Notice the picture
we have, the opposite side
the angle
and we want the hypotenuse
so recall your SOH CAH TOA
which one has all that? low and behold, is Ms Sine,
so let's bother Ms Sine
make sure your calculator is in Degree mode, since the angle here is in degrees, as opposed to Radian mode
Answer:
15.87% probability that a randomly selected individual will be between 185 and 190 pounds
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the probability that a randomly selected individual will be between 185 and 190 pounds?
This probability is the pvalue of Z when X = 190 subtracted by the pvalue of Z when X = 185. So
X = 190
has a pvalue of 0.8944
X = 185
has a pvalue of 0.7357
0.8944 - 0.7357 = 0.1587
15.87% probability that a randomly selected individual will be between 185 and 190 pounds
Answer:
y = 2x - 3
Yes, your answer is correct.
Step-by-step explanation:
First, find the slope of the two points by using the slope formula:
y2 - y1
m = -------------
x2 - x1
13 - 5
m = -------------
8 - 4
8
m = ------- = 2
4
To find the y-intercept, plug in values into the slope-intercept formula:
y = mx + b
Where m = slope and b= y-intercept. Use any one of the points. I'll be using (4,5):
5 = (2) (4) + b
5 = 8 + b
-3 = b
b = -3
So, putting everything into the slope intercept formula:
y = 2x - 3
Answer:
2x for the first term
The whole thing is 2x+3
Step-by-step explanation:
Think of it like normal division
What will get the closest answer to 2x^2+x?
2x*x-1=2x^2-2x
Now the expression is 3x-3 so if you but 3 than it becomes 3x-3 which would be a remainder of 0
