Answer:
The correct answer is (D)
Step-by-step explanation:
Given the events X and Y:
X = the price of stock X has increased
Y = the price of stock Y has increased
That means that the complement of these events are:
X' = the price of stock X has not increased
Y' = the price of stock Y has not increased
Hence, the event "the price of stock X has increased and the price of stock Y has not increased" may be written as:
X ∩ Y′
700 cubic inches
Step-by-step explanation:
is known :
V = πr²h
V = 3.14 · 5² · 9
V = 3.14 · 25 · 9
V = 78.5 · 9
V = 706.5 cubic inches → Round to the nearest hundredth
V ≈ 700 cubic inches
Answer:
1.) .399
2.) {.369, .429}
Step-by-step explanation:
The proportion of criminals in this sample that were caught was
=.39944, .399 rounded to three decimal places.
To construct the confidence interval, you need three pieces of information: the statistic, the critical value, and the standard error.
The statistic is given in the first part of the problem with the proportion of criminals in the sample that were caught was .399.
The critical value, we are told, is the z equivalent of 90%, or 1.645. You can find this value using a z table or with the inverse normal function on a calculator.
Finally, we need the standard error. The formula for standard error for a proportion with a single population is
so in this situation it would be
=.0183.
The confidence interval would be .399±.018×1.645 or .399±.030 {.369, .429}
Answer: -14
Step-by-step explanation: 3-17= -14
17+(-14)=3