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Andre45 [30]
3 years ago
7

If you have sea water, you can make salt. What is the contrapositive of this statement?

Mathematics
1 answer:
gulaghasi [49]3 years ago
5 0
Contrapositive. Switching the hypothesis and conclusion of a conditional statement and negating both. For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."
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Lifetime of $1 Bills The average lifetime of circulated $1 bills is 18 months. A researcher believes that the average lifetime i
OLEGan [10]
<h2>Answer with explanation:</h2>

Let \mu be the population mean lifetime of circulated $1 bills.

By considering the given information , we have :-

H_0:\mu=18\\\\H_a:\mu\neq18

Since the alternative hypotheses is two tailed so the test is a two tailed test.

We assume that the lifetime of circulated $1 bills is normally distributed.

Given : Sample size :  n=50 , which is greater than 30 .

It means the sample is large so we use z-test.

Sample mean : \overline{x}=18.8

Standard deviation : \sigma=2.8

Test statistic for population mean :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

\Rightarrow\ z=\dfrac{18.8-18}{\dfrac{2.8}{\sqrt{50}}}\approx2.02

The p-value= 2P(z>2.02)=0.0433834

Since the p-value (0.0433834) is greater than the significance level (0.02) , so we do not reject the null hypothesis.

Hence, we conclude that we do not have enough evidence to support the alternative hypothesis that the average lifetime of a circulated $1 bill differs from 18 months.

6 0
3 years ago
What is the measure of each angle in the Summer Triangle
bogdanovich [222]

Answer:

IDk

Step-by-step explanation:

I have no idea

7 0
3 years ago
Classify the following triangles check all that apply
Rudiy27

Answer:

A. Scalene since all sides have different lengths

E. Right since it has a right angle

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Which expression is equivalent to 1/2x+(−7)−2 1/4x−(−2)?
aleksley [76]

Answer:

A

Step-by-step explanation:

because A is the correct anwer

3 0
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Mr. Sanchez earned a salary of $49,375 last year. He expects to earn 11% more this year. Which is closest to the salary Mr. Sanc
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49,375*0.11 = 5,431.25 , then add the original salary which is 49,375 and the answer is $54,806.25
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