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nekit [7.7K]
3 years ago
5

Solve for x. ­a = bx A) (­-b)\a B) b -­ a C) (­-a) + b D) (­-a)/b

Mathematics
1 answer:
Andreyy893 years ago
3 0
I doubt the options you've mentioned here.
The correct answer should be x=a/b
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A company want to find out if there is a linear relationship between indirect labor expense (ILE), in dollars, and direct labor
trapecia [35]

Answer:

y = 115.0977+12.2992X

91.59%

Step-by-step explanation:

Given :

DLH(X) ILE(Y)

20 361_0

25 400

22 376

23 384

20 361_0

19 360

24 427.2

28 458.4

26 450_8

29 475.2

DLH (X) : Direct Labor Hours

ILE (Y) : Indirect Labor Expense

The regression model obtained by fitting the data using technology is :

y = 115.0977+12.2992X

Where ;

Intercept = 115.0977 ;

Slope = 12.2992

The Coefficient of determination, R² gives the proportion of explained variance due to the regression line.

For the data given above, the Coefficient of determination R² obtained using the Coefficient of determination calculator is 0.9159 ; which means that (0.9159 * 100%) about 91.59% of the variation in indirect labor expense is explained by the regression line while 8.41% is due to other factors.

7 0
3 years ago
Given the g(x)=f(x) + k, identify a value of k that transforms f into g
Yuliya22 [10]

Answer:

a vertical shift of 6 units up

Step-by-step explanation:

We have the transformation:

g(x) = f(x) + k

This is what we call a vertical shift, this transformation moves the graph of f(x) k units, and the motion is upwards if k is positive, and downwards if k is negative.

Here we can see that the graph of f(x) intersects the y-axis at y = -2

While the graph of g(x) intersects the y-axis at y = 4.

Then the distance between these two points is:

4 - (-2) = 6

This means that the graph of g(x) is 6 units above the graph of f(x)

Then we have that k must be equal to 6, then the transformation is:

g(x) = f(x) + 6

This is a vertical shift of 6 units up.

8 0
3 years ago
Part D
posledela
Can’t help you then...
7 0
3 years ago
Read 2 more answers
A simple random sample of 36 men from a normally distributed population results in a standard deviation of 10.1 beats per minute
GREYUIT [131]

Answer:

(a) Null Hypothesis, H_0 : \sigma = 10 beats per minute  

     Alternate Hypothesis, H_A : \sigma\neq 10 beats per minute  

(b) The value of chi-square test statistics is 35.704.

(c) P-value = 0.4360.

(d) We conclude that the pulse rates of men have a standard deviation equal to 10 beats per minute.

Step-by-step explanation:

We are given that a simple random sample of 36 men from a normally distributed population results in a standard deviation of 10.1 beats per minute.

If the range rule of thumb is applied to that normal​ range, the result is a standard deviation of 10 beats per minute.

Let \sigma = <u><em>population standard deviation for the pulse rates of men</em></u>.

(a) So, Null Hypothesis, H_0 : \sigma = 10 beats per minute      {means that the pulse rates of men have a standard deviation equal to 10 beats per minute}

Alternate Hypothesis, H_A : \sigma\neq 10 beats per minute      {means that the pulse rates of men have a standard deviation different from 10 beats per minute}

The test statistics that will be used here is <u>One-sample chi-square test</u> for standard deviation;

                             T.S.  =  \frac{(n-1)\times s^{2} }{\sigma^{2} }  ~  \chi^{2}__n_-_1  

where, s = sample standard deviation = 10.1 beats per minute

            n = sample of men = 36

So, <u><em>the test statistics</em></u> =  \frac{(36-1)\times 10.1^{2} }{10^{2} }  ~ \chi^{2}__3_5

                                   =  35.70  4

(b) The value of chi-square test statistics is 35.704.

(c) Also, the P-value of the test statistics is given by;

                    P-value = P(\chi^{2}__3_5 > 35.704) = <u>0.4360</u>

(d) Since the P-value of our test statistics is more than the level of significance as 0.4360 > 0.10, so <u><em>we have insufficient evidence to reject our null hypothesis</em></u> as the test statistics will not fall in the rejection region.

Therefore, we conclude that the pulse rates of men have a standard deviation equal to 10 beats per minute.

3 0
4 years ago
82. A company spends x hundred dollars on an advertising
crimeas [40]

The company spends $649 on advertising

The sales function after advertising is given as:

S(x) = 5 + 7\ln(x + 1)

When the total sales is $19,100, we have S(x) = 19100

So, the sales function becomes

5 + 7\ln(x + 1) = 19.1

Subtract 5 from both sides

7\ln(x + 1) = 14.1

Divide both sides by 7

\ln(x + 1) = 2.014

Take exponents of both sides

x + 1 = e^{2.014

x + 1 = 7.49

Subtract 1 from both sides

x= 6.49

Hence, the company spends $649 on advertising

Read more about functions at:

brainly.com/question/12940982

5 0
3 years ago
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