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KiRa [710]
3 years ago
12

What is the value of the expression (81 1/4) ^4

Mathematics
1 answer:
Mama L [17]3 years ago
8 0

the answer is 43580627.44 according to my calculations!

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|-15-7|= simply the expression
hichkok12 [17]

Answer:

22

Step-by-step explanation:

|-15 - 7|

-15 - 7 = -22

|-22| = 22

3 0
3 years ago
An advertisement for a popular weight-loss clinic suggests that participants in its new diet program lose, on average, more than
Sedbober [7]

Testing the hypothesis, it is found that:

a)

The null hypothesis is: H_0: \mu \leq 10

The alternative hypothesis is: H_1: \mu > 10

b)

The critical value is: t_c = 1.74

The decision rule is:

  • If t < 1.74, we <u>do not reject</u> the null hypothesis.
  • If t > 1.74, we <u>reject</u> the null hypothesis.

c)

Since t = 1.41 < 1.74, we <u>do not reject the null hypothesis</u>, that is, it cannot be concluded that the mean weight loss is of more than 10 pounds.

Item a:

At the null hypothesis, it is tested if the mean loss is of <u>at most 10 pounds</u>, that is:

H_0: \mu \leq 10

At the alternative hypothesis, it is tested if the mean loss is of <u>more than 10 pounds</u>, that is:

H_1: \mu > 10

Item b:

We are having a right-tailed test, as we are testing if the mean is more than a value, with a <u>significance level of 0.05</u> and 18 - 1 = <u>17 df.</u>

Hence, using a calculator for the t-distribution, the critical value is: t_c = 1.74.

Hence, the decision rule is:

  • If t < 1.74, we <u>do not reject</u> the null hypothesis.
  • If t > 1.74, we <u>reject</u> the null hypothesis.

Item c:

We have the <u>standard deviation for the sample</u>, hence the t-distribution is used. The test statistic is given by:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • s is the standard deviation of the sample.
  • n is the sample size.

For this problem, we have that:

\overline{x} = 10.8, \mu = 10, s = 2.4, n = 18

Thus, the value of the test statistic is:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{10.8 - 10}{\frac{2.4}{\sqrt{18}}}

t = 1.41

Since t = 1.41 < 1.74, we <u>do not reject the null hypothesis</u>, that is, it cannot be concluded that the mean weight loss is of more than 10 pounds.

A similar problem is given at brainly.com/question/25147864

3 0
2 years ago
What anime do you watch
BartSMP [9]

Answer:

Naruto

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
An amount of $25,000 is borrowed for 9 years at 9% interest, compounded annually. If the loan is paid in full at the end of that
Aleks04 [339]

Answer:

  $36,566

Step-by-step explanation:

"The calculator provided" will tell you the monthly payment is $338.57, so the 108 payments made over the period of 9 years will total ...

  108 × $338.57 = $36,565.56

Rounded to the nearest dollar, the amount is $36,566.

6 0
2 years ago
Find the area &amp; Explain
pochemuha

Answer:

D) 1188 in.^2

Step-by-step explanation:

33×36 is 1188, the triangle on the side doesn't matter because it can be used to make the rectangle a whole rectangle, which means that the only important numbers are 33 and 36 multiplied to find the area, which is 1188^2.

3 0
1 year ago
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