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1 year ago

Ava decided to move the cabinet to the

Mathematics

1 answer:

geniusboy [140]1 year ago

3 0

Transformation involves moving a shape away from its original position

The transformation to move the cabinet to a new position is translation
The transformation to place the chair directly across the couch is reflection

The required diagrams to answer this question are missing; so, I will provide a general exam

(a) Moving the cabinets

The question says that the cabinets are moved away from their original position.

Since terms like "rotation" or "reflection" are not used, then the general transformation used for "moving" is translation.

Hence, the transformation is translation

(b) Changing the position of the chairs

The question says that the chairs would be placed directly across the couch.

The term "directly across" is used for reflection of a shape.

Hence, the transformation is reflection

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Mary had $25,000 to invest. She invested part of that amount at 3% annual interest and part at 5% annual interest for one year.

emmasim [6.3K]

(25000-f)(.03)+.05f=1100

750-.03f+.05f=1100

750+.02f=1100

.02f=350

f=$17500

So Mary invested $17500 @ 5% and 7500 at 3% to earn $1100 in interest.

3 0

3 years ago

According to the Bureau of Labor Statistics, the average weekly pay for a U.S. production worker was $441.84 in 1998 (The World

Oksanka [162]

Using the normal distribution, it is found that a production worker has to make $542.64 a week to be in the top 30% of wage earners.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

It 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, which is the percentile of X.

In this problem:

The mean is of $\mu = 441.84$ .

The standard deviation is of $\sigma = 120$ .

The lower bound of the top 30% is the 70th percentile, which is X when Z has a p-value of 0.7, so X when Z = 0.84.

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

$0.84 = \frac{X - 441.84}{120}$

$X - 441.84 = 0.84(120)$

$X = 542.64$

A production worker has to make $542.64 a week to be in the top 30% of wage earners.

You can learn more about the normal distribution at brainly.com/question/24663213

3 0

2 years ago

What is 17.8 rounded to the nearest tenth

inysia [295]

It would still be 17.8, unless there are more numbers after the 8.

4 0

3 years ago

BC is a secant intersecting the circle at point X: The figure shows a circle with points A and B on it and point C outside it. S

yuradex [85]

Answer:

Is their a picture that goes along with this?

8 0

2 years ago

Read 2 more answers

The lines whose equations are 2x + y = 3z and x + y = 6z intersect at which point?

Tema [17]

2x + y - (x + y) = 3z - 6z
--------------------------------------------------------
x = -3z 
------------------------------------------

(-3z, 9z) 
----------------------------------
(x,y,z) = (-3z, 9z, z)
--------------------------
x = -3z, y = 9z
---------------------
There for the answer is (-3z, 9z)

3 0

2 years ago