Answer:
Size 50
Step-by-step explanation:
You should choose the larger sample size. This is because if you take the mean, it will help to cancel out outliers. For instance, most people exercise half an hour. With sample size of 10, there might be one person who doesn't exercise, thus dragging down the mean. A larger sample size would have a greater ratio of "average" people.
Answer:
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Step-by-step explanation:
From the question we are told that:
Sample size n=100
Sample space n'=36
Generally the equation for the mean number of times odds appears is mathematically given by
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Generally the equation for standard deviation is mathematically given by
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Therefore probability to make wrong decision P(n>55)
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Answer:
The first rocket, g(x), reached its maximum height before the second rocket, h(x).
Step-by-step explanation:
Each equation is in vertex form, so we can read the vertex of the rocket's path from the equation.
y = a(x -h)^2 +k . . . . . . has vertex (h, k)
__
g(x) has vertex (time, max height) = (4, 170).
h(x) has vertex (time, max height) = (5, 170).
The rockets have the same maximum height (170), but the first rocket, g(x), reaches that height in 4 seconds, one second sooner than the second rocket, h(x).
The first rocket, g(x), reached its maximum height before the second rocket, h(x).
1. how much to tip
2. how much interest is needed for a loan
3. figuring out how much sales tax
Answer:
Measure of angle 4 is 115°
Step-by-step explanation:
First, we want to find the measure of angle 2, because the measure of angle 2 is equal to angle 4. When 2 straight lines cross each other, the angles formed are always equal to the angle right across from it.
Find angle 2 by setting up an equation:
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This is basically saying that angle 1 plus angle 2 equals 180°. In a half turnaround, the angle is 180°. Angle 1 and 2 make up a half turnaround.
Solve the equation:
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Combine the 2 x's to get 2x.

Subtract 50 from both sides.

Divide both sides by 2.

Since x=65, plug 65 into x in the measure of angle 2 (x+50).
65+50=115.
Since Angle 2 is equal to angle 4, angle 4 is also 115.