Answer:
<u>The correct answer is B. 1/729</u>
Step-by-step explanation:
1. Probability of any of the nine words would be randomly cited.
Using the Laplace Rule, we calculate that probability is 1/9
2. Now let's calculate the probability of any two - word phrase in specific order from those nine in the dictionary. We should remember that the probability of occurrence of two or more statistically independent events is equal to the product of their individual probabilities. So,
1/9 * 1/9 = 1/81
3. Using the same Multiplication Rule, we can calculate the probability of a random generation of the phrase "three blind mice", in that specific order. Because there are other phrases that could be generated with those three words, but in different order. The question was specific about the order.
1/9 * 1/9 * 1/9 = 1/729
<u>The probability of randomly generating the phrase "three blind mice" is 1/729 or 0.137%</u>
Answer:
any integer in between 29,30,31,32,33,34 will work.
Answer: $76,244.51
Step-by-step explanation:
You need to use the compound interest formula here.
First of all however, you need to convert the terms to monthly figures because the interest is compounded monthly.
4% in months = 4 / 12 = 4/12%
6 years = 6 * 12 = 72 months
Now use the compound interest formula:
= Amount * (1 + rate) ^ number of years
= 60,000 * ( 1 + 4/12%) ⁷²
= $76,244.51
Answer:
d= 71518 kilometers
Explanation:
A diameter is twice the radius. Here, we can use the formula d=2r (d=diameter r=radius)
If we substitute the formula, we have
d=2(35795)
After multiplying:
d=71518 kilometers
The number of defective modems in the inventory is 20%⋅ 30 + 8%⋅ 50 = 10 (out of 80).
Note that the number of defectives in the inventory is fixed, i.e., we are not told that there
is 1
8 probability that a modem in the inventory is defective, but rather that exactly 1
8
of
all modems are defective. The probability that exactly two modems in a random sample
of five are defective is = 0.102
