Victor borrowed 21.50 from his mother to go to the theater. a week later,he paid her 21.50 back. how much did he still owe her

Answer:

Overlapping events

Step-by-step explanation:

Note that in the question, it specifically specifies that there is only a number cube (or 1 number cube). Note that the two events asked for us to solve is does not conflict at all.

Event A is asking for the probability of you rolling a prime number (1 , 3 , 5), while Event B is asking for the probability of you rolling a number larger than 4 (5 , 6). These two can occur at the same time, and both events can be confirmed by rolling the number 5.

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Answer:

overlapping events

Step-by-step explanation:

Event A: Rolling a prime

The following are the prime numbers from 1 to 6 (inclusive):

2,3,5

Event B: Rolling a number larger than 4

The following are larger than 4 from 1 to 6 (inclusive):

5,6

Do you see any overlap?

The overlap is 5.

These are overlapping events.

It is because the first quadrants have positive values of x and y.

What are quadrants?

Quadrants are one-fourth of coordinate geometry and it is counted in an anticlockwise direction from the right top.

The angle of any quadrant is 90 degrees.

The only quadrant in which x and y both are positive is the first quadrant.

If we draw any figure in the first quadrants then it becomes easy to do any operation because of the positive values of x and y.

For example, if you want to measure distance then in the first quadrant it si positive but in the second or any other either x or y or both will be negative.

Hence "It is because the first quadrants have positive values of x and y".

To learn more about quadrants,

brainly.com/question/12455919

#SPJ2

Part A

w = width

L = length

L = w+8 since the length is 8 mm longer than the width

Answer:  w+8

====================================================

Part B

P = perimeter of rectangle

P = 2*(L+W) = 2L + 2W

We want the perimeter to be more than 32 mm, so we want P to be greater than 32

This means we write P > 32

Replace P with either 2(L+W) or 2L+2W. I'll pick 2L+2W

So we go from

P > 32

to

2L+2W > 32

After this, replace L with W+8 (refer to part A above)

We now have

2(W+8) + 2W > 32

Answer: 2(w+8) + 2w > 32

====================================================

Part C

Let's solve the inequality found in part B to get...

2(w+8) + 2w > 32

2w + 16 + 2w > 32

4w + 16 > 32

4w + 16-16 > 32-16 ....... subtracting 16 from both sides

4w > 16

4w/4 > 16/4 ......... dividing both sides by 4

w > 4

Answer: w > 4; The width of the rectangle must be larger than 4 mm

9 x 10^-4: Since the exponent of the scientific notation is negative −4, move the decimal point 4 places to the left. Answer: 0.0009

3 x 10^-10: Since the exponent of the scientific notation is negative −10, move the decimal point 10 places to the left. Answer: 0.0000000003

Subtract: C) 6 x 105