4 friends evenly dividing up a n - slice pizza
So each one get
slices of pizza.
For example, if n = 12 slice then each friend gets 12/4 = 3 pieces. If Harris ate one slice less then he ate
=3 -1 = 2 pieces.
So the general expression for slices of pizza did Harris eat is

Answer: 2,215,000
Step-by-step explanation:
Given: The quadratic function
models the population of a city where x represents the number of years since 2005.
To Find: population of the city in 2010
We need to put x= 2010-2005 = 5

Hence, the estimated population of the city in 201 = 2215 thousands or 2,215,000 .

Differentiate both sides with respect to <em>x</em>, assuming <em>y</em> = <em>y</em>(<em>x</em>).




Solve for d<em>y</em>/d<em>x</em> :



If <em>y</em> ≠ 0, we can write

At the point (1, 1), the derivative is

Answer:3.0059 , 3.601 , 3.06
Step-by-step explanation:
the number with less digits behind the decimal has less value
Answer:
b. There is not enough evidence to say that the populations of men and women have different mean nose lengths.
See explanation below.
Step-by-step explanation:
Develop the null and alternative hypotheses for this study?
We need to conduct a hypothesis in order to check if the means for the two groups are different (men have longer mean nose length than women), the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Assuming that we know the population deviations for each group, for this case is better apply a z test to compare means, and the statistic is given by:
(1)
z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.
Let's assume that the calculated statistic is 
Since is a right tailed test test the p value would be:
And we know that the p value is 0.225. If we select a significance level for example 0.05 or 0.1 we see that 
And on this case we have enough evidence to FAIl to reject the null hypothesis that the means are equal. So then the best conclusion would be:
b. There is not enough evidence to say that the populations of men and women have different mean nose lengths.