A teacher asked her students how many pets they own.Here are the results: 0,0,0,1,1,1,1,2,2,2,4,4,8 On a piece of paper, draw a dot plot to represent the data.Then determine which answers choice matches the dot plot you drew.

Consecutive terms differ by 1.5, so this is an arithmetic sequence given by

[tex]\begin{cases}a_1=19\\a_n=a_{n-1}+1.5&\text{for }n>1\end{cases}[/tex]

So we have

[tex]a_2=a_1+1.5[/tex]

[tex]a_3=a_2+1.5=a_1+2\cdot1.5[/tex]

[tex]a_4=a_3+1.5=a_1+3\cdot1.5[/tex]

and so on, up to

[tex]a_n=a_1+1.5(n-1)=17.5+1.5n[/tex]

The sum of the first [tex]N[/tex] terms is 10,900:

[tex]\displaystyle\sum_{n=1}^Na_n=\sum_{n=1}^N(17.5+1.5n)=17.5N+1.5\dfrac{N(N+1)}2=10,900[/tex]

[tex]\implies17.5N+0.75N(N+1)=10,900[/tex]

[tex]\implies0.75N^2+18.25N-10,900=0[/tex]

[tex]\implies N=109[/tex] (we ignore the negative solution)

so there are 109 terms in the series.

Answer:

Step-by-step explanation:

[tex]19,\ 20.5,\ 22,\ 23.5,\ ...,\ 181\\\\\text{It's the arithmetic sequence with:}\\\\a_1=19,\ a_n=181.\\\\\text{The sum of n terms of this sequence is equal to 10,900.}\\\\\text{the formula of a sum of n terms of an arithmetic sequence:}\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\\text{Substitute:}\ S_n=10,900,\ a_1=19,\ a_n=181:\\\\\dfrac{19+181}{2}\cdot n=10,900\\\\\dfrac{200}{2}n=10,900\\\\100n=10,900\qquad\text{divide both sides by 100}\\\\n=109[/tex]

Answer:

x = - 2

Step-by-step explanation:

0.5x = - 1

(0.5/0.5 ) x = -1/0.5

Use your calculator

1

÷

0.5

=

You should get 2. But there is a minus sign on the right. The answer is -2

2.14 is the answer!!!

Answer:

Step-by-step explanation:

3*5 / 7 is the way I'm guessing it is.

15/7  one way it can be represented.

2 1/7 is another way.

2.1428 is yet another way.

Answer:

3,-4

Step-by-step explanation:

Answer: (9,11)

Explanation: if you plot (9,11) on a grid you can see that the length between 3 and 9 is 6. And the length between 9 and 11 is 6. 6 times 6 is 36. The two length have to be equal to each other because it is a square.

Answer:

It has to be 25 it is the middle number

Answer:

C which is 30.

Answer:

15%

Step-by-step explanation:

15% of 40 is 6.

Answer:

50%=250

20%=50

40%=80

50=60

so she kept $60

Step-by-step explanation:

Answer:

$60

Step-by-step explanation:

Winning = $500

Mildred  = 50% of $500 = 0.5 x $50 = $250

Left = $500 - $250 = $250

Berice = 20% of $250 = 0.2 x $250 = $50

Left = $250 - $50 = $200

Alice = 40% of $200 = 0.4 x $200 = $80

Left  = $200 - $80 = $120

Bea = 50% of $120 = 0.5 x $120 = $60

Left = $120 - $60 = $60

what expression?

if you have an expression then I could probably help you.

Final answer:

By setting up a system of equations based on the provided information and solving them, we can determine that there were 5 adults in the group that attended the circus.

