the mean (rounded to the nearest tenth if needed) of the following data set is: 110, 142, 120, 180, 151, 110, 159, 173, 173, 144, 110

A. 142.9

B. 157.2

C. 131

D. 146.8

Answer:

A should be the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:f(2) = g(2)

Answer:

14 or about 43.98 feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's say we wanted to find the LCM of 6 and 8.

First, write the prime factorization of both:

6 = 2×3

8 = 2³

Let's include all the exponents:

6 = 2¹×3¹

8 = 2³×3⁰

The LCM needs to have the prime factors with the highest exponents.  

So we need prime factors of 2 and 3.  The exponent of the 2 will be three, and the exponent of the 3 will be one.

LCM = 2³×3¹

LCM = 24

Answer:

D

Step-by-step explanation:

For a function in the form f(x) = x, we can say:

keeping the 2 rules in mind, we can say that

vertical stretch by a factor of 3 would make it f(x) = 3x

Then

flip over x-axis would make it f(x) = -3x

answer choice D is right

Answer:

D. g(x) = -3x

Step-by-step explanation:

Answer:

Around 80 of the people will go to the party.

Step-by-step explanation:

If you divide 98 by 100, you find out that 1% of 98 is .98. So after that you multiply that by 82, and the answer is 82% of 98.

Answer:

roughly about 82

Step-by-step explanation:

Answer:

a)  60°

b)  60°

Step-by-step explanation:

A regular hexagon can be broken down into 6 equilateral triangles.

*** Note: Attached picture shown.

a)

The angle between two consecutive radii would be taken as EO and OD.

Since all of these 6 angles (of 6 triangles) create a circle, the sum is 360. So each angle (between two radii) would be 360/6 = 60°

b)

To find angle between side and radius of a polygon, let's take the radii as EO and side as ED.

Since we already found the angle between 2 radii to be 60, we have two angle left of a triangle (same size, let's call it x). We know sum of 3 angles in a triangle is 180, thus we can write:

60 + x + x = 180

60 + 2x = 180

2x = 180 - 60

2x = 120

x = 120/2

x = 60°

For this case we have that the area of a regular polygon is given by:

[tex]A = \frac {P * a} {2}[/tex]

Where:

P: It is the perimeter

a: It is the apothem

Since we have a dodecagon, then the perimeter is:

[tex]P = 9 * 12\\P = 108 \ cm ^ 2[/tex]

Then, the area is:

[tex]A = \frac {108 * 16.8} {2}\\A = 907.2 \ cm ^ 2[/tex]

ANswer:

Option B

Answer:The answer is B.

Start with 11.5. Multiply 1.5 by 2. Add this product to 11.5. Then add 3.25 and 6 to the answer.

hope this hepls!!!

Answer:

The conic is parabola, its equation is (y + 5)² = -(x + 1)

Step-by-step explanation:

- The general equation for any conic section is  

Ax² + Bxy + Cy² + Dx + Ey + F = 0  

where A , B , C , D , E and F are constants. A, B, and C are not all zero

- When we change the values of some of the constants, the shape  

of the corresponding conic will also change.  

- It is important to know the differences in the equations to  

identify the type of conic that is represented by a given equation.  

# If B² − 4AC is less than zero, if a conic exists, it will be either a  

circle or an ellipse  

# If B² − 4AC equals zero, if a conic exists, it will be a parabola  

# If B² − 4AC is greater than zero, if a conic exists, it will be a  

hyperbola  

* How to identify the type of the conic

- Rewrite the equation in the general form,  

Ax² + Bxy + Cy² + Dx + Ey + F = 0  

- Identify the values of A and C from the general form.  

- If A and C are nonzero, have the same sign, and are not equal

to each other, then the graph is an ellipse.

- If A and C are equal and nonzero and have the same sign, then

the graph is a circle  

- If A and C are nonzero and have opposite signs, and are not equal

then the graph is a hyperbola.

