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Andrews [41]
2 years ago
11

Tyrone makes a scale drawing of his backyard. The scale from the

Mathematics
2 answers:
Gnesinka [82]2 years ago
3 0

Answer:

16:8 is the width of the patio

Andrej [43]2 years ago
3 0

Answer:

16

Step-by-step explanation:

im doing the same thing the answer is 16

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In a college student poll, it is of interest to estimate the proportion p of students in favor of changing from a quarter-system
Contact [7]

Answer:

n=206

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{\hat p(1-\hat 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:

t_{\alpha/2}=-2.58, t_{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 0.09, we can use as prior estimate of p 0.5, since we don't have any other info provided, 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)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.09}{2.58})^2}=205.44  

And rounded up we have that n=206

3 0
3 years ago
When the value of the y-intercept(b) change by subtracting a number from "b" in the equation "y=mx+b", the graph will move of sh
ehidna [41]

Answer:

True. The graph will shift down if we subtract a number from "b"

Step-by-step explanation:

"b" represents the y-intercept, or how high up on the y axis the graph intersects.

If we don't change anything except for the y-intercept, then the graph should only move up or down.

Because we are decreasing the value of "b" the y intercept will decrease, dragging the graph of y down.

6 0
3 years ago
Given the parent function f(x) = x give the best description of the graph of y = x3 +3.
oee [108]

Answer: A

Step-by-step explanation:

just took it

6 0
3 years ago
Please help ASAP. I am confused
Lesechka [4]

Answer:

So if ∠X is 70° then ∠Y is most likely going to be 70° as well. So if you take 180° which is a straight line and subtract both of the 70°'s you'd get 40°. This answer seems pretty accurate to me.

Step-by-step explanation:

Hope this helps you out! :)

(If any question s put them below and I'll try my best to answer them)

3 0
2 years ago
A travel agency has 2,106 people registered for a trip. Each tour bus can seat 54 people.
mariarad [96]

Answer:

39 buses

Step-by-step explanation:

2,106 ÷ 54 = 39

8 0
2 years ago
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