A basketball player averages 22.5 points scored per game with a standard deviation of 6.2 points. In one game, the number of points the athlete scored was 1.2 standard deviations below his mean. How many points below average was this value?

Answers

Answer 1

Answer:

Using the normal distribution, it is found that this value was 7.5 points below the average.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = (X - \mu)/(\sigma)$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, by:

$\mu = 22.5, \sigma = 6.2$ .

In one game, the number of points the athlete scored was 1.2 standard deviations below his mean, hence Z = -1.2 and the score was of X, so:

$Z = (X - \mu)/(\sigma)$

$-1.2 = (X - 22.5)/(6.2)$

X - 22.5 = -1.2 x 6.2

X = 15.

15 - 22.5 = 7.5.

This value was 7.5 points below the average.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ2

Answer 2

Answer:

Answer:

7.44 is the answer

Step-by-step explanation:

Related Questions

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It is believed that the average amount of money spent per U.S. household per week on food is about $98, with standard deviation $11. A random sample of 36 households in a certain affluent community yields a mean weekly food budget of $100. We want to test the hypothesis that the mean weekly food budget for all households in this community is higher than the national average. State the null and alternative hypotheses for this test, the test statistic and determine if the results significant at the 5% level.

Answers

Answer:

The null hypothesis is

$H_o : \mu =$ $98

The alternative hypothesis is

$H_a : \mu >$ $98

test statistics $t_s = 1.091$

The the result of the test statistics is significant

Step-by-step explanation:

From the question we are told that

The population mean is $\mu =$ $98

The standard deviation is $\sigma =$ $11

The sample size is $n = 36$

The sample mean is $\= x =$ $100

The level of significance is $\alpha = 5$ % = 0.05

The null hypothesis is

$H_o : \mu =$ $98

The alternative hypothesis is

$H_a : \mu >$ $98

Now the critical values for this level of significance obtained from critical value for z-value table is $z_\alpha = 1.645$

The test statistics is mathematically evaluated as

$t_s = (\= x - \mu)/( (\sigma )/( √(n) ) )$

substituting values

$t_s = (100 - 98)/( (11 )/( √(36) ) )$

$t_s = 1.091$

Looking at $z_\alpha \ and \ t_s$ we see that $z_\alpha \ > t_s$ hence the we fail to reject the null hypothesis

hence there is no sufficient evidence to conclude that the mean weekly food budget for all households in this community is higher than the national average.

Thus the the result is significant

Nathan received a package for his birthday the package wait $5,910,000 milligrams select the conversions that are equivalent to 5,910,000. Mark all that apply.59,100 kilograms
59.1 centigrams
591,000 centigrams
5.91 kilograms

Answers

Answer:

5.91 kilograms

591,000 centigrams

Step-by-step explanation:

These two are WRONG:

59,100 kilograms

59.1 centigrams

The radius of a circle is 10.7 m. Find the circumference
to the nearest tenth.

Answers

Answer:

2 x $\pi$ x 10.7 = 67.2

Step-by-step explanation:

c=2πr

c=2×π×10.7m

c=67.2m

so about 67

What is the answer to a

Answers

Answer: a = b*r/n

Step-by-step explanation: Hope this helps :^)

The point-slope form of the equation of a nonvertical line with slope, m, that passes through the point (x1,y1) is...?a. Ax+By=c

b. y-y1=m(x-x1)

c. y1=mx1+b

d. Ax1+by1=C

e. y=mx+b

f. y1-y=m(x-x1)

Please explain why, if you can. Thanks! :)

Answers

The equation of the line, in point-slope form, is given by:

$y - y_1 = m(x - x_1)$

Option b.

-----------------------------------------

The equation of a line, in point-slope form, is given by:

$y - y_1 = m(x - x_1)$

In which

m is the slope.
The point is $(x_1,y_1)$ .
Nonvertical line means that $m \neq 0$
Thus, the correct option is given by option b.

A similar problem is given at brainly.com/question/24144915

Answer:

b. y-y1 = m(x-x1)

Step-by-step explanation:

It's a matter of definition. There are perhaps a dozen useful forms of equations for a line. Each has its own name (and use). Here are some of them.

slope-intercept form: y = mx + b
point-slope form: y -y1 = m(x -x1)
two-point form: y = (y2-y1)/(x2-x1)(x -x1) +y1
intercept form: x/a +y/b = 1
standard form: ax +by = c
general form: ax +by +c = 0

Adding y1 to the point-slope form puts it in an alternate form that is useful for getting to slope-intercept form faster: y = m(x -x1) +y1. I use this when asked to write the equation of a line with given slope through a point, with the result in slope-intercept form.

What does -7(x+7)=-56

Answers

Answer:

x=1

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

Answer: x = 1

The way you find x is by dividing both sides of the equation by -7

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