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3 years ago

What is the slope of the line through (-9,6) and (-6,-9)

1 answer:

7 0

$\text{The slope formula:}\ m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{We have:}\\(-9;\ 6)\to x_1=-9;\ y_1=6\\(-6;\ -9)\to x_2=-6;\ y_2=-9\\\\\text{substitute:}\\\\m=\dfrac{-9-6}{-6-(-9)}=\dfrac{-15}{-6+9}=\dfrac{-15}{3}=-5$

Answer: m = -5

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Greg pulls two coins out of his pocket randomly without replacement. If his pocket contains one nickel, one dime, and one quarte

Verdich [7]

I believe the probability would be 2/3

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3 years ago

Fred has a job that pays him $2,000 a month after taxes. His rent is $500, Car insurance is $100 and his utilities are $200 per

maw [93]

Answer:

The remainder is 1000, he should save half of it and the other half use it for his tax payment.

Step-by-step explanation:

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3 years ago

Specifications for an aircraft bolt require that the ultimate tensile strength be at least 18 kN. It is known that 10% of the bo

Darina [25.2K]

Answer:

Mean strength is 18.94 and your standard deviation is 0.5.

So the proportion of bolts that meet the specifications is 97%.

Step-by-step explanation:

First of all determine the z- scores of these points.There are 10% of bolts with a strength less than 18.3 kN and this normally distributed you can use chart or calculator to calculate z-score. As i have 5% then z-score is -1.28.Then check the other 19.76kN then find that it has a z-score of 1.64.

To check the difference subtract 19.76 and 18.3 then you get 1.46.

Subtract z-scores 1.64 - (-1.28) = 2.92

Then standard deviation is 1.46/2.92 = 0.50

mean of the bolts is obtained by adding 1.28 *0.5 = 0.64 to 18.3 then

subtract 1.64 *0.5 = 0.82 to 19.76

Then mean is 18.94

Mean strength is 18.94 and your standard deviation is 0.5.

For strength specification. First, we find the z-score for this value:

(18-18.94)/0.5=-1.88

the probability of a bolt being made stronger than this z-score.It is approximately 0.97.

So the proportion of bolts that meet the specifications is 97%. .

3 0

3 years ago

Describe how to locate the point (3, –1).

dedylja [7]

a since 3 is positive and one is negative

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3 years ago

Read 2 more answers

A factory makes 750 cakes every day. The cakes are orange cakes or lemon cakes. Each day Aadil takes a sample of 25 cakes to che

pochemuha

<h2><em><u>Answer:</u></em></h2>

A) 210

B) 0.18

<h2><u><em>Step-by-step explanation:</em></u></h2>

A) On Monday, 7/25 of the 750 are orange cakes. 7/25 x 750 = 210

B) If the proportion of orange cakes is 5/25 where 5 is correct to the nearest whole number, then the 4.5 would be the lowest number that would still be rounded up to 5. 4.5/25 = 0.18

8 0

3 years ago