Answer:
Step-by-step explanation:
If we have a pizza that has slices and we want to split it between 4 friends, then each friend will get
slices.
Now, Harris is one of those friends so he receives slices, but he eats one less than he receives. Therefore, we subtract one from this expression to get our final answer of
.
Hope this helped!
Answer:
Volume = Length × Width × Height
Step-by-step explanation:
A right rectangular prism is a three-dimensional object like the one shown in the attachment. It has dimensions: Length, Width and Height. All the angles between the sides are 90°. In order to calculate the volume of an object shaped like a right rectangular prism, we use the following expression.
Volume = Length × Width × Height
Answer:
1) z = -6.32
2) p-value = 0.001 × 10^(-2)
3) we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court
Step-by-step explanation:
We are told that In a representative sample of 1000 adult Americans, only 400 could name at least one justice.
Thus:
Sample proportion; p^ = 400/1000 = 0.4
Sample size: n = 1000
We want to find if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice.
Thus, the hypothesis is defined as;
Null hypothesis:H0: p ≥ 0.5
Alternative hypothesis: Ha < 0.5
Formula for the test statistic is;
z = (p^ - p)/√(p(1 - p)/n)
Plugging in the relevant values;
z = (0.4 - 0.5)/√(0.5(1 - 0.5)/1000)
z = -6.32
From online p-value from z-score calculator attached, using z = -6.32; significance level of 0.01; one tailed hypothesis;
We have:
p-value = 0.00001 = 0.001 × 10^(-2)
The p-value is less than the significance level and so we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court
