Megan invested in ten bonds of total face value of $1.000, issued by Zen Corporation. The bonds paid 10 percer semiannual (5% every 6 months) interest till the maturity date, which of the following is the value of interest earned in the first installment on a single bond? A) $50 B) $100 C) $500 D) $90 E) $75

Answers

Answer 1

Answer:

$50 is the value of interest earned in the first installment on a single bond

Step-by-step explanation:

Applying Interest earned in the first installment on a single bond ;

= PRT/100

P = $1.000

R = 5%

T = 1

Plugging the values in the equation ;

Interest = 1000 x 5 x 1 /100

= $50, hence option A is the correct one.


Related Questions

What is the measure of angle x? 1) 10 2) 18 3) 20 4) 25

Answers

Answer:

what is the actual problem?

Step-by-step explanation:

PLEASE HELP...
Write a simplified polynomial expression in standard form to represent the area of the rectangle below:

A picture of a rectangle is shown with one side labeled as 2 x minus 2 and another side labeled as x plus 4.

2x2 + 3x − 20
2x2 + 13x − 1
2x2 + 13x − 20
2x2 + 3x − 1

Answers

The area of the given rectangle is of the standard form option 1.[tex]2x^{2} + 3x - 20[/tex].

Step-by-step explanation:

Step 1:

The parameters needed to determine the area of a rectangle are the base length and the width.

The base length of this rectangle is [tex]2x-5[/tex] units while its width is [tex]x+4[/tex] units.

The area of a rectangle is determined by multiplying the base length with the width.

Step 2:

The area of the rectangle [tex]= (length)(width).[/tex]

Here length is [tex]2x-5[/tex] units and the width is [tex]x+4[/tex] units.

The area of the rectangle[tex]= (2x-5)(x+4) = 2x^{2} + 8x -5x-20 = 2x^{2} + 3x - 20.[/tex]

So the area of the given rectangle is of the standard form [tex]2x^{2} + 3x - 20[/tex] which is the first option.

To find the area of the rectangle, we need to multiply the expressions for the lengths of its sides. The sides are given as [tex]\(2x - 2\) and \(x + 4\).[/tex]

First, write the expressions for the sides of the rectangle:

- One side is[tex]\(2x - 2\)[/tex]

- The other side is[tex]\(x + 4\)[/tex]

To find the area, multiply these two expressions:

[tex]\[(2x - 2)(x + 4)\][/tex]

Use the distributive property (also known as the FOIL method for binomials) to expand this product:

[tex]\[(2x - 2)(x + 4) = 2x(x) + 2x(4) - 2(x) - 2(4)\][/tex]

Simplify each term:

[tex]\[= 2x^2 + 8x - 2x - 8\][/tex]

Combine like terms:

[tex]\[= 2x^2 + 6x - 8\][/tex]

So, the polynomial expression in standard form representing the area of the rectangle is:

[tex]\[2x^2 + 6x - 8\][/tex]

Given the options:

- 2x^2 + 3x − 20

- 2x^2 + 13x − 1

- 2x^2 + 13x − 20

- 2x^2 + 3x − 1

None of these options exactly match our result of [tex]\(2x^2 + 6x - 8\),[/tex] indicating a potential error in the problem statement or options provided. The correct simplified polynomial expression for the area, based on the given side lengths, is[tex]\(2x^2 + 6x - 8\).[/tex]

In order for a film camera with a lens of fixed focal length F to focus on an object located a distance x from the lens, the film must be placed a distance y behind the lens. F, y, and x are related as follows: 1/F=1/X+ 1/Y. Now suppose a camera has a lens with focal length F = 65.1. Explain what happens to the focusing distance y as the object moves far away from the lens.2. Explain what happens to the focusing distance y as the object moves closer and closer to the lens.3. In general, why is it not possible to cross a vertical asymptote?

Answers

Answer:

y will increase if x is increased,

y will decrease if x is decreased.

Step-by-step explanation:

1/F=1/X+ 1/Y

1/F-1/X=1/Y

X-F/FX=1/Y

FX/X-F=Y

Rearranging, Y=FX/X-F

So this is the function in terms of X, and F is just a constant

Therefore, the function becomes Y=65X/X-65

Explanation:

y = focusing distance

x = distance from lens

Focusing distance y will increase if the object x moves far away from the lens i.e. x is increased,

Similarly, focusing distance y will decrease if the object x moves closer and closer to the lens i.e. x is decreased.

