Answer:
0.2508
Step-by-step explanation:
The question asks for a conditional probability.
P(a household owns a dog if it owns a pet) = 0.67
Then P(a household does not own a dog if it owns a pet) = 1 - 0.67 = 0.33
P(a household owns a cat if it owns a pet) = 0.24
Then P(a household does not own a cat if it owns a pet) = 1 - 0.24 = 0.76
P(if a household owns a pet but the pet is not a cat or dog) = P(if a household owns a pet, it does not own a cat) × P(if a household owns a pet, it does not own a dog) = 0.33 × 0.76 = 0.2508
Answer:
10 / 38
Step-by-step explanation:
Black socks = 9
White = 10
Total = 10 + 9 = 19
Choosibg without replacement :
P(white) = 10 / 19
Second pick:
P(black) = 9 / 18 = 1/ 2
P(white then black) = 10/19 * 1/2 = 10/38
Answer:
vertex = (0, -4)
equation of the parabola: 
Step-by-step explanation:
Given:
- y-intercept of parabola: -4
- parabola passes through points: (-2, 8) and (1, -1)
Vertex form of a parabola: 
(where (h, k) is the vertex and
is some constant)
Substitute point (0, -4) into the equation:

Substitute point (-2, 8) and
into the equation:

Substitute point (1, -1) and
into the equation:

Equate to find h:

Substitute found value of h into one of the equations to find a:

Substitute found values of h and a to find k:

Therefore, the equation of the parabola in vertex form is:

So the vertex of the parabola is (0, -4)
F''(x)=-2+36x-12x^2, f(0)=2, f'(0)=18
f'(x)=-2x+18x^2-4x^3+c
f'(0)=-2(0)+18(0)^2-4(0)^3+c=18
f'(0)=18x^2-4x^3-2x+18
f(x)=6x^3-x^4-x^2+18x+c
f(0)=6(0)^3-(0)^4-(0)^2+18(0)+c=2
f(x)=6x^3-x^4-x^2+18x+2
Answer:
I believe the length would be <u>closer to 5 meters</u>. This so because, when looking at perfect squares, √30 is closer to √25 (which equals 5) than √36 (which equals 6).
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