Using it's formula, it is found that the mean of the discrete random variable is given by:
B. 30.47.
<h3>What is the mean of a discrete distribution?</h3>
The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.
Hence, considering the table, the mean of the discrete distribution is:
E(X) = 23 x 0.16 + 25 x 0.09 + 26 x 0.18 + 31 x 0.12 + 34 x 0.24 + 38 x 0.21 = 30.47.
Hence option B is correct.
More can be learned about the mean of a discrete random variable at brainly.com/question/26660401
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Answer:
13 in
Step-by-step explanation:
let w be width then length is w + 6
the area (A) of a rectangle is calculated as
A = length × width , then
A = w(w + 6) = 91 , that is
w² + 6w = 91 ( subtract 91 from both sides )
w² + 6w - 91 = 0 ← in standard quadratic form
(w + 13)(w - 7) = 0 ← in factored form
equate each factor to zero and solve for w
w + 13 = 0 ⇒ w = - 13
w - 7 = 0 ⇒ w = 7
however, w > 0 then w = 7
and length = w + 6 = 7 + 6 = 13 in
Come on now, Tayala !
What if I say to you:
"Start with 3 cows, take away 7 cows, and then add 14 cows. How many are there ?"
Don't let the little 't' scare you. It doesn't matter one bit what 't' really is. It can be
a number, a teacher, a tiger, or a teacup. Whatever it is, you start with 3 of them,
take away 7 of them, and then add on 14 of them. How many are there ?
Hint: If there are not ten of them, then go back and look at the cows again.
Answer:
x= 3/17
Step-by-step explanation:
4x(2x+6) =8x^2(23-5)
8x^2 +24x = 144 x^2
24x = 136 x^2
24= 136 x
x=24/136
x=3/17
3(5z - 7) + 2(9z - 11) = 4(8z - 7) - 111
15z - 21 + 18z - 22 = 32z - 28 - 111
33z - 43 = 32z - 139
33z - 32z = -139 + 43
z = - 96
