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docker41 [41]
3 years ago
7

In a bolt factory, machines 1,2, and 3 respectively produce 20%, 30% and 50% of the total output. of their respective outputs 5%

, 3%, and 2% are defective. a bolt is selected at random.
a. What is the probability that is defective?
b. Given that is defective, what is the probability that it was made by machine 1?
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

Answer:

a. 1/10 or 10%

b. 1/2 or 50%

Step-by-step explanation:

Since the combination of machines 1, 2 and 3 produce 100% of the total output when added together, then the probability of choosing a bolt at random that is defective is: 5 + 2 + 3 = 10% out of 100% or 10/100, which is 1/10 or 10%.

If the bolt that is choosen at random is defective, than the probability that it came from machine 1 is 5/10 or 1/2 which is also 50%.

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Estimate a 20% tip on a dinner bill of $161.86 by first rounding the bill amount to the nearest ten dollars.
MAXImum [283]

Answer:

See below

Step-by-step explanation:

<u>If you just want the tip</u>

<u />0.20*161.86\approx\frac{1}{5}*160=32

<u>If you want the total bill</u>

<u />1.20*161.86\approx160+32=192

7 0
2 years ago
150 is 100% of what number?
andriy [413]

Answer:

150 is 100% of 150

Steps to solve "150 is 100 percent of what number?"

We have, 100% × x = 150

or,

100

100

× x = 150

Multiplying both sides by 100 and dividing both sides by 100,

we have x = 150 ×

100

100

x = 150

If you are using a calculator, simply enter 150×100÷100, which will give you the answer.

3 0
2 years ago
Jan uses 6 grams of tea leaves to make 24 fluid ounces of tea. Last week she made 288 fluid ounces of tea. How many grams of tea
Reil [10]
Hello!

288 / 24 = 12

6 * 12 = 72

Jan used 72 grams of tea leaves to make tea. 
4 0
3 years ago
Find the exact value of the trigonometric expression given that sin u = − 8 17 and cos v = − 24 25 . (Both u and v are in Quadra
Rashid [163]

Answer: sin u = -5/13 and cos v = -15/17

Step-by-step explanation:

The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.

So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),

==> adj of u = -12 therefore cos u = -12/13

Same argument for v: adj = -15,

opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17

The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)

I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.

3 0
2 years ago
1.)What is the only solution of 2x^2 + 8x = x^2 – 16?
Greeley [361]
If you would like to solve the equation 2 * x^2 + 8 * x = x^2 - 16, you can calculate this using the following steps:

<span>2 * x^2 + 8 * x = x^2 - 16
</span><span>2 * x^2 - x^2 + 8 * x + 16 = 0
</span>x^2 + 8 * x + 16 = 0
(x + 4) * (x + 4) = 0
x = - 4

<span>The correct result would be x = - 4.</span>
8 0
3 years ago
Read 2 more answers
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