Answer: The number is 14
Step-by-step explanation:
A number is increased by 20: (X + 20)
Then doubled: 2(X + 20)
5 times the number: 5X
2 less than 5 times the number: 5X - 2
Setting the bold statements equal: 2(X+20) = 5X - 2
Distribute left side: 2X + 40 = 5X - 2
Move X's: 40 = 3X - 2
Move numbers: 42 = 3X
Divide both sides by 3: X = 14
Answer:
Yes, she has enough paint, since she does not need to paint the window. The area that needs to be painted is only 87 ft², and she has enough paint for 90 ft².
Step-by-step explanation:
Area of the wall (including window)
= 12 x 8
= 96 ft²
Area of the window
= 3 x 3
= 9 ft²
Area of the wall that needs to be covered with paint
= 96 - 9
= 87 ft²
Answer:
-18a^8
Step-by-step explanation:
Answer: The required probability that a randomly selected day in November will be snowy if it is cloudy is 86.79%.
Step-by-step explanation: Given that for the month of November in a certain city, 53% of the days are cloudy. Also in the month of November in the same city, 46% of the days are cloudy and snowy.
We are to find the probability that a randomly selected day in November will be snowy if it is cloudy.
Let A denote the event that the day is cloudy and B denote the event that the day is snowy.
Then, according to the given information, we have
Now, we need to find the conditional probability of event B given that the event A has already happened.
That is, P(B/A).
We know that
Thus, the required probability that a randomly selected day in November will be snowy if it is cloudy is 87.79%.