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4 years ago

The question is in the link below

Mathematics

1 answer:

Tom [10]4 years ago

5 0

Answer:

D: -3

Step-by-step explanation:

In order to find a slope of a line from two pairs, one way you can do that is by using a formula.

The formula is as follows:

Y² - Y¹

⁻⁻⁻⁻⁻⁻⁻⁻⁻

X² - X¹

Using this formula, let's plug in our values.

1. Our first Y, is -4. Place that into the equation above for Y².

2. Our second Y, is 8. Place that into Y¹. Wait! Since it's negative in the equation, your positive eight must turn into a -8.

3. Our first X, is 3. Just like our first Y, plug it into your X².

4. Our second X, is -1. Since it is already negative, and the equation is has a negative in it, the negative plus a negative makes the number positive.

Your equation should look like this: (now solve)

-4 - 8 -12

----------- = ------

3 + 1 4

Great, you've made it this far, there's ONE more step! Simplify the problem!

4 goes into 12, 3 times! This is because 4x3 is 12! Since your 12 is negative, your answer MUST stay negative, leaving your answer as -3.

If this leaves you confused, feel free to ask me more questions! :)

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How many zeros does the function ????(x) = 3x^2 + 6x + 2 have? Explain how you know.

maxonik [38]

Answer:

The function has 2 zeros:

$x = -1 - \frac{1}{\sqrt{3}}\\x = -1 + \frac{1}{\sqrt{3}}$

Step-by-step explanation:

When you have a polynomial function, you can identify the grade of the function (the grade is the maximum potency) and this is the number of zeros that the function will have. In this case, you have a second-grade polynomial function that has 2 zeros.

6 0

3 years ago

A 98% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit. A prelimina

BaLLatris [955]

Answer:

$n = (\frac{2.326*1.7}{0.3})^2= 173.73$

And the value for n rounded up would be n = 174

Step-by-step explanation:

We have the following info given:

$s= 1.7$ previous estimation for the deviation

$ME=0.03$ the margin of error desired

$Conf =0.98$ represent the confidence

The Margin of error is given by:

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

If we solve for the value of n we got:

$n= (\frac{z*\sigma}{ME})^2$

For this problem we know that the confidence is 98% so then the significance level would be $\alpha=0.02$ and the critical value would be:

$z_{\alpha/2}= 2.326$

And replacing we got:

$n = (\frac{2.326*1.7}{0.3})^2= 173.73$

And the value for n rounded up would be n = 174

3 0

3 years ago

-7.5÷4.25 Awnser: Explain:

Lana71 [14]

Answer:

the answer is 1.76 I believe

7 0

3 years ago

Read 2 more answers

What is 12/10 as a mixed number?

Crazy boy [7]

Answer:

1 and 2/10

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

An educational organization in California is interested in estimating the mean number of minutes per day that children between t

Hatshy [7]

Answer:

The critical value for a 98% CI is z=2.33.

The 98% confidence interval for the mean is (187.76, 194.84).

Step-by-step explanation:

We have to develop a 98% confidence interval for the mean number of minutes per day that children between the age of 6 and 18 spend watching television per day.

We know the standard deveiation of the population (σ=21.5 min.).

The sample mean is 191.3 minutes, with a sample size n=200.

The z-value for a 98% CI is z=2.33, from the table of the standard normal distribution.

The margin of error is:

$E=z\cdot \sigma/\sqrt{n}=2.33*21.5/\sqrt{200}=50.095/14.142=3.54$

With this margin of error, we can calculate the lower and upper bounds of the CI:

$LL=\bar x-z\cdot\sigma/\sqrt{n}=191.3-3.54=187.76\\\\\\UL=\bar x+z\cdot\sigma/\sqrt{n}=191.3+3.54=194.84$

The 98% confidence interval for the mean is (187.76, 194.84).

4 0

3 years ago