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ladessa [460]
3 years ago
7

Select the correct answer from each drop-down menu. y = x2 + 2x − 1 y − 3x = 5 The pair of points representing the solution set

of this system of equations
Mathematics
1 answer:
katen-ka-za [31]3 years ago
7 0

ANSWER

(-2,-1)

(3,14)

EXPLANATION

The given system is

y =  {x}^{2}  + 2x - 1

y - 3x = 5

or

y = 3x + 5

Equate both of them:

{x}^{2}  + 2x - 1 = 3x + 5

This implies that,

{x}^{2}   - x - 6 = 0

(x - 3)(x + 2) = 0

x=-2 or x=3

When x=-2, y=y=3(-2)+5=-1

(-2,-1) is a solution.

When x=3 , y=3(3)+5=14

(3,14) is also a solution.

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A government report gives a 99% confidence interval for the proportion of welfare recipients who have been receiving welfare ben
juin [17]

Answer:

The estimation for the proportion for this case is \hat p = 0.21

And we know that the 99% confidence interval is given by:

0.21 \pm 0.045

So then the margin of error at 99% of confidence is 0.045, and the margin of error is given by this formula:

ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}  

If we decrease the confidence level this margin of error can't be higher than 0.045 so then the correct answer for this case would be:

d. 21% ± 4.8%

Because if the z value decrease from 2.58 to 1.96 not makes sense that the margin of error increase from 0.045(4.5%) to 0.048(4.8%)

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".  

Solution to the problem

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})  

The confidence interval would be given by this formula  

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}  

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=1.96

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=2.58

The estimation for the proportion for this case is \hat p = 0.21

And we know that the 99% confidence interval is given by:

0.21 \pm 0.045

So then the margin of error at 99% of confidence is 0.045, and the margin of error is given by this formula:

ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}  

If we decrease the confidence level this margin of error can't be higher than 0.045 so then the correct answer for this case would be:

d. 21% ± 4.8%

Because if the z value decrease from 2.58 to 1.96 not makes sense that the margin of error increase from 0.045(4.5%) to 0.048(4.8%)

5 0
3 years ago
The point is located three units to the left of the y-axis<br> and four units above the x-axis.
padilas [110]
(-3,4). Thats the answer.
6 0
3 years ago
Read 2 more answers
Find the measure of the listed angles below.
Natali5045456 [20]

Answer:

30,90

Step-by-step explanation:

because it all adds up to 180

6 0
3 years ago
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Can someone help me with this f(g(x))=2(3x-4)^2+5?
Greeley [361]

Answer:

f(x)=349525

Step-by-step explanation:

f(x)=2(3x-4)^2+5

f(x)= 6x - 8^7

f(x)= 6x - 2,097,152

f(-6x)= - 2,097,152

/-6x       /-6x

f(x)=349525


I hope I am not terribly wrong but I probably am good luck

7 0
3 years ago
Father is four times as old as Mary. Five years ago he was seven times as old. How old is the father now?
melamori03 [73]

Answer:

If Father is four times older than Mary, that would be 4 times 10-- which equals 40. Five years ago, Mary must have been 5 years old. So, multiply 7 and 5 and you'll get 35! Father would have been 35 years old.

I hope this helps!

Step-by-step explanation:

7 0
3 years ago
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