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.
Answer:
$4000
Step-by-step explanation:
Given that :
Total interest earned = $150
Let amount invested (p) at 2% = x
Amount invested (p) at 3.25% = 4x
Interest = principal * rate * time
At 2%:
(x * 0.02 * 1 ) + (4x * 0.0325 * 1) = 150
0.02x + 0.13x = 150
0.15x = 150
x = 150 / 0.15
x = 1000
Hence,
Amount invested at 2% = x = 1000
Amount invested at 3.25% = 4x = 4(1000) = 4000
To find the percent decrease from Saturday to Tuesday, you will find the difference between the number of customers on those days and divided by the total number of customers on Saturday.
By dividing this you will get a decimal, which then can be converted to a percent.
80-17= 63
63/80 = 0.7875
0.7875 = 78.75%
There was a 78.75% decrease from Saturday to Tuesday.
Answer:
x=47°
Step-by-step explanation:
..,........................
Answer:
2, 5, 6
Step-by-step explanation:
from top to bottom, it's the second, fifth, and sixth
