Answer:
D
Step-by-step explanation:
It is dilation because transformation is moving and sliding, rotation is spinning, reflection is a mirroring of the shape upon a certain line or axis, and dilation is the change in size leaving 1 point the same.
First, all the heights have to be converted to similar units, say feet.
Therefore,
Building= 20 feet
Tree = 252*0.083333 = 21 feet
Flagpole = 6*3 = 18 feet
The tallest of the three is the tree and thus should cast the longest shadow. However, it should be noted that at exactly noon when the sun is overhead, all the three will have equal length of shadow (that is, 0 feet long).
Answer:
a) The probability that the airline will lose no bags next monday is 0.1108
b) The probability that the airline will lose 0,1, or 2 bags next Monday is 0.6227
c) I would recommend taking a Poisson model with mean 4.4 instead of a Poisson model with mean 2.2
Step-by-step explanation:
The probability mass function of X, for which we denote the amount of bags lost next monday is given by this formula
![P(X=k) = \frac{e^{-2.2} * {2.2}^k }{k!}](https://tex.z-dn.net/?f=%20P%28X%3Dk%29%20%3D%20%5Cfrac%7Be%5E%7B-2.2%7D%20%2A%20%7B2.2%7D%5Ek%20%7D%7Bk%21%7D%20)
a)
![P(X=0) = \frac{e^{-2.2} * {2.2}^0 }{0!} = 0.1108](https://tex.z-dn.net/?f=%20%20P%28X%3D0%29%20%3D%20%5Cfrac%7Be%5E%7B-2.2%7D%20%2A%20%7B2.2%7D%5E0%20%7D%7B0%21%7D%20%3D%200.1108%20)
The probability that the airline will lose no bags next monday is 0.1108.
b) Note that
. And
![P(X=0)+P(X=1)+P(X=2) = e^{-2.2} * (1 + 2.2 + 2.2^2/2) = 0.6227](https://tex.z-dn.net/?f=P%28X%3D0%29%2BP%28X%3D1%29%2BP%28X%3D2%29%20%3D%20e%5E%7B-2.2%7D%20%2A%20%281%20%2B%202.2%20%2B%202.2%5E2%2F2%29%20%3D%200.6227)
Therefore, the probability that the airline will lose 0,1, or 2 bags next Monday is 0.6227.
c) If the double of flights are taken, then you at least should expect to loose a similar proportion in bags, because you will have more chances for a bag to be lost. WIth this in mind, we can correctly think that the average amount of bags that will be lost each day will double. Thus, i would double the mean of the Poisson model, in other words, i would take a Poisson model with mean 4.4, instead of 2.2.
Answer:
72.7
Step-by-step explanation:
First multiply 72 by 10
because 72 is 72 10s, making it a whole number.
then add 720 (72 times 10) to 7.
then all of that over 10.
then just divide.
727/10
72.7
this is what you do for all mixed numbers like that one.
Answer:
I think it’s the first one, A