Josh Josh estimates the height of his desk what is the reasonable estimate

The company earned 292.5

Answer:

0.24

Explanatory steps:

These events can occur simultaneously, indicating they are not mutually exclusive.

For events A and B where mutual exclusivity does not apply,

P(A and B) = P(A) * P(B|A)

Let A represent the event of being "over 21 years old" and B represent the event of "consuming alcohol."

The likelihood of a student being over 21 years is 0.3, reflecting that 30% of the students are in that age range.

The probability that a student consumes alcohol given they are over 21 stands at 0.8.

This results in

P(A and B) = 0.3(0.8) = 0.24

To determine this, we will apply the simple interest formula:
where
signifies the total amount.
indicates the principal amount.
represents the interest rate in decimal.
denotes the time period in years.

Investment A. The initial investment amount is $10,000, so . The investment period is 5 years, meaning . To express the interest rate in decimal, divide it by 100%

Now, we can substitute these values into our formula to find :




Investment B. , , and .




In conclusion, investment A will yield a greater value than investment B at the investment period's conclusion.

Response:

2/9 = 0.22

Clarification:

There are two ways to select the first number that is odd and less than 5: 1 and 3.

For each of these, the second number drawn can be any of the values from 1 to 9, giving us a total of 18 options.

Out of these, the only pairs that result in a sum less than 5 are (1,1), (1,2), (1,3), and (3,1). Thus we have 4 combinations from the total of 18:

4/18 = 2/9 = 0.22

Answer:

Her age is 40 years

Step-by-step explanation:

Let Jerry's age be represented as j

Let Marjorie's age be denoted as m

The first part of the question states:

j = 4 + m/2

For the second equation:

m = 3j - 32

Multiply the first equation by 2 to get:

2j = 8 + m

Leading to m = 2j - 8

Set both equations for m equal to each other:

2j - 8 = 3j - 32

By simplifying, we get:

3j - 2j = 32 - 8

Therefore, j = 24

Now substituting back:

m = 2j - 8

m = 2(24) - 8

Thus, m = 48 - 8

Final result: m = 40