MATHEMATICS COLLEGE

Connor works in a department store selling clothing. He makes a guaranteed salary of $300 per week, but is paid a commision on top of his base salary equal to 5% of his total sales for the week. How much would Connor make in a week in which he made $2175 in sales? How much would Connor make in a week if he made xx dollars in sales?

Answers

Answer 1

Answer:

If Connor makes x dollars in sales, he will make 0.05x + 300 that week.

He makes $408.75 in a week if he makes $2175 in sales.

Step-by-step explanation:

y = 0.05x + 300

y = 0.05(2175) + 300

y = 408.75

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What is the equivalent of 27/5 in decimal form?

What are the coordinates of point A? (8, –6) (–6, 8) (–5, 7) (7, –5)

Answers

Answer:I think it is

7 -5

Step-by-step explanation:

Answer:

D-(7, –5)

Step-by-step explanation:

hope this helps:)

The United States Bureau of Labor Statistics (BLS) conducts the Quarterly Census of Employment and Wages (QCEW) and reports a variety of information on each county in America. In the third quarter of 2016, the QCEW reported the total taxable earnings, in millions, of all wage earners in all 3222 counties in America. Suppose that James is an economist who collects a simple random sample of the total taxable earnings of workers in 56 American counties during the third quarter of 2016. According to the QCEW, the true population mean and standard deviation of taxable earnings, in millions of dollars, by county are ?=28.29 and ?=33.493, respectively.
Let X be the total taxable earnings, in millions, of all wage earners in a county. The mean total taxable earnings of all wage earners in a county across all the counties in James' sample is x??.
Use the central limit theorem (CLT) to determine the probability P that the mean taxable wages in James' sample of 56 counties will be less than $33 million. Report your answer to four decimal places.
P(x??<33)=
Use the CLT again to determine the probability that the mean taxable wages in James' sample of 56 counties will be greater than $30 million. Report your answer to four decimal places.
P(x??>30)=

Answers

Answer:

The probability is $P(\= X < 33) = 0.8531$

The probability is $P(\= X > 30) = 0.3520$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 28.29$

The standard deviation is $\sigma = 33.493$

The sample size is $n = 56$

Generally the standard error for the sample mean $(\= x )$ is mathematically evaluated as

$\sigma _(\=x) = (\sigma)/(√(n) )$

substituting values

$\sigma _(\=x) = (33.493)/(√(56) )$

$\sigma _(\=x) = 4.48$

Apply central limit theorem[CLT] we have that

$P(\= X < 33) = [z < (33 - \mu )/(\sigma_(\= x)) ]$

substituting values

$P(\= X < 33) = [z < (33 - 28.29 )/(4.48) ]$

$P(\= X < 33) = [z < 1.05 ]$

From the z-table we have that

$P(\= X < 33) = 0.8531$

For the second question

Apply central limit theorem[CLT] we have that

$P(\= X > 30 ) = [z > (30 - \mu )/(\sigma_(\= x)) ]$

substituting values

$P(\= X < 33) = [z > (30 - 28.29 )/(4.48) ]$

From the z-table we have that

$P(\= X < 30) = 0.6480$

Thus

$P(\= X > 30) = 1- P(\= X < 30) = 1- 0.6480$

$P(\= X > 30) = 0.3520$

The temperature of an enclosure for a pet snake should be about 80°F, give or take 5°F. What are the maximum and minimum temperatures of the enclosure?

Answers

Answer:

The max is 85F

The min is 75F

Step-by-step explanation:

For the max 80+5=85F

For the min 80-5=75F

Max =85

Minimal=75

Your subtracting 5 from 80 and 85

4. For the following functions, (i) determine all open intervals where f(x) is increasing, decreasing, concave up, and concave down, and (ii) find all local maxima, local minima, and inflection points. Give all answers exactly, not as numerical approximations. (a) f(x) = x 5 − 2x 3 for all x

Answers

Answer:

Step-by-step explanation:

Please help me!! pel

Answers

Answer:

Step-by-step explanation:

plug that bad boy in and chug

$(-6)^(2) + 6(-6) +5$

36 + (-36) + 5

36 - 36 + 5

Answer:

It’s 5

Step-by-step explanation:

Because the new expression would be -6^2 + 6(-6) + 5 then u solve it...

36 + (-36) + 5

which is 5 have a great day!

Which represents an exterior angle of triangle XYZ?O LXZ
O JXM
O JXZ
O HXJ

on edge 2020

Answers

An exteriorangle of ΔXYZ is ∠HXJ.

The correct option is D.

What is an angle measure?

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

As per the provided diagram, the exterior angles in the ΔXYZ are:

∠LXH,

∠MXJ,

∠HXJ,

∠OYK,

∠GZN,

∠MXZ,

∠YXL,

∠KYZ,

∠GZY.

From the given choices, ∠HXJ is an exterior angle of ΔXYZ.

To learn more about the angle measure;