To solve for proportion we make use of the z statistic.
The procedure is to solve for the value of the z score and then locate for the
proportion using the standard distribution tables. The formula for z score is:
z = (X – μ) / σ
where X is the sample value, μ is the mean value and σ is
the standard deviation
when X = 70
z1 = (70 – 100) / 15 = -2
Using the standard distribution tables, proportion is P1
= 0.0228
when X = 130
z2 = (130 – 100) /15 = 2
Using the standard distribution tables, proportion is P2
= 0.9772
Therefore the proportion between X of 70 and 130 is:
P (70<X<130) = P2 – P1
P (70<X<130) = 0.9772 - 0.0228
P (70<X<130) = 0.9544
Therefore 0.9544 or 95.44% of the test takers scored
between 70 and 130.
Answer:
Step-by-step explanation:
Michael and Juanita are interested in the amount of sand required to build a sand pyramid of the size that they see while at a sand sculpture exhibit. They carefully measure the width of the square base of the sand pyramid which is 4 feet and the height of the pyramid which is 5 feet. How much sand is required to build this sand pyramid?
First we define the varible to use:
x = represent the number of cookies
Cameron:
The amount of cookies he made was:
x
Deyonne:
We can rewrite the amount in different ways:
x + 0.25x
1.25x
Then, the total revenue is:
0.50 * (x + (x + 0.25x))
We rewrite:
0.50 * (x + 1.25x)
0.50 * (2.25x)
Answer:
The following expressions represent possible revenue from the sales:
F. 0.50 (2.25x
C. 0.50 (x + 1.25x)
A. 0.50 [x + (x + 0.25x)]
Answer:
The answer to your question is: (2a + 2b)²
Step-by-step explanation:
a² + b² = z
ab = y
Which is equivalent to 4z + 8y ?
Substitution
4(a² + b²) + 8(ab)
Simplify 4a² + 4b² + 8ab
Order 4a² + 8ab + 4b² It's a perfect square trynomial
Factorize (2a + 2b)²
Answer: 5/14
Explanation:
19-14=5
