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3 years ago

Kevin is twice as old as Sean. Together their ages add up to 75.

Mathematics

2 answers:

marissa [1.9K]3 years ago

8 0

Answer:

Kevin would be 50 and Sean would be 25

Step-by-step explanation:

Assuming that there is no other information given,

and Kevin is twice as old as sean, and they gotta add up to 75 total

50 + 25 = 75

25x2 = 50

Hope this helped!

Ostrovityanka [42]3 years ago

6 0

Answer:

Kevin is 50 and Sean is 25.

Step-by-step explanation:

Add 25 + 50 = 75

Multiply 25 x 2 = 50

<em>Hope this helps</em>

<em>-Amelia The Unknown</em>

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A salsa recipe uses green pepper, onion, and tomato in the extended ration 1 : 3 : 9. How many cups of onion are needed to make

Elanso [62]

Let x be a variable.

Using the ratio and the given number of 117, we can create the following formula:

1x + 3x + 9x = 117, where 3x is the cups of onion

Simplify this equation.

13x = 117

Divide both sides by 13

x = 9

We want to solve for 3x, so multiply both sides by 3

3x = 27

As I started earlier, 3x is how many cups of onions is needed; thus, 27 is our answer. Hope this helps! :)

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3 years ago

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The manufacturer of a metal stand for home TV sets must be sure that its product will not fail under the weight of the TV. Since

ikadub [295]

Answer:

a) "This is an upper-tail test because the company wants to show the stands will hold 525 pounds (or more) easily."

b) "They will decide the stands are safe when they're not."

c) "They will decide the stands are unsafe when they are in fact safe."

Step-by-step explanation:

a) As the alternative hypothesis Ha is μ>575, the rejection region lays in the upper tail. Then, it is an upper-tail test.

They are testing the claim that the stand supports an average of 575 pounds or more, and are looking for statistical evidence for that claim.

"This is an upper-tail test because the company wants to show the stands will hold 525 pounds (or more) easily."

b) A Type I error happens when a true null hypothesis is rejected.

This would mean that a stands that doesn't really hold 575 pounds or more has passed the test. The stand would appear more safe than it is.

"They will decide the stands are safe when they're not."

c) A Type II error happens when a false null hypothesis failed to be rejected. In this case, a safe stand, that suports 575 pounds or more, does not pass the test.

"They will decide the stands are unsafe when they are in fact safe."

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3 years ago

In a study of the accuracy of fast food drive-through orders, one restaurant had orders that were not accurate among orders obs

Lesechka [4]

Complete Question

In a study of the accuracy of fast food drive-through orders, one restaurant had 32 orders that were not accurate among 367 orders observed. Use a 0.05 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable?

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is sufficient evidence to show that the rate of inaccurate orders is equal to 10%

Step-by-step explanation:

Generally from the question we are told that

The sample size is n = 367

The number of orders that were not accurate is $k = 32$

The population proportion for rate of inaccurate orders is p = 0.10

The null hypothesis is $H_o : p = 0.10$

The alternative hypothesis is $H_a : p \ne 0.10$

Generally the sample proportion is mathematically represented as

$\^ p = \frac{k}{n}$

=> $\^ p = \frac{32}{367}$

=> $\^ p = 0.0872$

Generally the test statistics is mathematically represented as

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

=> $z= \frac{ 0.0872 - 0.10 }{ \sqrt{ \frac{ 0.10 (1 - 0.10 )}{367} } }$

=> $z= -0.8174$

From the z table the area under the normal curve to the left corresponding to -0.8174 is

$P(z < -0.8173 ) = 0.20688$

Generally the p-value is mathematically represented as

$p- value = 2 * 0.20688$

=> $p- value = 0.4138$

From the value obtained we see that $p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is sufficient evidence to show that the rate of inaccurate orders is equal to 10%

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kaheart [24]

Answer:

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Step-by-step explanation:i am too lazy srry

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4 years ago

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