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My name is Ann [436]
3 years ago
12

Absolute value of |x|-2=5

Mathematics
1 answer:
Stells [14]3 years ago
7 0

Answer:

x = ± 7

|-7|-2=5

|7|-2=5

± means positive or negative

Step-by-step explanation:

|x|-2=5

Get x by itself by adding 2 to both sides.

x - 2 + 2= 5 + 2

-2 + 2 cancels out

x = 5 + 2

x = 7

Absolute value is how far a number is from 0.

x can be either positive or negative.

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X+7≥18<br> The solution is ??
frozen [14]

Answer:

x \geq 11

Step-by-step explanation:

x+7 \geq 18

x \geq 18-7

x \geq 11

5 0
3 years ago
Read 2 more answers
5. The superintendent of the local school district claims that the children in her district are brighter, on average, than the g
anygoal [31]

Answer:

We conclude that children in district are brighter, on average, than the general population.

Step-by-step explanation:

We are given the following data set:

105, 109, 115, 112, 124, 115, 103, 110, 125, 99

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1117}{10} = 111.7

Sum of squares of differences = 642.1

S.D = \sqrt{\frac{642.1}{49}} = 8.44

We are given the following in the question:  

Population mean, μ = 106

Sample mean, \bar{x} = 111.7

Sample size, n = 10

Alpha, α = 0.05

Sample standard deviation, s = 8.44

First, we design the null and the alternate hypothesis

H_{0}: \mu = 106\\H_A: \mu > 106

We use one-tailed(right) t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{111.7 - 106}{\frac{8.44}{\sqrt{10}} } = 2.135

Now,

t_{critical} \text{ at 0.05 level of significance, 9 degree of freedom } = 1.833

Since,                  

t_{stat} > t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

We conclude that children in district are brighter, on average, than the general population.

4 0
3 years ago
Im dumb so help me out here 50 points each Click on the image to enlarge
antiseptic1488 [7]

Answer:

D

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, that is

∠ 1 + ∠ 2 + ∠ 3 = 180°

Given ∠ 1 + ∠ 2 = 134°, then

134° + ∠ 3 = 180° ( subtract 134° from 180° )

∠ 3 = 46° → D

8 0
3 years ago
A pet store advertises
nikklg [1K]

Answer:

the answer is 1.99 I think im not sure I guessed

Step-by-step explanation:

5 0
3 years ago
A line segment is part of a line, true or false?
11Alexandr11 [23.1K]

Answer:

geometry ?

Step-by-step explanation:

If so I gotchu this is my subject

7 0
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