Answer:
1/4
Step-by-step explanation:
According to the word problem:
- A number cube is numbered 1-6
- A spinner has 3 consonants and 1 vowel
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The question is asking the probability of rolling a number less than 3 and a consonant.
Well, there are 2 numbers less than 3 on the number cube, 2 and 1. So of the six numbers, 2 of them are less than 3 (2/6).
There are 3 consonants on the spinner. So, of the 4 letters, 3 of them are constants (3/4).
Now, that we know the likelihood of each event, multiply them.
Answer:
a. the diameter is <u><em>127.324 yards</em></u>
b. The area is <u><em>12732.385</em></u> yards^2
Step-by-step explanation:
The circumference of the circle is 400, and to get circumference from diameter, multiply it by π, so we divide by pi to get the diameter. 400/π = 127.324
The area of a circle is πr^2. To find r, or radius, divide the diameter by 2 to get 63.662. So it is 63.662^2π. 63.662^2 = 4052.844, so 4052.844π, and now we get 12732.385
Answer:
We need a sample of size at least 13.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is:
90% confidence interval: (0.438, 0.642).
The proportion estimate is the halfway point of these two bounds. So
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
Using the information above, what size sample would be necessary if we wanted to estimate the true proportion to within ±0.08 using 95% confidence?
We need a sample of size at least n.
n is found when M = 0.08. So
Rounding up
We need a sample of size at least 13.
Answer:
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