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NNADVOKAT [17]
3 years ago
11

Brian and Christina started keeping track of their workouts. Brian did 85 sit-ups the first week and 90 sit-ups each week after

that. Christina did 65 sit-ups the first week and 90 sit-ups each week after that. How many sit-ups will each person have done after 5 weeks?
Mathematics
1 answer:
IrinaK [193]3 years ago
6 0

Brian-90×5+85=535

Christina-90×5+65=515

So after 5 weeks Brian will do 535 push ups and Christina will have done 515.

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A bank is experimenting with programs to direct bill companies for commercial loans. They are particularly interested in the num
Evgesh-ka [11]

Answer:

The 95% confidence interval for true mean error is (4.57, 4.63).

Step-by-step explanation:

Let <em>X</em> = the number of errors of a billing program.

According to the Central limit theorem if a large sample (<em>n</em> > 30) is drawn from an unknown population then the sampling distribution of the sample mean will follow a Normal distribution with mean (\mu_{\bar x}=\mu) and standard deviation      (\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}).

The sample size of the loans is, <em>n</em> = 1000.

The mean is, {\bar x}=4.6.

The standard deviation is,  \sigma_{\bar x}=\frac{0.50}{\sqrt{1000}}=0.016

The confidence interval for mean is:

CI=\bar x\pm z_{\alpha /2}\times \sigma_{\bar x}

The critical value of <em>z</em> for 95% confidence interval is:

z_{\alpha /2}=z_{0.05/2}=z_{0.025}=1.96

**Use the <em>z</em>-table for critical values.

Compute the 95% confidence interval for true mean error as follows:

CI=\bar x\pm z_{\alpha /2}\times \sigma_{\bar x}\\=4.6\pm1.96\times0.016\\=4.6\pm0.03136\\=(4.56864, 4.63136)\\\approx(4.57, 4.63)

Thus, the 95% confidence interval for true mean error is (4.57, 4.63).

7 0
3 years ago
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In a class of 18 students, 5 have a brother and 11 have a sister. There are 5 students who do not have any siblings. What is the
Sphinxa [80]
I think the images should make sense. If not, just comment, I’ll be here. (It’s only letting me insert one image so I’ll have to exp this part) once you’ve filled the two way table in, you circle the two squares that Apple to the situation. In this case, which ones don’t have a brother? The top right and bottom right fit that bill. Then you divide the number of students that actually have a sister but the two squares (added together) that do t have a brother. So it’d be 5/10 which is .5 for an answer

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3 years ago
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$5.33=1.5lbs
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2.5lbs = $8.90
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3 years ago
What is the least common denominator of 34 , 54 , and 32 ?
Nutka1998 [239]
It would be D 54/60
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3 years ago
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10
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