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Vera_Pavlovna [14]
3 years ago
10

Help this is confusing

Mathematics
1 answer:
Novay_Z [31]3 years ago
7 0
What is confusing???
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A triangle has a side length of 10 inches and a side length of 3 inches. What could be the length in inches of the third side of
Leya [2.2K]
I think u need to multiply I don’t really know
4 0
2 years ago
3. Using the sample size of 800 and the proportion 0.47, calculate the margin of error associated with the estimate of the propo
salantis [7]

Answer:

ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346  

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

We assume for this case a confidence level of 95%. 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 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the mean is given by the following formula:  

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

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 if we replace the values obtained we got this:

ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346  

6 0
3 years ago
The length of a rectangle is 3 less than twice the width. Write a function rule for the perimeter in terms of w, the width
Nitella [24]

l = 2w-3

P = 2(l+w)

substitute in for l

P = 2(2w-3 +w)

combine like terms

P = 2(3w-3)

P = 6w-6

P(w) = 6(w-1)


3 0
2 years ago
Read 2 more answers
How do i cross multiply rational equations? EX: 6/x = 4/3
aliya0001 [1]
You would multiply 6 by 3 and x by 4. You would end up getting 4x = 18 and then you simplify that to get 9/2 or 4.5.
3 0
3 years ago
Read 2 more answers
When paid flat a round parachute has a diameter of 8 meters. What is the parachute’s circumference
mariarad [96]

Answer:

25.12 meters

Step-by-step explanation:

The circumference of a circle is given by

c=2\pi r (1)

where:

\pi\sim 3.14

r is the radius of the circle

In this problem, the parachute has a diameter of 8 meters:

d = 8 m

The radius of a circle is equal to half of its diameter, so the radius of the parachute is:

r=\frac{d}{2}=\frac{8}{2}=4 m

And therefore, by applying eq.(1) we can find the circumference of the circle:

c=2\pi r=2\cdot 3.14 \cdot 4 = 25.12 m

7 0
3 years ago
Read 2 more answers
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