Please help all these questions on the volume of a sphere

- Previous 11.1.3 Quiz: The Pythagorean Theorem A WXY is a right triangle. √36 √18 W √18 O A. True O B. False ← PREVIOUS sta De

meriva

Since (√36)² = (√18)²+(√18)², hence the triangle WXY is a right angle

<h3>What is Pythagoras theorem</h3>

The theorem states that the square of the hypotenuse is equal to the sum of the square of other two sides

For a triangle to be right angled, it must obey the law.

Given

Hypotenuse =√36

Other sides = √18 and √18

(√36)² = 36

(√18)²+(√18)²= 18 + 18

(√18)²+(√18)² = 36

Since (√36)² = (√18)²+(√18)², hence the triangle WXY is a right angle

Learn more on Pythagoras theorem here: brainly.com/question/343682

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7 0

1 year ago

The cost of a 4 pack of apple juice is $ 2.24. Write an equation that relates the cost in dollars, y, to the number of apple jui

julia-pushkina [17]

Answer:

Cost = y/x

Step-by-step explanation:

The cost of a 4 pack of apple juice is $ 2.24.

We need to write an equation that relates the cost in dollars, y, to the number of apple juice cartons, x.

As 4 packs = $2.24

1 pack = 0.56

So, the equation can be :

Cost = y/x

7 0

2 years ago

Simplify √24<br><br> A 3√8<br><br> B 2√12<br><br> C 2√6<br><br> D 4√6

umka2103 [35]

√24=√4×6=2√6
c)2√6
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5 0

3 years ago

A photographer offers a photo shoot for a $85 flat fee. Customers may purchase prints for $5 per sheet. How many sheets can a cu

professor190 [17]

To find the answer you must first make the equation which is

(5x)+85=150

subtract 85 from 150

(5x)=65

now divide 65 by 5

resulting in the answer

X=13

To check this

(5 x 13)+85=160

(5x)+85≤150

4 0

3 years ago

Company A makes a large shipment to Company B. Company B can reject the shipment if they can conclude that the proportion of def

boyakko [2]

Answer:

$z=\frac{0.1475-0.1}{\sqrt{\frac{0.1(1-0.1)}{400}}}=3.17$

The p value for this case would be given by:

$p_v =P(z>3.17)=0.00076$

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 0.1 and then Company B can reject the shipment

Step-by-step explanation:

Information provided

n=400 represent the random sample taken

X=59 represent number of defectives from the company B

$\hat p=\frac{59}{400}=0.1475$ estimated proportion of defectives from the company B

$p_o=0.1$ is the value to verify

$\alpha=0.05$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to verify if the true proportion of defectives is higher than 0.1 then the system of hypothesis are.:

Null hypothesis: $p \leq 0.1$

Alternative hypothesis: $p > 0.1$

The statistic would be given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info given we got:

$z=\frac{0.1475-0.1}{\sqrt{\frac{0.1(1-0.1)}{400}}}=3.17$

The p value for this case would be given by:

$p_v =P(z>3.17)=0.00076$

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 0.1 and then Company B can reject the shipment

8 0

3 years ago