An asymptote is a function that mimics a curve f(x) as x approaches infinity.

A vertical asymptote, however, cannot be crossed in a function.  Remember that a function cannot have multiple y values for a given x value, hence the vertical line test for a function.  If a function crossed a vertical asymptote and then went back to it, then it would have to go back over itself as it becomes arbitrarily close to the asymptote. Therefore, it is not possible to cross a vertical asymptote.

The focal point, F, the object distance from the lens, X, and the image distance from the the lens, Y, vary according to the lens formula

1. The value of the focusing distance, Y, is negative and increases in

magnitude, when X < 65, and positive and decreasing in magnitude when

X > 65, the line X = 65 is a vertical asymptote.

2. When X > 65, the value of Y is positive and increasing as the object

moves closer to the lens. At X = 65, there is no image when 0 ≤ X < 65, the

value of Y is negative and increasing towards 0.

3. A vertical asymptote is a discontinuity, where the function is not defined

Reasons:

Known;

[tex]\dfrac{1}{F} = \dfrac{1}{X} + \dfrac{1}{Y}[/tex]

Where;

F = The focal length

X = Object distance from lens

Y = Location of film = Image distance from lens

(a) Given that F = 65, we have;

[tex]\dfrac{1}{65} = \dfrac{1}{X} + \dfrac{1}{Y}[/tex]

[tex]\dfrac{1}{65} - \dfrac{1}{X} = \dfrac{1}{Y}[/tex]

[tex]Y = \dfrac{65 \cdot X}{X - 65}[/tex]

Given that 65·X > X - 65 When X > [tex]-\dfrac{65}{64}[/tex], we have;

As X is increased, Y is decreases, with the rate of decrease reducing as the

value of X gets larger.

(b) As the object moves closer to the lens, when X > 65, the value of Y

increases, at X = 65, the value of Y is infinity, which is a vertical asymptote,

as the object moves closer, the value of Y becomes negative, with the

value increasing (becoming less negative) and when X = 0, Y = 0

3. It is not possible to cross the asymptote because the function has a

discontinuity at the asymptote, which represent the point where the image

is at infinity, such that giving that the distance of the image increases as X

approaches the asymptote, crossing the asymptote results in the image

located further than infinity (which is impossible).

Learn more here:

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The polynomial y=−0.73x4+3.1x3+26.5 describes the billions of flu virus particles in a person's body x days after being infected. Find the number of virus particles, in billions, after 3 days. There are billion virus particles in a person's body 3 days after being infected.

Answers

Final answer:

To find the number of virus particles after 3 days, substitute x=3 into the given polynomial. The number of virus particles, in billions, after 3 days is approximately 48.37 billion.

Explanation:

To find the number of virus particles after 3 days, substitute x=3 into the polynomial:

y = -0.73(3)^4 + 3.1(3)^3 + 26.5

Calculating this expression:

y = -0.73(81) + 3.1(27) + 26.5 = -59.13 + 81 + 26.5 = 48.37

Therefore, the number of virus particles, in billions, after 3 days is approximately 48.37 billion.

Leah asked her dance students to each hand out at least 10 flyers advertising their upcoming dance recital. She constructed a histogram to display the number of recital flyers handed out by the students.

Answers

Final answer:

Leah asked her dance students to hand out at least 10 flyers for their upcoming dance recital and construct a histogram to display the data.

Explanation:

In this question, Leah asked her dance students to each hand out at least 10 flyers for their upcoming dance recital. Then, she constructed a histogram to display the number of recital flyers handed out by the students.

To solve this, Leah can tally the number of students who handed out a specific number of flyers and create intervals on the x-axis of the histogram to represent the number of flyers. The height of each bar in the histogram will represent the number of students who handed out the corresponding number of flyers. By constructing the histogram, Leah can visualize the distribution of the number of flyers handed out by her dance students.

Final answer:

The question is related to Mathematics, specifically the creation and analysis of histograms, frequency tables, and probability distributions, often used in statistics to visualize and interpret various sets of data.

Explanation:

The student's question falls under the subject of Mathematics, specifically related to statistics and data analysis. In this instance, various exercises are mentioned where the creation and interpretation of histograms are central. These exercises are multifaceted, requiring students to compile data, calculate statistical measures such as means and probabilities, and graphically represent data using histograms and other charts.

For example, when Leah asks her dance students to hand out flyers, she is gathering data that can be represented in a histogram to visualize the distribution of flyers handed out. Similarly, the ballet instructor's data on retention rates can form a probability distribution. When Jill delivers flyers for her yard sale, her travel distances and times could be used to create a time series graph.

Histograms, frequency tables, and probability distributions are tools used in these exercises to better understand the data collected, whether it's related to dance flyer distribution, car sales, or family size among classmates.

Amanda wants to attend Baylor University for her 4-year college. She is a National Merit Scholar and scores a 1500 on her SATs. This qualifies her for a yearly scholarship of $44,194. How much additional money does she need to have to attend Baylor for 4 years?

Answers

Answer:

$58,544

Step-by-step explanation:

Given that Baylor charges tuition fees at $41,194, Room at $13038 and Required fees at $4598 p.a. We also know that the scholarship pays $44194 p.a.

#The additional money for the four years is the total  minus the scholarship  multiplied by 4 yrs:

[tex]C_{p.a}=Tution+Room+Required\\\\=41194+13038+4598\\\\=58830\\\\Scholarship=44194\\\\\bigtriangleup p.a=58830-44194\\\\=14636[/tex]

The additional cost to attend the college for the next four years is:

[tex]\bigtriangleup p.a=14636\\\\\sum{\bigtriangleup p.a _i}=4\times 14636\\\\=58544[/tex]

Hence, Amanda needs an additional $58,544 to attend Baylor for the 4 years.

The mean salary for a new teacher in your town is $48,000. You believe it is higher for new teachers in a neighboring town. State the null and alternative hypotheses.

Answers

Answer:

Step-by-step explanation:

Given that the mean salary for a new teacher in your town is $48,000

You believe it is higher for new teachers in a neighboring town.

So to prove or disprove your claim you have to show statistical evidence.

For that hypothesis testing is necessary.

You must conduct a hypothesis test for comparing the mean of salary of new teacher with neighbouring places

The hypotheses wouldbe

[tex]H_0: \mu = 48000\\H_1: \mu >48000[/tex]

where mu is the average for neighbouring states.

If Naomi were to paint her living room alone, it would take 5 hours. Her sister Jackie could do the job in 8 hours. How many hours would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.

Answers

Answer: it would take them 40/13 hours

Step-by-step explanation:

If Naomi were to paint her living room alone, it would take 5 hours. it means that the rate at which she paint her living room alone is 1/5

Her sister Jackie could do the job in 8 hours. it means that the rate at which Jackie paint the living room is 1/8

If they work together, they would work simultaneously and their individual rates are additive. This means that their combined working rate would be

1/5 + 1/8 = (8 + 5)/40 = 13/40

Assuming it takes t hours for both of them to clean the room working together, the working rate per hour would be 1/t. Therefore,

13/40 = 1/t

t = 40/13 hours

HELP!! I NEED THIS QUICKLY

Jakita examines the ordered pairs ( 3/4, 2/3), (1/4, 2), (1, 1/2) and (1/2, 1), and determines the points form a direct variation with a k value of 1/2.

Which statements about Jakita's conclusion are true? Select two options.
A.) The points actually represent an inverse variation.
B.) The k value of the direct variation is actually 2.
C.) The ordered pairs can be represented by the function y = x/2
D.) The ordered pairs can be represented by the function y = 1/2x
E.) As one quantity increases, the other also increases.​

Answers

Answer:

A and D

Step-by-step explanation:

We are given that

(3/4,2/3),(1/4,1),(1,1/2) and (1/2,1)

[tex]x_1=\frac{3}{4}[/tex]

[tex]y_1=\frac{2}{3}[/tex]

[tex]x_2=\frac{1}{4},y_2=1[/tex]

[tex]x_3=1,y_3=\frac{1}{2}[/tex]

[tex]x_4=\frac{1}{2},y_4=1[/tex]

k=[tex]\frac{1}{2}[/tex]

Direct proportion:

[tex]\frac{x}{y}=k[/tex]

Inverse proportion:[tex]xy=k[/tex]

[tex]\frac{x_1}{y_1}=\frac{3}{4}\times \frac{3}{2}=\frac{9}{8}\neq \frac{1}{2}[/tex]

Therefore, it is not in direct proportion.

