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Renee scores an average of 153 points in a game of bowling, and her points in a game of bowling are normally distributed. Suppos

Lelu [443]

Answer:

$\sigma=\frac{175-153}{2}=11$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent points in a game of bowling of a population, and for this case we know the distribution for X is given by:

$X \sim N(153,unknown)$

Where $\mu=153$ and $\sigma=?$

We know that the value for Renee is X=175 and the z score obteined was Z=2.

Solution to the problem

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{X-\mu}{\sigma}$

We are interested on the value of $\sigma$ and we can solv for it:

$z \sigma = X-\mu$

$\sigma=\frac{X-\mu}{z}$

And replacing the values we have:

$\sigma=\frac{175-153}{2}=11$

5 0

3 years ago

Read 2 more answers

What is the Circumference of a Circle with a radius of 8 m?

nata0808 [166]

Answer:

C = 50.24

Step-by-step explanation:

C = 2πr

C = 2π(8)

C = 16π

C = 50.24

Tell me if I am wrong.

Can I get brainliest

3 0

4 years ago

A town sits at point (5,1) on a map. From the tallest building in the town, you can see objects up to 7 miles away. If each unit

Vlada [557]

Answer:

The distance between the tallest building and the statue is 5 miles, so as the statue is inside the range of 7 miles, it can be seen from the tallest building.

Step-by-step explanation:

To solve the problem we need to know the distance between the tallest building in the town and the statue.

This distance can be calculated with the formula of the distance between two points:

d = sqrt(dx^2 + dy^2), where dx is the difference in x-coordinate between the points and dy is the difference in y-coordinate between the points.

So, the distance between these points is:

dx = 5-2 = 3

dy = 1-5 = -4

d = sqrt(3^2 + (-4)^2) = sqrt(9+16) = 5 miles

The distance is 5 miles, so as it is inside the range of 7 miles, the statue can be seen from this point.

3 0

3 years ago

Shawn and Ellie are construction workers. Shawn can complete a concrete job in 5 hours, while Ellie can complete it in 7 hours.

eimsori [14]

Step-by-step explanation:

We generally assume that when multiple resources are put on a job, the completion rate is the sum of the completion rates of the different resources. Rate is generally measured in units per time. Here, the appropriate "unit" is "job".

Step 1 is convert the hours per job to a rate in terms of jobs per hour.

... Shawn can complete 1/5 job per hour.

... Ellie can complete 1/7 job per hour.

Step 2 is to add the rates to get the total rate when both resources are applied.

... (1/5 job/h) + (1/7 job/h) = (7/35 +5/35) job/h = 12/35 job/h

Step 3 is to convert that rate back to the time require to complete one job. We can divide the work to be done (1 job) by the rate at which it is done in order to find the time required.

... (1 job)/(12/35 job/h) = 35/12 h = 2 11/12 hours = 2 hours 55 minutes

The foreman is incorrect.

_____

<em>Comment on the solution</em>

The time when workers work together will always be between the longest time divided by the number of workers (7/2 = 3.5 hours here) and the shortest time divided by the number of workers (5/2 = 2.5 hours here). Our answer of 2.92 hours is in that range.

The foreman should know better. (If s/he were to divide the average completion time (6 h) by the number of workers (2), s/he would have a guess of 3 hours—closer, but still incorrect.)

4 0

4 years ago

Let f(x) = √x and g(x) = x be two functions over the set of negative real numbers. Find (f+g)x ,(f-g)x , (fg)x , (f/g)x .

Delicious77 [7]

$RELATIONS \: \: AND \: \: FUNCTIONS \\ \\ \\ We \: have \: , \: \\ \\ \\ (f+g)(x ) \: = \: \sqrt{x} + x \\ \\ \\ (f - g)(x ) \: = \: \sqrt{x} - x \\ \\ \\ (fg)(x) = \sqrt{x} (x) = {x}^{ \frac{3}{2} } \\ \\ \\ (\frac{f}{g} )(x) = \frac{ \sqrt{x} }{x} = {x}^{ \frac{ - 1}{ \: \: \: 2} } \: \: \: \: \: \: \: \: \: Ans.$

5 0

3 years ago

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