Explanation:

To determine how many adults were in the group at the circus, let's use variables to represent the number of students and adults in the group. Let x be the number of students and y be the number of adults. We know there are a total of 9 people, so we have the equation:

x + y = 9

The total cost for all tickets is $60, and considering the cost for students is $5 and for adults is $8, we have the equation:

5x + 8y = 60

We now have a system of equations that can be solved using the substitution or elimination method. If we solve for x in the first equation (x = 9 - y) and substitute into the second equation:

5(9 - y) + 8y = 60

45 - 5y + 8y = 60

3y = 15

y = 15 / 3

y = 5

There are 5 adults in the group. Now, we can find the number of students by substituting y back into the first equation:

x + 5 = 9

x = 9 - 5

x = 4

So, there are 4 students in the group.

Answer:

455.

Step-by-step explanation:

Yes. You require the number of combinations of 3 from 15.

15C3

The formula for this is   15! / 12! 3! or you can do itr as follows

15C3 = 15*14*13/3*2*1

= 5*7*13

= 35*13

= 455.

Answer:

A.) 40(t) = E

B.) 520

Step-by-step explanation:

t is for time, E is the total, H is the hourly rate.

plug in the numbers to get 40(13) = h and solve for H and you get 520

-- Brainliest answer is much appreciated! :)

An equation is formed of two equal expressions. Mary's earnings after tutoring for 13 hours is $520.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that for each hour that Mary tutors she earns 40 dollars. Therefore, the equation to find marys earnings after tutoring for H hours can be written as,

Earnings = Hourly rate of tutoring × Number of hours

E = 40 × H

E = 40H

Now, Mary's earnings after tutoring for 13 hours will be,

E = 40(13)

E = 520

Hence, Mary's earnings after tutoring for 13 hours is $520.

Learn more about Equation here:

https://brainly.com/question/14686792

#SPJ2

Answer:

the answers are interquartile range and mean absolute deviation

Step-by-step explanation:

In statistics, measures of variability are Interquartile Range and Mean Absolute Deviation, which indicate the degree of spread in a data set. However, the Mean is a measure of central tendency, not variability.

In the context of statistics, measures of variability are statistical data that highlight the degree of the spread in a data set. These are measures that can help us to identify how much the values in the data set differ from their mean value. Out of the options provided, II. Interquartile Range and III. Mean Absolute Deviation can be classified as measures of variability.

The Interquartile Range (IQR) is a measure of statistical dispersion and is calculated as the difference between the 75th and 25th percentiles. It’s the range within which the center half of a data set lies. The Mean Absolute Deviation (MAD) is the average distance between each data value and the mean.

However, I. Mean is not a measure of variability but rather a measure of central tendency. It helps to identify the central point or typical value of a data set but does not represent the dispersion of data points.

https://brainly.com/question/31636027

#SPJ6

Line DF is parallel

In triangle ABC with midpoints D, E, and F on sides AB, BC, AC, respectively, segment DF is parallel to BC based on the Midline Theorem

In triangle ABC, if D, E, and F are the midpoints of sides AB, BC, and AC, respectively, then the line segment DE is parallel to BC as per the Midline Theorem.

This theorem states that if a line segment connects the midpoints of two sides of a triangle, that segment is parallel to (and half the length of) the third side of the triangle.

Considering our given scenario, the midpoints of AB and AC are D and F and the line segment formed is DF.

Following the Midline Theorem, this segment DF would be parallel to the third side of the triangle, i.e., BC.

So, the answer to the question 'which segment is parallel to BC?' is DF.

Learn more about Midline Theorem here:

https://brainly.com/question/30242629

#SPJ3

The probable question may be:

In triangle ABC, Point D, E and F are midpoint of triangle ABC.

which segment us parallel to BC?

A. AB

B. DF

C. AC

D. DE

Answer:

A)$1667 in 7.5%, $833 in 6%

Step-by-step explanation:

You need to average 7% interest.

initial investment = $2500

7% of $2500 = [tex]\frac{7}{100}[/tex] × 2500  ⇒ (0.07 ) × (2500) ⇒ $175

so the combined interest from both accounts should be $175

Checking options:

A)$1667 in 7.5%, $833 in 6%                      ∵ 7.5 % = 0.075  

(1667 × 0.075) + (833 × 0.06)                             6 % = 0.06

125.025 + 49.98 ⇒ 175.005

B) $1833 in 7.5%, $667 in 6%

(1833 × 0.075) + (667 × 0.06)

137.475 + 40.02 ⇒ 177.495

C)$667 in 7.5%, $1833 in 6%

(667 × 0.075) + (1833 × 0.06)

50.025 + 109.98 ⇒ 160.005

D)$833 in 7.5%, $1667 in 6%

(833 × 0.075) + (1667 × 0.06)

62.475 + 100.02 ⇒ 162.495

Option A is the closest to average7% interest of $2500, which is $175.

Answer:

c

Step-by-step explanation:

Answer:

C. The number is even or less than 12.

Step-by-step explanation:

Let's analyze each event:

A. The number is greater than 2.

This doesn't cover the case when we get number 2. Because 2 is equal to 2, not greater.

B. The number is not divisible by 5.

10 and 5 are divisible by 5, so this doesn't cover the entire sample space.

C. The number is even or less than 12.

Let's notice that every number from {2, 3, 4, ... 10} is less than 12, so the even part of the event doesn't play any role. This covers the entire sample space.

D. The number is neither prime nor composite.

The definition of prime number is exactly the opposite of composite number, so there can't be a number that's neither both. This event doesn't cover any number of the set.

E. The square root of the number is less than 3.

This doesn't cover number 10, because the square root of 10 is approx. 3,16 that's greater than 3.

Answer:

is an equation in which a variable is under a radical

Answer:

An equation where the radical is under the equation...

Step-by-step explanation:

Right?

ok so divide 1500 by 250 to determine how many boxes you need to by in 1 year

so that equals 6 then you multiply that by $30 to find the total cost of all the diapers per year so the is $180 per year and then multiply that by 3 to find the cost of all 3 years

So the answer is you will spend $540 in total

Answer: you will spend $540 on diapers total.

[tex]5(3x + 8) \\ 15x + 40[/tex]

Hope that helped

Answer:

15x+40

Step-by-step explanation:

Use the Distributive Property

Answer:

Area 6

Hope This Helps!  Have A Nice Day!!

Area 6

Hope This Helps!  Have A Nice Day!!

Answer:

Its A) 23

Step-by-step explanation:

Its right, trust me

The possible value of the third side of the triangle is 23.

The range of third side c when two sides a and b of a triangle are known is given by the inequality:

[tex]a-b < c < a+b[/tex]

It is given that:

a =15

b = 9

So, by the triangle inequality

[tex]15-9 < c < 15+9[/tex]

6 <c <24

The third side will take the value between 6 and 24.

so, the possible value of the third side of the triangle i.e. c is 23.

Therefore, the possible value of the third side of the triangle is 23.

To get more about triangles visit:

https://brainly.com/question/309896

Answer:

9000 milligrams

Step-by-step explanation:

1 gram = 1000 milligrams

( × 9 on both sides to get 9 grams )

9 grams = 9000 milligrams

Answer:

9000 milligram

Step-by-step explanation:

multiply the mass value by 1000

Answer:

[tex]y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}[/tex]

Step-by-step explanation:

An equation in the vertex form is written as

[tex]y = a (x-h) + k[/tex]

Where the point (h, k) is the vertex of the equation.

For an equation in the form [tex]ax ^ 2 + bx + c[/tex] the x coordinate of the vertex is defined as

[tex]x = -\frac{b}{2a}[/tex]

In this case we have the equation [tex]y = 9x^2 + 9x - 1[/tex].