[tex]\frac{1}{4\times 2}=\frac{1}{8}\neq\frac{1}{2}[/tex]

[tex]\frac{1}{\frac{1}{2}}=2\neq \frac{1}{2}[/tex]

[tex]x_1y_1=\frac{3}{4}\times \frac{2}{3}=\frac{1}{2}[/tex]

[tex]x_2y_2=\frac{1}{4}\times 2=\frac{1}{2}[/tex]

[tex]x_3y_3=1\times \frac{1}{2}=\frac{1}{2}[/tex]

[tex]x_4y_4=\frac{1}{2}\times 1=\frac{1}{2}[/tex]

Therefore, [tex]xy=k=\frac{1}{2}[/tex]

Hence, the given points form an inverse variation .

[tex]xy=\frac{1}{2}[/tex]

[tex]y=\frac{1}{2x}[/tex]

Option A and D is true.

Answer: A and D

Step-by-step explanation:

Cause edg2020

Marcos made a fruit salad. It contains 6 strawberries, 5 mango slices, 18 grapes, and 2 kiwis. What is the ratio of the number of strawberries to grapes? Express the ratio in simplest form.

3:9


3:1


1:3


9:3

Answers

Answer:

1 : 3

Step-by-step explanation:

The ratio of strawberries : grapes = 6 : 18 ( divide both values by 6 )

ratio = 1 : 3 ← in simplest form

Answer:

1 : 3

Step-by-step explanation:

The ratio of strawberries : grapes = 6 : 18 ( divide both values by 6 )

ratio = 1 : 3 ← in simplest form

Cathy fills a 10-cup bucket with pond water. She uses a 2-cup jar to scoop out water from the pond and pours it into her bucket. How many times does cathy need to scoop water from the pond to fill the bucket?

Answers

Answer:

  5

Step-by-step explanation:

Very early in your study of multiplication tables, you learned that ...

  5 × 2 = 10

Cathy must fill the 2-cup jar 5 times to transfer a total of 10 cups.

Final answer:

To fill a 10-cup bucket using a 2-cup jar, Cathy must scoop water from the pond 5 times, as 10 divided by 2 equals 5.

Explanation:

The question is how many times Cathy needs to scoop water from the pond with a 2-cup jar to fill her 10-cup bucket.

To find the answer, we simply divide the total capacity of the bucket by the capacity of the jar. So, the calculation would be:

Calculate the total number of cups needed: 10 cups (capacity of the bucket).

Calculate the number of cups per scoop: 2 cups (capacity of the jar).

Divide the total number of cups by the number of cups per scoop: 10 cups/ 2 cups per scoop

= 5 scoops.

Cathy needs to scoop water from the pond 5 times to fill her 10-cup bucket.

At the moment a hot iron rod is plunged into freezing water, the difference between the rod's and the water's temperatures is 100\degree100°100, degree Celsius. This causes the iron to cool and the temperature difference drops by 60\%60%60, percent every second. Write a function that gives the temperature difference in degrees Celsius, D(t)D(t)D, left parenthesis, t, right parenthesis, ttt seconds after the rod was plunged into the water.

Answers

Answer:

[tex]D(t)=100(0.4)^t[/tex]

Step-by-step explanation:

The temp is 100 at time t = 0

After 1 sec, the temp difference would be:

[tex]100-(\frac{100-60}{100})[/tex]

After 2 sec, the temp difference would be:

[tex]100-(\frac{100-60}{100})^2[/tex]

Similarly for 3 seconds, 4 seconds etc.

We notice that the parenthesis part is 40% of it, so we can also write:

100(40%)^t,

where

t is the time

40% can be written as 40/100  = 0.4

SO, the function is:

[tex]d(t)=100(0.4)^t[/tex]

Answer:

[tex]D(t)=100*0.4^t[/tex]

Step-by-step explanation:

Initially, the difference between the rod's and the water's temperatures is 100°

i.e D(t)=100 When t=0

After 1 seconds, the temp drops by 60%.

Therefore, the new value of D will be the old value multiplied by (100-60)%.

