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3 years ago

What's the difference between 1261⁄4 and 78 2⁄3?

1 answer:

5 0

<span>So we want to know the difference between a= 126 1/4 and b= 78 2/3. Lets turn them into a fraction: a = 124*4 + 1/4 = 496/4 + 1/4 = 495/4. b= 78*3 + 2/3 = 234/3 + 2/3 = 236/3. Now we find the common denominator of a and b: and that is 12. so lets multiply a by 3/3 and b by 4/4: (495/4)*(3/3)=1485/12. (236/3)*(4/4)=944/12. Now the difference is: 1485/12 - 944/12=541/12 and that is: 45 1/12 </span>

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How do I estimate 542,817

ioda

Answer:

Step-by-step explanation:

Much depends on how accurate an estimate you want.

If "to the nearest hundred" would be acceptable (it's a lot of work),

Round off 542817 to 542820 and 27398 to 2740. Then you'd want to subtract 2740 from 542820. (Again, it's a lot of work.)

Otherwise round off to the nearest thousand: 543000 - 27000.

Or go to the nearest ten thousand: 540,000 - 30,000 = 510,000 (estimate)

4 0

3 years ago

A random sample of 21 observations is used to estimate the population mean. The sample mean and the sample standard deviation ar

stepladder [879]

Answer:

a. CI=[128.79,146.41]

b. CI=[122.81,152.39]

c. As the confidence level increases, the interval becomes wider.

Step-by-step explanation:

a. -Given the sample mean is 137.6 and the standard deviation is 20.60.

-The confidence intervals can be constructed using the formula;

$\bar X\pm \ z\frac{s}{\sqrt{n}},$

where:

$s$ is the sample standard deviation
$z$ is the s value of the desired confidence interval

we then calculate our confidence interval as:

$\bar X\pm z\frac{s}{\sqrt{n}}\\\\=137.60\pm z_{0.05/2}\times\frac{20.60}{\sqrt{21}}\\\\=137.60\pm1.960\times \frac{20.60}{\sqrt{21}}\\\\=137.60\pm8.8108\\\\\\=[128.789,146.411]$

Hence, the 95% confidence interval is between 128.79 and 146.41

b. -Given the sample mean is 137.6 and the standard deviation is 20.60.

-The confidence intervals can be constructed using the formula in a above;

$\bar X\pm z\frac{s}{\sqrt{n}}\\\\=137.60\pm z_{0.01/2}\times\frac{20.60}{\sqrt{21}}\\\\=137.60\pm3.291\times \frac{20.60}{\sqrt{21}}\\\\=137.60\pm 14.7940\\\\\\=[122.806,152.394]$

Hence, the variable's 99% confidence interval is between 122.81 and 152.39

c. -Increasing the confidence has an increasing effect on the margin of error.

-Since, the sample size is particularly small, a wider confidence interval is necessary to increase the margin of error.

-The 99% Confidence interval is the most appropriate to use in such a case.

7 0

4 years ago

Ms, Garza opened an account with a deposit of $5,000. The account earned annual simple interest. She did not make any additional

vfiekz [6]

Your answer is going to 7.5%

3 0

3 years ago

Suppose Raj receives a raise for his hard work and now earns $6.25 per hour how many hours would he need to work to earn $132?

shutvik [7]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

If x=7 then which answers would I circle? A. X + 7 = 17 b. 7 = 17 - x c. 70 = 10x d. X/35 = 5 e. 15x = 105

disa [49]

Answer:

C. 70 = 10x

E. 15x = 105

Step-by-step explanation:

x = 7

Using method of elimination;

A. X + 7 = 17

Substituting the value of x;

7 + 7 ≠ 17 (Incorrect option)

B. 7 = 17 - x

Substituting the value of x;

7 ≠ 17 - 7 (Incorrect option)

C. 70 = 10x

Substituting the value of x;

70 = 10 * 7 (Correct option)

D. X/35 = 5

Substituting the value of x;

7 / 35 ≠ 5 (Incorrect option)

E. 15x = 105

Substituting the value of x;

15 * 7 = 105 (Correct option)

8 0

3 years ago