Sierra Ridge Middle School is getting a new lunchroom. Robert is surveying a random
selection of students to find out what new features they'd like to add. The table below shows
how many students surveyed have ranked each feature as their first choice. Robert wants to
survey at least 50 more students.
Lunchroom feature Number of students
sound system
10
water cooler
7
painted mural
4
bulletin boards
5
Based on the data, estimate how many of the next 50 students surveyed will rank a water
cooler as their first choice of additions to the lunchroom.
If necessary, round your answer to the nearest whole number.
students

3/4 is the total.

See attached image for explanation.

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Thanks <3

Check the picture below.

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Explanation:

Add -3 to each term to get the next term. This is the same as subtracting 3 from each term. In this case, the common difference is d = -3.

The first term is a = 20

---------

The nth term formula for the arithmetic sequence is

a(n) = a+d(n-1)

a(n) = 20+(-3)(n-1)

a(n) = 20-3n+3

a(n) = -3n+23

If we plug in n = 1, we would get a(n) = 20. Plug in n = 2 to get a(n) = 17. And so on. This helps confirm we have the correct nth term formula.

Answer: 5 inches

Step-by-step explanation:

The volume of a cylinder is equal to pi*radius^2*height.

We can replace the height with 12 inches and the volume with 942 cubic inches.

Therefore, 942 in^3 = pi*radius^2*12 inches

We can divide both sides by 12:

pi*radius^2 = 78.5 inches^2

We can divide both sides by pi:

Radius^2 = About 24.99 inches^2

We can square both sides:

Radius approximately equals 5 inches.

Answer:

$2.08 per battery

Step-by-step explanation:

Answer:

The probability of observing a sample mean of x = 52 or greater from a sample size of 25 is 0.0000026

Step-by-step explanation:

Mean = [tex]\mu = 45[/tex]

Population standard deviation =[tex]\sigma = 6[/tex]

Sample size = n =25

Sample mean = [tex]\bar{x} = 52[/tex]

We are supposed to find  the probability of observing a sample mean of x = 52 or greater from a sample size of 25 i.e.[tex]P(x\geq 52)[/tex]

[tex]Z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}\\Z=\frac{52-45}{\frac{6}{\sqrt{25}}}[/tex]

Z=5.83

P(Z<52)=0.9999974

[tex]P(Z\geq 52)=1-P(z<52)=1-0.9999974=0.0000026[/tex]

Hence  the probability of observing a sample mean of x = 52 or greater from a sample size of 25 is 0.0000026

Answer:

the probability of observing a sample mean of x = 52 or greater from a sample size of 25 is 0.0000026

Step-by-step explanation:

Answer:

2b) KOM = 143°

c) as the value of a straight line is 180°, and the angle LOK is 37°, subtract 180° with 37° and you will get the value for KOM.

Step-by-step explanation:

2b) subtract 180° with 37°

c) it is just using logical and mathematical sense from the question 2b

Answer:

-2

Step-by-step explanation:

-5  -4  -3  -2  -1  0  1  2 3  4  5

Answer:20

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Given :

Population of country in 2006 , P = 300 million.

Consumption of fruit juice in 2006 by while population, C = 1.85 billion.

To Find :

The average number of gallons of fruit juice consumed per person in the country in​ 2006.

Solution :

We know, 1 billion = 1000 million.

C = 1.85 billion = 1850 million.

Now, average umber of gallons of fruit juice consumed per person in the country in​ 2006 is :

[tex]c =\dfrac{C}{P}\\\\c=\dfrac{1850}{300}\ gallons/person\\\\c=6.17 \ gallons/person[/tex]

Hence, this is the required solution.

The probability that you will first choose a red marble followed by a green marble is 20%.

Given that a bag contains 1 blue, 2 green, and 2 red marbles, and you choose a marble with one hand and then a second marble with the other hand, to determine what is the probability that you will first choose a red marble followed by to green marble the following calculation must be made:

Therefore, the probability that you will first choose a red marble followed by a green marble is 20%.

