Answer:
Step-by-step explanation:
Given that:
Population Mean = 7.1
sample size = 24
Sample mean = 7.3
Standard deviation = 1.0
Level of significance = 0.025
The null hypothesis:

The alternative hypothesis:

This test is right-tailed.

Rejection region: at ∝ = 0.025 and df of 23, the critical value of the right-tailed test 
The test statistics can be computed as:



t = 0.980
Decision rule:
Since the calculated value of t is lesser than, i.e t = 0.980 <
, then we do not reject the null hypothesis.
Conclusion:
We conclude that there is insufficient evidence to claim that the population mean is greater than 7.1 at 0.025 level of significance.
The degree and direction of rotation that takes ΔQRS to ΔQ'R'S' is:
45 degrees; anticlockwise direction.
<h3>What is rotation in math?</h3>
The transformation by rotation refers to the movement of a shape or point in a circular path about a fixed point.
When the shape moves in an anticlockwise direction, it means that It is going in the opposite way as the hands of a clock do.
Learn more about rotation in math:
brainly.com/question/26249005
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Answer:
His error is multiplying by 4 sides as he thought it was total surface not lateral surface area- the final answer is 12
Step-by-step explanation:
He should have multiplied it by 3, because the 3 sides- not including the base- is what lateral surface area is. He originally did total surface area not lateral surface area so each sides area is 4m squared then you just multiply it by 3 and its 12
Answer:
590
Step-by-step explanation:
To the ten that is nearest to 593
The number is 125 and the equation is 0.8x = 100
Step-by-step explanation:
80% of x is equal to 100.
Write an equation that shows the relationship of 80%, x, and 100
80% = 0.8
0.8x = 100
x = 100/0.8
x = 125
The number is 125 and the equation is 0.8x = 100