D(1)=100 X (100%-60%) = 100*0.4

After 2 seconds, the temp difference would be:

D(2)=100*0.4*0.4= [tex]100*0.4^2[/tex]

We notice that for any t, the percentage at which the difference is reduced is raised to the power of t.

Therefore, temperature difference in degrees Celsius, D(t), t seconds after the rod was plunged into the water is given as:

[tex]D(t)=100*0.4^t[/tex]

A local car dealership is holding a year-end event because new car models have just been released. Declan has $35,000 to spend on a car. The car Declan decides to buy for his family costs $35,000. However, it is part of the year-end event, which means he receives a 15% discount on the new car. Declan plans to put the money he saves on the car into a new bank account. The bank account has a yearly simple interest rate of 4%, paid at the end of each year. If Declan does not add any other money to this bank account, it will take 6 years for Declan's bank account to reach $6,720.

Answers

Answer:

The amount Declan saves from the discount is 15% of $35,000

which is $5250

This Amount $5250 is the amount Declan invests in the bank

This is the Amount the bank pays at the end of the time T of saving

Step-by-step explanation:

The simple Interest is calculated by

I = (P x R x T) / 100

where I is the Interest

R  is the rate in percentage

T  is the time the money will be saved

Another Important quantity is the Amount A

A = I + P

A particle is moving horizontally along the x-axis. Its position (in ft) is: s(t)=t^3-18t^2+33t+14 where t is in sec.
Find the time at which the particle switches from moving left to moving right.
t= ___ sec.

Answers

Answer:

t=11 sec

Step-by-step explanation:

The position of the particle moving along the x-axis is given by:

[tex]s(t) = {t}^{3} - 18 {t}^{2} + 33t + 14[/tex]

The velocity is given by:

[tex]s'(t) = 3 {t}^{2} - 36{t} + 33[/tex]

If s'(t)>0 then the particle is moving right.

[tex]3 {t}^{2} - 36{t} + 33 \: > \: 0 \\ {t}^{2} - 12{t} + 11\: > \: 0[/tex]

[tex] \implies \: t \: < \: 1 \: or \: t \: > \: 11[/tex]

This means that the particle is moving left when

[tex]1 \: < \: t \: < \: 11[/tex]

The particle changes direction at time t=1 or t=11

M is a degree 3 polynomial with m ( 0 ) = 53.12 and zeros − 4 and 4 i . Find an equation for m with only real coefficients (i.E. No i in your equation.

Answers

Answer:

Therefore the required polynomial is

M(x)=0.83(x³+4x²+16x+64)

Step-by-step explanation:

Given that M is a polynomial of degree 3.

So, it has three zeros.

Let the polynomial be

M(x) =a(x-p)(x-q)(x-r)

The two zeros of the polynomial are -4 and 4i.

Since 4i is a complex number. Then the conjugate of 4i is also a zero of the polynomial i.e -4i.

Then,

M(x)= a{x-(-4)}(x-4i){x-(-4i)}

      =a(x+4)(x-4i)(x+4i)

      =a(x+4){x²-(4i)²}      [ applying the formula (a+b)(a-b)=a²-b²]

      =a(x+4)(x²-16i²)

      =a(x+4)(x²+16)      [∵i² = -1]

      =a(x³+4x²+16x+64)

Again given that M(0)= 53.12 . Putting x=0 in the polynomial

53.12 =a(0+4.0+16.0+64)

[tex]\Rightarrow a = \frac{53.12}{64}[/tex]

      =0.83

Therefore the required polynomial is

M(x)=0.83(x³+4x²+16x+64)

Which equation could you use to solve for x in the proportion StartFraction 4 over 5 EndFraction = StartFraction 9 over x EndFraction? 4 x = 14 4 x = 45 5 x = 13 5 x = 36

Answers

Answer:

(b) 4 x = 4 5 is the needed expression to solve for the value of x.

Step-by-step explanation:

Here, the given proportion is simplified as:

[tex]\frac{4}{5} = \frac{9}{x}[/tex]

Now, to simplify any proportion of the form [tex]\frac{a}{b} = \frac{c}{d}[/tex]  the simplest way is CROSS MULTIPLICATION.

