Answer:
The first one is KL and the second one is FG
Step-by-step explanation
Answer:
f^-1 (x) = - 6x-1 / 10 + 9x
Answer: $536.40
Step-by-step explanation:
8.94 * 2 = 17.88
8.94(40) + 17.88(10)
357.60 + 178.80 = $536.40
Answer:
52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425
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:
![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.
In this question, we have that:
![\mu = 387.20, \sigma = 68.50](https://tex.z-dn.net/?f=%5Cmu%20%3D%20387.20%2C%20%5Csigma%20%3D%2068.50)
What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?
This is the pvalue of Z when X = 425 subtracted by the pvalue of Z when X = 325. So
X = 425
![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{425 - 387.20}{68.50}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B425%20-%20387.20%7D%7B68.50%7D)
![Z = 0.55](https://tex.z-dn.net/?f=Z%20%3D%200.55)
has a pvalue of 0.7088
X = 325
![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{325 - 387.20}{68.50}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B325%20-%20387.20%7D%7B68.50%7D)
![Z = -0.91](https://tex.z-dn.net/?f=Z%20%3D%20-0.91)
has a pvalue of 0.1814
0.7088 - 0.1814 = 0.5274
52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425
The probability of getting a 2 or a getting a black card, find individual probabilities;
A standard deck has 52 cards.
There are 4 2's in a normal deck; probability of getting it is 4/25
The probability of getting a black card is; 26/52 since half the deck is red and black.
Now add up the probabilities since it says "or"
(4/52)+(26/52)=30/52 probability of the card that you were dealt being a two or a black card.
Hope I helped :)