Using proportions, the estimate of the population percentage of seniors that will say they are going to the graduation party is of 62.5%.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
The estimate of a population proportion is the sample proportion. In this problem, the sample proportion is of 75 out of 120 students, hence:
p = 75/120 = 0.625 = 62.5%.
The estimate of the population percentage of seniors that will say they are going to the graduation party is of 62.5%.
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The best option is (d) i.e; <span> less than A.</span>
Answer:
4
Step-by-step explanation:
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Answer:
v = -1
Step-by-step explanation:
First, you will need to solve it step-by-step:
(4v − 9)(1 + v) = 0
Next, you need to simplify both sides of the equation:
4v(2) − 5v − 9 = 0
Now, factor the left side of equation:
(4v − 9)(v + 1) = 0
The last thing you need to do is to set all of the factors to equal to zero:
4v − 9 = 0 or v + 1 = 0
So, that means that you answer:
v=9/4 or in your case, v = −1
Answer:
y = 2√5.
Step-by-step explanation:
Consider the smallest triangle.
Applying Pythagoras theorem:
y^2 = x^2 + 2^2
The smallest and larger triangle (the one with one side = 8) are similar so we have the proportions :
x/2 = 8/x
---> x^2 = 16
---> x = 4.
Therefore , substituting for x in the first equation:
y^2 = 4^2 + 2^2
---> y^2 = 20
---> y = √20
---> y = 2√5.