Answer:
The statement that "the margin of error was given as 
percentage points" means that the population proportion is estimated to be with a certain level of confidence, within the interval 
; where ![\hat{p}[tex] is the sample's proportion. The correct answer is C. The statement indicates that the interval [tex]0.14\pm0.05](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%5Btex%5D%20is%20the%20sample%27s%20proportion.%3C%2Fp%3E%3Cp%3E%20%3C%2Fp%3E%3Cp%3EThe%20correct%20answer%20is%20C.%20The%20statement%20indicates%20that%20the%20interval%20%5Btex%5D0.14%5Cpm0.05)
is likely to contain the true population percentage of people that prefer chocolate pie.
Step-by-step explanation:
The margin of error for proportions is given by the following formula:
Where:
is the critical value that corresponds to the confidence level; the confidence level being 
,
is the sample's proportion of successes,
is the size of the sample.
In this exercise we have that 
and that the margin of error is 0.05.
Therefore if we replace in the formula to calculate the confidence interval we get:
Which means that the true population proportion is estimated to be, with a certain confidence level, within the interval (0.09, 0.19).
Answer:
what came first the chicken or the egg
Step-by-step explanation:
the specific gravity of honey is 1.43. a vat of honey 10 feet deep is inside a dome pressurized to 0.05 atmospheres on the surface of pluto. the total pressure at the bottom of the tub is 7,930 pa. what is the gravitational acceleration of pluto in m/s2
<h3>Answer: 7 goes in the blank space</h3>
The range of values for x is 2 < x < 7
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Explanation:
The hinge theorem says that the larger the opposite side is, the larger the angle will be.
AD = 11, DC = 8
Since AD > DC, this means angle ABD > angle DBC.
--------
angle ABD > angle DBC
20 > 4x-8
20+8 > 4x-8+8 ... add 8 to both sides
28 > 4x
4x < 28 ... flip both sides and the inequality sign
4x/4 < 28/4 ... divide both sides by 4
x < 7
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At the same time, the angle 4x-8 cannot be 0 or negative.
So we say 4x-8 > 0. Let's solve this for x.
4x-8 > 0
4x-8+8 > 0+8 ... add 8 to both sides
4x > 8
4x/4 > 8/4 ... divide both sides by 4
x > 2
2 < x ... flip both sides and the inequality sign
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We have 2 < x and x < 7. Both of these combine to the compound inequality 2 < x < 7
We can pick any value between 2 and 7 as long as we dont pick x = 2 or we dont pick x = 7.
