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Aleksandr [31]
3 years ago
8

What is the slope of the line represented by the equation

Mathematics
2 answers:
motikmotik3 years ago
6 0

Answer:

The slope is -2/3

Step-by-step explanation:

2x+3y= - 12

Rewrite the equation in slope intercept form

y = mx+b  where m is the slope and b is the y intercep

Subtract 2x from each side

2x+3y -2x = -2x-12

3y = -2x-12

Divide by 3

3y/3 = -2/3 x -12/3

y = -2/3x -4

The slope is -2/3

Art [367]3 years ago
4 0

Answer:

C).

Step-by-step explanation:

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In 2017, the entire fleet of light‑duty vehicles sold in the United States by each manufacturer must emit an average of no more
pogonyaev

Answer:

0.6915

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 88, \sigma = 4[/ex]What is the probability that a single car of this model emits more than 86 mg/mi of NOX + NMOG?This is 1 subtracted by the pvalue of Z when X = 86. So[tex]Z = \frac{X - \mu}{\sigma}

Z = \frac{86 - 88}{4}

Z = -0.5

Z = -0.5 has a pvalue of 0.3085

1 - 0.3085 = 0.6915

The answer is 0.6915

5 0
3 years ago
Evaluate the expression if a = 2, b = −3, c = −4, h = 6, y = 4, and z = −1. <br><br><br> |2b−3y||+5z
lara [203]

Answer:

-23

Step-by-step explanation:

7 0
2 years ago
70% of a number is 98.
Reika [66]
Let 70% of X = 98

70%.x = 98

(70/100).x = 98

0,7x = 98

x = 98/0,7

x = 140


Then, 90%x = 90%.140

= 0,9.(140)

= 126

The answer to this question is Letter D)


I hope this has helped.
7 0
3 years ago
Read 2 more answers
For a fixed amount of a gas at a constant temperature, the volume of the gas is inversely proportional to its pressure. At a pre
Veronika [31]

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

Let

x-------> the pressure in PSI

y------> the volume of the gas in cubic inches

In this problem we have the point (30,600)

so

x=30\ psi\\y=600\ in^{3}

Find the constant k

y*x=k

substitute the values of x and y

600*30=k

k=18,000\ lb*in

the equation is

y=18,000/x

therefore

<u>the answer is</u>

y=18,000/x

4 0
3 years ago
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Which of these choices show a pair of equivalent expression? Check all that apply.
padilas [110]

Answer:

C and D

Step-by-step explanation:

using the rules of exponents

A

125^{3/7} = \sqrt[7]{125^3} ≠ \sqrt[3]{125^7}

B

(\sqrt{12})^7 = 12^{7/2} ≠ 12^{1/7}

C

(\sqrt{4})^5 = 4^{5/2} ← correct

D

(\sqrt{8})^9 = 8^{9/2} ← correct


8 0
3 years ago
Read 2 more answers
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