Answer:
h = 5.4
Step-by-step explanation:
Basically these are 2 similar triangles. That means:
Corresponding sides are proportional.
We can set up a ratio of each triangle separately and equate, cross multiply and solve for "h".
h corresponds to 2.4
2.9 corresponds to 1.3
Setting up the ratio and solving for h:
Rounded to 1 decimal place,
h = 5.4
Answer:
= 35 - 13n
Step-by-step explanation:
Assuming you require the n th term formula
The n th term of an arithmetic sequence is
= a₁ + (n- 1)d
where a₁ is the first term and d the common difference
Here a₁ = 22 and d = - 13, thus
= 22 - 13(n - 1) = 22 - 13n + 13 = 35 - 13n
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