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Vilka [71]
3 years ago
7

A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics from a data​ set, his height co

nverts to the z score of 5.17. How many standard deviations is his height above the​ mean?
Mathematics
1 answer:
LiRa [457]3 years ago
5 0

Answer:

z=\frac{x-\mu}{\sigma}

And we know that the value for z= 5.17

And that means that the height is 5.17 deviations above the population mean,

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".  

Solution to the problem

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

X \sim N(\mu,\sigma)  

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}

And we know that the value for z= 5.17

And that means that the height is 5.17 deviations above the population mean.

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There are 5 times as many males as females on the maths course at university. What fraction of the course are female? Give your
koban [17]

Answer: 1/6

Step-by-step explanation: Let the no of females be x

The no of males be 5x

The total no of males and females in the math course be 5x+x= 6x

The fraction of females is x/6x = 1/6

4 0
3 years ago
5. The width of a row of identical townhouses,
Serjik [45]

Answer:

a. The value of the constant k is 21

b. The equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.

Step-by-step explanation:

a.

<em>A proportional relationship satisfies the equation y = k * x, where k is a positive constant and is called a proportionality constant. In this case "x" is the number of terraced houses and "y" is the width of a row of identical houses. </em>

The data you have is that the width of 5 townhouses are 105 feet. This means that the value of "x" is 5 houses and the value of "y" is 105 feet. By replacing in the equation y = k * x and isolating the constant k, you get:

<em>105=k*5 </em>

k=\frac{105}{5}

<em>k=21 </em>

<u><em>So the value of the constant k is 21.</em></u>

b.

<em>As mentioned, the equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.</em>

This means that just as "x" increases, "y" increases. And that if "x" decreases, "y" will decrease. And this relationship between "x" e "and" will always be the same, determined by the value of the constant "k".

7 0
3 years ago
James's garden has a length of 12 1/4 feet and a width of 9 2/3 feet. What length of fencing will he need to surround his garden
Lina20 [59]
43 and 5/6 because 12 and 1/4*2 is 24 and 1/2 then 9 and 2/3*2 is 19 and 1/3 and when you add that you get 43 and 5/6
6 0
3 years ago
Which of the following statements best describes the graph of x + y =2?
andre [41]

Step-by-step explanation:

so x+y=2

a line would have to go 0,2 2,0

so the answer would be D

4 0
3 years ago
Recall the experiment comparing patients 4 weeks after surgery for carpal
dimulka [17.4K]

Answer:

4. H0: u1= u2    Ha; u1≠ u2

5. The smaller value of p supports the null hypothesis.

Step-by-step explanation:

4. The null and alternate hypotheses are

H0: u1= u2   i.e there no difference between the mean pinch strengthof the two surgeries

against the claim

Ha; u1≠ u2   i.e there a difference between the mean pinch strengthof the two surgeries

It can be written like this as well

H0: u1 -u2= 0   i.e there no difference between the mean pinch strengthof the two surgeries

against the claim

Ha; u1 -u2≠ 0   i.e there a difference between the mean pinch strengthof the two surgeries

Part 5. The test having a p- value less than 0.05  tells that the null hypothesis cannot be rejected. Theres no evidence to reject the null hypothesis.

The smaller value of p supports the null hypothesis.

3 0
2 years ago
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