A cube has side length a. The side lengths are decreased to 40% of their original size. Write an expression in simplest form for
1 answer:
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Answer:
The test statistic is z=2.5.
The null hypothesis is rejected.
There is enough evidence to support the claim that more than 10% of the 16 ounce cups are underfilled.
Step-by-step explanation:
This is a hypothesis test for a proportion.
The claim is that more than 10% of the 16 ounce cups are underfilled.
Then, the null and alternative hypothesis are:
The significance level is assumed to be 0.05.
The sample has a size n=100.
The sample proportion is p=0.18.
The standard error of the proportion is:
Then, we can calculate the z-statistic as:
This test is a right-tailed test, so the P-value for this test is calculated as:
As the P-value (0.006) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that more than 10% of the 16 ounce cups are underfilled.
Answer:
Both legs would be 20
Step-by-step explanation:
In the image below, it shows the relationship between the legs and the hypotenuse in every 45 45 90 triangle. If we know that the hypotenuse is 20, then the 2 legs are both 20.
I am slightly confused with the problem since they asked for the "short" leg and the "long" leg. Both legs should be the same length because a 45 45 90 triangle is isosceles, with the two legs being the same length.
