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.
I suppose that when you write "log^6" , you want to say log₆
Change of base formula:
loga b=logc b / logc a
log₆ 120=ln 120 / ln 6=2.67
Answer: log₆ 120=2.67
The month in which Company B's payment will first exceed Company A's payment is C) Month 7.
Step-by-step explanation:
Step 1:
Company A offers $6,000 for the first month and increases the salary each month by $5,000.
Company B offers $700 for the first month but doubles the payments each month.
We need to determine which month company B's payment is greater than company A's payment.
Step 2:
According to the table, at month 6 company A pays $31,000 while company B pays $22,400.
However after this month, in the seventh-month company A pays $36,000 while company B pays $44,800, which is higher than company A's salary.
So The month in which Company B's payment will first exceed Company A's payment is C) Month 7.
Answer: norm of reaction
Step-by-step explanation:
norm of a reaction which is the capacity of a genotype to produce different phenotypes in response to the environment. The group of phenotypic expressions under different environmental conditions. A organism can own all the genetic complements necessary to fully development. However, if there is no suitable nutricion, the development does not occur. The environment only changes the phenotypic characteristics within certain limits ruled by the genotype (norm of reaction). The genotype do not determine a phenotypes, but a amount of possible phenotypes, a norm of reaction. A certain phenotype will materialize itself depending on the interaction of a certain genotype with the environment.
