16n+18 Is The Answer
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Answer:
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Answer:
a. P(X = 2) = 0.2
b. P(X = 3) = 0.3
c. P(X > 2.5) = 0.7
d. P(X = 1) = 0.1
e. Mean = 3
f. Variance = 1
Step-by-step explanation:
As given,
Probability mass function (pmf) =
Now,
a. P(X = 2) = = 0.2
b. P(X = 3) = = 0.3
c. P(X > 2.5) = P(X = 3) + P(X = 4) = = 0.3 + 0.4 = 0.7
d. P(X = 1) = = 0.1
e. Mean = E(X) = = 0.1 + 0.4 + 0.9 + 1.6 = 3
f. Variance = E(X²) - [ E(X) ]² = - [3]²
= 0.1 + 0.8 + 2.7 + 6.4 - 9
= 10 - 9 = 1
∴ we get
a. P(X = 2) = 0.2
b. P(X = 3) = 0.3
c. P(X > 2.5) = 0.7
d. P(X = 1) = 0.1
e. Mean = 3
f. Variance = 1
Answer:
x = 3
Step-by-step explanation:
5x - 2 = 3x + 4
2x = 6
x = 3
Answer:
Area of the triangle covered by the cars = 910.45 square km
Step-by-step explanation:
Since, all the sides of triangle ABC are given,
And formula for the area of a triangle with all sides given is,
Area =
Here, s =
And a, b, c are the measures of the sides of the triangle.
If a = 39 km, b = 87 km and c = 58 km
s =
s = 92
Therefore, (s - a) = 92 - 39
= 53
(s - b) = 92 - 87
= 5
(s - c) = 92 - 58
= 34
Now area of the triangle ABC =
=
= 910.45 km²
Area of the triangle covered by the cars = 910.45 square km