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3 years ago

Match each inequality with its solution set.

Mathematics

2 answers:

AleksandrR [38]3 years ago

7 0

Answer:

5x + 7 ≥ 17: Number 1

2x + 1 ≤ 3: Number 2

1 + 3x ≥ -5: Number 3

5 - 3x ≥ 11: Number 4

Step-by-step explanation:

I got this problem right awhile back..

Hope this helps!

Please mark Brainliest! :)

Dahasolnce [82]3 years ago

6 0

Answer:

step below

Step-by-step explanation:

5 - 3x ≥ 11 x≤ -2 ....4 (bottom)

1 + 3x ≥ -5 x≥ -2 ....3 (3rd level)

5x + 7 ≥ 17 x≥ 2 ....1 (top)

2x + 1 ≤ 3 x ≤ 1 ....2 (2nd level)

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ss7ja [257]

Answer:

Slope of (0,2) and (-8,-8): 5/4

Slope of (-8,-5) and (8,15): 5/4

Both slopes are 5/4

m = 5/4

Step-by-step explanation:

To find the slope:

1. Use the formula $m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ .

2. Assign point 1 and point 2

3. State (x₁ , y₁) and (x₂, y₂)

4. Substitute x₁ , y₁, x₂, and y₂ into the formula

5. Solve

Slope of (0,2) and (-8,-8):

Point 1: (0,2) x₁ = 0 y₁ = 2

Point 2: (-8,-8) x₂ = -8 y₂ = -8

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ Formula for slope

$m = \frac{-8-2}{-8-0}$ Substituted points

$m = \frac{-10}{-8}$ Simplified the subtraction then the negatives

$m = \frac{10}{8}$ Reduce fraction by dividing top and bottom by 2

$m = \frac{5}{4}$ First slope

Slope of (-8,-5) and (8,15):

Point 1: (-8,-5) x₁ = -8 y₁ = -5

Point 2: (8,15) x₂ = 8 y₂ = 15

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$m = \frac{15-(-5)}{8-(-8)}$ Substituted points

$m = \frac{15+5}{8+8}$ Simplified the subtraction into addition

$m = \frac{20}{16}$ Reduce fraction (divide top and bottom by 4)

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KengaRu [80]

Answer: 0.0062

Step-by-step explanation:

Given : Mean : $\mu=\ 31$

Standard deviation : $\sigma= 4$

Sample size : $n=100$

Assume that age of people in the country is normally distributed.

The formula to calculate the z-score :-

$z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

For x = 32

$z=\dfrac{32-31}{\dfrac{4}{\sqrt{100}}}=5$

The p-value = $P(x\geq32)=P(z\geq5)$

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Hence, the the probability that the average age of our sample is at least =0.0062

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Answer:

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