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3 years ago

If 11x - 7= 2, then x=

Mathematics

1 answer:

Alexxx [7]3 years ago

6 0

X = 0.818181818181818.

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A sports news station wanted to know whether people who live in the North or the South are bigger sports fans. For its study, 17

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

Marcelo can select from 2 types of oranges and 3 types of peaches. If he randomly selects 1 orange and 1 peach, how many possibl

ICE Princess25 [194]

6

2x3=6

oranges-
peaches-

possible combination:
1-

2-

3-

4-

5-

6-

8 0

3 years ago

How to write 8% sales tax as a decimal?

sergejj [24]

Answer:

0.08

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is “One third of the opposite of a number is less than 12?”

nirvana33 [79]

Answer:

$\frac{1}{3}(-x)$ <12

4 0

3 years ago

Find the volume of this cylinder.

Lina20 [59]

Answer:

The answer is 3418.1 ft rounded to the nearest tenth.

Step-by-step explanation:

The total volume of the cylinder can be defined by the Area of circular base * Perpendicular height.

The area of the circular base can be calculated as

$\pi \times {r}^{2}$

where r is the radius of the circular base, which is 8 ft.

The area of the circular base is

$\pi \times {8}^{2} = 64\pi$

We also know the height of the cylinder is 17 ft.

Hence, the volume of the cylinder is

$64\pi \times 17 = 1088\pi = 3418.0528...$

This will be rounded up to 3418.1 with the nearest tenth

8 0

3 years ago