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3 years ago

Perform the indicated operations and chose the correct answer from the listed options.

Mathematics

1 answer:

ehidna [41]3 years ago

3 0

Answer:

The correct answer is option C. 3

Step-by-step explanation:

It is given an expression in variable x

(x² + 3x²)/(x + 1) ÷ (x² - 9)/(3x + 3) * (x - 3)/x

<u>To find the simplified answer</u>

x² + 3x² = x(x + 3)

x² - 9 = (x + 3)(x - 3)

The given expression can be written as,

(x² + 3x²)/(x + 1) ÷ (x² - 9)/(3x + 3) * (x - 3)/x

= x(x + 3)/(x + 1) * 3(x + 1)/(x + 1)(x - 1) * (x -3)/x

=[ x(x +3) * 3(x +1) * (x -3)]/[(x + 1) * (x + 3)(x - 3) *x]

= 3

The correct answer is option C. 3

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(a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their wate

Anon25 [30]

Answer:

The margin of error (E) $=0.49$

Step-by-step explanation:

Given,

mean $\bar{x}=6.88$

standard deviation $\sigma=1.90$

sample size $n=41$

$90\% \quad \text{confidence interval}$

Critical value $=\frac{z_\alpha}{2}\quad \quad\quad[\because\;\alpha=1-\text{confidence interval}]$

$=1-0.90$

$\Rightarrow \alpha=0.1$

Critical value $=\frac{z_{0.1}}{2}$

$=z_{0.05}$

$=1.645$

The margin of error (E) $=\frac{z_\alpha}{2} \times\frac{\sigma}{\sqrt{n} }$

$=1.645\times\frac{1.90}{\sqrt{41} }$

$=0.49$

Hence, The margin of error (E) $=0.49$

Complete question is attached in below.

7 0

3 years ago

I need help please I suck at math

Scrat [10]

It’s b I’m positive because I did 1.25 to the power of 3 and put that into fractional form

3 0

3 years ago

Read 2 more answers

What is the measure of one angle of a regular convex 20-gon

Contact [7]

Answer:

The measure of one angle of a regular convex 20-gon is 162°

Step-by-step explanation:

* Lets explain how to solve the problem

- A convex polygon is a polygon with all the measures of its interior

angles less than 180°

- In any polygon the number of its angles equal the number of its sides

- A regular polygon is a polygon that is all angles are equal in measure

and all sides are equal in length

- The rule of the measure of an angle of a regular polygon is

$m=\frac{(n-2)180}{n}$ , where m is the measure of each interior

angle in the polygon and n is the numbers of the sides or the angles

of the polygon

* Lets solve the problem

- The polygon is convex polygon of 20 sides (20 angles)

- The polygon is regular polygon

∵ The number of the sides of the polygon is 20 sides

∴ n = 20

∵ The polygon is regular

∴ All angles are equal in measures

∵ The measure of each angle is $m=\frac{(n-2)180}{n}$

∴ $m=\frac{(20-2)180}{20}$

∴ $m=\frac{(18)180}{20}$

∴ $m=\frac{3240}{20}$

∴ m = 162

∴ The measure of one angle of a regular convex 20-gon is 162°

5 0

3 years ago

A hardware store rents vacuum cleaners that customers may use for part or all of a day, up to 12 hours, before returning. The st

jek_recluse [69]

The flat fee that the store charges is $14 and the cost for 7 hours is $56

A linear equation is on the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

let f for the total rental cost of a vacuum cleaner for x hours

Using the points (1, 20) and (3, 32) from the table:

$f-f_1=\frac{f_2-f_1}{x_2-x_1} (x-x_1)\\\\f-20=\frac{32-20}{3-1} (x-1)\\\\f(x)=6x+14$

The flat fee that the store charges is $14

The reasonable domain is 1 ≤ x ≤ 12

The cost for 7 hours is:

f(7) = 6(7) + 14 = 46

Find out more on linear equation at: brainly.com/question/14323743

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2 years ago

6 lbs of potatoes cost $72. How many<br> lbs of potatoes can you get with $516?

Rasek [7]

Answer:

Step-by-step explanation:

516 divided by 72 = 7.1. You cant use .1 pound . Then you do 6*7 = 42 pounds of potatoes

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3 years ago