Answer: 50.26548 (50.27)
Step-by-step explanation:
Circumference = 2 x π x r(radius)
Diameter = 2 x r(radius)
C = π x 16 = 50.26548
Given:
The equation is:

To find:
The error in the given equation and correct it.
Solution:
We have,

Taking left-hand side, we get

![[\because a^2-b^2=(a-b)(a+b)]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E2-b%5E2%3D%28a-b%29%28a%2Bb%29%5D)
![[\because (ab)^x=a^xb^x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28ab%29%5Ex%3Da%5Exb%5Ex%5D)

It is not equal to right-hand side
. In the right hand side, there must be a negative sign instead of positive sign.
Therefore,
.
Answer:
We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 31.7 milligrams
Sample mean,
= 28.5 milligrams
Sample size, n = 9
Alpha, α = 0.05
Sample standard deviation, s = 2.8 milligrams
First, we design the null and the alternate hypothesis

We use One-tailed t test to perform this hypothesis.
Formula:

Putting all the values, we have

Now,
Since,
We fail to accept the null hypothesis and accept the alternate hypothesis. We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.
There is a correlation between height and speed of the serve
<h3>How to interpret the player statistics?</h3>
From the question, we understand that:
The taller a player, the faster the serve
This means that:
Height implies speed
In other words, there is correlation between the height and the speed of the service
Read more about correlation at:
brainly.com/question/4219149
#SPJ1