Answer:
The 99% confidence interval for the average length of time all car owners plan to keep their cars is between 3.85 years and 10.55 years.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 7.2 - 3.35 = 3.85 years
The upper end of the interval is the sample mean added to M. So it is 7.2 + 3.35 = 10.55 years
The 99% confidence interval for the average length of time all car owners plan to keep their cars is between 3.85 years and 10.55 years.
Answer:
The average walking speed is 1.48 feet per second
Step-by-step explanation:
we have

where
r is average walking speed
p is the population in thousands
In this problem we have
----> because p in the equation is in thousands
substitute the value of p in the equation

using a calculator

The value of the product expression is –6p^3 + 8p^2 – 10p
<h3>How to simplify the product?</h3>
The product expression is given as:
2p(–3p2 + 4p – 5)
Rewrite properly as:
2p(–3p^2 + 4p – 5)
Remove the bracket
2p * –3p^2 + 2p * 4p – 2p * 5
Evaluate the products
–6p^3 + 8p^2 – 10p
Hence, the value of the product expression is –6p^3 + 8p^2 – 10p
Read more about expression at
brainly.com/question/4541471
#SPJ1
The initial population was 234.
<em><u>Explanation</u></em>
<u>Formula for the exponential growth</u> is:
, where P is the initial amount, A is the final amount, r is the rate of growth and t is the time duration.
There was 337 bacteria after 5 minutes and 699 bacteria after 15 minutes. So, the equations will be......

Now dividing equation (2) by equation (1) , we will get .......

<u>Taking 'natural log'</u> on both sides.........

Now, plugging this
into equation (1), we will get......

So, the initial population was 234.
Answer:
A.Point
Step-by-step explanation: