Answer:
15 x^8 y^3
Step-by-step explanation:
The area of a rectangle is given by
A = l*w where l is the length and w is the width
A = ( 5x^6 y^2) *( 3x^2 y)
= 15 x^(6+2) y^(2+1)
= 15 x^8 y^3
Answer: 4.5
Step-by-step explanation:
do the numbers that are in parentheses first which is 2+6=8 next is 5+3=8 then add both ur answers together then divide that by 4 which should equal 4.5
Step-by-step explanation:
this is a kind of trick question, actually.
with whatever we draw, we produce X values as power of 3.
to be precise, we can have only
3⁰ = 1
3¹ = 3
3² = 9
3⁴ = 81
due to the possible combinations of drawn numbers (e.g. 3 cannot be created by a multiplication of 0s, 1s and 2s).
so, mostly, these results cannot be exact factors of 1024.
1024 cannot be divided by 3, nor by 9 nor by 81.
but 1024 is a multiple of 1 (as is every number).
so, we are looking at the probability to get 0 as multiplication result of the numbers on the 2 drawn balls.
the only possibilities are
1 and 0
2 and 0
out of in total 6 (2×3) different outcomes
1 and 0
1 and 1
1 and 2
2 and 0
2 and 1
2 and 2
the probability of this "0" event is again
number of desired outcomes / number of possible outcomes = 2/6 = 1/3
Answer:
x = 2
x = -3/2 or -1.5
Step-by-step explanation:
For this, I would use the "slip and slide" method. LOL I know the name is cheesy, but that's what my teacher called it!
First, you "slip" the coefficent of the leading term (2) to the constant, and multiply.
The equation becomes:
x² - x - 6(2) = 0
x² - x - 12 = 0
Then, you factor this out by looking at the second and third terms. You're looking for 2 factors of -12 that would add up to -1 ( the coefficent of the second term).
Automatically, think of 3 and 4, because the difference between them is 1.
The factors must be (x-4) and (x+3) because they multiple to -12, and add up to -1.
This step is extremely important! Lol I used to forget it a lot, but make sure you divide the constant in each factor by the original number you "slipped".
It would become (x-(4/2))(x+3/2) = (x-2)(x+3/2)
With (x+3/2), you don't want to leave it as a fraction or decimal. It's equivalent to (2x+3). However, the informal form is easier to identify the value of x.
Answer:
There is a 61.36% probability that a randomly selected day in November will be foggy if it is cloudy.
Step-by-step explanation:
We have these following probabilities:
An 88% probability that the day is cloudy.
An 54% probability that the day is both foggy and cloudy.
What is the probability that a randomly selected day in November will be foggy if it is cloudy?
This is the percentage of days that are cloudy and foggy divided by those that are cloudy. So:
There is a 61.36% probability that a randomly selected day in November will be foggy if it is cloudy.
