Step-by-step explanation:
Given that,
a)
X ~ Bernoulli 
and Y ~ Bernoulli 
X + Y = Z
The possible value for Z are Z = 0 when X = 0 and Y = 0
and Z = 1 when X = 0 and Y = 1 or when X = 1 and Y = 0
If X and Y can not be both equal to 1 , then the probability mass function of the random variable Z takes on the value of 0 for any value of Z other than 0 and 1,
Therefore Z is a Bernoulli random variable
b)
If X and Y can not be both equal to 1
then,
or 
and 
c)
If both X = 1 and Y = 1 then Z = 2
The possible values of the random variable Z are 0, 1 and 2.
since a Bernoulli variable should be take on only values 0 and 1 the random variable Z does not have Bernoulli distribution
When the firecracker hits the ground, H(t) = 0.0 = -16t^2 + 90t + 160 Using the quadratic formula,t = (-90 +- sqrt(90^2 - 4(-16)(160))) / 2(-16)t = -1.42 ort = 7.04
The negative time is extraneous. Therefore,t = 7.04 s.
Seven Seconds is your answer!
Answer:
$36.69
Step-by-step explanation:
Okay, so let's first write the equation:
2.59*10 + 3d = 135.97
Now, let's work on isolating d by first simplifying the equation:
25.9 + 3d = 135.97
25.9 + 3d - 25.9 = 135.97 - 25.9
3d = 110.07
3d/3 = 110.07/3
d = 36.69
Okay, now let's check:
2.59*10 + 3*36.69 = 135.97
25.9 + 110.07 = 135.97
135.97 = 135.97
Okay, so so it costs $36.69 per pair of shoe.
Answer:
Step-by-step explanation:
b) Parallelogram
c) Square
d) Parallelogram***
***Not too sure about this one.
