Answer:
tan(C) = 3/4
Step-by-step explanation:
If the sine of angle C is 3/5 and we want to find the tangent of the angle C, we can first find the cosine of angle C using the following equation:
![sin^2(C) + cos^2(C) = 1](https://tex.z-dn.net/?f=sin%5E2%28C%29%20%2B%20cos%5E2%28C%29%20%3D%201)
![(3/5)^2 + cos^2(C) = 1](https://tex.z-dn.net/?f=%283%2F5%29%5E2%20%2B%20cos%5E2%28C%29%20%3D%201)
![cos^2(C) = 1 - 9/25](https://tex.z-dn.net/?f=cos%5E2%28C%29%20%3D%201%20-%209%2F25)
![cos^2(C) = 16/25](https://tex.z-dn.net/?f=cos%5E2%28C%29%20%3D%2016%2F25)
![cos(C) = 4/5](https://tex.z-dn.net/?f=cos%28C%29%20%3D%204%2F5)
Then, we can find the tangent relation using the equation:
![tan(C) = sin(C) / cos(C)](https://tex.z-dn.net/?f=tan%28C%29%20%3D%20sin%28C%29%20%2F%20cos%28C%29)
![tan(C) = (3/5) / (4/5)](https://tex.z-dn.net/?f=tan%28C%29%20%3D%20%283%2F5%29%20%2F%20%284%2F5%29)
![tan(C) = 3/4](https://tex.z-dn.net/?f=tan%28C%29%20%3D%203%2F4)
Answer:
To calculate what you need, multiply the walkway's width and length to find the square footage.
Step-by-step explanation:
To calculate what you need, multiply the walkway's width and length to find the square footage; for example a 4-foot-wide, 50-foot-long walkway covers 200 square feet. Next, factor in the thickness: 4 inches converts to 0.33 feet; multiply this by the square footage to find the cubic feet: 200 x 0.33 = 66 cubic feet.
Quadrants go counter-clockwise
Quadrant 1: Positive x and y
Quadrant 2: Negative x, positive y
Quadrant 3: Negative x and y
Quadrant 4: Positive x, negative y
So for this particular, point for the graph what would it be? \
Keep in myind what I said
Answer:
His standardized score was Z = 1.62. This means that his finishing time is 1.62 standard deviations above the finishing time for men in the local marathon.
Step-by-step explanation:
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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.
The distribution of finishing time for men was approximately normal with mean 242 minutes and standard deviation 29 minutes.
This means that ![\mu = 242, \sigma = 29](https://tex.z-dn.net/?f=%5Cmu%20%3D%20242%2C%20%5Csigma%20%3D%2029)
(a) The finishing time for Clay was 289 minutes. Calculate and interpret the standardized score for Clay’s marathon time. Show your work.
This is Z when X = 289.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{289 - 242}{29}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B289%20-%20242%7D%7B29%7D)
![Z = 1.62](https://tex.z-dn.net/?f=Z%20%3D%201.62)
His standardized score was Z = 1.62. This means that his finishing time is 1.62 standard deviations above the finishing time for men in the local marathon.
Answer:
60
Step-by-step explanation:
Let the number of dog owners and cat owners be 4x and 5x
4x = 48
x = 48/4
x = 12
Therefore 5x = 5×12
= 60