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Dmitry_Shevchenko [17]
3 years ago
11

Help me with this please !!!! I will give you 50 POINTS!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Mumz [18]3 years ago
5 0

Answer:

Option A

Step-by-step explanation:

Option A

f(x) = -3(x + 7)(x + 4),

Remember that to solve for the x-intercepts we equate y to 0,

-3(x + 7)(x + 4) = 0

Using the zero product property,

x + 7 = 0, x + 4 = 0

x = - 7, x = -4

x -intercepts: (- 7, 0) & (- 4, 0)

Hence proved.

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f the dean wanted to estimate the proportion of all students receiving financial aid to within 3% with 99% reliability, how many
Oksanka [162]

Answer:

n=1849

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".  

The population proportion have the following distribution

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

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The margin of error for the proportion interval is given by this formula:  

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

And on this case we have that ME =\pm 0.03 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

Assuming that the proportion is estimated \hat p =0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{2.58})^2}=1849  

And rounded up we have that n=1849

7 0
3 years ago
Find the percent decrease. Round to the nearest percent.
shutvik [7]

Answer:

decrease 3%

Step-by-step explanation:

sana makatulongggg

4 0
3 years ago
What's the answer to the equation of 4x^2+25<br> and show yor work please and thank you
padilas [110]
4x^2+25=4x^2=-25=x^2=-25/4 has no solution. because, negative number do not live under radical except complex number
4 0
3 years ago
Can someone help me answer this please
Citrus2011 [14]

Answer:

N = 3/8

Step-by-step explanation:

let the number be N

let's express the word sentence as a mathematical expression:

"a number multiplied by 2/5"

= "N" multiplied by 2/5

= N x (2/5)

= (2N/5) ------- (1)

"a number multiplied by 2/5 is 3/20" can be written as:

(2N/5)    =  3/20  (multiplying both sides by 5)

2N = (3/20) x 5

2N = 3/4      (divide both sides by 2)

N = (3/4) ÷ 2

N = (3/4) x (1/2)

N = 3/8

6 0
3 years ago
Bennett is setting up a light display for a wedding with two 10-foot strands of lights. The lights will be attached to the top o
Anuta_ua [19.1K]

Answer:

7.1

Step-by-step explanation:

write pythagorean theorem x^{2} + x^{2} = 10^2

2x^2 = 100

divide 2 both side:

x^{2} = 50

\sqrt{x^2} = \sqrt{50}

x = \sqrt{50}

x = 7.07106781

round to nearest tenth:

x = 7.1

8 0
3 years ago
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