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3 years ago

13

Barak spent $20 at the Arcade This represents 10% of the money he earned working at the pizza parlor last week. How much money d

id he make at the pizza parlor last week?

2 answers:

AleksandrR [38]3 years ago

8 0

$200. since $20 is 10% then $40 would be 20% etc.

iragen [17]3 years ago

3 0

He made 200 dollars at the pizza parlor

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The probability distribution of the amount of memory X (GB) in a purchased flash drive is given below. x 1 2 4 8 16 p(x) .05 .10

Rama09 [41]

Answer:

a) $E(X) = 6.45$

b) $E(X^{2} )= 57.25$

c) $V(X) = 15.648$

d) E(3X + 2) = 21.35

e) $E(3X^{2} +2) = 173.75$

f) V(3X+2) = 140.832

g) E(X+1) = 7.45

h) V(X+1) = 15.648

Step-by-step explanation:

a) $E(X) = \sum xP(x)$

$E(X) = (1*0.05) + (2*0.10) + (4*0.35) + (8*0.40) + (16*0.10)\\E(X) = 6.45$

b)

$E(X^{2} ) = (1^{2} *0.05) + (2^{2} *0.10) + (4^{2} *0.35) + (8^{2} *0.40) + (16^{2} *0.10)\\ E(X^{2} )= 57.25$

c)

$V(X) = E(X^{2} ) - (E(X))^{2} \\V(X) = 57.25 - 6.45^{2} \\V(X) = 15.648$

d)

$E(3X+2) = 3E(X) + 2\\E(3X+2) = (3*6.45) + 2 \\E(3X+2) = 21.35$

e)

$E(3X^{2} +2) = 3E(X^{2} ) + 2\\E(3X^{2} +2) = (3*57.25) + 2 \\E(3X^{2} +2) = 173.75$

f)

$V(3X+2) = 3^{2} V(X)\\V(3X+2) = 9*15.648\\V(3X+2) = 140.832$

g)

$E(X+1) = E(X) + 1\\E(X+1) = 6.45 + 1\\E(X+1) =7.45$

h)

$V(X+1) = 1^{2} V(X)\\V(X+1) = 15.648$

6 0

3 years ago

Please write answers to the questions that are in the image.

marishachu [46]

Answer:

To find part A you need to find common denominator.

1/3 + 3/5=

5/15 + 9/15= 14/15

His mistake for a is that he didn't find the common denominator and that he just added the fraction as it is. So the corrected version would be 14/15.

To find part B you also need to find the least common denominator.

11/12-5/6=

11/12-10/12=1/12

His mistake was that he didn't find the least common denominator and he subtracted the fraction as it is. The answer corrected would be 1/12.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Two years ago, Sally had 5,000 dogs in her dog shelter. Now she has 24,575 dogs. What is the

vodomira [7]

Two years ago, Sally had 5,000 dogs in her dog shelter. Now she has 24,575 dogs. The rate of change is 391.5 % increase

<em><u>Solution:</u></em>

Given that Two years ago, Sally had 5,000 dogs in her dog shelter

Now she has 24,575 dogs

To find: rate of change

A rate of change is a rate that describes how one quantity changes in relation to another quantity

<h3><u>Steps to follow:</u></h3>

First: work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number.

Then: divide the increase by the original number and multiply the answer by 100.

% change = Increase ÷ Original Number x 100

$\text {rate of change }=\frac{\text { new value }-\text {original value}}{\text {original value}} \times 100$

$\begin{array}{l}{\text { rate of change }=\frac{24,575-5000}{5000} \times 100} \\\\ {\text { rate of change }=\frac{19575}{5000} \times 100=391.5}\end{array}$

Thus the rate of change is 391.5 % increase

5 0

3 years ago

Solve the equation and enter the value of x below. x(8 + 9) = 34

vodomira [7]

$\huge\boxed{\mathfrak{Answer}}$

$x(8 + 9) = 34 \\ 8x + 9x = 34 \\ 17x = 34 \\ x = \frac{34}{17} \\ x = 2$

=> The answer is <u>2</u><u>.</u>

5 0

2 years ago

Solve the system by the elimination method. -2x + y + 6 = 0 2x + y - 8 = 0 When you eliminate x, what is the resulting equation?

Natali5045456 [20]

For this case we have the following system of two equations with two unknowns:

$-2x + y + 6 = 0\\2x + y-8 = 0$

Adding both equations we have to eliminate the variable "x":

$y + y + 6-8 = 0$

Adding common terms, keeping in mind that different signs are subtracted and the sign of the major is placed:

$2y-2 = 0\\2y = 2$

Answer:

$2y = 2$

Option A

5 0

3 years ago