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3 years ago

Translate to the inequality a number is at least 8 the answer is _,_,_ (use x the variable)

1 answer:

7 0

X≥8
So x has to be at the VERY LEAST 8, so it can be 8, that's what the line under the greater than sign equals, but it can't be less than 8 so you would need the greater than sign not the less than

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Given x(y + 2) = 3x + y, express y in terms of x.

vodka [1.7K]

Answer:

y = $\frac{x}{x-1}$

Step-by-step explanation:

Given

x(y + 2) = 3x + y ← distribute parenthesis on left side

xy + 2x = 3x + y ( subtract 2x from both sides )

xy = x + y ( subtract y from both sides )

xy - y = x ← factor out y from each term on the left side )

y(x - 1) = x ← divide both sides by (x - 1)

y = $\frac{x}{x-1}$

6 0

3 years ago

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is

yan [13]

Answer:

No, there is not sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.

This means that the null hypothesis is:

$H_{0}: \mu = 434$

It is believed that the machine is underfilling the bags.

This means that the alternate hypothesis is:

$H_{a}: \mu < 434$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

434 is tested at the null hypothesis:

This means that $\mu = 434$

A 9 bag sample had a mean of 431 grams with a variance of 144.

This means that $X = 431, n = 9, \sigma = \sqrt{144} = 12$

Value of the test-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}$

$z = -0.75$

P-value of the test:

The pvalue of the test is the pvalue of z = -0.75, which is 0.2266

0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.

7 0

3 years ago

4. The system of equations is grap Explain why the system of equations has no solution.

Anna11 [10]

The system is the incorrect option
If you see closely in number 4

4 0

3 years ago

Find the length of each side of a square when the perimeter is 64

stepan [7]

A square has 4 equal sides

So simply divide the perimeter by 4 sides to find the length.

64 ÷ 4 = 16

The length of each side of the square is 16 units.

4 0

3 years ago

The area of a fenced in back yard can be 144 square feet. The owners are trying to decide on the dimensions of the back yard, an

WINSTONCH [101]

A rectangle can be defined as a 4 sided geometric figure. One side of a rectangle is longer than the other sides. A rectangle can also be referred to as a quadrilateral.

The dimensions of the background are given as Width: 8 feet and the Length: 18 feet

The formula for the area of a rectangle is Length x Width.

The question says:

The owners want the length to be 10 feet more than its width. Hence:

L = W + 10

The area of the fenced backyard = 144 square feet.

Hence,

(W + 10) x W = 144

W² + 10W = 144

Rewriting the equation

W² + 10W - 144 = 0

We factorize the algebraic expression above

W² - 8W + 18W - 144 = 0

W(W - 8) + 18(W - 8) = 0

(W - 8) (W + 18) = 0

W - 8 = 0, W = 8

W + 18 = 0, W = -18

Since the width cannot be a negative value, the width of the backyard is 8 feet

Solving for the Length,

L = W + 10

L = 8 + 10

L = 18 feet

The length of the backyard is 18 feet.

Therefore, the dimensions of the backyard are Width: 8 feet and Length: 18 feet.

To learn more, visit the link below:

brainly.com/question/9720917

6 0

3 years ago