MATHEMATICS HIGH SCHOOL

Solve "P x 87 + 67 x 87 + (33 - P) x 87 = ?"

Answers

Answer 1

Answer: $P\cdot87+67\cdot87+(33-P)\cdot87=87\cdot(P+67+33-P)\n\n=87\cdot100=8700$

Answer 2

Answer:

Answer:

P x 87 + 67 x 87 + (33 - P) x 87=8700

Step-by-step explanation:

explanation in pdf

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The probability of a randomly selected employee of a company being male is 60%. The probability of the employee being less than 30 years old is 70%. If the probability of the employee being less than 30 years old given that the employee is a male is 40%, what is the probability that the employee is a male, given that the employee is less than 30 years old?Show your work.

Answers

By the definition of conditional probability,

$\mathbb P(<\text{30}|\text{male})=\frac{\mathbb P(<\text{30}\cap\text{male})}{\mathbb P(\text{male})}$

which means

$\frac{\mathbb P(<\text{30}\cap\text{male})}{0.6}=0.4\implies \mathbb P(<\text{30}\cap\text{male})=0.24$

This then means

$\mathbb P(\text{male}|<\text{30})=\frac{\mathbb P(\text{male}~\cap<\text{30})}{\mathbb P(<\text{30})}=(0.24)/(0.7)\approx0.34$

The probability of randomly selected employee shows the happening of that event. The probability that the employee is a male, given that the employee is less than 30 years old is 0.34.

What is Conditional probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The conditional probability is the happening of an event, when the probability of occurring of other event is given.

The probability of event A, given that the event B is occurred.

$P(A|B)=(P(A\cap B))/(P(B))$

Given information-

The probability of a randomly selected employee of a company being male is 60%.

The probability of the employee being less than 30 years old is 70%.

The probability of the employee being less than 30 years old (employee is a male) is 40%.

The probability that the employee is a male, given that the employee is less than 30 years old has to be find out.

As, the probability of a randomly selected employee of a company being male is 60% and the probability of the employee being less than 30 years old (employee is a male) is 40%.

Thus the probability of employee is less than 30 years old given that the employee is male is,

$P(<30|M)=0.4*0.6\nP(<30|M)=0.24\n$

As the probability of the employee being less than 30 years old is 70%. Thus, the probability that the employee is a male, given that the employee is less than 30 years old is,

$P(M|<30)=(0.24)/(0.7)\nP(M|<30)\cong0.34$

Hence the probability that the employee is a male, given that the employee is less than 30 years old is 0.34.

Learn more about the probability here;

brainly.com/question/24756209

Which expressions are equivalent to 5^3*5^x?

Answers

5^(3 + x) as when powers are multiplied you add the power

Which addition expression has the sum 8 – 3i ?

a. (9 + 2i) + (1 – i)

b. (9 + 4i) + (–1 – 7i)

c. (7 + 2i) + (1 – i)

d. (7 + 4i) + (–1 – 7i)

Answers

The correct answer is B. If you drop the parenthesis and collect like terms you get 8-3i.

Answer:B

Step-by-step explanation:

What is the value of the expression "eight more than three times the difference of four and a number" when n =3?
□44
□19
□17
□11

Answers

Answer:

Step-by-step explanation:

3 (4 - n) + 8

When n = 3:

3 (4 - 3) + 8

3 (1) + 8

3 + 8

Answer:

Step-by-step explanation:

(45 POINTS)

Answer the Question below:

Answers

Justification 1: Given

Justification 2: Distributive Property

Justification 3: Addition property of Order

Justification 4: Subtraction property of Order

Justification 5: Division Property of Order

Step-by-step explanation:

We need to solve the inequality and give reasons:

-2(x+6)<3(x+1)

Justification 1: Given

Applying distributive property by multiplying -2 and 3 with terms inside the bracket.

-2x-12<3x+3

Justification 2: Distributive Property

Adding 12 on both sides

-2x<3x+15

Justification 3: Addition property of Order

Subtract 3x on both sides

-5x<15

Justification 4: Subtraction property of Order

Divide both sides by -5 and reverse the inequality.

x>3

Justification 5: Division Property of Order

Keywords: Solving inequalities

Learn more about Solving inequalities at:

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Two rectangles are similar. One has a length of 14 cm and a width of 9 cm, and the other has a width of 3 cm. Find the length of the second rectangle. Round to the nearest tenth if necessary.A. 4.7 cm

B. 1.9 cm

C. 5.4 cm

D. 3.5 cm