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3 years ago

5/6 + 3/4 + 2/3 = ? What is the ?

Mathematics

1 answer:

inna [77]3 years ago

7 0

Answer:

1/2 + 2/3 + 5/4 = 29/12 = 2 5/12 ≅ 2.4166667

Step-by-step explanation:

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Jack is a college athlete who has been weighing himself weekly on the same scale in the athletic center for the past few years.

Radda [10]

Answer:

a) Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=\pm 1.64$

b) $\bar X \sim N(\mu ,\frac{\sigma}{\sqrt{n}})$

And the standard error is given by:

$SE = \frac{\sigma}{\sqrt{n}}=\frac{3}{\sqrt{9}}=1$

c) $\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And the margin of error is:

$ME= z_{\alpha/2} \frac{\sigma}{\sqrt{n}} = 1.64$

And then the confidence interval is be given by:

$200-1.64 = 198.36$

$200+1.64 = 201.64$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X= 200$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=3$ represent the population standard deviation

n=9 represent the sample size

Part a

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=\pm 1.64$

Part b

The distribution for the sample mean is given by:

$\bar X \sim N(\mu ,\frac{\sigma}{\sqrt{n}})$

And the standard error is given by:

$SE = \frac{\sigma}{\sqrt{n}}=\frac{3}{\sqrt{9}}=1$

Part c

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And the margin of error is:

$ME= z_{\alpha/2} \frac{\sigma}{\sqrt{n}} = 1.64$

And then the confidence interval is be given by:

$200-1.64 = 198.36$

$200+1.64 = 201.64$

8 0

3 years ago

Five less than twice a number is equivalent to 47

MAVERICK [17]

Answer:

2x - 5 = 47 is the expression .

x = 26

Step-by-step explanation:

4 0

3 years ago

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Jose has a board that is 44 inches long. He wishes to cut it into two pieces so that one piece will be 6 inches longer than the

sergiy2304 [10]

7.3 You divided the 44 by 6

7 0

3 years ago

Can you pls hrlp me on 16

Tpy6a [65]

It's the first one because at Jefferson middle there are 24 students to 1 teacher and all you know about Hamilton middle is 12 teachers to 312 students
24•12= 288
So Jefferson will have 12 teachers for 288 students

6 0

3 years ago

If e=9, find the value of 4e

denpristay [2]

Answer:

y = a e bx, b > 0

Step-by-step explanation:

took this test and got an A++

4 0

2 years ago

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