Answer:
d. None of the above.
Step-by-step explanation:
<em>a. By the law of large numbers, it would again be 46%.
</em>
FALSE. This proportion (46%) is a sample statistic, that can or can not be repeated in another sample.
<em>b. By the law of large numbers, the smaller (second) survey will certainly produce a sample proportion farther from the true population proportion than the larger (first) survey.
</em>
FALSE. Smaller samples will produce wider confidence intervals for the estimation of the population proportion, but larger samples does not necessarily gives us better point estimations of the true proportion. A small sample can be closer to the true proportion than a large sample, although is less probable.
<em>c. The proportion computed from the sample of 5000 people would be more accurate because smaller samples tend to be more homogeneous than larger samples.
</em>
FALSE. There is no evidence to claim that smaller samples are more homogeneous.
<em>d. None of the above.</em> TRUE
Answer:
.753
Step-by-step explanation:
Let Ps = probability both marbles are the same color.
Let Pd = probability both marbles are a different color.
Pd = 1 -Ps
Let Pb = probability both marbles are blue
Let Pr = probability both marbles are red.
Let Pg = probability both marbles are green
Pb= 2/9 * 1/9 = 2/81
Pr= 4/9 * 3/9 = 12/81
Pg=.3/9 * 2/9= 6/81
Ps = Pb + Pr +Pg= 20/81
Pd =1-Ps= 61/81 = .753
Is this correct?
Answer:
12 foot.
Step-by-step explanation:
Given that,
A ladder leans a 15 foot ladder against a second story window.
The distance on the ground between the base of the ladder and the house is 9 feet.
We need to find the height of the ladder. Let it is h.
If we consider a right angles triangle such that 15 foot is hypotenuse, 9 feet is base, then we need to find the perpendicular height of the triangle. Using Pythagoras theorem to find it.
So, the height of the ladder that reaches the second story window is 12 foot.
Answer:
Complementary
Step-by-step explanation:
Because that angle is 90°