So, cross multiplying  [tex]\frac{a}{b} = \frac{c}{d} \implies ad = bc[/tex]

Similarly cross multiplying [tex]\frac{4}{5} = \frac{9}{x}[/tex], we get:

4 (x)  = (9) (5)

or, 4 x  = 45

Hence, 4 x = 45 is the needed expression to solve for the value of x.

Answer:

4x=45

Step-by-step explanation:

4/5=9/x, so first you would multiply 5×9 (because cross products are always equal) and you would get 45. Since 4x has to also equal 45, the answer is 4x=45.

Hope this helps (P.S. I got it right on the test)!

#2 math help needed

Answers

Answer:

Step-by-step explanation:

False.  Asymptotes are the walls that the function can't get over.  This wall has no gaps or holes, nor does it have a gate.  The function has to stay on one side of the asymptote in order for it to be a legit asymptote.  Since our function is both above and below the dotted line, the dotted line is not an asymptote.

To determine the squirrel population in a city park, researchers tagged 90 squirrels. Later, they counted 630 squirrels, 42 of which had tags. Based on this data, what is the total number of squirrels in the park?

Answers

Answer:

1350

Step-by-step explanation:

Initially 90 squirrels were tagged out of a total population of x squirrels.

Similarly, 42 squirrels out of a sample of 630 squirrels had tag

We can use ratio equality to find the total population x.

42:90=620:x

[tex]\frac{42}{90} =\frac{630}{x}[/tex]

Cross multiplying

42 X x = 630 X 90

Dividing both sides by 42

[tex]x=\frac{630 X 90}{42} \\=1350[/tex]

The total number of squirrels in the city park is 1350.

The total number of squirrels in the park is approximately 1350.

To estimate the total squirrel population in the park, we can use the Lincoln-Petersen method, which is a mark-recapture technique. The formula for this method is:

[tex]\[ N = \frac{(M \times n)}{m} \][/tex]

Given the data:

- ( M = 90 ) (the number of tagged squirrels),

- ( n = 630 ) (the total number of squirrels counted in the second sample),

- ( m = 42 ) (the number of tagged squirrels found in the second sample).

Plugging these values into the formula, we get:

[tex]\[ N = \frac{(90 \times 630)}{42} \] \[ N = \frac{56700}{42} \] \[ N = 1350 \][/tex]

Therefore, the total number of squirrels in the park is estimated to be 1350.

What is the volume of the rectangular prism below?
24 in 3
48 in 3
72 in 3
108 in 3

Answers

Answer:

72

Step-by-step explanation:

3 x 4 = 12

12 x 6 = 72

hope i helped

A road sign between Cincinnati and Dayton shows both mile and kilometer measurements. According to the sign at that point, a driver is 54 kilometers or 34 miles from Dayton. If the sign is accurate, 1 mile=__________Kilometers?

Answers

Answer:

The answer to your question is 1.59 km

Step-by-step explanation:

Data

Sign 54 km or 34 mi

1 mi = ? km

Process

1.- Use proportions and cross multiplication to find the answer

               54 km ----------------- 34 mi

                 x   km ----------------    1 mi

                 x = (1 mi x 54 km) / 34 mi

-Simplification

                 x = 54 km / 34

-Result

                x = 1.59 km

2.- Conclusion

1 mile is equivalent to 1.59 km

What is the leading coefficient of the polynomial?

30x2 + 12x + 18x3 + 10

A) 10
B) 12
C) 18
D) 30

Answers

Answer: It is C because if you organize the equation numerically the equation is 18x^3+30x^2+12x+10. So it is 18.

There are about 320 million residents on the United States if 38% of them live in the south,estimate how many live in other areas of the United States?

Answers

Answer:

198,400,000

Step-by-step explanation:

Total Approximate Number of Residents in the United States = 320 million

38 per cent of the total number of residents live in the South

That means, as a percentage, 100%-38%=62% live in other areas of the Unjted States.

[tex]62 \% of 320 million[/tex] = [tex]\frac{62}{100}X320000000[/tex]=198,400,000.

Therefore a total of about 198,400,000 live in other areas of the United States.

Moshe is playing cards and is grouping the cards that have already been played by suit (hearts, clubs, diamonds, and spades). Moshe is using what type of encoding?

