Answer:
0.205 ; 0.117 ; 0.999
Step-by-step explanation:
Using binomial probability distribution :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Probability of success, p = 0.5
P(x = 4) = 10C4 * 0.5^4 * 0.5^6
P(X = 4) = 0.205078125
B.) 3 heads and 7 tails
P(X = 7) = 10C7 * 0.5^7 * 0.5^3
P(X = 7) = 120 * 0.0009765625
P(X = 7) = 0.117
P(atleast one head)
P(x greater than equal to 1) = p(x =1) +... P(x = 10)
Using a binomial probability calculator :
P(x greater than equal to 1) = 0.999
Answer:
x = 5 y = 2
Step-by-step explanation:
3x + 2(3x - 13) = 19
3x + 6x - 26 = 19
9x = 45
x = 5
y = 3(5) - 13
y = 15 - 13
y = 2
Answer:
1.6
Step-by-step explanation:
the number 6 is one place after the decimal so it's where the tenth is, and the number after is 4 or below which in this case is 2 so the number rounds down to 1.6
Answer:
27) x = 2^(y) – 5.
Asymptote: x = -5.
D: x > -5; (-5, infinity).
R: -infinity < f(x) < infinity; ARN;
(-infinity, infinity).
x → -infinity, f(x) → -infinity.
x → +infinity, f(x) → +infinity.
________________________
28) x = 2^-(y–3).
Asymptote: x = 0.
D: x > 0; (0, infinity).
R: -infinity < f(x) < infinity; ARN;
(-infinity, infinity).
x → -infinity, f(x) → +infinity.
x → +infinity, f(x) → -infinity.
________________________
29) x = 4^(y–2) + 1.
Asymptote: x = 1.
D: x > 1; (1, infinity).
R: -infinity < f(x) < infinity; ARN;
(-infinity, infinity).
x → -infinity, f(x) → -infinity.
x → +infinity, f(x) → +infinity.
________________________
F(x) = 3x³ - 12x² - 15x
1) Factor Outside: 3x( x² - 4x - 5)
Factor Inside: 3x(x + 1)(x - 5)
2) Set Equal To 0:
3x = 0
x + 1 = 0
x - 5 = 0
3) Solve:
x = 0, -1, 5
