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3 years ago

15

A rectangle’s area is

^2 - x - 72" align="absmiddle" class="latex-formula">. What are the possible dimensions of the rectangle? Use factoring.

1 answer:

Arada [10]3 years ago

8 0

The possible dimensions could be (x+8)(x-9)

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Use the table to answer the question.

Delvig [45]

The answer is 3.45 (C) because 1.15 x 3 = 3.45

8 0

4 years ago

Read 2 more answers

A brewery has a beer dispensing machine that dispenses beer into the company's 12 ounce bottles. The distribution for the amount

-Dominant- [34]

Answer:

The company should use a mean of 12.37 ounces.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The distribution for the amount of beer dispensed by the machine follows a normal distribution with a standard deviation of 0.17 ounce.

This means that $\sigma = 0.17$

The company can control the mean amount of beer dispensed by the machine. What value of the mean should the company use if it wants to guarantee that 98.5% of the bottles contain at least 12 ounces (the amount on the label)?

This is $\mu$ , considering that when $X = 12$ , Z has a p-value of $1 - 0.985 = 0.015$ , so when $X = 12, Z = -2.17$ .

Then

$Z = \frac{X - \mu}{\sigma}$

$-2.17 = \frac{12 - \mu}{0.17}$

$12 - \mu = -2.17*0.17$

$\mu = 12 + 2.17*0.17$

$\mu = 12.37$

The company should use a mean of 12.37 ounces.

7 0

3 years ago

Someone, please help me!! I don't understand

liraira [26]

All triangle equal 180 degrees so add the 53 and 90 and it’s 90 because it’s a right triangle 53+90= 143 then subtract 143 from 190 so 190- 143= 47 so the missing degree is 47

7 0

3 years ago

Evalute j/4 when j = 12

Allushta [10]

Answer: I think the answer is 3

Step-by-step explanation: I Divided 12 by 4 and got the answer 3

8 0

3 years ago

Read 2 more answers

Which 2 values of x are roots of the polynomial below?

Alexxx [7]

Given:

The given polynomial is:

$f(x)=$ $3x^{2}-3x+1$

To find the roots of the given polynomial.

To find the roots we have to take $f(x) = 0$

So,

$3x^{2} -3x+1 = 0$

Formula

By quadratic formula, the root of the equation $ax^{2} +bx+c = 0$ is,

$x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}$ and $\frac{-b-\sqrt{b^{2} -4ac} }{2a}$

Now,

Putting, $a=3, b=-3, c=1$ we get,

$x = \frac{3+\sqrt{3^{2}-4(3)(1) } }{(2)(3)}$ and $\frac{3-\sqrt{3^{2}-4(3)(1) } }{(2)(3)}$

$x = \frac{3+\sqrt{-3} }{6}$ and $x=\frac{3-\sqrt{-3} }{6}$

Hence,

The values of the roots of the given polynomial are $x=\frac{3+\sqrt{-3} }{6}$ and $x=\frac{3-\sqrt{-3} }{6}$

Hence, Option A and F are the correct answer.

5 0

3 years ago