Answer:
See explanation
Step-by-step explanation:
A. Gasoline fill-up fee = $4.50
Cost per hour = $40
Average cost = C
Number of hours the scootcar is rented = h
Cost per h hours = $40h
Total cost = $40h + $4.50
Hence,
C = 40h+4.5
B. To plot the graph of the function, find h- and C- intercepts.
When h = 0, then C = 4.5, and we have point (0,4.5)
When C = 0, then 0 = 40h + 4.5, h = -45/400 = -0.1125, and we have point (-0.1125,0)
Plot these two points and connect them with a straight line.
Graph is attached, but you should take only that part of the graph that corresponds to points with h > 0, because the number of hours cannot be negative
Answer:
0.132
Step-by-step explanation:
4.4%*3=0.132
Answer:
B. 6.3%
Step-by-step explanation:
For each time that the coin is tosse, there are only two possible outcomes. Either it comes up tails, or it does not. The probability of coming up tails on a toss is independent of any other toss. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Fair coin:
Equally as likely to come up heads or tails, so 
Probability that the first tails comes up on the 4th flip of the coin?
0 tails during the first three, which is P(X = 0) when n = 3.
Tails in the fourth, with probability 0.5. So
0.0625 * 100 = 6.25%
Rounding to the nearest tenth of a percent, the correct answer is:
B. 6.3%
The linear correlation coefficient is 
Explanation:
It is given that 
, 
, 
, 
and 
Also, the random sample is 
The formula to determine the correlation coefficient is given by
![$r=\frac{n\left(\sum x y\right)-\left(\sum x\right)(\Sigma y)}{\sqrt{\left[n \sum x^{2}-\left(\sum x\right)^{2}\right]\left[n \Sigma y^{2}-(\Sigma y)^{2}\right]}}$](https://tex.z-dn.net/?f=%24r%3D%5Cfrac%7Bn%5Cleft%28%5Csum%20x%20y%5Cright%29-%5Cleft%28%5Csum%20x%5Cright%29%28%5CSigma%20y%29%7D%7B%5Csqrt%7B%5Cleft%5Bn%20%5Csum%20x%5E%7B2%7D-%5Cleft%28%5Csum%20x%5Cright%29%5E%7B2%7D%5Cright%5D%5Cleft%5Bn%20%5CSigma%20y%5E%7B2%7D-%28%5CSigma%20y%29%5E%7B2%7D%5Cright%5D%7D%7D%24)
Substituting the values in the formula, we have,
![$r=\frac{10(1676)-(108)(138)}{\sqrt{\left[10(1249)-(108)^{2}\right]\left[10(2280)-(138)^{2}\right]}}$](https://tex.z-dn.net/?f=%24r%3D%5Cfrac%7B10%281676%29-%28108%29%28138%29%7D%7B%5Csqrt%7B%5Cleft%5B10%281249%29-%28108%29%5E%7B2%7D%5Cright%5D%5Cleft%5B10%282280%29-%28138%29%5E%7B2%7D%5Cright%5D%7D%7D%24)
Simplifying the values, we get,
![$r=\frac{16760-14904}{\sqrt{\left[12490-11664\right]\left[22800-19044\right]}}$](https://tex.z-dn.net/?f=%24r%3D%5Cfrac%7B16760-14904%7D%7B%5Csqrt%7B%5Cleft%5B12490-11664%5Cright%5D%5Cleft%5B22800-19044%5Cright%5D%7D%7D%24)
Subtracting the values in both numerator and denominator, we have,
![$r=\frac{1856}{\sqrt{\left[826\right]\left[3756\right]}}$](https://tex.z-dn.net/?f=%24r%3D%5Cfrac%7B1856%7D%7B%5Csqrt%7B%5Cleft%5B826%5Cright%5D%5Cleft%5B3756%5Cright%5D%7D%7D%24)
Multiplying the denominator,
Simplifying, we have,
Dividing, we get,
Thus, the linear correlation coefficient is
We know the two angles add up to 180
5x + 134 + 2x + 32 = 180
Combine like terms
7x + 166 = 180
Subtract both sides by 166
7x = 14
Divide both sides by 7
x = 2
Have an awesome day! :)
