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Mrac [35]
3 years ago
7

A salesperson receives step commission on sales calculated as follows:

Mathematics
1 answer:
kykrilka [37]3 years ago
7 0

Answer:

$2278.846

Step-by-step explanation:

Given the following commision steps :

8% on first $1000;

12% next $2000;

20% on sales above $3000

Recorded sales for a week :

Monday $1500.00

Tuesday $3000.00

Wednesday $ 970.00

Thursday $4563.81

Friday $2760.42

This assu es that commision is calculated after weekly sales:

Total:

(1500 + 3000 + 970 + 4563.81 + 2760.42)

= $12794.23

8% on first $1000

0.08 × $1000 = $80

12% of $2000 = $240

20% of $(12794.23 - 3000)

= 0.2 × 9794.23

= 1958.846

Total commision for the week :

$(80 + 240 + 1958.846)

= $2278.846

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The mean resting pulse rate for men is 72 beats per minute. A simple random sample of men who regularly work out at Mitch's Gym
BARSIC [14]

Answer:

We conclude that the mean resting pulse rate for men is 72 beats per minute.

Step-by-step explanation:

We are given that he mean resting pulse rate for men is 72 beats per minute. Assume that the standard deviation of the resting pulse rates of all men who work out at Mitch's Gym is known to be 2.6 beats per minute.

A simple random sample of men who regularly work out at Mitch's Gym is obtained and their resting pulse rates (in beats per minute) are listed below;

87, 89, 69, 63, 70, 65, 88, 84, 58, 53, 66, 70.

Let \mu = <u><em>mean resting pulse rate for men.</em></u>

SO, Null Hypothesis, H_0 : \mu = 72 beats/minute     {means that the mean resting pulse rate for men is 72 beats per minute}

Alternate Hypothesis, H_A : \mu < 72 beats/minute      {means that the mean resting pulse rate for men is less than 72 beats per minute}

The test statistics that would be used here <u>One-sample z-test statistics</u> as we know about population standard deviation;

                            T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean mean resting pulse rate = \frac{\sum X}{n}

                =  \frac{87+ 89+ 69 +63 +70 +65+ 88+ 84+ 58+ 53+ 66+ 70}{12}  = 71.83 beats/minute

            \sigma = population standard deviation = 2.6 beats per minute

            n = sample of men = 12

So, <u><em>the test statistics</em></u>  =  \frac{71.83 - 72}{\frac{2.6}{\sqrt{12} } }    

                                     =  -0.23

The value of z test statistics is -0.23.

<u></u>

<u>Also, P-value of the test statistics is given by;</u>

            P(Z < -0.23) = 1 - P(Z \leq 0.23)

                                 = 1 - 0.59095 = <u>0.40905</u>

Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.

Since our test statistic is more than the critical value of z as -0.23 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <em><u>we fail to reject our null hypothesis</u></em>.

Therefore, we conclude that the mean resting pulse rate for men is 72 beats per minute.

3 0
3 years ago
Penny is going to fly her plane to her sister's house, which is 544.32 miles away. Penny's airplane flies at an average speed of
Sedbober [7]

Answer:

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Step-by-step explanation:

Given data

Distance=  544.32 miles

Speed=  672 miles per hour.

We know that

Speed= distance/time

Substitute

672=  544.32/time

cross multiply

time*672= 544.32

time= 544.32/672

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Answer:yes

Step-by-step explanation:

because 0.89 is a very small number so itd be reasonable for it to be a large number

3 0
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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