MATHEMATICS HIGH SCHOOL

Select the graph that represents the given set. (Click on the graph until the correct one is showing.) D = {(1, 1), (1, 2), (1, 3), (1, 4)}

Answers

Answer 1

Answer:

Answer: Vertical line x = 1

Step-by-step explanation:

(1, 1) (1, 2) (1, 3) (1, 4)

Notice that the x-value for each coordinate is 1.

The line is a vertical line (up & down) through x = 1

Answer 2

Answer:

Answer:

it's not an up and down line, the graph is a group dots (4 ones) that they are located on a vertical line

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Terry haas completed 15 homework problems, and susan has completed 9. Terry is completing 10 problems per hour, ans susan is completing 12 per hour. after how many hours will terry and susan have completed the same number of problems?

Answers

After 3 hours.
working;
after 3 hours, Terry will have completed 15 hours + 10*3 hours=45 tasks
Susan will have completed 9+ 12*3hours= 45 tasks

determine whether the given first-order differential equation is linear in the indicated dependent variable by matching it with the differential equation given in (7) in section 1.1, a1(x) dy dx a0(x)y

Answers

The given first-order differential equation is linear in the indicated dependent variable because it matches the standard form of a linear first-order differential equation, a1(x) dy/dx + a0(x)y = f(x).

First, let us review what a linear first-order differential equation is. Ais a differential equation that can be written in the form:

a1(x) dy/dx + a0(x)y = f(x)

Now, let us compare the given differential equation to the standard form of a linear first-order differential equation. The given differential equation is:

a1(x) dy/dx + a0(x)y

As we can see, the given differential equation matches the standard form of a linear first-order differential equation. Therefore, we can conclude that the given differential equation is linear in the indicated dependent variable.

In conclusion, the given first-order differential equation is linear in the indicated dependent variable because it matches the standard form of a linear first-order differential equation, a1(x) dy/dx + a0(x)y = f(x).

To know more about linear first-order differential equation, click the link below :

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What is the monthly paycheck of an office manager whose salary is $57,000 per year

Answers

The answer to that question is $4,750

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;

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Each histogram represents a set of data with a median of 29.5. Which set of data most likely has a mean that is closest to 29.5?

Answers

Answer: B

Step-by-step explanation:

The mean and median will be close or the same when the graph is symmetrical

Answer: 30

Step-by-step explanation:

Doris put $4000 in a 5year CD paying 6% interest compounded monthly. After 2 years, she withdrew all her money, and as an early withdrawal penalty, she paid back all the interest she made during the first year. How much money was Doris left with? Show your work.