Learn more about probability in https://brainly.com/question/26677483

The probability of choosing a red marble is 2/5 while the probability of choosing a green marble after a red marble is 1/2

Data;

To solve this problem, we have to do probability without replacement.

The total number of marbles in the bag is

[tex]1 + 2 + 2 = 5[/tex]

The probability of choosing a red marble is

Number of read marbles = 2

probability of choosing a red marble is

[tex]P = \frac{2}{5}[/tex]

The probability of choosing a green marble after a red marble is

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

The probability of choosing a red marble is 2/5 while the probability of choosing a green marble after a red marble is 1/2

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Answer:

Dos veces más. Ejemplo: 4 es el doble de 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

We have similar triangles:

Find segment BC using similarity and ratios:

Find EC using Pythagorean:

Correct choice is C

Answer:

is one

Step-by-step explanation:

did it on test so pog got it right

Answer:

2 for simplify part

Step-by-step explanation:

on edge

Answer:

a is the answer

Step-by-step explanation:

x^2= 90

X=√90

X=3√10 (positive irrational number)

but other solutions have exact value or in decimal

Answer:

235.5

Step-by-step explanation:

3.14x2.5^2x12

3.14x6.25x12

19.625x12

235.5

Answer :

⠀

Explanation :

We know,

[tex]{ \longrightarrow \qquad{\boldsymbol {\pmb{ Volume_{(cylinder)} = \pi {r}^{2} h \: }}}}[/tex]

Where,

⠀

Substituting the values in the formula :

[tex]{ \longrightarrow \qquad{ { \sf{ Volume_{(cylinder)} = 3.14 \times ({2.5})^{2} \times 12 \: }}}}[/tex]

⠀

[tex]{ \longrightarrow \qquad{ { \sf{ Volume_{(cylinder)} = 3.14 \times 6.25 \times 12 \: }}}}[/tex]

⠀

[tex]{ \longrightarrow \qquad{ { \sf{ Volume_{(cylinder)} = 3.14 \times 75 \: }}}}[/tex]

⠀

[tex]{ \longrightarrow \qquad{ \boldsymbol { \pmb{ Volume_{(cylinder)} = 235.5 \: }}}}[/tex]

⠀

Therefore,

Answer:

D. is the answer

Step-by-step explanation:

1.5 × 8 = 12

Answer:

B

Step-by-step explanation:

first convert 12ft ti inch, i.e 1ft is 12in,

so 12ft is 144in, common ratio is 8, i.e 8in to 144in,

so, its 1in to 18in.

Answer:

30 km

Step-by-step explanation:

because 5km x 6hrs = 30 km sorry if i'm wrong that's just how my brain works.

Answer:

30

Step-by-step explanation:

5x6=30

it says 5 per hour so 5x6

Answer:

3/8 = 0

4/9= 0

Step-by-step explanation:

The quotient is 0 because the numerator is less than the denominator.

Answer:

27/32 is the answer

Step-by-step explanation:

Did the math, did the recipicol of 4/9 then multiplied.

Answer:

Step-by-step explanation:

interior angle =(n-2)180

=(4-2)*180

=360

360=164+71+24+x

360=260+x

x=360-260

x=100

Answer:

Step-by-step explanation:

Since angles in quadrilateral (4-sided shape) add up to 360 degrees

therefore,

360 = 164 + 71 + 25 + x

360 = 260 + x

subtract 260 from both sides

360-260 = 260-260 + x

100 = x

Answer:

1200000000000

Step-by-step explanation:

multiply them together

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Adding the score of each round, Connor's current score is of -11 points.

To find the sum of two negative numbers, we keep the signal and add numbers.

For each round, Connor's scores are given as follows:

The combined score is the sum of each score, hence:

C = -5 + (-6) = -5 - 6 = -(5 + 6) = -11.

Connor's current score is of -11 points.

