Please help me answer this question

The area of a rectangle is (27x5 + 9x4 - 18x3) square feet. The width of the rectangle is 9x2 feet. What is the length of the re

Yuliya22 [10]

If the width is 9x², then the length is 27x^5+9x^4-18x^3/9x², which equals 3x³+x²+2x. ☺☺☺☺

8 0

2 years ago

Read 2 more answers

Two towns are 324 miles apart. on a map they are 4 1/2 apart. the scale of the map is 1

Rom4ik [11]

Shouled be 1:32 if u divide 324/(4.5)

6 0

2 years ago

There are 15 books on a shelf. 9 of these books are new. The rest of them are used. what is the ratio of all books

Andrew [12]

Answer:

a)15:6 b)2:3

Step-by-step explanation:

No. of used books=15-9=6

a) 15:6

b)

6:9

2:3

6 0

2 years ago

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen

Svetllana [295]

Hello,

$\left \{ {{3x+2y=-21} \atop {x-3y=4}} \right. \\\\
 \left \{ {{3x+2y=-21} \atop {x=4+3y}} \right. \\\\
 \left \{ {{3(4+3y)+2y=-21} \atop {x=4+3y}} \right. \\\\

 \left \{ {{12+9y+2y=-21} \atop {x=4+3y}} \right. \\\\
 \left \{ {{12+11y=-21} \atop {x=4+3y}} \right. \\\\
 \left \{ {{11y=-21-12} \atop {x=4+3y}} \right. \\\\
 \left \{ {{11y=-33} \atop {x=4+3y}} \right. \\\\
 \left \{ {{y=-3} \atop {x=4+3(-3)}} \right. \\\\
 \left \{ {{y=-3} \atop {x=5}} \right. \\\\
Sol=\{(5,-3)\}\\\\



$

3 0

2 years ago

Which score indicates the highest relative position? I. A score of 2.6 on a test with X = 5.0 and s = 1.6 II. A score of 650 on

Zanzabum

Answer:

A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6 and A score of 48 on a test with $\bar X$ = 57 and s = 6 indicate the highest relative position.

Step-by-step explanation:

We are given the following:

I. A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6

II. A score of 650 on a test with $\bar X$ = 800 and s = 200

III. A score of 48 on a test with $\bar X$ = 57 and s = 6

And we have to find that which score indicates the highest relative position.

For finding in which score indicates the highest relative position, we will find the z score for each of the score on a test because the higher the z score, it indicates the highest relative position.

The z-score probability distribution is given by;

Z = $\frac{X-\bar X}{s}$ ~ N(0,1)

where, $\bar X$ = mean score

s = standard deviation

X = each score on a test

The z-score of First condition is calculated as;

Since we are given that a score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6,

So, z-score = $\frac{2.6-5}{1.6}$ = -1.5 {where $\bar X = 5.0$ and s = 1.6 }

The z-score of Second condition is calculated as;

Since we are given that a score of 650 on a test with $\bar X$ = 800 and s = 200,

So, z-score = $\frac{650-800}{200}$ = -0.75 {where $\bar X = 800$ and s = 200 }

The z-score of Third condition is calculated as;

Since we are given that a score of 48 on a test with $\bar X$ = 57 and s = 6,

So, z-score = $\frac{48-57}{6}$ = -1.5 {where $\bar X = 57$ and s = 6 }

AS we can clearly see that the z score of First and third condition are equally likely higher as compared to Second condition so it can be stated that A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6 and A score of 48 on a test with $\bar X$ = 57 and s = 6 indicate the highest relative position.

7 0

3 years ago