I am going to simplify the top before simplifying the rest.

tan = sin/cos, so tan * cos simplifies down to sin in the numerator. which leaves sin/sin which equals 1.

to make a long story short the answer is 1

4 0

3 years ago

In a large school district, 16 of 85 randomly selected high school seniors play a varsity sport. in the same district, 19 of 67

Mashcka [7]

Answer:

Standard Error of the difference = 0.0695

Step-by-step explanation:

Its given that : In a large school district, 16 of 85 randomly selected high school seniors play a varsity sport

$\implies P_1=\frac{16}{85}\\\\n_1=85$

Also, in the same district, 19 of 67 randomly selected high school juniors play a varsity sport

$\implies P_1=\frac{19}{67}\\\\n_2=67$

Now, finding the standard error of the difference :

$\text{Standard Error = }\sqrt{\frac{P_1(1-P_1)}{n_1}+\frac{P_2(1-P_2)}{n_2}}\\\\\implies \text{Standard Error = }\sqrt{\frac{\frac{16}{85}(1-\frac{16}{85})}{85}+\frac{\frac{19}{67}(1-\frac{19}{67})}{67}}\\\\\implies\text{Standard Error = }0.0695$

Hence, Standard Error of the difference = 0.0695

6 0

3 years ago

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The heights of adult men in America are normally distributed, with a mean of 69.1 inches and standard deviation of 2.65 inches.

Allisa [31]

So step by step explanation

8 0

3 years ago

The scatterplot shows the highway miles per gallon and city miles per gallon for 8 different car models.

Firdavs [7]

Answer:

The best prediction will be B) 35

Step-by-step explanation:

By looking at the scatterplot ,

we can see that it the City MPG vs Highway MPG approximately falls on a straight line.

we can either find the slope of it ( which might be a little out of syllabus ) or we can extend the line connecting the maximum number of points.

When we do so, We get a line as attached in the diagram.

And we extend it.

From the graph attached we find that the value of City MPG falls somewhere in between the lines of 30 and 35 ( though this is just and approximation).

thus the more appropriate answer would be : 35

Download docx

5 0

3 years ago

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