MATHEMATICS COLLEGE

Kareem says that the ratio 4 : 1 is equivalent to the ratio 12 : 9 because 4 1 8 5 12 and 1 1 8 5 9. Is Kareem correct? Explain how you know.

Answers

Answer 1
Answer:

4 : 1 and 12 : 9 are not equivalent

Kareem is wrong

Correct question:

Kareem says that the ratio 4:1 is equivalent to the ratio 12:9 because

4 + 8 = 12 and 1 + 8 = 9. Is Kareem correct? Explain how you know

4 : 1 is in its simplest form already

12 : 9

= 12/9

= 4/3

= 4 : 3

Therefore,

4 : 1 and 12 : 9 are not equivalent

Kareem is wrong based on his assumption that 4 + 8 = 12 and 1 + 8 = 9

brainly.com/question/17352744
Answer 2
Answer:

\bf Step-by-step~explanation:

Kareem's statement: 4:1 is equal to 12:9. Let's see if this is correct.

\bf Step ~1:

We have to simplify the ratios. Since 4:1 is already simplified, we do not have to do anything with it. 12:9 could be simplified. To do so, we need to find the greatest common factor (GCF) of both numbers. The GCF of 12 and 9 is 3. Since 3 is the GCF for both numbers, we divide them by 3.

\bf 12 /3=4\n9/3=3

First number: 4

Second number: 3

Ratio: 4:3

\bf Step~2:

We compare the ratio 4:3 to 4:1. Since they have different values, they are not equivalent to each other.

\large\boxed{\bf Our~final~answer: ~Kareem~is~wrong.}

\bf {Explanation~in~Step~1}

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Choose the statement below that describes the relationship between a circles diameter and circumference. A. Circumference times diameter is always π. B. Diameter divided by circumference is always π. C. Circumference divided by diameter is always π. D. There is no relationship between circumference and diameter.​

Answers

Answer:

C

Step-by-step explanation:

What is the missing number in the following sequence?78, 66, ____, 42, 30

a. 51
b. 53
c. 54
d. 55

Answers

Final answer:

The missing number in the sequence is 54.


Explanation:

The missing number in the sequence is 54.

To identify the missing number, we need to observe the pattern in the sequence. The sequence decreases by 12 each time. Starting from 78, we subtract 12 to get 66, then subtract 12 again to get 54, and so on. Therefore, the missing number is 54.


Learn more about Finding the missing number in a sequence

A crate has the shape of a rectangular prism. The area of the base of the crate is 252 square inches. The length of the crate is 4 inches greater than the width. The height is 2 inches less than the width.What is the volume of the crate in cubic inches?

Answers

Answer:

3024 in^3

Step-by-step explanation:

let width=x

length=x+4

height=x-2

A=W×L

252=(x)(x+4)

252=x^2 +4x

0=x^2 +4x -252

use quadratic formula

x=14

W=14

L=18

H=12

V=W×L×H

V=(14)(18)(12)

V=3024 in^3

The Graduate Record Examination (GRE) is a standardized test that students usually take before entering graduate school. According to the document Interpreting Your GRE Scores, a publication of the Educational Testing Service, the scores on the verbal portion of the GRE are (approximately) normally distributed with mean 462 points and standard deviation 119 points. (6 p.) (a) Obtain and interpret the quartiles for these scores. (b) Find and interpret the 99th percentile for these scores

Answers

Answer:

(a) The first quartile is 382.27 and it means that at least el 25% of the scores are less than 382.27 points.

The second quartile is 462 and it means that at least el 50% of the scores are less than 462 points.

The third quartile is 541.73 and it means that at least el 75% of the scores are less than 541.73 points.

(b) The 99th percentile is 739.27 and it means that at least el 99% of the scores are less than 739.27 points.

Step-by-step explanation:

The first, second the third quartile are the values that let a probability of 0.25, 0.5 and 0.75 on the left tail respectively.

So, to find the first quartile, we need to find the z-score for which:

P(Z<z) = 0.25

using the normal table, z is equal to: -0.67

So, the value x equal to the first quartile is:

z=(x-m)/(s)\n x=z*s +m\nx =-0.67*119 + 462\nx=382.27

Then, the first quartile is 382.27 and it means that at least el 25% of the scores are less than 382.27 points.

At the same way, the z-score for the second quartile is 0, so:

x=0*119+462\nx=462

So, the second quartile is 462 and it means that at least el 50% of the scores are less than 462 points.

Finally, the z-score for the third quartile is 0.67, so:

x=z*s +m\nx =0.67*119 + 462\nx=541.73

So, the third quartile is 541.73 and it means that at least el 75% of the scores are less than 541.73 points.

Additionally, the z-score for the 99th percentile is the z-score for which:

P(Z<z) = 0.99

z = 2.33

So, the 99th percentile is calculated as:

x=z*s +m\nx =2.33*119 + 462\nx=739.27

So, the 99th percentile is 739.27 and it means that at least el 99% of the scores are less than 739.27 points.

Find the volume of a cylinder with radius of 4 meters and height of 12 meters?

Answers

Answer:

602.88 cubic meters

Step-by-step explanation:

volume(cylinder) = \pi r^(2) h

(3.14)(4^2)(12)

(3.14)(16)(12)

602.88

Answer: 603.19

Step-by-step explanation:

V = pi * 4^2

h = pi * 4^2 * 12

Jenny wants to share some stickers with her friends. If she gives each of her friends three stickers, she will have eight stickers left. If she gives each of her friends four stickers, she will need two stickers more. How many stickers does Jenny have?

Answers

how many friends does she have

Answer:

It depends how many friends there are

Step-by-step explanation:
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