Answer:
a) Therefore, exists 155 ways.
b) Therefore, exists 4845 ways.
c) That is not possible.
Step-by-step explanation:
We know that the math department of a college has 20 faculty members, of whom 5 are women and 15 are men. A curriculum committee of 4 faculty members is to be selected.
a) We calculate how many ways are there to select the committee that has more women than men
Therefore, exists 155 ways.
b) We get:
Therefore, exists 4845 ways.
c) That is not possible.
Answer:
24 ft^2
Step-by-step explanation:
The small aquarium:
1 * 3 * 2 = 6 ft^2
The large aquarium
(1 + 1) * (3 + 2) * (2 + 1)
2 * 5 * 3 = 30 ft^2
Difference between the larger aquarium and the smaller aquarium:
30 - 6, or 24.
This means that the answer to this question is a, 24 ft^2
Answer:
The standard deviation of the comparison distribution is 0.5657.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .
In this question:
Standard deviation of the population is 8, sample of 200. So
The standard deviation of the comparison distribution is 0.5657.
Answer:
32 Foot long hot dogs
Step-by-step explanation:
A hot dog stand serves 3 regular hot dogs for every 2 foot long hot dogs. This means they sell 3+2 = 5 together.
If they sell 80 in one day, then you find how many of each by solving the equation 5x = 80.
5x = 80
x = 16.
So 3*16 is the number of regular which is 48.
So 2*16 is the number of foot long which is 32.
Answer:
x = 3
Step-by-step explanation:
6x - 2 = x + 13
6x - x = 13 + 2
5x = 15
x = 3