the sum of two numbers is -4 and their difference is -10. find the numbers. (translate to a system of equations and solve)

Use the following problem to answer questions 8 and 9. A television manufacturer has three locations where it is finally assembl

Nonamiya [84]

Answer:

The probability of finding a non-defective television is 0.9815.

Step-by-step explanation:

We are given that a television manufacturer has three locations where it is finally assembled. Plants A, B, and C supply 65%, 15%, and 20% respectively of the televisions used by the manufacture.

Quality control has determined that 1.5% produced by Plant A are defective, while plants B and C have 2.5% defective products.

Let Probability that Plant A supply televisions = P(A) = 0.65

Probability that Plant B supply televisions = P(B) = 0.15

Probability that Plant C supply televisions = P(C) = 0.20

Also, let D = event that television is defective

Probability that television is defective given that it is supplied by Plant A = P(D/A) = 0.015

Probability that television is defective given that it is supplied by Plant B = P(D/B) = 0.025

Probability that television is defective given that it is supplied by Plant C = P(D/C) = 0.025

Now, to find the probability of finding a non-defective television firstly we will find the probability of a defective television.

Probability of a defective television is given by;

= P(A) $\times$ P(D/A) + P(B) $\times$ P(D/B) + P(C) $\times$ P(D/C)

= 0.65 $\times$ 0.015 + 0.15 $\times$ 0.025 + 0.20 $\times$ 0.025

= 0.00975 + 0.00375 + 0.005

= 0.0185

Now, probability of finding a non-defective television = 1 - Probability of a defective television

Probability of finding a non-defective television = 1 - 0.0185

= 0.9815

Therefore, the probability of finding a non-defective television is 98.15%.

8 0

3 years ago

1. m+ 10< 16

sleet_krkn [62]

Answer:

$1.\ m$

Step-by-step explanation:

1. Subtract 10 from both sides. Then:

$m+ 10< 16\\ m+ 10-10< 16-10\\m$

2. Divide both sides by -2. Notice that the direction of the symbol of the inequality will change. Then:

$-2g\geq8\\\\\frac{-2g}{-2}\geq\frac{8}{-2}\\\\g\leq-4$

3. Add 22 to both sides. Then:

$y-22< 19\\ y-22+22$

4. Divide both sides by -7. Notice that the direction of the symbol of the inequality will change. Then:

$-7b>-28\\\\\frac{-7b}{-7}>\frac{-28}{-7}\\\\b$

5. Subtract 30 from both sides. Then:

$h+30$

6. Divide both sides by -5. Notice that the direction of the symbol of the inequality will change. Then:

$-5x$

7. Subtract 13 from both sides. Then:

$t+13>22\\ t+13-13>22-13\\t>9$

8. Add 12 to both sides. Then:

$w-12< 16\\ w-12+12$

7 0

3 years ago

Erica sells bracelets for $2 each. The supplies to make each bracelet costs her $0.75. Let “n” represent the number of bracelet

AysviL [449]

Answer: 1.25n

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Explanation:

Erica sells bracelets for $2 each. If she makes and sells n of them, then she gets 2n dollars of revenue.

Making n bracelets cost her a total of 0.75n dollars because each bracelet costs 0.75 dollars, or 75 cents.

Subtract the revenue and cost to get the profit

profit = revenue - cost

profit = 2n - 0.75n

profit = (2-0.75)n

profit = 1.25n

The expression 1.25n means that she earns $1.25 in profit per bracelet sold.

3 0

3 years ago

A recipe requires 2 eggs 500 grams of flour and two teaspoons of salt how many eggs are needed if you use 2 kg of flour?

Andre45 [30]

The explanation is here

5 0

2 years ago

What is the ratio of 7/8

ch4aika [34]

Answer:

86.5%

Step-by-step explanation:

6 0

2 years ago