Where

[tex]a = 9\\\\b = 9\\\\c = -1[/tex]

Then the x coordinate of the vertex is:

[tex]x = -\frac{9}{2(9)}\\\\x = -\frac{9}{18}\\\\x = -\frac{1}{2}[/tex]

The y coordinate of the vertex is replacing the value of [tex]x = -\frac{1}{2}[/tex] in the function

[tex]y = 9 (-0.5) ^ 2 + 9 (-0.5) -1\\\\y = -\frac{13}{4}[/tex]

Then the vertex is:

[tex](-\frac{1}{2}, -\frac{13}{4})[/tex]

Therefore The encuacion excrita in the form of vertice is:

[tex]y = a(x +\frac{1}{2}) ^ 2 -\frac{13}{4}[/tex]

To find the coefficient a we substitute a point that belongs to the function [tex]y = 9x^2 + 9x - 1[/tex]

The point (0, -1) belongs to the function. Thus.

[tex]-1 = a(0 + \frac{1}{2}) ^ 2 -\frac{13}{4}[/tex]

[tex]-1 = a(\frac{1}{4}) -\frac{13}{4}\\\\a = \frac{-1 +\frac{13}{4}}{\frac{1}{4}}\\\\a = 9[/tex]

Then the written function in the form of vertice is

[tex]y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}[/tex]

Answer:

The vertex form of a parabolic function has the general formula:

f(x) = a(x-h)^2 + k where (h,k) represent the vertex of the parabola.

Therefore, to write the given equation in vertex form, we will need to transform it to the above formula as follows:

y = 9x^2 + 9x - 1  

y = 9(x^2 + x) - 1

y = 9(x^2 + x + 1/4 - 1/4)-1

y = 9((x+1/2)^2 - 1/4)-1

y = 9(x + 1/2)^2 - 9/4 - 1

y = 9(x + 1/2)^2 - 13/4 ..............> The equation in vertex form

Step-by-step explanation:

Hope this helps!!!  Have a great day!!!    : )

Answer:

5,1 is correct

Step-by-step explanation:

you go over one then up two for G. For H, you go down one and over two.

5,1 because they are both the same distance from F

Answer:

3/4 3/6 5/12

Step-by-step explanation:

the bottom goes from least to greatest

Answer:

2 and 5

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The residual value is -8

A residual value is the difference between the observed y-value and the predicted y-value( from the regression equation ) .

Here, the given regression equation of the line,

y = 5.2 x +18

Thus, for x = 10, the predicted value of

y = (5.2 × 10) +18

y = 52 + 18

y = 70

Now, by the given question,

For x = 10, the observed value of y = 62,

Hence, the residual for 10 = Observed value of y for 10 - Predicted value of y for 10

= 62 - 70

= -8

For more information:https://brainly.com/question/12606018

#SPJ2

Hi, if we are using the quadratic formula to solve this, then here is a good answer.

The solution to the equation 7/3x = 2/(x+5) is found by cross-multiplication and simplifying, ending with the result x = -35.

To solve the given equation 7/3x = 2/(x+5), the first step is to cross-multiply. This gives us 7*(x+5) = 2*3x. Simplifying this results in 7x + 35 = 6x. Subtract 6x from each side and you get x + 35 = 0. And thus, x = -35 is the solution of the equation.

https://brainly.com/question/34151031

#SPJ2

Answer:

[tex]33\ ft[/tex]

Step-by-step explanation:

Let

y-----> the height of the telephone pole

we know that

In the right triangle of the figure

The sine of angle of 67 degrees is equal to divide the opposite side of angle of 67 degrees by the hypotenuse

[tex]sin(67\°)=\frac{y}{36}[/tex]

solve for y

[tex]y=(36)sin(67\°)=33\ ft[/tex]

[tex]\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\[-0.5em] \hrulefill\\ s=14\pi \\ r=12 \end{cases}\implies 14\pi =12\theta \implies \cfrac{14\pi }{12}=\theta \\\\\\ \stackrel{\textit{radians}}{\cfrac{7\pi }{6}}=\theta ~\hspace{10em}\stackrel{\textit{in degrees}}{210^o}[/tex]

Answer:

THe 3rd one

Step-by-step explanation:

Number 3 should be the answer