What is the value of the variable that makes the statement true?

Andrew owns 3 fewer DVDs than Paul. Let K represent number of Paul's DVDs. Write the expression that can be used to find the num

Julli [10]

K-3 should be the answer because andrew has 3 less than Paul.

5 0

3 years ago

Makeeya only has $25 to spend on a custom T-shirt. It costs $10 for a plain T-shirt, and there is a charge of $$1.50 for each sq

kodGreya [7K]

Answer:

10 square inches

Step-by-step explanation:

cost of a plain t-shirt = $10

cost of 1 square inch of design addition = $1.50

let there be x square inches of design

then cost of x square inches of design = x*cost of 1 square inch of design

= 1.50*x = 1.5x

Total cost for t-shirt with x square inches of design = cost of a plain t-shirt + cost of x square inches of design = 10 + 1.5 x

It is given that Makeeya has only $25, then total cost which can be afforded by him will be $25 only

Thus,

10 + 1.5 x = 25

=> 1.5x = 25-10 = 15

=> x = 15/1.5 = 10

Thus, Makeeya can put 10 square inches of design on her T-shirt.

4 0

3 years ago

Find the value of x

DiKsa [7]

Answer:

a)5/x+1/4=6

Step-by-step explanation:

6 0

3 years ago

Carlton and Leon are expert bowlers. Seventy percent of Carlton's rolls are strikes, while 67% of Leon's rolls are strikes. Supp

IgorC [24]

Answer:

The probability that Leon strikes is greater than Carlton strike is 0.40905

Step-by-step explanation:

From the question, we have;

The percentage of Carlton's rolls are strikes, $\hat p_1$ = 70%

The number of games Carlton played, n₁ = 25

The percentage of Leon's rolls that are strikes, $\hat p_2$ = 67%

The number of games Leon played, n₂ = 25

Therefore, we have;

$\hat p=\dfrac{k_1 + k_2}{n_1 + n_2}$

Where;

k₁ = 0.7 × 25 = 17.5

k₂ = 0.67 × 25 = 16.75

$\therefore \hat p=\dfrac{17.5 + 16.75}{25 + 25} = 0.685$

The test statistic is given as follows;

$Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p})\cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}$

$Z=\dfrac{0.7-0.67}{\sqrt{0.685 \cdot (1-0.685)\cdot \left (\dfrac{1}{25}+\dfrac{1}{25} \right )}} \approx 0.2283$

From the z-table, we have;

The p-value for Carlton strikes is greater than Leon's strike = 0.59095

∴ The p-value for Leon strikes is greater than Carlton strike = 1 - 0.59095 = 0.40905

The probability that Leon strikes is greater than Carlton strike = 0.40905

8 0

3 years ago

A cylinder has a radius of 5 feet and a height of 8 feet. Which of the following can be used to calculate the volume of a cone t

Cloud [144]

The formula is pi*r^2*h/3
your answer would have to be B

7 0

3 years ago