0.2x+0.2+0.5x=-0.3x+1.2
0.7x+0.3x=1.2-0.2
x=1
That's your answer.
Answer:
8
Step-by-step explanation:
Answer:
Percentage of scores that fall between 70 and 80 = 24.34%
Step-by-step explanation:
We are given a test with a population mean of 75 and standard deviation equal to 16.
Let X = Percentage of scores
Since, X ~ N(
)
The z probability is given by;
Z =
~ N(0,1) where,
= 75 and
= 16
So, P(70 < X < 80) = P(X < 80) - P(X <= 70)
P(X < 80) = P(
<
) = P(Z < 0.31) = 0.62172
P(X <= 70) = P(
<
) = P(Z < -0.31) = 1 - P(Z <= 0.31)
= 1 - 0.62172 = 0.37828
Therefore, P(70 < X < 80) = 0.62172 - 0.37828 = 0.24344 or 24.34%
Answer:

Step-by-step explanation:
Let's tackle each statement at a time:
<em>Jamal filled his gas tank of which he used
.</em>
We need to express the unit (a gas tank) in terms of fractions so that we can substract
.
The denominator of the second term of our substraction is
, so we can express the first term as
. Now that we have the same denominator in both terms, we can proceed to define
as a common denominator and rewrite the expression as:
, which gives us a result of
, which is what Jamal has left after visiting his grandfather. This expression cannot be simplified anymore.
<em>Then, he used
of the remaining
.</em>
We express it as if he had
of the remaining <em>
.</em>:

We multiply the terms:

And simplify:


So, at the end, Jamal has
of his tank left.
Answer:
<u>The volume of the container is 37.7 cubic inches and the equation is π * r² * h/3, where r is the radius and h is the height of the cone.</u>
Step-by-step explanation:
Let's recall that the formula for finding out the volume of a cone is:
Volume of a cone = π * r² * h/3
Replacing with the real values, we have:
diameter = 4 inches ⇒ radius = 2 inches
Volume of a cone = 3.1416 * 2² * 9/3
Volume of a cone = 3.1416 * 4 * 3
Volume of a cone = 37.7 cubic inches