MATHEMATICS
MIDDLE SCHOOL

B. 12.7 cm

C 7.54 cm

D. 2.46

Answer: The metric equivalent of 5 inches in centimeters is 12.7 cm. C:

HIGH SCHOOL

How do i do this if 4! = 4 x 3 x 2 x 1, then 8! equals?

8! = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

8! = 40320

8! = 40320

COLLEGE

Which unit would you use to measure the height of a birds

I think that inches would be most common for height but centimeters and feet could also be used.

MIDDLE SCHOOL

what is 64% of 75 tile Also include an explanation, I don't really understand what my teacher explained to my class

You can find what 1% is of 75 by dividing 75 by 100 in a calculator, which is .75

Next you can do .75*64, which is 48.

Next you can do .75*64, which is 48.

We have an equation: ?/75= 64/100

Cross multiply:

100*?= 75*64

⇒ ?= 75*64/100= 48

64% of 75 is 48~

Cross multiply:

100*?= 75*64

⇒ ?= 75*64/100= 48

64% of 75 is 48~

HIGH SCHOOL

How can I factor 16p^4+4p^3

4p^3(4p+1) is the answer I believe

Combine your like terms first

HIGH SCHOOL

The ratio of blue chairs to red chairs in Ms.Vicker's class is 2 to 5. Which of the following cannot represent the total number of chairs in Ms. Vicker's class? A:14

B:20

C:28

D:35

After checking all the options for the ratio, the value which cannot represent the total number of chairs is 20. Hence, option B is correct.

What is ratio?The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is. A ratio divides two quantities in order to compare them.

As per the given information in the question,

Let's check for the first option,

2x + 5x = 14

7x = 14

x = 2

Which means that

2(2):5(2) = 14

4:10 = 14, it is correct

Let's check for the second option,

2x + 5x = 20

7x = 20

x = 2.85

2(2.85):5(2.85) ≠ 20, thus this one is incorrect.

Let's check for the third one,

2x + 5x = 28

7x =28

x =4

2(4):5(4) = 28, it is correct.

Similarly, D is also correct

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B

Blue:Red:Total

2:5:7

4:10:14

6:15:21

8:20:28

10:25:35

Blue:Red:Total

2:5:7

4:10:14

6:15:21

8:20:28

10:25:35

HIGH SCHOOL

Simplify. 25/55x

A.

5/11x

B.1/2x

C.x/2

D.

5x/12

Just simplify the fraction.

Divide 5 to the numerator and denominator:

25 / 5 = 5

55 / 5 = 11

5/11x

Divide 5 to the numerator and denominator:

25 / 5 = 5

55 / 5 = 11

5/11x

MIDDLE SCHOOL

Determine the common ratio and find the next three terms of the geometric sequence. 8, -20, 50, ...

The common ratio is -2.5

Next 3 terms after 50 are -125, 312.5, -781.25

What is a geometric sequence and common ratio?A sequence ( increasing or decreasing) having a pattern that the next term is found by multiplying the previous term with a constant term called common ratio, is called a geometric sequence. Common ratio can be positive or negative.

- Common ratio can be found by dividing a term by its previous term.

The given sequence is 8, -20, 50......

The common ratio is

How to find the next terms of the given geometric sequence?- In a geometric sequence, a term multiplied by the common ratio gives ithe next term.

Next term after 50 = {50 x (-2.5)} = -125

Next term after -125 = {(-125) x (-2.5)} = 312.5

Next term after 312.5 = {312.5 x (-2.5)} = -781.25

- Next 3 terms after 50 are -125, 312.5, -781.25

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Answer:

see explanation

Step-by-step explanation:

The common ratio r of a geometric sequence is

r = = = .....

r = = = - 2.5

Multiplying each term by - 2.5 gives the next term

50 × - 2.5 = - 125

- 125 × - 2.5 = 312.5

312.5 × - 2.5 = - 781.25

The next 3 terms in the sequence are - 125, 312.5, - 781.25

MIDDLE SCHOOL

What is 837 divided by 36 ? (not on calculator)

23 r. 9 didn't use cauculater

----------

----------

The answer to you problem is 23.25

COLLEGE

The average height of students at UH from an SRS of 12 students gave a standard deviation of 3.1 feet. Construct a 95% confidence interval for the standard deviation of the height of students at UH. Assume normality for the data.

Answer:

Step-by-step explanation:

The confidence interval for the standard deviation is given by :-

Given : n= 12 ; s= 3.1

Significance level :

Using Chi-square distribution table ,

Now, the 95% confidence interval for the standard deviation of the height of students at UH is given by :-

A 95% confidence interval for the standard deviation of the height of students at UH (2.20, 5.26)

Calculations and Parameters:The confidence interval is given by:

Given

- n= 12 ;
- s= 3.1

Significance level : =1 - 0.95

= 0.05.

Using Chi-square distribution table ,

Now, the 95% confidence interval for the standard deviation of the height of students at UH is given by:-

(2.20, 5.26)

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