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3 years ago

What is the line's slope?

Mathematics

2 answers:

TiliK225 [7]3 years ago

7 0

Answer:

-1/3

Step-by-step explanation:

NNADVOKAT [17]3 years ago

3 0

Answer:

$m=\frac{-1}{3}$

Step-by-step explanation:

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>:

Points (0, -1) and (-3, 0)

$m=\frac{0-(-1)}{-3-0}$

$m=\frac{0+1}{-3}$

$m=\frac{1}{-3}$

$m=\frac{-1}{3}$

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A plant manufactures part whose lengths are normally distributed with a mean of 16.3 centimeters and a standard deviation of 2.5

EastWind [94]

The probability that the plant manufactures a part between 10.8 and 12.8 centimeters 13%

<h3>How to find the probability that the part is between 10.8 and 12.8 centimeters</h3>

The probability is solved z scores, this measures the amount of standard deviation sample X is from mean. the formula is below

z = (X - μ) / σ

<u>Definition of variables</u>

mean, μ = 16.3 centimeters

standard deviation, σ = 2.5 centimeters

X = 10.8 and 12.8 centimeters

z score, z

substituting into the formula

for X = 12.8 centimeters

= (X - μ) / σ

= (12.8 - 16.3) / 2.5

= -1.4

the p value for z of -1.4 = 0.161513

for X = 10.8 centimeters

= (X - μ) / σ

= (10.8 - 16.3) / 2.5

= -2.2

the p value for z of -2.2 = 0.027807

the probability is calculated as below

0.161513 - 0.027807= 0.133706

= 0.13

=13%

Learn more about standard deviation at:

brainly.com/question/28948351

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1 year ago

Which way will the parabola open? Explain.

Marizza181 [45]

Our parabola open downward and therefore a is negative.

Explanation:
As value of a changes from positive to negative or from negative to positive, the direction of opening changes. For negative values of a we got negative parabolas that open downward. As the original formula y = x^2 we see that x^2 will always be positive because when you square a number it always gives positive value. Therefore the direction for which it will open, depends on value of a.

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2 years ago

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liubo4ka [24]

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Step-by-step explanation:

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3 years ago

The grade point averages of a large population of college students are approximately normally distributed with a mean of 2.4 and

ivanzaharov [21]

Answer:

0.2266

Step-by-step explanation:

We know that the grade point averages of a large population of college students are approximately normally distributed with a mean of 2.4 and a standard deviation of 0.8. The z-score related to 3.0 is computed as (3.0-2.4)/0.8 = 0.75. Therefore the probability that a randomly selected student will have a grade point average in excess of 3.0 is P(Z > 0.75) where Z comes from a standard normal distribution. So, P(Z > 0.75) = 0.2266

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3 years ago

Find the value of the variable. Leave in simplest radical form.

Mademuasel [1]

If the hypotenuse is equal to 11, then we can plug it into the Pythagorean theorem. So we get a^2+x^2=121. So we take the square root of both sides, sqrt(a^2+x^2)=11. So we take a^2 and x^2 out of the square root. We get a+x=11. So now we have two equations, a+x=11 and a^2+x^2=121. I’ll leave the rest of solving equations to you.

Hint: a=11-x
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3 years ago