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Answer:

It's Arrives

Step-by-step explanation:

The solution is, $210 does he have to spend after paying his bills.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

given that,

Drake’s monthly outlay include a $70 phone bill and a $120 car assuming he makes $400 a month,

i.e. we get,

Drake’s monthly outlay include a $70 phone bill and a $120 car.

so, total spend = $ 120 + 70

                         = $190

now, we have to find how much does he have to spend after paying his bills.

so, we have to subtract 190 from 400

i.e. 400 - 190

=210

Hence, $210 does he have to spend after paying his bills.

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Answer:

✓50 km

Step-by-step explanation:

Here, Area of parallelogram = base x height

so, at least two data should be given,

hence, let us consider base = height in this case.

Here it becomes,

Area of parallelogram = base²

50 km² = base²

Now, providing square root on both sides,

we get,

✓50 km = base

a) Probability of getting a medium shirt for the player ≈ 0.0385

b) Probability of getting a medium shirt for the player's sister ≈ 0.0385

c) Probability of getting a medium shirt for both the player and his sister ≈ 0.00148225

d) Probability of getting either a medium, large, or extra-large shirt ≈ 0.0385.

Here, we have,

To find the probability of each event, we first need to determine the total number of shirts in the box and the number of shirts that satisfy each event.

a) Probability of getting a medium shirt for the player:

Total number of medium shirts = 6

Number of medium shirts needed for the player = 1

Probability = (Number of medium shirts needed) / (Total number of shirts) = 1 / (6 + 10 + 10) = 1 / 26 ≈ 0.0385

b) Probability of getting a medium shirt for the player's sister:

Total number of medium shirts = 6

Number of medium shirts needed for the player's sister = 1

Probability = (Number of medium shirts needed) / (Total number of shirts) = 1 / (6 + 10 + 10) = 1 / 26 ≈ 0.0385

c) Probability of getting a medium shirt for both the player and his sister:

Since the two events are independent (one person getting a medium shirt does not affect the other's chance of getting a medium shirt), we can multiply the probabilities of each event:

Probability = Probability of player getting a medium shirt * Probability of player's sister getting a medium shirt ≈ 0.0385 * 0.0385 ≈ 0.00148225

d) Probability of getting either a medium, large, or extra-large shirt:

Total number of medium, large, and extra-large shirts = 6 + 10 + 10 = 26

Number of shirts needed = 1 (for the player or his sister)

Probability = (Number of shirts needed) / (Total number of shirts) = 1 / 26 ≈ 0.0385

To summarize:

a) Probability of getting a medium shirt for the player ≈ 0.0385

b) Probability of getting a medium shirt for the player's sister ≈ 0.0385

c) Probability of getting a medium shirt for both the player and his sister ≈ 0.00148225

d) Probability of getting either a medium, large, or extra-large shirt ≈ 0.0385.

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Answer:

y = 2x + 8

Step-by-step explanation:

the equation of a line in slope-intercept form is.

y = mx+b

where m is the slope and b the y-intercept

to calculate m use the gradient formula

m = (y2−y1 ) / (x2−x1)

let (x1,y1)=(-6,-4) and (x2,y2)=(-4,0)

m = (0 - (-4)) / (-4 - (-6) = 2

y = 2x+b←is the partial equation

to find b substitute either of the 2 given points

into the partial equation

using (-6, -4) then

-4 = -12+b⇒b=8

y = 2x + 8←is the equation of line

Answer:

0.9 in the context represent the price of the ginger

It is called decreasing factor for the function because it decreases the price of the ginger

Step-by-step explanation:

Original price of fresh ginger ale = G

Coupon = 10% off

The actual price paid = 100% - 10% of G

= 90% of G

= 90/100 × G

= 0.9 × G

= 0.9G

0.9 in the context represent the price of the ginger

It is called decreasing factor for the function because it decreases the price of the ginger

Answer:

The percent, as a decimal, of the original price that Ray paysStep-by-step explanation:

thats straight from khan academy

Answer:

a , b

Step-by-step explanation:

ans this are the variables