MATHEMATICS COLLEGE

What is the answer to -12=x+8divided by -3

Answers

Answer 1

Answer:

$- 12 = x + (8)/( - 3)$

$- 12 - ( (8)/( - 3) ) = x$

$- 12 - (8)/(3) = x$

$( - 36)/(3) - (8)/(3) = x$

$( - 36 - 8)/(3) = x$

$(44)/(3) = x$

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A local charity sponsors a 5K race to raise money. It receives $55 per race entry and $10,000 in donations, but it must spend $15 per race entry to cover the cost of the race. Write and solve an inequality to determine the number of race entries the charity needs to raise at least $55,000.
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Estimate the product 4x279

Answers

Answer:

116

Step-by-step explanation:

es 116 porque lo cheque

Which of the following statements could he use to prove his claim? select all that apply.

Answers

9514 1404 393

Answer:

B, D, E

Step-by-step explanation:

Any of the following will put rectangle 1 on top of rectangle 2:

reflection over the x-axis, translation right 7 units (B)
rotation 180° about the origin, translation right 1 unit (D)
reflection over the y-axis, translation right 1 and up 6 units (E)

The United Van Lines moving company has a truck filled for deliveries to five different sites. If the order of the deliveries is randomly selected, what is the probability that it is the shortest route?

Answers

Answer:

0.8333%

Step-by-step explanation:

Assuming that there is only one possible shortest route, the probability that a randomly selected route is given by one divided by the permutation of the order of five different sites:

$P=(1)/((5!)/((5-5)!))=(1)/(5*4*3*2*1)\n P=0.008333=0.8333\%$

There is a 1 in 120 chance, or 0.8333% chance that a randomly selected route is the shortest possible route.

A certain firm has plants a, b, and c producing respectively 35\%, 15\%, and 50\% of the total output. The probabilities of a nondefective product are, respectively, 0.75, 0.95, and 0.85. A customer receives a defective product. What is the probability that it came from plant c?

Answers

The proportion of production that is defective and from plant A is

... 0.35·0.25 = 0.0875

The proportion of production that is defective and from plant B is

... 0.15·0.05 = 0.0075

The proportion of production that is defective and from plant C is

... 0.50·0.15 = 0.075

Thus, the proportion of defective product that is from plant C is

... 0.075/(0.0875 +0.0075 +0.075) = 75/170 = 15/34 ≈ 44.12%

_____

P(C | defective) = P(C&defective)/P(defective)

Final answer:

The question required the use of Bayes' theorem to determine the probability of a defective product coming from plant c. Given the probabilities of defectiveness for each plant, the calculation indicated that there is approximately a 54.55% chance that a defective product came from plant c.

Explanation:

The problem described can be solved using Bayes' theorem, which is a principle in Probability that is used when we need to revise/or update the probabilities of events given new data. Since a defective product is received, and we need to determine the probability of it coming from plant c, we apply Bayes' theorem for the probability of events a, b, and c (representative of the products from the respective plants).

The Bayesian formula we will use, given the probabilities of a, b and c respectively and the probability of receiving a nondefective product from these plants, is: P(c|defective) = [P(defective|c) * P(c)] / [P(defective|a) * P(a) + P(defective|b) * P(b) + P(defective|c) * P(c)].

First, calculate the probability of a defective product from each plant (1 minus the probability of a nondefective product): these are 0.25 for plant a, 0.05 for plant b, and 0.15 for plant c.

Then substitute the values: P(c|defective) = [0.15 * 0.50] / [(0.25 * 0.35) + (0.05 * 0.15) + (0.15 * 0.5)] = 0.075 / 0.1375 = 0.5454545.

So, given a defective product, there is approximately a 54.55% chance that it was produced by plant c.

Learn more about Bayes' theorem here:

brainly.com/question/34293532

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A boat is being towed such that the tow line is at an angle of 30° with respect to the surface of the ocean. If the boat is towed with a force of 50 Newtons for 7,000 meters, approximately how much work is done?A. 152,000 Joules
B. 175,000 Joules
C. 303,000 Joules
D. 350,000 Joules

Answers

Answer:

C. 303,000 Joules

Step-by-step explanation:

1. use abcos(theta)

a=50

b=7000

theta=30 degrees

2. (50)(7000)cos(30)=303,000

Answer:

C: 303,000 Joules

Step-by-step explanation:

Edge 2020

Work out the percentage change to 2 decimal places when a price of £70 is increased to £99.

Answers

The percentage change in the price is 41.42%.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, a price of £70 is increased to £99.

Now, the difference is 99-70=29

Percentage increase is 29/70 ×100

= 0.4142×100

= 41.42%

Therefore, the percentage change in the price is 41.42%.

To learn more about the percentage visit:

brainly.com/question/24159063.

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Answer: Your answer is 41.43%

To calculate, it is simply (99-70)/70 x 100

which is equal to 41.43%