- If either A or C is zero, then the graph is a parabola

* Now lets solve the problem

- The equation is y² + x + 10y + 26 = 0

 A = 0 , B = 0 , C = 1 , D = 1 , E = 10 and F = 26

∵ A = 0

∴ The equation is a parabola its standard form is:

  (y - k)² = 4 p (x - h), where (h , k) is the vertex point of the parabola,

   with a horizontal axis y = k

- Lets change the standard form to the general form

∵ (y - k)² = 4 p (x - h) ⇒ open the brackets

∴ y² - 2ky + k² = 4px - 4ph

- Put all of them in one side

∴ y² - 4px - 2ky + k² + 4ph = 0

- Compare it with the equation

  y² - 4px - 2ky + k² + 4ph = 0 ⇒ y² + x + 10y + 26 = 0

∵ -4px = 1x ⇒ cancel x

∴ -4p = 1 ⇒ divide both sides by -4

∴ p = -1/4

∵ -2ky = 10y ⇒ cancel y

∴ -2k = 10 ⇒ divide both sides by -2

∴ k = -5

∵ k² + 4ph = 26 ⇒ (-5)² + 4(-1/4)h = 26 ⇒ simplify

∴ 25 - h = 26 ⇒ subtract 25 from both sides

∴ h = -1

- Now we can write the standard form of the equation

∴ (y - -5)² = 4(-1/4)(x - -1)

∴ (y + 5)² = -(x + 1)

The correct answer is D) a+2b.

Hope it helps!

Answer:

a + 2b

Step-by-step explanation:

To find the equivalent of the given expression, we must open up the parenthesis by multiplying each element in the parenthesis by 2, we would then collect like terms and simplify the algebraic expression.

2(a + 2b) - a - 2b

= 2a + 4b - a - 2b

= 2a - a + 4b  - 2b

= a + 2b

Answer:

20 cups of onion

Step-by-step explanation:

If your ratio of pepper:onion:tomato is 2:5:8, add up those numbers to get 15.  Onion exists in this ratio as 5cups onion/15cups salsa.  We need to know how much onion in 60cups.  Set up the proportion like this:

[tex]\frac{5}{15}=\frac{x}{60}[/tex]

Cross multiply to get 15x = 300 and x = 20.  If you do the same with the other ingredients, you'll add them together in the end to get a total of 60 cups.

Answer:

-6r+6

Step-by-step explanation:

8-(6r+2)

8-6r-2

-6r+6

Answer:

-6r +6.

Step-by-step explanation:

Given : 8 - (6r+2) .

To find : Which expression is equivalent .

Solution : We have given 8 - (6r+2) .

Remove the parenthesis

8 - 6r -2.

Combine like terms

-6r +8 -2.

-6r +6.

Therefore, -6r +6.

Answer:

B. 6 inches

Step-by-step explanation:

We know that the lenght of AB is 12 inches. Given that any two point that passes through the center P equals to the diameter, we know that AP is going to be half of diameter.

So, if AB = 12, then P = AB/2 = 6 inches.

The second one because if you put a mirror image there it would the should look the same

In the second option if you put a mirror image there it would look the same. So, the second one is the correct answer.

A reflection is a phenomenon of change in a direction of the wavefront between two different mediums.

Here, we can see that the first option doesn't show reflection because the music lines are displaced.

In the second option if you put a mirror image there it would look the same.

In the third option, again it doesn't show reflection because the music lines are not the same.

Thus, the second option is the correct answer.

Learn more about reflection here;

https://brainly.com/question/183501

It is B. and i would answer it!!!!!!

HOPE THIS HELP!!!!!! :)

Answer with Step-by-step explanation:

We are given a data set:

0.24  0.42  0.37  0.38  0.24

We arrange them in ascending order:

0.24 0.24 0.37 0.38 0.42

Mean=sum of all data elements/number of elements

Mean =(0.24+0.24+0.37+0.38+0.42)/5

Mean=0.33

Mode is the element with the highest frequency i.e. element which comes most.

