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padilas [110]
3 years ago
9

1. At a certain company, the human resources department surveyed employee satisfaction. They collected the following data.

Mathematics
2 answers:
sveta [45]3 years ago
5 0

Answer:

Question (a)

The relationship between satisfaction score and salary is a positive one. The graph shows a positive correlation. It means, the higher the salary, the higher the satisfaction score

Question (b)

We will substitute the value of  into the equation 

Question (c)

The constant 0.0005 is the increase of satisfactory score by 0.0005 for every pound increase in the salary

Setler79 [48]3 years ago
3 0
Question (a)
The relationship between satisfaction score and salary is a positive one. The graph shows a positive correlation. It means, the higher the salary, the higher the satisfaction score

Question (b)
We will substitute the value of x=65000 into the equation y=0.0005x+60 = 0.0005(65000)+60=92.5

Question (c)
The constant 0.0005 is the increase of satisfactory score by 0.0005 for every pound increase in the salary
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Battery packs in electric go-carts need to last a fairly long time. The run-times (time until it needs to be recharged) of the b
pav-90 [236]

Answer:

The minimum level for which the battery pack will be classified as highly sought-after class is 2.42 hours

Step-by-step explanation:

Problems of normally distributed samples are 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 = 2, \sigma = 0.33

What is the minimum level for which the battery pack will be classified as highly sought-after class

At least the 100-10 = 90th percentile, which is the value of X when Z has a pvalue of 0.9. So it is X when Z = 1.28.

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

1.28 = \frac{X - 2}{0.33}

X - 2 = 0.33*1.28

X = 2.42

The minimum level for which the battery pack will be classified as highly sought-after class is 2.42 hours

4 0
3 years ago
Find the exact value of tan(sin^-1((-12/13))
lidiya [134]

Answer:

<em>2.399</em>

Step-by-step explanation:

Given the trigonometry expression:

tan(sin^-1((-12/13))

We are to find the exact value

tan(sin^-1((-12/13)) = tan(sin^-1((-0.9231))

tan(sin^-1((-12/13)) = tan(-67.38)

Also note that tan(-theta) = -tan theta

tan(-theta) = -tan67.38

tan(-67.38) = -2.399

<em>The exact value is 2.399</em>

8 0
3 years ago
2
Katarina [22]

Answer:

The volume of rectangular prism is \frac{24}{105} inches³

Step-by-step explanation:

Given as :

The Length of rectangular prism = L = \frac{2}{3} inches

The Breadth of rectangular prism = B = \frac{3}{5} inches

The Height of rectangular prism = H = \frac{4}{7} inches

Let The volume of rectangular prism = V inches³

A rectangular prism is a 3-D figure with 6 faces

Now, <u>From formula of rectangular prism</u>

Volume = Length × width × height

Or, V = L × B × H

Or, V =  \frac{2}{3} inches ×  \frac{3}{5} inches × \frac{4}{7} inches

or, V = \frac{2\times 3\times 4}{3\times 5\times 7} inches³

or, V = \frac{24}{105} inches³

So,  The volume of rectangular prism = V  =  \frac{24}{105} inches³

Hence The volume of rectangular prism is \frac{24}{105} inches³ Answer

5 0
4 years ago
13 – 6x = 2(8 + 3x) <br> x= ???????
ruslelena [56]

Answer:

13-6x=2\left(8+3x\right)

13-6x=16+6x

13-6x-13=16+6x-13

-6x=6x+3

-6x-6x=6x+3-6x

-12x=3

\frac{-12x}{-12}=\frac{3}{-12}

x=-\frac{1}{4}

or

x=-0.25

8 0
3 years ago
Read 2 more answers
Kind of confused, can someone help?
notsponge [240]
I hope this helps u, this is my last year answer for the question

6 0
3 years ago
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