Answer:
p = 0.38, n = 20
The probability that he throws more than 10 strikes = 0.09233
Step-by-step explanation:
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = number of times Jack wants to bowl = 20
x = Number of successes required = number of strikes he intends to get
p = probability of success = probability that Jack throws a strike = 0.38
q = probability of failure = probability that Jack doesn't throw a strike = 0.62
P(X > x) = Σ ⁿCₓ pˣ qⁿ⁻ˣ (summing from x+1 to n)
P(X > 10) = Σ ²⁰Cₓ pˣ qⁿ⁻ˣ (summing from 11 to 20)
P(X > 10) = [P(X=11) + P(X=12) + P(X=13) + P(X=14) + P(X=15) + P(X=16) + P(X=17) + P(X=18) + P(X=19) + P(X=20)
P(X > 10) = 0.09233
There are binomial distribution cacalculators that can calculate all of this at once. Get one to minimize errors.
Candice drove 22 miles. 66 divided by 3 is 22. Which means Marcos drove 44 miles.
Answer:
(6, 2), (0, -2), (-3, -4)
Step-by-step explanation:
The intercepts are clearly (0, -2) and (3, 0). This eliminates the bottom two choices.
Both of these are listed in the upper left choice, but the third point there, (-6, -5), is not on the graph. This leaves only the upper right choice. Checking the remaining two points in that choice, (6, 2) and (-3, -4), confirms they are both on the graph.
A) 0.15 times $2,570 = $412.50
B) $122.85 times 2( 12 ) = $2,948.40
C) $2,570
D) All together it's $2,948.40 + $2,570 = $5,518.40
For D I didn't add the down payment because it's not an additional charge.
I only did the first one because I don't know if you want me to finish the rest.
Hope I helped :)
