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2 years ago

8

Ten people, including Fred, are in the Jazz Club. They decide to form a 3-person steering committee. How many possible committee

s could be formed that include Fred?

1 answer:

Anastasy [175]2 years ago

7 0

Answer:

30

Step-by-step explanation:

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The weekly salary paid to employees of a small company that supplies part-time laborers averages $750 with a standard deviatio

poizon [28]

Answer:

(a) The fraction of employees is 0.84.

(b)

$\mu=850\\\\\sigma=450$

(c)

$\mu=787.5\\\\\sigma=472.5$

(d) No. The left part of the distribution would be truncated too much.

Step-by-step explanation:

(a) If the weekly salaries are normally distributed, estimate the fraction of employees that make more than $300 per week.

We have to calculate the z-value and compute the probability

$z=\frac{X-\mu}{\sigma}= \frac{300-750}{450}=\frac{-450}{450}=-1\\\\P(X>300)=P(z>-1)=0.84$

(b) If every employee receives a year-end bonus that adds $100 to the paycheck in the final week, how does this change the normal model for that week?

The mean of the salaries grows $100.

$\mu_{new}=E(x+C)=E(x)+E(C)=\mu+C=750+100=850$

The standard deviation stays the same ($450)

$\sigma_{new}=\sqrt{\frac{1}{N} \sum{[(x+C)-(\mu+C)]^2} } =\sqrt{\frac{1}{N} \sum{(x+C-\mu-C)^2} }\\\\ \sigma_{new}=\sqrt{\frac{1}{N} \sum{(x-\mu)^2} } =\sigma$

(c) If every employee receives a 5% salary increase for the next year, how does the normal model change?

The increases means a salary X is multiplied by 1.05 (1.05X)

The mean of the salaries grows 5%, to $787.5.

$\mu_{new}=E(ax)=a*E(x)=a*\mu=1.05*750=487.5$

The standard deviation increases by a 5% ($472.5)

$\sigma_{new}=\sqrt{\frac{1}{N} \sum{[(ax)-(a\mu)]^2} } =\sqrt{\frac{1}{N} \sum{a^2(x-\mu)^2} }\\\\ \sigma_{new}=\sqrt{a^2}\sqrt{\frac{1}{N} \sum{(x-\mu)^2}}=a*\sigma=1.05*450=472.5$

(d) If the lowest salary is $300 and the median salary is $525, does a normal model appear appropriate?

No. The left part of the distribution would be truncated too much.

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2 years ago

How much of the circle is shaded? Write your answer as a fraction in simplest form.

Alchen [17]

What I would do is find the common denominator for both fractions. The common denominator in this case would be 24 seeing as both 3 and 8 go into 24 evenly. 1/3 would equal to 8/24 by multiplying both 1 and 3 by 8 and 3/8 would equal to 9/24 by multiplying both 3 and 8 by 3. Add 8 and 9 from the fractions 8/24 and 9/24 which would give you 17/24. To find the remaining section of the circle, subtract 17 from 24 which would give you 7/24. 7/24 doesn't reduce any further so your answer would be 7/24 of the circle is shaded.

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Which expression is equivalent to -9x^-1y^-9/-15x^5y^-3? Assume x is not equal to 0,y is not equal to 0

VladimirAG [237]

I am going to assume that "v" is meant to be a "y"
the answer is b. (3)/(5x^6 y^6)

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Which statement best describes the domain and range of p(x) = 6–x and q(x) = 6x? p(x) and q(x) have the same domain and the same

Sati [7]

p(x) and q(x) have different domains and different ranges

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2 years ago

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A salesman’s commission on a $150,000 sale is $3,000. What percent is his commission?

Elenna [48]

Answer:

The commission percentage is 2%

Step-by-step explanation:

To find the percentage of a commission, start by dividing the commission amount by the total amount sold.

3,000/150,000 = .02 = 2%

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2 years ago