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Keith_Richards [23]
2 years ago
10

Solve for 50 points y=-16x^2+248x+116

Mathematics
1 answer:
zhuklara [117]2 years ago
8 0

Answer:

x = {-0.454, 15.954}

Step-by-step explanation:

we can solve this equation by putting it into the quadratic formula

x = [-b +/- sqrt(b^2 - 4ac)] / 2a

x = [-248 +/- sqrt(248^2 - 4(-16)(116))] / 2(-16)

x = [-248 +/- sqrt(61504 + 7424)] / -32

x = [-248 +/- sqrt(68928)] / -32

x = (-248 +/- 262.541425) / -32

x = (-248 + 262.541425) / -32

x = (-248 - 262.541425) / -32

x = {-0.454419531, 15.9544195}

rounding to the nearest thousandth would make it x = {-0.454, 15.954}

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(-2,17)(-1,13)(1,5)(2,1)(3,-3)<br> The rate of change is ____.
7nadin3 [17]
Answer:

The rate of change in -4

Step-by-step explanation:

The rate of change is also known as the slope

To do this, take two points {(-2, 17) , (-1, 13)} and find the slope

m = slope

m = change in y/change in x

m = 13 - 17/-1 - (-2)

m = -4/1

m = -4

The rate of change in -4
4 0
3 years ago
Two random samples are taken, with each group asked if they support a particular candidate. A summary of the sample sizes and pr
Minchanka [31]

Answer:

And we got \alpha/2 =0.01 so then the value for \alpha=0.02 and then the confidence level is given by: Conf=1-0.02=0.98[/tex[ or 98%Step-by-step explanation: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".  [tex]p_1 represent the real population proportion for 1

\hat p_1 =0.768 represent the estimated proportion for 1

n_1=92 is the sample size required for 1

p_2 represent the real population proportion for 2

\hat p_2 =0.646 represent the estimated proportion for 2

n_2=95 is the sample size required for 2

z represent the critical value for the margin of error  

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})  

The confidence interval for the difference of two proportions would be given by this formula  

(\hat p_1 -\hat p_2) \pm z_{\alpha/2} \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2 (1-\hat p_2)}{n_2}}  

For this case we have the confidence interval given by: (-0.0313,0.2753). From this we can find the margin of erro on this way:

ME= \frac{0.2753-(-0.0313)}{2}=0.1533

And we know that the margin of erro is given by:

ME=z_{\alpha/2} \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2 (1-\hat p_2)}{n_2}}

We have all the values except the value for z_{\alpha/2}

So we can find it like this:

0.1533=z_{\alpha/2} \sqrt{\frac{0.768(1-0.768)}{92} +\frac{0.646 (1-0.646)}{95}}

And solving for z_{\alpha/2} we got:

z_{\alpha/2}=2.326

And we can find the value for \alpha/2 with the following excel code:

"=1-NORM.DIST(2.326,0,1,TRUE)"

And we got \alpha/2 =0.01 so then the value for \alpha=0.02 and then the confidence level is given by: Conf=1-0.02=0.98 or 98%

7 0
3 years ago
A runner can travel 100 meters in 20 seconds. At that rate, how far does the runner go in 1 minute?
dimaraw [331]

Answer:

he can run 5 meters in 1 min

Step-by-step explanation:

S = d/t

S=100m/20s

S=5m/s

8 0
3 years ago
What percent of 15% of 60
AveGali [126]

Answer:

the answer is 9

Step-by-step explanation:

15/100 ?/60

multiply 60 by 15 to get 900, the divide 900 by 100 to get <em>9</em>

4 0
3 years ago
in rectangle PQRS, shown below, the diagonal PR is 15 meters. if the sine of angle SPR is 7/10, what is the value of RS?
lora16 [44]

Answer:sin =perpendicular/hypotenuse

Step-by-step explanation:

Sin angle is given use tan theta or cos theta to find the RS

5 0
3 years ago
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