the commission rate is 752.
Answer:
D -9
Step-by-step explanation:
(g o f)(-1) = g(f(-1))
f(-1) = 
g(-4) = -4 - 5 = -9
So, (g o f)(-1) = -9
Answer:
Null Hypothesis,
: P = 4.1%
Alternate Hypothesis,
: P > 4.1%
Step-by-step explanation:
We are given that a psychologist claims that more than 4.1% of the population suffers from professional problems due to extreme shyness.
<u><em>Let p = true percentage of the population that suffers from extreme shyness.</em></u>
So, Null Hypothesis,
: P = 4.1%
Alternate Hypothesis,
: P > 4.1%
Here, <em><u>null hypothesis states that</u></em> % of the population who suffers from professional problems due to extreme shyness is equal to 4.1%.
On the other hand, <u><em>alternate hypothesis states that</em></u> more than 4.1% of the population suffers from professional problems due to extreme shyness.
So, the above hypothesis would be appropriate for conducting the test.
The probability that the tenth person randomly interviewed in that city is the fifth one to own a dog = 0.051
Given,
Consider the interview of a person is a trial.
Lets consider it success if a person owns a dog and consequently , a person without a dog will be a failure.'
Let the random variable X represent the number of persons to be interviewed to get 5 dog owner: in other words, to get 5 successors.
Probability of a success in each trial is p = 0.3. Therefore probability of a failure in each trial is q = 1 - p = 0.7 .
Because trials are independent. X has a negative binomial distribution with parameters k = 5, p = 0.3
P(X =x ) = b(x: k, p) =
where, x = k , k + 1 , k + 2......(1)
Now, Lets find the probability that the tenth person randomly interviewed in that city is the fifth one to own a dog
Using equation (1), we get:
P(X = 10) = b(10: 5, 0.3)
= [(10-1) (5 - 1)]
= [(9)(4)] 
= 0.05146
Hence, The probability that the tenth person randomly interviewed in that city is the fifth one to own a dog = 0.051
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Well if you have 60 and she has 120 i will set it out as a sequence week by week
60,67,74,81,88,95,102,109,116,123,130,137,144,151,158,165,172,179,186,193,200,207,214,221,228,235,242,249,256,263,270
120,125,130,135,140,145,150,155,160,165,170,175,180,185,190,195,200,205,210,215,220,225,230,235,240, 245,250,255,260,265,270
it would take 31 weeks and the total is 270