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Lapatulllka [165]

4 years ago

6

Nadia, a personal trainer, sells 4 training packages and earns $670 in commissions. How much would she make in commissions if sh

e sold 17 training packages?

2 answers:

Alika [10]4 years ago

7 0

Answer:

2847.5

Step-by-step explanation:

670/4 = 167.5

17 x 167.5 = 2847.5

irina [24]4 years ago

7 0

Answer:

2847.5

Step-by-step explanation:

First divide 670 by 4 to find how much she makes in 1 commission so

670/4=167.5

Then multiply that with 17 so 17*167.5 =2847.5

You might be interested in

A plane descends 1,200 feet then it descends 500 feet what is the answer

SSSSS [86.1K]

Answer:

1700 ft

Step-by-step explanation:

I think you may have read that question wrong, cause the way you worded made it about to be simple addition, and one of the descends should probably be an ascend.

6 0

3 years ago

Yis inversely proportional to the square of x.

PtichkaEL [24]

Answer:

(a) $y = \frac{4}{x^2}$

(b) $x = \frac{2}{5}$

Step-by-step explanation:

Given

Variation: Inverse proportional.

This is represented as:

$y\ \alpha\ \frac{1}{x^2}$

See attachment for table

Solving (a):

First convert variation to equation

$y = k\frac{1}{x^2}$

From the table:

$(x,y) = (1,4)$

So, we have:

$4 = k * \frac{1}{1^2}$

$4 = k * \frac{1}{1}$

$4 = k * 1$

$4 = k$

$k = 4$

Substitute 4 for k in $y = k\frac{1}{x^2}$

$y = 4 * \frac{1}{x^2}$

$y = \frac{4}{x^2}$

Solving (b): x when y = 25.

Substitute 25 for y in $y = \frac{4}{x^2}$

$25 = \frac{4}{x^2}$

Cross Multiply

$25 * x^2 = 4$

Divide through by 25

$x^2 = \frac{4}{25}$

Take positive square roots of both sides

$x = \sqrt{\frac{4}{25}$

$x = \frac{2}{5}$

4 0

3 years ago

An engineer travels daily from home tothelaboratory each morning with an average commutetime of 24.6 minutes with a standard dev

charle [14.2K]

Answer:

1.74% probability that the commute takes more than 32 minutes.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 24.6, \sigma = 3.5$

a.What is the probability that the commute takes more than 32 minutes?

This is 1 subtracted by the pvalue of Z when X = 32. So:

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

$Z = \frac{32 - 24.6}{3.5}$

$Z = 2.11$

$Z = 2.11$ has a pvalue of 0.9826.

So there is a 1-0.9826 = 0.0174 = 1.74% probability that the commute takes more than 32 minutes.

7 0

3 years ago

Plz answer da question

natka813 [3]

Answer:

False

Step-by-step explanation:

It's called canceling

8 0

4 years ago

A dilation has center (0,0). Find the image of the point B ( 5/3, -7/2) for the scale factor 1/3

EastWind [94]

<h3>Answer: (5/9, -7/6)</h3>

=======================================================

Explanation:

Since the center of dilation is (0,0), we multiply each coordinate of point B by the scale factor 1/3.

The coordinates of point B are x = 5/3 and y = -7/2

So we have

(1/3)*x = (1/3)*(5/3) = (1*5)/(3*3) = 5/9 as the new x coordinate

and

(1/3)*y = (1/3)*(-7/2) = (1*(-7))/(3*2) = -7/6 as the new y coordinate

The point (5/3, -7/2) moves to (5/9, -7/6)

6 0

3 years ago