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nalin [4]
3 years ago
10

Suppose there is a 20% chance that revenue will exceed expectations, a 10% chance that costs will be lower than expected, and a

25% chance that the number of defective parts will be lower than expected. Assume that all variables are statistically independent. What is the chance that all 3 favorable outcomes occur together?
Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0

Answer:

The chance that all 3 favorable outcomes occur together is 0.005

Step-by-step explanation:

When two events are independent, the probability of both occurring is the product of the probabilities of the individual events. More formally, if events A and B are independent, then the probability of both A and B occurring is:

P(A and B) = P(A) x P(B)

In this case,

P(A) =P(revenue will exceed expectations)=20%

P(B) = P(costs will be lower than expected)= 10%

P(C)= P(number of defective parts will be lower than expected)=25%

P(A and B and C) = P(A) x P(B) x P(C)

P(A and B and C) = 0.20x0.10x0.25=0.005

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A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥
gregori [183]

Answer:

B) (35, 260)

Step-by-step explanation:

A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥ 1∕5w2, where d is dosage in milligrams and w is the dog's weight in pounds. Which of the following ordered pairs gives an effective dosage of antibiotics for a 35-pound dog?

A) (35, 240)

B) (35, 260)

C) (260, 35)

D) (240, 35)

Ordered pairs is composed of pairs, usually an x coordinate and a y coordinate. It refers to a location of a point on the coordinate. It matches numbers to functions or relations.

Given the relation between d is dosage in milligrams and w is the dog's weight in pounds as d ≥ 1∕5w²

For a 35 pound dog (i.e w = 35 pound). The dosage is given as:

d ≥ 1∕5(35)² ≥ 245 milligrams.

For an ordered pair (x, y), x is the independent variable (input) and y is the dependent variable (output).

The dog weight is the independent variable and the dosage is the dependent variable.

From the ordered pairs, the best option is (35, 260) because 260 ≥ 240

6 0
3 years ago
A surveyor measures a road as being 69.3km long, however there is a 1℅ error in this measurement .What is the true length of the
Vaselesa [24]

Answer:

69.993

Step-by-step explanation:

Using the percentage error formula:

Percentage error = (true - measured value / true measurement ) * 100%

1% error in measurement

1% of 69.3

0.01 * 69.3 = 0.693

True measurement = error in measurement + measured value

True measurement = 0.693 + 69.3

Actual measurement = 69.993

Hence, actual measurement = 69.993.

5 0
2 years ago
the metro theater has 20 rows of seats with 18 seats I each row. Ticket cost $5. the theater's income in dollars if all seat are
Mumz [18]
500 IS THE ANSWER XD

7 0
3 years ago
Two bowls of pasta at a resaurant serve 3 people how many bowls of pasta should be ordered for 12 people
MrRa [10]
4 bowls of pasta would be served for twelve people.

4×3=12
3 0
3 years ago
Read 2 more answers
Please help work this out
BigorU [14]

Answer:

Area=190.091 cm^2

Step-by-step explanation:

Area = 1/2(Pi x r^2)    one-half because it's a semi-circle

Area=1/2(3.14 x 11^2)

11^2=121 so, Area=1/2(3.14 x 121)

Area=1/2(379.94)

Area=189.97 cm^2

adjustment:

Area=1/2(3.142 x 11^2)

Area=1/2(3.142 x 121)

Area=1/2(380.182)

Area=190.091

5 0
3 years ago
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