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2 years ago

Find the coordinates of the point 7/10 of the way from A to B

Mathematics

1 answer:

OverLord2011 [107]2 years ago

7 0

Answer:

(6.8, 1.3)

Step-by-step explanation:

Given:

A(-3, -5), B(11, 4)

Find:

P such that AP/AB = 7/10

Solution:

Using the desired relation, we have ...

(P -A)/(B -A) = 7/10

10(P -A) = 7(B -A) . . . . . multiply by 10(B-A)

10P = 7B +3A . . . . . . . . add 10A to both sides

10P = 7(11, 4) +3(-3, -5) = (77 -9, 28 -15) = (68, 13)

P = (68, 13)/10 = (6.8, 1.3)

The point 7/10 of the way from A to B is (6.8, 1.3).

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A machine that produces ball bearings has initially been set so that the true average diameter of the bearings it produces is .5

Elodia [21]

Answer:

7.3% percentage of the bearings produced will not be acceptable.

Step-by-step explanation:

Consider the provided information.

Average diameter of the bearings it produces is .500 inches. A bearing is acceptable if its diameter is within .004 inches of this target value.

Let X is the normal random variable which represents the diameter of bearing.

Thus, 0.500-0.004<X<0.500+0.004

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Use the Z score formula: $\frac{X-\mu}{\sigma}$

Therefore

$\frac{0.496-0.499}{0.002}\leq z\leq \frac{0.504-0.499}{0.002}$

$\frac{-0.003}{0.002}\leq z\leq \frac{0.005}{0.002}$

$-1.5\leq z\leq 2.5$

Now use the standard normal table and determine the probability of that a ball bearing will be acceptable.

$P(-1.5\leq z\leq 2.5)=0.9938-0.0668=0.9270$

We need to find the percentage of the bearings produced will not be acceptable.

So subtract it from 1 as shown.

1-0.9270=0.073

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3 years ago

Given f(x)=-3x+4 , what is f(2) ?

user100 [1]

F(X) means plug in te number within the parenthesis for the given function. It's simply an equation expressed through different notation. In this case it asks you to plug in two, so you do:
-3(2)+4 = f(2)
That means that f(2)=-2.

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2 years ago

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Len [333]

Answer:

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2 years ago

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nexus9112 [7]

Answer:

Step-by-step explanation:

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