Answers

Answer:

organizational

Step-by-step explanation:

organizational encoding iis process of categorizing information according to. the relationships among a series of items. Here the categorizing information are hearts, clubs, diamonds, and spades.

Hope it will find you well.

Final answer:

Moshe is using categorical encoding to group the cards that have already been played by suit

Explanation:

Moshe is using categorical encoding to group the cards that have already been played by suit. Categorical encoding is a type of semantic encoding, where information is organized and stored based on categories or groups. In this case, Moshe is categorizing the cards into the four suits: hearts, clubs, diamonds, and spades.

Learn more about Categorical Encoding here:

https://brainly.com/question/31144201

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You bought 15 1 gallon bottles of orange juice and apple juice for school breakfast. The apple juice was on sale for $1.50 per gallon bottle. The orange juice was two dollars per gallon bottle. You spent $26. How many bottles of each type of juice did you buy

Answers

Answer: you bought 7 bottles of orange juice and 8 bottles of apple juice.

Step-by-step explanation:

Let x represent the number of 1-gallon bottles of orange juice that you bought.

Let y represent the number of 1-gallon bottles of apple juice that you bought.

You bought 15 1 gallon bottles of orange juice and apple juice for school breakfast. This means that

x + y = 15

The apple juice was on sale for $1.50 per gallon bottle. The orange juice was two dollars per gallon bottle. You spent $26. This means that

2x + 1.5y = 26 - - - - - - - - - - - - -1

Substituting x = 15 - y into equation 1, it becomes

2(15 - y) + 1.5y = 26

30 - 2y + 1.5y = 26

- 2y + 1.5y = 26 - 30

- 0.5y = - 4

y = - 4/ - 0.5

y = 8

x = 15 - y = 15 - 8

x = 7

If sample variance is computed by dividing SS by n, then the average value of the sample variances from all the possible random samples will be _______ the population variance.

Answers

Answer:

Less than

Step-by-step explanation:

Sample variance is computed by dividing the Sum of Squares (SS) by the number of samples (n).

Population variance is computed by dividing the Sum of Squares (SS) by the difference between the number of samples and 1 (n-1).

After computing, it would be found that the sample variance is less than the population variance.

Final answer:

The average of sample variances, computed by dividing the Sum of Squares by sample size (n) from all possible samples, will be less than the population variance.

Explanation:

If sample variance is computed by dividing Sum of Square (SS) by sample size (n), then the average value of the sample variances from all possible random samples would be biased. In fact, it will be less than the actual population variance. This is commonly known as Bessel's correction in statistics. For an unbiased estimate of the population variance, we should rather divide the SS by degrees of freedom (n-1), not by the sample size n. So, when you average the sample variances, obtained by dividing by n from all possible samples, the result will be less than the population variance.

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​A population of scores has µ = 50 and σ = 5. If every score in the population is multiplied by 3, then what are the new values for the mean and standard deviation?

Answers

Answer:

The new mean = 3 × (the old mean) = 150

The new standard deviation is also = 3 × (The old standard deviation) = 15

Step-by-step explanation:

µ = 50 and σ = 5

The mean is the sum of variables divided by the number of variables.

Mean = (Σx)/N = µ = 50

x = each variable

N = number of variables

If each variable changed to 3x

Mean becomes

Mean = (Σ(3x))/N = 3 (Σx)/N = 3 × µ = 3 × 50 = 150.

The standard deviation is the square root of variance. And variance is an average of the squared deviations from the mean.

The standard deviation measures the rate of spread of the data set around the mean.

Standard deviation = σ = √[Σ(x - µ)²/N]

x = each variable

µ = mean

N = number of variables

If each variable changed to 3x

Recall µ changed to 3µ

Standard deviation = σ = √[Σ(3x - 3µ)²/N]

σ = √[Σ 3² (x - µ)²/N] = √[(3²)Σ(x - µ)²/N] = 3×√[Σ(x - µ)²/N] = 3 × σ = 3 × 5 = 15

If every score is multiplied by 3, it is logical to reason that the average of the new set of numbers also is 3× the old average.

And the new set of numbers spread out similarly around this new mean, only that the new space of spread is now 3× the old one.

Final answer:

When every score in a population is multiplied by a constant, both the mean and the standard deviation are multiplied by that constant. So, in the given example, the new mean would be 150 and the new standard deviation would be 15.

