You surveyed 30 students to see how many CDs they owned.
The number of students who owned 5 - 8 CDs was:
= 15
The number of students who owned 9 - 12 CDs was:
= 10
The number of students who owned 13 - 16 CDs was:
= 5
The number of students who owned 17 - 20 CDs was:
= 0
The total number of students surveyed is the sum of the above:
= 15 + 10 + 5 + 0
= 30 students
30 students were surveyed for this study.
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Where x is the length of the first piece
![x + 2x + 6x + 1 = 28 \\ \\ 9x = 27 \\ \\ x = 3](https://tex.z-dn.net/?f=x%20%2B%202x%20%2B%206x%20%2B%201%20%3D%2028%20%5C%5C%20%20%5C%5C%209x%20%3D%2027%20%5C%5C%20%20%5C%5C%20x%20%3D%203)
so the first piece is 3 inches, the second is 6 inches and the third is 19 inches
Not the best, teachers are so annoying lol. Hope you are doing well though, don’t give up❤️
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
![\^ p = 0.5](https://tex.z-dn.net/?f=%5C%5E%20p%20%3D%20%200.5)
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
=>
=>
For this problem we can represent the situation as a rectangle triangle.
x: depth of water.
40: Base. "Antonio pulls the lily to one side, keeping the stem straight, until the blossom touches the water at a spot"
x + 8: Hypotenuse. "He notices water lily sticking straight up from the water, whose blossom is 8 cm above the water's surface." Antonio pulls the lily to one side, keeping the stem straight, until the blossom touches the water at a spot".
By the Pythagorean theorem we have:
x ^ 2 + 40 ^ 2 = (x + 8) ^ 2
Clearing x:
x ^ 2 + 1600 = x ^ 2 + 16x + 64
x ^ 2 - x ^ 2 = 16x + 64 - 1600
0 = 16x -1536
1536 = 16x
1536/16 = x
x = 96
answer:
1) x ^ 2 + 40 ^ 2 = (x + 8) ^ 2
2) the depth of the water is
x = 96