Graph those points given, in a cartesian plane grid,
that is, an x,y axis grid
and try to make a straight line from the leftmost, to
the rightmost, they don't really line up as a straight
line, so... try to draw a line that will cover "most of
the points", there will be a couple or so "outliers",
the line that "covers most of the points" is so-called
"best-fit" line, so, using that line, try to get what
"y" is, when x = 3
Answer: 289 ft.
Explanation:
You can form a right triangle with these features:
1) Base = adjacent-leg = 500 feet
2) angle between the hypotenuse and the base = 30° ( I use 30° instead of 30', because 30' does not make sense, it is a too small angle)
3) Height = opposite-leg = height of the Statue of LIberty = x
Now, use the equation for the trigonometric ratio tangent:
tan(angle) = opposite-leg / adjacent-leg
=> tan (30°) = x / 500ft
=> x = 500ft * tan(30°)
x = 288.67 ft which rounded to the nearest foot is 289 ft.
Answer:
She can only fill 10 pages completely.
Step-by-step explanation:
She can fill 10 pages, because 40/10=4. She does not have enough pages left to fill another page fully.
Answer:
Probability that their mean is above 215 is 0.0287.
Step-by-step explanation:
We are given that a bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50.
For this, 40 different applicants are randomly selected.
<em>Let X = ratings for credit</em>
So, X ~ N(
)
Now, the z score probability distribution for sample mean is given by;
Z = 
~ N(0,1)
where, 
= population mean = 200
= standard deviation = 50
= sample mean
n = sample of applicants = 40
So, probability that their mean is above 215 is given by = P( > 215)
P( > 215) = P( > 
) = P(Z > 1.897) = 1 - P(Z 
1.897)
= 1 - 0.97108 = 0.0287
Therefore, probability that their mean is above 215 is 0.0287.
Hey there!
If she missed 4 problems, and that took off 20%, that means 4 is 20% of the total items.
20% is the same as 1/5 of the total amount, since there are 5 20s in 100.
So, we can simply multiply 4 by 5 to get the total amount of problems.
4 x 5 = 20
This means there were 20 problems on the test.
Hope this helps!
