Answer:
P(X > 2) = 0.6687
P(2 < X < 5) = 0.4821
Step-by-step explanation:
This is a binomial distribution problem
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = sample size = 10
x = Number of successes required = more than 2, then between 2 and 5.
p = probability of success = probability that a college student will say they use credit cards because of the rewards program = 0.32
q = probability of failure = 1 - 0.32 = 0.68
For more than 2
a) P(X > 2) = 1 - P(X ≤ 2) = 1 - [P(X=0) + P(X=1) + P(X=2)] = 1 - [0.0211392282 + 0.09947872095 + 0.21066082083] = 0.66872123002 = 0.6687
For between 2 and 5 exclusive
P(2 < X < 5) = P(X=3) + P(X=4) = 0.26435867712 + 0.21770714587 = 0.482065823 = 0.4821
Hope this Helps!!!
If he gets a hit 25% of the time then you just do 1/4 of 500. which is 125 hits out of 500
C = 2 pi r
C = 2 x 3.14 x 12.5
C = 78.5 cm
answer is C. 78.5 cm
Answer:
(3, -1), 7
Step-by-step explanation:
To find the center of this circle: compare the given equation
(x - 3)^2 + (y + 1)^2 = 7^2 to the standard equation of a circle with center at (h, k):
(x - h)^2 + (y -k)^2 = r^2
From this comparison we see that the center is at
h = 3 and k = -1, and also that r must be 7: (3, -1), 7
The domain and range for each line is all real numbers. This is because all numbers are possible to input into x and all y values exist.
The slope of the first line is -2/3 and the y intercept is 6. You can reach this conclusion by solving for y (putting it in slope intercept form).
The slope of the second one is 3/4. and the y intercept is all real numbers greater than -4. This is true because it is an inequality and you can find these numbers by solving for y.