9514 1404 393
Answer:
y = -16x² +180
Step-by-step explanation:
The vertex appears to be the high point of the graph, (0, 180). Then the vertex form equation is ...
y = a(x -0)² +180
The value of 'a' can be found using the other given point. Substituting for x and y, we have ...
164 = a(1 -0)² +180
-16 = a
Then the complete simplified vertex form equation is ...
y = -16x² +180
The value of the sum of twice a number and 7 is 17.
<h3>What is an expression?</h3>
An expression is used to show the relationship between the variables that are given.
Let the number in this situation be 5. This will be illustrated as:
2n + 7
where n = number = 5
= 2n + 7
= 2(5) + 7
= 10 + 7
= 17
Therefore, the number is 17.
Learn more about numbers on:
brainly.com/question/24644930
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Complete Question
A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of ±5% with 90% confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?
Round your answer up to the nearest integer.
sample size = _____
Answer:
The sample size is
Step-by-step explanation:
From the question we are told that
The margin of error is E = 5% = 0.05
Generally given that there was no prior knowledge about the proportion of who might support the law, we will assume the sample proportion to be

From the question we are told the confidence level is 90% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of
is
Generally the sample size is mathematically represented as
=>
=>