What is the area of the trapezoid?

project is graded on a scale of 1 to 5. If the random variable, X, is the project grade, what is the mean of the probability dis

Mashutka [201]

The set given by the project grade is {1, 2, 3, 4, 5}. If the random variable, X, is the project grade, the mean of the probability distribution is determined by:

Sum = 1 + 2 + 3 + 4 +5
= 15
Mean of the probability distribution is 15/n, where n = 5
= 15/ 5
= 3

5 0

3 years ago

Which of the following expressions represent the distance between -6 and 7 on the number line?

JulijaS [17]

Answer:

C

Step-by-step explanation:

The lines mean the distance away from 0. When i say lines, I mean the two "l" that accompany the numbers. I forgot what there called (good job me).

Since we want to know how far apart they are, we need to add them.

5 0

2 years ago

Read 2 more answers

a recipe uses 1 1/4 cups of milk to make 10 servings. if the same amount of milk is used for each serving, how many servings can

Anestetic [448]

Answer:

128 servings can be made using 1 gallon of milk.

Step-by-step explanation:

Given that:

$1\frac{1}{4}$ cups of milk make 10 servings

$1\frac{1}{4}$ can also be written as 1.25

Ratio of cups of milk to servings = 1.25 : 10

1 gallon = 16 cups

Let,

x be the number of servings made from 1 gallon

Ratio of cups of milk to servings = 16 : x

This is a direct proportion

1.25 : 10 :: 16 : x

Product of mean = Product of extreme

10*16 = 1.25x

160 = 1.25x

1.25x=160

Dividing both sides by 1.25

$\frac{1.25x}{1.25}=\frac{160}{1.25}\\x=128$

Hence,

128 servings can be made using 1 gallon of milk.

3 0

3 years ago

PLEASE ANSWER ASAP *picture attached*

SVETLANKA909090 [29]

Answer:

$x^{2} -2x-8$

Step-by-step explanation:

(f g)(x) is equal to f(x) times g(x). So you just need to multiply both of the equations together. Use the foil method to multiply (x+2)(x-4)

$(fg)(x)=f(x)*g(x)\\\\(fg)(x)=(x+2)(x-4)\\\\(fg)(x)=x^{2} -4x+2x-8\\\\(fg)(x)=x^{2} -2x-8\\$

I have attached an image to better explain the foil method

4 0

3 years ago

Everett is rolling a block with the numbers 1, 2, 3, 4, 5, and 6 on it. Finley is drawing one disk from a basket of three disks:

ioda

Option A:

The probability that Everett and Finley end up with an even number and a blue disk is $\frac{1}{6}$ .

Solution:

Given data:

Everett is rolling a block with numbers = {1, 2, 3, 4, 5, 6}

Finley is drawing one disk from basket with colors = {blue, red, yellow}

Total number of numbers = 6

Total number of colors = 3

$$\text { Probability }=\frac{\text {Number of possible outcomes}}{\text {Total number of outcomes}}$

$P\text{(Even number)} =\frac{3}{6}$

$P\text{(Blue disk)} =\frac{1}{3}$

$P\text{(Even number and Blue disk)} =\frac{3}{6}\times\frac{1}{3}$

$$=\frac{3}{18}$

Divide numerator and denominator by the common factor 3.

$$=\frac{3\div3}{18\div3}$

$$=\frac{1}{6}$

Option A is the correct answer.

Hence the probability that Everett and Finley end up with an even number and a blue disk is $\frac{1}{6}$ .

3 0

3 years ago