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3 years ago

In the above figure, the radius of curvature is 10 ft and the height of the segment is 2 ft. What's the length of the chord?

Mathematics

2 answers:

mario62 [17]3 years ago

7 0

The answer for the question is 12 ft

Mnenie [13.5K]3 years ago

5 0

Answer will be A. 12 ft.

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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

Find the measure of f.

lora16 [44]

………….The answer is 46

5 0

3 years ago

can someone answer these 2 questions asap and thank you its also double the points because it 2 questions ;)

Juli2301 [7.4K]

r $\leq$ 15.5 (not the one with the line under it i just couldnt find the one that didnt have the line under it)

for the graph, put 16 on the right side and label the lines right to left 16 15.5 14 14.5 etc. Put an open circle on the 15.5 line. then make an arrow pointing to the left.

10:

80 $\leq$ p+64

This is because she needs 80 points OR MORE and (p represents the points) she already has 64. She needs 80 to be less than or equal to the amount of points earned.

The solution is 16 $\leq$ p because 80-64=16 and p is needs to be greater than or equal to 16

7 0

3 years ago

Which table has a constant of proportionality less than 5?

kirill115 [55]

The answer is 49 i think.

4 0

3 years ago

Read 2 more answers

Write an equation of the line that passes through (2,-3) and is perpendicular to the line y=-2x-3

Alina [70]

Answer:

y = 1/2 x - 4

Step-by-step explanation:

slope of perpendicular line is 1/2

y +3 = 1/2 (x -2)

y + 3 = 1/2x - 1

y = 1/2x - 4

3 0

3 years ago