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2 years ago

Write the quadratic equation in standard form.

Mathematics

1 answer:

GaryK [48]2 years ago

8 0

Answer:

x² - x - 2 = 0

Step-by-step explanation:

Given:

- 4(x - x²) = 8

Find:

Standards form

Computation:

- 4(x - x²) = 8

(x - x²) = -2

x - x² = -2

x² - x - 2 = 0

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2(x + _) = 2x + 10 Using the distributive property, what number would go in the blank in order for the given statement to be cor

Damm [24]

Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

"one less than the product of a number and 3 is 5 more than the number itself"

Andrej [43]

Answer:

the number is 3

Step-by-step explanation:

Perhaps you'd like to find the number.

If n represents the number, we can write the relationship as ...

3n -1 = n +5

Adding 1-n to both sides gives ...

2n = 6

n = 3 . . . . divide by 2

The number is 3.

_____

<em>Check</em>

The product of the number and 3 is 9. One less is 8. That is 5 more than the number itself: 8 = 3 + 5.

4 0

3 years ago

A survey is to be conducted to determine the average driving in miles by Minnesota State University, Mankato students. The inves

Nadusha1986 [10]

Answer:

$n=(\frac{1.75(8.2)}{1.5})^2 =91.52 \approx 92$

So the answer for this case would be n=92 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =1.5 and we are interested in order to find the value of n, if we solve n from equation (b) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 92% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.04;0;1)", and we got $z_{\alpha/2}=1.75$ , replacing into formula (b) we got: