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4 years ago

Which equations for the measures of the unknown

Mathematics

1 answer:

vazorg [7]4 years ago

5 0

I took this test before it’s most likely D

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5(2x-6)-4(x-7) simplify

Inga [223]

5(2x-6)-4(x-7)

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10x - 30 -4x+28

combine like terms

6x-2

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4 years ago

How many tons are equal to 40,000 pounds?

ipn [44]

A ton is 2,000 pounds. So 40,000 pounds would be 20 tonnes.

4 0

3 years ago

Read 2 more answers

In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0

uysha [10]

Answer:

a) A response of 8.9 represents the 92nd percentile.

b) A response of 6.6 represents the 62nd percentile.

c) A response of 4.4 represents the first quartile.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5.9

Standard Deviation, σ = 2.2

We assume that the distribution of response is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) We have to find the value of x such that the probability is 0.92

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.92$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 1.405\\x = 8.991 \approx 8.9$

A response of 8.9 represents the 92nd percentile.

b) We have to find the value of x such that the probability is 0.62

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.62$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 0.305\\x = 6.571 \approx 6.6$

A response of 6.6 represents the 62nd percentile.

c) We have to find the value of x such that the probability is 0.25

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.25$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = -0.674\\x = 4.4172 \approx 4.4$

A response of 4.4 represents the first quartile.

4 0

4 years ago

12 + m < -6 how many solutions

kodGreya [7K]

Answer:

m<−18

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

m+12<−6

Step 2: Subtract 12 from both sides.

m+12−12<−6−12

m<−18

8 0

3 years ago

Find the area of kite ABCD *

Agata [3.3K]

Answer:

36 sq cm

Step-by-step explanation:

area of kite = diagonal1 * diagonal2/2

area = 18 cm * 4 cm / 2

area = 72 sq cm/2

area = 36 sq cm

7 0

3 years ago