Answer:
Event A = { Chevrolet , Buick }
Event B = { Ford , Lincoln }
Event C = { Toyota }
Step-by-step explanation:
- Mutually exclusive events are such that their probability of coming true simultaneously is zero. If we consider set notations we could say.
P (A & B) = P (B & C) = P (A & C) = 0
- In our case these events A,B, and C can be defined as:
Answer:
Event A = { Chevrolet , Buick }
Event B = { Ford , Lincoln }
Event C = { Toyota }
Jason has x dollars, and Ryan has 5 more dollars than Jason. How many dollars does Ryan have? How many dollars do both boys have?
Jason has x
Ryan has x + 5
both boys have x + x + 5 = 2x + 5
Complete Question: Check the file attached to this document to see the complete question
Answer:
P(X < 7) = 0.76
Step-by-step explanation:
Counting properly from the diagram attached to the question,
number of trials it took her to make less than 7 shots(i.e. 0 to 6 shots) = 38
The total number of trials she made = 50
Probability that it takes fewer than 7 shots to get her first successful shot, P(X < 7) = (number of trials it took to make less than 7 shots)/(Total number of trials)
P(X < 7) = 38/50
P(X < 7) = 0.76
A zero of a function is the value of x for which f(x) = 0
f(x) = 16x^2 + 32x - 9 = 0
16x^2 - 4x + 36x - 9 = 0
(16x^2 - 4x) + (36x - 9) = 0
4x(4x - 1) + 9(4x - 1) = 0
(4x + 9)(4x - 1) = 0
4x + 9 = 0 and 4x - 1 = 0
4x = -9 and 4x = 1
x = -9/4 and x = 1/4
Answer:
a) R(r) = kr⁴
b) R(r) = 1.5625 r⁴
c) R = 126.56 cm³/s when r = 3 cm
Step-by-step explanation:
Rate of flow of a gas through a cylindrical pipe = R
radius of the pipe = r
a) R ∝r⁴
R(r) = kr⁴ where k is the proportionality constant.
R(r) means R is a function of r.
b) R(r) = kr⁴
R = 400 cm³/s, r = 4 cm
400 = k × 4⁴
k = 400/4⁴ = 400/256 = 1.5625 (cm.s)⁻¹
R(r) = 1.5625 r⁴
c) R(r) = 1.5625 r⁴
R = ?
r = 3 cm
R = 1.5625 × 3⁴ = 126.5625 cm³/s = 126.56 cm³/s
