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3 years ago

X+2x^1/2 -63 solve for x

1 answer:

6 0

You factor this out. So x+2x^(1/2)-63. Factors into (x^(1/2)+9)(x^(1/2)-7). If you distribute it, you can see it gives you your original equation

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The National Transportation Safety Board publishes statistics on the number of automobile crashes that people in various age gro

ra1l [238]

Answer:

a) Null hypothesis: $p\leq 0.12$

Alternative hypothesis: $p > 0.12$

b) $z_{\alpha}=1.64$

c) $z=\frac{0.134 -0.12}{\sqrt{\frac{0.12(1-0.12)}{1000}}}=1.362$

d) $p_v =P(z>1.362)=0.0866$

e) For this case since the statistic is lower than the critical value and the p value higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we don't have information to conclude that the true proportion is higher than 0.12

Step-by-step explanation:

Information given

n=1000 represent the random sample selected

X=134 represent the number of young drivers ages 18 – 24 that had an accident

$\hat p=\frac{134}{1000}=0.134$ estimated proportion of young drivers ages 18 – 24 that had an accident

$p_o=0.12$ is the value that we want to verify

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic

$p_v{/tex} represent the p valuePart aWe want to verify if the population proportion of young drivers, ages 18 – 24, having accidents is greater than 12%: Null hypothesis:[tex]p\leq 0.12$

Alternative hypothesis: $p > 0.12$

The statistic would be given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Part b

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.05 of the area in the right and we got:

$z_{\alpha}=1.64$

Part c

For this case the statistic would be given by:

$z=\frac{0.134 -0.12}{\sqrt{\frac{0.12(1-0.12)}{1000}}}=1.362$

Part d

The p value can be calculated with the following probability:

$p_v =P(z>1.362)=0.0866$

Part e

For this case since the statistic is lower than the critical value and the p value higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we don't have information to conclude that the true proportion is higher than 0.12

8 0

3 years ago

1) 5.10-2.8.16. 10-1

const2013 [10]

Answer: -2511 (if the periods mean multiplication)

Step-by-step explanation:

I’m not sure whether you’re trying to have the periods be multiplication, but if that’s what they are, this is the answer

5x10-2x8x16x10-1

50-16x160-1

50-2560-1

-2511

Again, I’m not sure if that’s what you mean but I can’t really see what else they would mean since you can’t have a 3 part decimal

5 0

3 years ago

A circle's radius is 14 centimeters.

spayn [35]

Answer:

Circumference of circle = 87.92 centimeter

Step-by-step explanation:

In the given question;

Radius of circle = 14 centimeters

Value of π = 3.14

Find:

Circumference of circle

Computation:

⇒ Circumference of circle = 2πr

where r = Radius of circle

⇒ Circumference of circle = 2(3.14)(14)

⇒ Circumference of circle = (6.28)(14)

Circumference of circle = 87.92 centimeter

4 0

3 years ago

What is the measure of b if a=20 and c=29. using the pythagorean theorem

kicyunya [14]

Since a^2+b^2=c^2 becomes 20^2+b^2=29^2, we solve for b:

400+b^2=841

b^2=441

b=21

So the length of b is 21 units.

Hope this helped!

5 0

3 years ago

Read 2 more answers

How did your position affect the vital capacity of your lungs? Suggest an explanation for any difference you found .

finlep [7]

Answer:

sdf

Step-by-step explanation:

dsf

4 0

3 years ago