a concert ticket cost $90. If the concert ticket is four times the cost of parking, how much does each cost?

Your body loses sodium when you sweat. Researchers sampled 38 random tennis players. The average sodium loss was 500 milligrams

Salsk061 [2.6K]

Answer:

The 99% confidence interval to estimate the mean loss in sodium in the population is between 474.10 milligrams and 525.90 milligrams. This means that we are 99% that the true mean loss in sodium in the population is between 474.10 milligrams and 525.90 milligrams.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

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

$M = 2.575*\frac{62}{\sqrt{38}} = 25.90$

The lower end of the interval is the mean subtracted by M. So it is 500 - 25.90 = 474.10 milligrams.

The upper end of the interval is the mean added to M. So it is 500 + 25.90 = 525.90 milligrams

The 99% confidence interval to estimate the mean loss in sodium in the population is between 474.10 milligrams and 525.90 milligrams. This means that we are 99% that the true mean loss in sodium in the population is between 474.10 milligrams and 525.90 milligrams.

7 0

3 years ago

The vertex of the graph of f(x)=|X-3|+6 is located at

frosja888 [35]

The vertex of the graph of f(x)= |x-3|+6 is located at (3, 6)

<h3>How to determine the vertex?</h3>

The equation of the function is given as:

f(x) = |x - 3| + 6

The above function is an absolute value function.

An absolute value function is represented as:

f(x) = a|x - h| + k

Where:

Vertex = (h, k)

By comparison, we have:

Vertex = (3, 6)

Hence, the vertex of the graph of f(x)= |x-3|+6 is located at (3, 6)

Read more about vertex at:

brainly.com/question/16799565

#SPJ1

6 0

2 years ago

I need help please! my test is almost over in 15 min help!!!!!!!!!!!!

Leya [2.2K]

Answer:

The radius is 7

The diameter is 14

The circumference is 43.98 (if they want it simplified put 44)

Step-by-step explanation:

1.The radius is already given in the picture so the answer is 7

2.To find the diameter, multiply the radius by two. 7 times 2=14

3.The formula for circumference is C=2 $\pi$ r. Remove the r and replace it with the number 7. Plug 2 $\pi$ 7 into your calculator and you will get 43.98