Hence, Mode=0.24

Median is the middle element of the data set.

Median=0.37

Hence, correct option is:

c.

mean: 0.33, median: 0.37, mode: 0.24

Hence, best answer from the choices provided is:

C

Answer:

c

Step-by-step explanation:

Check the picture below.

make sure your calculator is in Degree mode.

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

The measurement of the angle is 22.02 degrees.

A bike ramp is 8 feet long and has an end height of 3 feet.

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

The measure of the angle is determined by the following formula;

[tex]\rm Sin\theta = \dfrac{opposite \ side}{Hypotenuse}[/tex]

Where the opposite side is 3 and the hypotenuse is 8.

Substitute all the values in the formula;

[tex]\rm Sin\theta = \dfrac{opposite \ side}{Hypotenuse}\\\\\rm Sin\theta = \dfrac{3}{8}\\\\\theta = sin{-1} \left ( \dfrac{3}{8} \right )\\\\\theta = 22.02 \ degrees[/tex]

Hence, the measurement of the angle is 22.02 degrees.

To know more about Angle click the link given below.

https://brainly.com/question/18762692

Answer:

723.36

Step-by-step explanation:

I calculated it to be roughly 723.36 hope this helps

Answer:

1 : 4

Step-by-step explanation:

Given 2 similar figures, then

linear ratio = a : b and

area ratio = a² : b²

here the area ratio = 24 : 384 = 1 : 16, hence

linear ratio = [tex]\sqrt{1}[/tex] : [tex]\sqrt{16}[/tex] = 1 : 4

It will take approximately 14.2 years for the money to triple in the savings account.

Step 1: Set up the formula and define variables

We know the initial amount (P) is $600, and we want the final amount (A) to be triple the initial amount, which is 3 * $600 = $1800. The interest rate (r) is 4.8% (converted to decimal: 0.048) and we want to find the time (t) in years.

We'll use the compound interest formula continuously compounded: A = Pe^rt.

Step 2: Solve for time (t)

We can rewrite the formula to solve for t: t = ln(A/P) / r

Plug in the known values:

t = ln($1800 / $600) / 0.048

Step 3: Solve and round

Calculate the result using a calculator and round to the nearest tenth of a year.

t ≈ 14.2 years

Answer:

10 + 2.50x

Step-by-step explanation:

What helps is solving word problems without any numbers.

If we wanted the cost of the total we would have:

Admission Cost + Ride Ticket Cost = Total Cost

We use "x" to represent how many ride tickets there is.

Answer:

$79.94=4x+$5.98 or you could write it the other way 4x+$5.98=$79.94 either way you get same answer

Step-by-step explanation:

Answer:

If this helps, the equation to solve for the volume of a prism is V=Bh.

Step-by-step explanation:

B is the base and h is the height. You have to multiply them to find the volume. Hope this helps.

Volume of the prism = area of the triangle x the thickens the triangles make;

V= {[(9/4)x (10/3)]/2} x (22/3)= (90/12) x(1/2) x(22/3)= 90x22/12x2x3=

30x11/12=330/12= 27 1/2

Answer:

  $18,925.99

Step-by-step explanation:

The sum of n=16 terms of the geometric series with first term a1=800 and common ratio r=1.05 will be ...

  Sn = a1·(r^n -1)/(r -1)

  S16 = $800·(1.05^16 -1)/(1.05 -1) ≈ $18,925.99

Answer: they have saved $18925.99 for his 16th birthday.

Step-by-step explanation:

We know that they save $800 per year, and in each year after the first, they add a 5% extra (0.05 in decimal form).

then, the first year the amount is $800.

the second year, they add $800 + 0.05*$800 = $800*1.05

the third year, they add: $800*1.05 + 0.05*$800*1.05 = $800*(1.05)^2

Now is easy to see that the relation is:

C(n)= $800*(1.05)^(n)

where n goes from 0 to 15, and represents the 16 years in which the parents are saving money.

now, we know that for a geometric series we have:

∑a*r^n = a*( 1 + r^N)/(1 + r)

where the sumation goes from 0 to N -1.

in our case, N - 1 = 15, so N = 16. a = $800 and r = 1.05

then the total of money is;

T = $800*(1 - 1.05^16)/( 1 - 1.05) = $18925.99

Answer:

1440

Step-by-step explanation:

Answer:

The range is defined as the difference between the term with the highest value and the term with the lowest value. This statistic is used to measure the variability of a series of data because it provides information on how far apart the values of a tail of the distribution are from the values at the other end of the tail.

Imagine that you manufacture a type of spare part for cars that must have a measurement of 10 cm with a margin of error of 1 cm.

This is:

10 ± 1 cm

Then you expect your manufacturing process to produce pieces with identical dimensions, that is, with little variability.

If you randomly select a sample of n pieces and measure them, the variability is expected to be low, so that your process is of quality, then expect a low range preferably less than 1 cm.

{10, 10.1, 10.5, 9.8, 9,6, 10.2} Range= 10.5 - 9.6 = 0.9 cm low variability

But if you find that the range is up to 8 cm, this would mean that not all pieces measure around 10 cm, it means that the variability of the measurements is high.

{14, 12, 11, 8, 7, 11, 12, 15} Range = 15 - 7 = 8 cm   high variability

The range can help describe a data set by evaluating the whole of a data set, showing spread within a data set, and comparing the spread between similar data sets. Simply put, it is the amount of variation from the lowest number to the highest and indicates the size of the statistical dispersion.

100% on Edge, used Google to come up with the answer.

Answer:

The minimum number of paintings Monica needs to sell is 4 to reach her goal.

Step-by-step explanation:

Let

p-----> the number of paintings that Monica needs to sell

we know that

[tex]140+15p\geq 200[/tex]

Solve for p

Subtract 140 both sides

[tex]15p\geq 200-140[/tex]

[tex]15p\geq 60[/tex]

Divide by 15 both sides

[tex]p\geq 60/15[/tex]

[tex]p\geq 4\ painting[/tex]

The minimum number of paintings Monica needs to sell is 4 to reach her goal.

Answer:

So 2 and 4

Step-by-step explanation:

The difference between a pyramid and prism is that a prism has two bases. A pyramid only has one base. The sides of the pyramid will always be triangular in shape.

The prism has two parallel bases and the pyramid has only one base. Then the correct option is B.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A prism is a closed solid that has two parallel bases connected by a rectangle surface.

The difference between the prism and pyramid will be

The prism has two parallel bases and the pyramid has only one base.

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

Answer: Option C

[tex]f(x) = x^2;\ k (x) = x ^ 2 -7[/tex]

Step-by-step explanation:

Whenever we have a main function f(x) and we want to transform the graph of f(x) by moving it vertically then we apply the transformation:

[tex]k (x) = f (x) + b[/tex]

If [tex]b> 0[/tex] then the graph of k(x) will be the graph of f(x) displaced vertically b units down.

If [tex]b> 0[/tex] then the graph of k(x) will be the graph of f(x) displaced vertically b units upwards.

In this case we have

[tex]f (x) = x ^ 2[/tex]

We know that this function has its vertex in point (0,0).

Then, to move its vertex 7 units down we apply the transformation:

[tex]k (x) = f (x) - 7\\\\k (x) = x ^ 2 -7[/tex].

Then the function k(x) that will have its vertex 7 units below f(x) is

[tex]k (x) = x ^ 2 -7[/tex]

Answer:

54.1%

Step-by-step explanation:

From the table, the total number of patients with type-B blood is given as 183. On the other hand, the number of males with type-B blood is given as 99. The percentage of patients with type-B blood who are males can be calculated as;

(the number of males with type-B blood/the total number of patients with type-B blood) * 100%;

( 99/183) * 100 = 54.1%

Therefore, the percentage of patients with type-B blood who are males is 54.1