Explanation:

In mathematics, when every score in a population is multiplied by a constant, both the mean (µ) and the standard deviation (σ) are also multiplied by that constant.

So, if every score in a population with µ = 50 and σ = 5 is multiplied by 3, the new mean (µ_new) would be 50 * 3 = 150, and the new standard deviation (σ_new) would be 5 * 3 = 15.

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You are ordering a hamburger and can get up to 7 toppings, but each topping can only be used once. You tell the cashier to surprise you with the toppings you get. What is the probability that you get 2 toppings

Answers

Answer:

Probability, P(getting 2 toppings)= 0.1984

Step-by-step explanation:

Probability, P(1 toppings)= 1/7

Probability P of getting a particular topping is q = 1 - P = 1 - 1/7 = 6/7

Probability of( getting 2 toppings)= 7!/(2!5!)(1/7)^2 × (6/7)^5

P(getting 2 toopings)= (5040/240) × (0.020)× (0.4627)

P(getting 2 toppings)= 21 × 0.00948 = 0.1984

Quiz 2 Problem The double number line shows that 444 bottles of water cost 101010 dollars at a music festival. Based on the ratio shown in the double number line, how much does 333 bottles of water cost? dollars Report a problem

Answers

Answer:

Cost of 3 bottles will be $7.5.

Step-by-step explanation:

Given:

According to double number line.

Cost of 4 bottles = $10

Based on this we need to find the cost of 3 bottles of water.

Solution:

Now we know that;

4 bottles = $10

1 bottle = Cost of 1 bottle

By using Unitary method we get;

Cost of 1 bottle = [tex]\frac{10}{4}=\$2.5[/tex]

So we can say that;

Cost of n bottles = [tex]\$2.5n[/tex]

Cost of 3 bottles = [tex]\$2.5\times 3 = \$7.5[/tex]

Hence Cost of 3 bottles will be $7.5.

Now we have drawn the double number line.

Bottom line(Line 1)  will be number of bottles:  

1   2   3   4   5   6  

Top line (Line 2) will be the cost of corresponding bottles:

2.5  5  7.5  10  12.5  15

Answer:

$7.5 Dollars

Step-by-step explanation:

The cost of 4 bottles is $10. So, 1 bottle is going to be $2.50.

Now, to find the cost of 3 water-bottles, we have to multiply.

$2.50 * 3 = $7.50.

So, the answer to this question is  3 bottles = $7.50

(Hope this helps!)

To discourage students from driving to campus, a university claims students spend an average of 20 minutes looking for a parking spot. One student does not believe it takes so long to find a spot. After taking a random sample of 45 students, a sample mean of 17.4 minutes to find a parking spot was calculated.
To assess the evidence provided by the sample data, what is the appropriate question to ask?
1. The true mean amount of time needed to find a parking spot 17.4 minutes?
2. How likely is it that the true mean amount of time needed to find a parking spot is 20 minutes?
3. How likely is it that, in a sample of 45, the true mean amount of time needed to find a parking spot is 17.4 minutes or less if the true mean is 20?
4. How likely is it that, in a sample of 45, the true mean amount of time needed to find a parking spot is less than 20 minutes?

Answers

Answer:

The correct answer to the question is

4. How likely is it that, in a sample of 45, the true mean amount of time needed to find a parking spot is less than 20 minutes?

Step-by-step explanation:

Confidence interval provides a range of likely values for an unknown parameter. The interval is weighted based on probabilities of occurrence, such as 95% or 99% based on the result of a sample of test data.

It gives the probability that a given parameter such as the mean will be of a certain value range based on a given number of times.

As such the confidence level of the given mean amount of time needed to find a parking spot should be known.

What steps should be used to find the range of a set of data? Put the values in order, then locate the value that is far away from every other value. Subtract the maximum and minimum values. Add all of the values together, then divide the sum by the number of values. Add the two middle values together, then divide the sum by two.

Answers

Answer:

Subtract the maximum and minimum values.

Step-by-step explanation:

The range of a data set is the interval that contains all values in the set and is determined as the difference between the maximum and the minimum values within the data set. Therefore, in order to find the range of a set of data, simply subtract the maximum and minimum values.

Answer:

Subtract the maximum and minimum values.

Step-by-step explanation:

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