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3 years ago

The area of a rectangle is 72cm2, in which the width is twice the length. what are the dimensions

Mathematics

1 answer:

Blizzard [7]3 years ago

6 0

Answer:

Dimension: 2inches by 4 inches

Step-by-step explanation:

Given

$Width = 2wice\ Length$

Required

Determine the dimension.

This is calculated as :

$Area = Length * Width$

$A = L * W$

So:

$A=L * 2L$

$A=2L^2$

Substitute 72 for A

$72=2L^2$

Divide bith sodes by 2

$36 = L^2$

Take square root of both sides

$L = 6$

Recall that:

$Width = 2 * Length$

Hence:

$LEnhth= 0 * 2$

$LEnhth= 2$

Hence, the dimension is: 2 by 3 inches

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The distribution of heights for adult men in a certain population is approximately normal with mean 70 inches and standard devia

KengaRu [80]

Answer:

The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12]

Step-by-step explanation:

I beleive those options corresponds to another question, i will ignore them. We want to know an interval in which the probability that a height falls there is 0.8.

In such interval, the probability that a value is higher than the right end of the interval is (1-0.8)/2 = 0.1

If X is the distribuition of heights, then we want z such that P(X > z) = 0.1. We will take W, the standarization of X, wth distribution N(0,1)

$W = \frac{X-\mu}{\sigma} = \frac{X-70}{4}$

The values of the cumulative distribution function of W, denoted by $\phi$ , can be found in the attached file. Lets call $y = \frac{z-70}{4}$ . We have

$0.1 = P(X > z) = P(\frac{X-70}{4} > \frac{z-70}{4}) = P(W > y) = 1-\phi(y)$

Thus

$\phi(y) = 1-0.1 = 0.9$

by looking at the table, we find that y = 1.28, therefore

$\frac{z-70}{4} = 1.28\\z = 1.28*4+70 = 75.12$

The other end of the interval is the symmetrical of 75.12 respect to 70, hence it is 70- (75.12-70) = 64.88.

The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12] .

Download pdf

8 0

3 years ago

Just an answer and simple explanation! Thank you.

vazorg [7]

Answer:

Step-by-step explanation:

If CD and DE equal, then x+6 = 4x -21

So if you subtract x from both sides and plus 21 to both sides, that would be 3x = 27. Divide by 3 on both sides and you get 9.

Plug in x+6 with 9 and you get 15.

6 0

2 years ago

Write your answer as a mixed number in simplest form

Neko [114]

Answer:

2 5/12

Step-by-step explanation:

You put it so that the denominators are the same so in this case I used 12 as the denominator and used the rule for each. Next I subtracted 3 9/12 minus 1 4/12 and got 2 5/12

5 0

3 years ago

Applications: Sarah's Pet Store never has more than a combined total of 16 cats and dogs. She also never has more than 9 cats. W

ankoles [38]

The possible solution is 12 cats and 4 dogs in Sarah's store.

Let x represent the number of cats and y represent the number of dogs.

Since Sarah's Pet Store never has more than a combined total of 16 cats and dogs. Hence:

x + y ≤ 16

Also, She also never has more than 9 cats. Therefore:

x > 9

The solution to the inequality is graphed. From the graph, the possible solution is 12 cats and 4 dogs

Find out more on inequalities at: brainly.com/question/24372553

4 0

2 years ago

Please Fraction help & explain

Anika [276]

Answer:

5/2

Step-by-step explanation:

Convert both fractions into improper fractions:

- To convert these fractions into an improper fraction you need to multiple the denominator with the mixed numeral/whole number. Then add that amount to the numerator. Do this for both fractions. This is what it should look like.

38/6 - 23/6.

The you subtract it

- 38/6 - 23/6 = 15/6

15/6 is your answer

If you want to simplify it the fraction it will be :

- 5/2

8 0

3 years ago