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3 years ago

Describe the error Sarah made when simplifying the expression shown. -5(x-2)=-5x-10

Mathematics

1 answer:

prisoha [69]3 years ago

8 0

The answer will be 1100283738292

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How do you get the slope-intercept form for -2x+3y=15? Please show steps and explain

lukranit [14]

To convert an equation to slope intercept form, you have to isolate the y variable.

-2x + 3y = 15

Add 2x to both sides.

3y = 2x + 15

Divide all terms by 3.

<h3>y = 1.5x + 5 is the original equation in slope-intercept form.</h3>

I hope this answers your question!

8 0

3 years ago

40 points. Factor the following polynomial.

madam [21]

Answer:

Step-by-step explanation:

49y² - x² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

49y² - x²

= (7y)² - x²

= (7y - x )(7y + x) → A

3 0

2 years ago

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the

Vesna [10]

Answer:

A sample size of at least 1,353,733 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

You would like to be 98% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required?

We need a sample size of at least n.

n is found when M = 0.001.

Since we don't have an estimate for the proportion, we use the worst case scenario, that is $\pi = 0.5$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.001 = 2.327\sqrt{\frac{0.5*0.5}{n}}$

$0.001\sqrt{n} = 2.327*0.5$

$\sqrt{n} = \frac{2.327*0.5}{0.001}$

$(\sqrt{n})^{2} = (\frac{2.327*0.5}{0.001})^{2}$

$n = 1353732.25$

Rounding up

A sample size of at least 1,353,733 is required.

5 0

3 years ago

Derivative of this function<br> <br>Y= -7X³ -8X² +6X +3

zaharov [31]

In general, the derivative of a single term Ax^(n) is A n x^(n-1) .

And the derivative of a sum of many terms is the sum of the derivatives
of the individual terms.

Using these two rules, the derivative (with respect to 'x') of the expression
in the question is . . .

<em> Y' = -21x² - 16x + 6</em>

7 0

3 years ago

Find the area 3 yd 10 yd

ss7ja [257]

All you need to do is multiply 3 yards by 10 yards to get 30 square yards.

6 0

3 years ago

Read 2 more answers