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masya89 [10]
3 years ago
11

Estimate the answer by rounding each fraction to the nearest whole number and then subtracting.

Mathematics
2 answers:
erastovalidia [21]3 years ago
4 0

Answer:

27

Step-by-step explanation: 58 and 5/12 rounds down to 58, 30 and 5/7 rounds up to 31. 58-31= 27

Nadya [2.5K]3 years ago
3 0
It’s 27. 58 and 5/12 rounds down to 58, 30 and 5/7 rounds up to 31. 58-31= 27
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Free_Kalibri [48]

Using the z-distribution, it is found that the 95% confidence interval for the difference is (-1.3, -0.7).

<h3>What are the mean and the standard error for each sample?</h3>

Considering the data given:

\mu_S = 3.8, n = 175, s_S = \frac{1.7}{\sqrt{175}} = 0.1285

\mu_N = 4.8, n = 152, s_N = \frac{1.2}{\sqrt{152}} = 0.0973

<h3>What is the mean and the standard error for the distribution of differences?</h3>

The mean is the subtraction of the means, hence:

\overline{x} = \mu_S - \mu_N = 3.8 - 4.8 = -1

The standard error is the square root of the sum of the variances of each sample, hence:

s = \sqrt{s_S^2 + s_N^2} = \sqrt{0.1285^2 + 0.0973^2} = 0.1612

<h3>What is the confidence interval?</h3>

It is given by:

\overline{x} \pm zs

We have a 95% confidence interval, hence the critical value is of z = 1.96.

Then, the bounds of the interval are given as follows:

  • \overline{x} - zs = -1 - 1.96(0.1612) = -1.3
  • \overline{x} + zs = -1 + 1.96(0.1612) = -0.7

More can be learned about the z-distribution at brainly.com/question/25890103

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4 0
2 years ago
Anybody know the answer?
maksim [4K]

x is 3pi/4 and 7pi/4

Type in correctly

8 0
3 years ago
The value of a dirt bike decreases by 15% each year. If you purchased this dirt bike today for $500, to the nearest dollar how m
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6 0
3 years ago
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Length of a rectangular prism is increased by factor of 1.5. The width is doubled and height is tripled. What is the new volume?
dimulka [17.4K]

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Step-by-step explanation:

Let the length, width and height of the rectangular prism be 'l' 'w' and 'h'.

The volume of the rectangular prism is given by,

V = W x l x h

The original volume of the rectangular prism is,

V = wlh

Here the length is 1.5 the original length

So, l = 1.5 x l = (1.5l)

And the with is doubled. So,

W = 2W

The height is tripled. So,

h = 3h

Volume of the new rectangular prism is,

V = (1.5l) (2w) (3h)

V = 9 wlh

We know that wlh is the original volume of the rectangular prism.

So the new volume is 9 times the original volume.

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3 years ago
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Answer:

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Step-by-step explanation:

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