<h3>
Answer: (2/3)^3</h3>
Explanation:
Note how 8 = 2^3 and 27 = 3^3
This means, 8/27 = (2^3)/(3^3) = (2/3)^3
For the last step, I used the rule (a^c)/(b^c) = (a/b)^c
Answer:
x = - 6
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = - 9 when x = 3, thus
k =
=
= - 3
y = - 3x ← equation of variation
When y = 18, then
18 = - 3x ( divide both sides by - 3 )
x = - 6
Answer:
And we can find this probability with this difference and using the normal standard distribution
Step-by-step explanation:
Let X the random variable that represent the amount of Jen monthly phone of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And we can use the z score formula given by:
Replacing the info we got:
And we can find this probability with this difference and using the normal standard distribution
Answer:
D. 220.16 Square feet
Step-by-step explanation: The shaded area is the space in the square not filled by the circle. So we need to find the area of the circle. The formula for area of a circle is
. So we fill in this equation with the information we already know:

Simplify the exponents
Multiply

So now we know the area of the circle we have to find the area of the square because the circle is inside the square. It is a simple
which is 1,024. Since we are looking for the shaded area we will subtract the area of the circle from the area of the square because the circle is not shaded.
1024-803.94= 220.16 square feet