Math Answers

Write expression that gives the required unknown value.

1. If a = 8 and c = 12, find B.

Answer:

2. If a = 13 and B = 16°, find c.

Answer:

3. If A = 15° and c = 37, find a.

Answer:

In how many ways can a family of six be seated on a bench if the parents must sit at both ends

A continuous random variable X is normally distributed with a mean of 45 and a standard deviation of 6. Illustrate a normal curve and find the probability of the following:

25-28 (4pts).  P(39 < X < 51)

29-32 (4pts).  P(33 < X < 63)

33-36 (4pts).  P(X > 45)

The scores in the summative test of 11-ABM A are normally distributed with a mean of 65 and a standard deviation of 12. Illustrate a normal curve and find the probability that some students got a score below 40. (Show your solution)

The area between z=0 and z=2.86

Consider a population consisting of 4, 7, 8, 13, and 18. Suppose samples of size 2 are drawn from this population. Find the Population Mean

Below is a class distribution table for the weights(in kg) of athletes who registered for a wrestling competition.

Weight Frequency

70-74 4

75-79 7

80-84 11

85-89 8

Find the mean weight of the wrestlers who will be competing in the tournament. Write your complete solution below

How many possible samples does it have when a population consist of 12 and you have to get a sample size of 4 from it. *

Compute for the mean, the median, and the mode of each set of ungrouped data. Write your answer on the table below.

1.) 12, 31, 29, 6, 10, 8, 13, 27, 24, 16

2.) 52, 52, 52, 50, 55, 50, 57, 49, 60, 49, 62

3.) 35, 42, 36, 40, 49, 33, 39, 37, 44, 28, 43

4.) 62, 49, 60, 49, 57, 50, 55, 50, 52, 52, 52

5.) 11, 30, 28, 5, 9, 7, 12, 26, 23, 15

Let A be the set of words containing the letter s, and let B be

the set of words containing the letter t.

Express the following set as a combination of sets A and B.

a. The set of words that do not contain the letter s

b. The set of words containing the letter s and the letter t

c. The set of words containing an s, but not a t

d. The set of words that do not contain the letters s and t

e. The set of words containing the letter s or t, but not both