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artcher [175]
2 years ago
9

The manager of an automobile dealership is considering a new bonus plan in order to increase sales. Currently, the mean sales ra

te per salesperson is five automobiles per month. The correct set of hypotheses for testing the effect of the bonus plan is _____.a. H0: μ < 5 Ha: μ ≤5
b. H0: μ ≤5 Ha: μ > 5
c. H0: μ > 5 Ha: μ ≤5
d. H0: μ ≥5 Ha: μ < 5
Mathematics
1 answer:
monitta2 years ago
4 0

Answer:

H0: mu = 5

Ha: mu > 5

Step-by-step explanation:

A null hypothesis is a statement from a population parameter which is either rejected or accepted (fail to reject) upon testing.

It is expressed using the equality sign.

An alternate hypothesis is also a statement from a population parameter which negates the null hypothesis and is accepted if the null hypothesis is rejected.

It is expressed using any of the inequality signs.

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Answer:

k(x) + g(x) = x² - 3x + 4

General Formulas and Concepts:

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Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x - 7

g(x) = 2x² - 3x + 1

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<u>Step 2: Find k(x) + g(x)</u>

  1. Substitute:                              k(x) + g(x) = -x² + 3 + 2x² - 3x + 1
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Step-by-step explanation:

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The first discount on a camera was 18%. The second discount was 20%. After these two discounts the price was $328. What was the
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Answer:

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Step-by-step explanation:

We can find the original price of the camera through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities.

<u>Second Discount</u>

20% off means we paid 80%. We know we paid $328 of some price.

\frac{80}{100} =\frac{328}{y}

I can now cross-multiply by multiplying numerator and denominator from each ratio.

80y=100(328)\\80y=32800

I now solve for y by dividing by 80.

\frac{80y}{80} =\frac{32800}{80} \\y= $410

The price after the first discount was $410.

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We will repeat the steps above with $410. 18% off means we paid 82%.

\frac{82}{100} =\frac{410}{y}

I can now cross-multiply by multiplying numerator and denominator from each ratio.

82y=100(410)\\82y=41000

I now solve for y by dividing by 82.

\frac{82y}{82} =\frac{41000}{82} \\y= $500

The original price was $500.


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Answer:

a) 95% of the widget weights lie between 29 and 57 ounces.

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The empirical rule for a mean of 43 and a standard deviation of 7 is shown below.  

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c) The percentage of widget weights that lie above 29 is 47.5% + 50% = 97.5%. We can consider that the percentage of the widget weights that lie above 30 is about 97.5%

3 0
2 years ago
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