The points (k, -8) and (8,0) fall on a line with a slope of 8. What is the value of k? k=

Mathematics

1 answer:

gregori [183]3 years ago

5 0

8 = (0 + 8) / (8 - k)
k = 7

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At a factory that produces pistons for cars, Machine 1 produced 174 satisfactory pistons and 116 unsatisfactory pistons today. M

m_a_m_a [10]

Answer:

$0.7$ is the probability that the piston chosen from Machine 1 is satisfactory and the piston chosen from Machine 2 is unsatisfactory

Step-by-step explanation:

The two events are independent of each other.

Hence the probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 is equal probability of choosing satisfactory piston from Machine 1 + probability of choosing unsatisfactory piston from Machine 2

Substituting the given values we get

Probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 = $\frac{174}{174 +116} + \frac{20}{180 +20}$

= $\frac{174}{174 +116} + \frac{20}{180 +20}$

= $= \frac{174}{290} + \frac{20}{200}\\= 0.6 + 0.1\\= 0.7$

5 0

3 years ago

-3(x + 9) = 15 Enter value for x

Crazy boy [7]

Answer:

x = -14

Step-by-step explanation:

-3(x + 9) = 15

Divide each side by -3.

-3(x + 9)/-3 = 15/-3
x + 9 = -5

Subtract 9 from each side.

x + 9 - 9 = -5 - 9
x = -14

6 0

2 years ago

Read 2 more answers

Which do you think is the best description of the area of the room? (circle your choice.)

nevsk [136]

My vote would be b. because generally when we are figuring area of a room, we are working with materials that are not exact and we usually round off .75 to the next foot. (I have experience in flooring!)

I am sure there are situations where you would want it to be exact however, such as using VERY expensive materials to cover.

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3 years ago

Select all the correct answers. Steve's doctor has advised him to take protein supplements. He bought two brands, Brand A and Br

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The three inequalities are ...

$5a+4b\geq 24\\4a+6b\geq 15\\7a+4b\geq 16$