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ziro4ka [17]
3 years ago
9

mrs jackson has $90.She spends 1/4 pf her money on food 1/2 of the remainder on clothes and she saves the rest. How many does sh

e save?
Mathematics
1 answer:
rodikova [14]3 years ago
7 0

First you want to divide $90 by four. You want to take the answer and divide it by 2.

$90 / 4 = $22.5

22.5 / 2 = Mrs. Jackson saved $11.25.

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Answer:

A,B,D

Step-by-step explanation:

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2 years ago
Solve. Write the solution in interval notation. -2x>-8 and -5x<20.
Novosadov [1.4K]

Answer:

The interval notation of the solution is (-4 , 4)

Step-by-step explanation:

* Let us explain a very important point in solving inequality

- When you multiply or divide an inequality by negative number we

   must reverse the symbol of the inequality

- Ex:

∵ 2 < 3

- If we multiply the both sides of the inequality by -1, then the

  inequality will be -2 < -3 and this is completely wrong, so we must

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∴ -2 > -3

* Now let us solve the problem

∵ -2x > -8

- Divide both sides by -2 and remember to reverse the symbol of the

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∴ x < 4

∵ -5x < 20

- Divide both sides by -5 and remember to reverse the symbol of the

  inequality

∴ x > -4

- From both solutions

∴ -4 < x < 4

∴ The solution is {x : -4 < x < 4}

- Interval notation is a way of writing the solutions of inequalities

 ( , ) if x does not equal the end numbers

 [ , ] if x equals the end numbers

 [ , ) , ( , ] if x equals one of the two end numbers

* The interval notation of the solution is (-4 , 4)

4 0
3 years ago
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

#SPJ1

4 0
2 years ago
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3 years ago
QUESTION 94
sattari [20]

Answer: 34.3%

Step-by-step explanation:

Given:\ 12/35\ flights\ on\ time

To find the percent, divide then multiply by 100:

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4 0
2 years ago
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