Answer:
b. $31.44
Step-by-step explanation:
The tank holds 11.75 gallons. Tim will need to get half of this amount to bring the tank back up to half full; this is
11.75/2 = 5.875
The gas costs $4.50 per gallon; this means the cost is
5.875(4.50) = 26.4375 ≈ 26.44.
There is also a $5 refueling charge; this makes the total cost
26.44+5 = 31.44
Answer:
The parcel with weight less than 20.14 pounds are 99% of all parcels under the surcharge weight.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 12 pounds
Standard Deviation, σ = 3.5 pounds
We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.
Formula:
![z_{score} = \displaystyle\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z_%7Bscore%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
We have to find the value of x such that the probability is 0.99
Calculation the value from standard normal z table, we have,
Thus, parcel with weight less than 20.14 pounds are 99% of all parcels under the surcharge weight.
I conclude the triangle is acute
Given the figure of a cyclic quadrilateral
The sum of the opposite angles = 180
so, we can write the following equations:
![\begin{gathered} x+100=180\rightarrow(1) \\ 2y+102=180\rightarrow(2) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%2B100%3D180%5Crightarrow%281%29%20%5C%5C%202y%2B102%3D180%5Crightarrow%282%29%20%5Cend%7Bgathered%7D)
we will find (x) from equation (1):
x = 180 - 100 = 80
We will find (y) from equation (2):
2y = 180 - 102
2y = 78
y=78/2 = 39
So, the answer will be:
x = 80
y = 39
The ratio is 4:5 girls to boys