MATHEMATICS COLLEGE

There are 25 marbles in the box. There are 10 red marbles , 8 blue marbles , and 7 yellow marbles . What percent of the marbles are NOT yellow ?A. 28%
B. 72%
C. 32%
D. 40%

Answers

Answer 1
Answer: I think it is 32 which is c or 40% which is D but I got 43%
Answer 2
Answer: 40 percent Woolf be the answer because they are pulling out the smallest number but it still is a big percentage

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A carpenter cuts a board 3 3/8 feet off the end of a board that is 6 1/2 feet long. How long is the remaining piece of board?

Answers

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

The remainingpiece of the board when 3(3)/(8) feet is cut off from the end of the board of 6(1)/(2) feet is

3(1)/(8) feet

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example:

1/2, 1/3 is a fraction.

1/2 of 4 is 2.

1/4 of 20 is 5.

We have,

Length of the board = 6(1)/(2) feet.

The lengthcutoff from the board = 3(3)/(8) feet.

The remaininglength of the board:

= 6(1)/(2)  -  3(3)/(8)

= 13/2 - 27/8

Find the Lcm of 2 and 8.

The Lcm of 2 and 8 is 8.

= (13x4 - 27) / 8

= (52 - 27) / 8

=  25/8

Write it in a mixedfraction.

= 3(1)/(8) feet

Thus,

The remainingpiece of the board when 3(3)/(8) feet is cut off from the end of the board of 6(1)/(2) feet is  3(1)/(8) feet.

Learn more about fractions here:

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Answer:

6 * (1)/(2) - 3 * (3)/(8) = 1 * (7)/(8)

Convert the measurements below:
a. 8 millimeters = ____meters

Answers

Answer:

0.008 meters

Step-by-step explanation:

Answer:

0.008 meters

Step-by-step explanation:

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A rectangular garden measures 26ft by 37ft. Surrounding (and bordering) the garden is a path 2ft wide. Find the area of this path. Be sure to include the correct unit in your answer.

Answers

26*37=962sqft
Add 4 ft to both numbers (2ft per side)
30*41=1230sqft
Subtract out the garden area
1230-962=268sqft
The path is 268 sq ft

The administration of a large university is interested in learning about the types of wellness programs that would interest its employees. To do this, they plan to survey a random sample of employees. Under consideration are several plans for selecting the sample. Which of the following sampling strategies is the stratified sampling?A. Simple Random Sampling.
B. Stratified Sampling.
C. Cluster Sampling.
D. Systematic Sampling.
E. Convenience Sampling.

Answers

Answer:

a. There are five categories of employees (administration faculty, professional staff, clerical and maintenance). Randomly select ten individuals from each category.

Completed question;

The administration of a large university is interested in learning about the types of wellness programs that would interest its employees. To do this, they plan to survey a random sample of employees. Under consideration are several plans for selecting the sample. Which of the following sampling strategies is the stratified sampling?

a. There are five categories of employees (administration faculty, professional staff, clerical and maintenance). Randomly select ten individuals from each category.

b. Fach employee has an ID number. Randomly select 50 numbers.

c. Randomly select a school within the university (eg, Business School) and survey all of the individuals (administration, faculty, professional staff, clerical and maintenance) who work in that school.

d. The HR Department has an alphabetized list of newly hired employees (hired within the last five years). After starting the process by randomly selecting an employee from the list, then every 5th name is chosen to be included in the sample.

Step-by-step explanation:

Stratified sampling is a sampling strategy from a population that involves sampling by dividing or partitioning the population into smaller subgroups.

So the correct answer is "There are five categories of employees (administration faculty, professional staff, clerical and maintenance). Randomly select ten individuals from each category." because it involves dividing the population into subgroups.

A hypothesis will be used to test that a population mean equals 7 against the alternative that the population mean does not equal 7 with known variance σ. What are the critical values for the test statistic Upper Z Subscript 0 for the significance level of 0.04? Round your answer to two decimal places (e.g. 98.76).

Answers

The upper critical value z₀ of the hypothesis is 2.05.

How to explain the hypothesis?

From the information given, it can be noted that this is a two-sided test. In this case, the critical values are the values of z that determine the boundaries of whether one should reject the null hypothesis or shouldn't.

Since the significance level is 0.04, it simply implies that there is a p-value of 0.02. Then, the next thing is to check the normal distribution table, and this corresponds to the z value of 2.05.

In conclusion, the correct option is 2.05.

Learn more about hypothesis on:

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Answer:

The upper critical value z₀ is 2.05.

Step-by-step explanation:

For a two-sided test like this (the mean can be significantlt greater or smaller than 7 to reject the null hypothesis), the critical values are the values of z that determine the boundaries of rejecting or not the null hypothesis.

If the significance level is 0.04, it means that there is a P-value of 0.02 for z larger than the upper critical value z₀.

P(z>z_0)=\alpha /2= 0.02

If we look up in a normal distribution table, the z value that corresponds to this probability is z=2.05.

Two​ fire-lookout stations are 190 miles ​apart, with station A directly south of station B. Both stations spot a fire. The bearing of the fire from station A is Upper N 55 degrees Upper E and the bearing of the fire from station B is Upper S 60 degrees E. How​ far, to the nearest tenth of a​ mile, is the fire from each lookout​ station?

Answers

Step-by-step explanation:

Let's say the position of the fire is point C.

Bearings are measured from the north-south line.  So ∠BAC = 55°, and ∠ABC = 60°.

Since angles of a triangle add up to 180°, ∠ACB = 65°.

Using law of sine:

190 / sin 65° = a / sin 60° = b / sin 55°

Solving:

a = 181.6

b = 171.7

Station A is 181.6 miles from the fire and station B is 171.7 miles from the fire.
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