<h3>Given</h3>
- room height is x feet
- room length is 3x feet
- room width is 3x feet
- a door 3 ft wide by 7 ft tall
<h3>Find</h3>
- The net area of the wall, excluding the door
<h3>Solution</h3>
The area of the wall, including the door, is the room perimeter multiplied by the height of the room. The room perimeter is the sum of the lengths of the four walls.
... gross wall area = (3x +3x +3x +3x)·x = 12x²
The area of the door is the product of its height and width.
... door area = (7 t)×(3 ft) = 21 ft²
Then the net wall area, exclusive of the door is ...
... net wall area = gross wall area - door area
... net wall area = 12x² -21 . . . . square feet
Answer:
Explanation:
The general formula to calculate the probability of each event is:
- Probability = number of positive (desired) outcomes / number of total outcomes
Number of apples = 4
Number of peaches = 5
Number of fruits = 9
Since the three times you return the radomly selected fruit, and then mix it, the three times the probability is not affected by the previous selection; so, these are independent events, and you can calculate the probability of the joint event as the product of the probabilities of each individual event.
Probability of getting an apple = number of apples / number of fruits = 4 / 9
Probability of getting a peach = number of peaches / number of fruits = 5 / 9
<u />
Probability of getting a peach = number of peaches / number of fruits = 5 /9
- <u>Joint probability:</u>
= (4/9) × (5/9) × (5/9) = (4 × 5 × 5) / (9 × 9 × 9) = 100 / 729
W=6 hopefully I helped!:)
Answer:
2-2 = 0
Step-by-step explanation:
she has no apples left.
Numbers are -29 and -24.
<u>Step-by-step explanation:</u>
Step 1:
Given the sum of 2 numbers is -53 and their difference is -5. Let the numbers be x and y.
Step 2:
Form equations based on the given data.
⇒ x + y = -53 ------ (1)
⇒ x - y = -5 --------- (2)
Subtract (2) from (1) ⇒ 2x = - 58 ⇒ x = -29
Step 3:
Find the value of y.
⇒ y = -53 -x = -53 + 29 = -24