Answer: He is not correct.
Steps:
Let x1 and x2 be the first and second number, respectively.
In words, if the second is 125%, or 5/4 of the first number (first equation),
then the first is 4/5 of the second, which is 0.8 or 80%.
Every day, there are 3 times more likes on an internet video of a cat which is modeled by the function c(n) = (3)n − 1, where n
1 answer:
Answer: Hi! the answer is D, now let's prove it:
Ok, let's analyze our problem; we know two facts:
1) the first day, the video has 143 likes
2) each day that pases, there are 3 times more likes.
this means, that the day 1, the video has 143 like, the day 2, has 3*143 = 429 likes, the day 3, it has 3*429 = 1287
now, this is f(n) = the number 143 multiplied by 3 (n - 1) times, where n is the amount of days.
the function that describes this is f(n) =
when n = 1, f(1) = = 143
when n = 2, f(2) = = 143*3
and so on, so the correct answer is D.
Also you can check the other functions if you like:
A) c(1) = (3)(143)^{1-1} = 3, so A doesn't work for the first day.
B) c(1) = 143^{1-1} = 1, B neither works for the first day.
C) c(1) = (3)143 − 1 = 428. C neither works for the first day
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Answer:
Correct option (A).
Step-by-step explanation:
The probability of an individual catching a flu when he or she has taken vitamin C is, P (F|C) = 0.0342.
The probability of an individual catching a flu when he or she has not taken vitamin C is, P (F|C') = 0.2653.
Th ratio of individuals who caught the flu when they did not take vitamin C to those who took vitamin C is:
This implies that:
Thus, the the individuals not taking vitamin C are 7.7573. Times more likely to catch the flu than individuals taking vitamin C.
The statement is True.
Answer:
b. 0.864
Step-by-step explanation:
Let's start defining the random variables.
Y1 : ''Number of customers who spend more than $50 on groceries at counter 1''
Y2 : ''Number of customers who spend more than $50 on groceries at counter 2''
If X is a binomial random variable, the probability function for X is :
Where P(X=x) is the probability of the random variable X to assume the value x
nCx is the combinatorial number define as :
n is the number of independent Bernoulli experiments taking place
And p is the success probability.
In counter I :
Y1 ~ Bi (n,p)
Y1 ~ Bi(2,0.2)
With y1 ∈ {0,1,2}
And P( Y1 = y1 ) = 0 with y1 ∉ {0,1,2}
In counter II :
Y2 ~ Bi (n,p)
Y2 ~ Bi (1,0.3)
With y2 ∈ {0,1}
And P( Y2 = y2 ) = 0 with y2 ∉ {0,1}
(1Cy2) with y2 = 0 and y2 = 1 is equal to 1 so the probability function for Y2 is :
Y1 and Y2 are independent so the joint probability distribution is the product of the Y1 probability function and the Y2 probability function.
With y1 ∈ {0,1,2} and y2 ∈ {0,1}
P( Y1 = y1 , Y2 = y2) = 0 when y1 ∉ {0,1,2} or y2 ∉ {0,1}
b. Not more than one of three customers will spend more than $50 can mathematically be expressed as :
when Y1 = 0 and Y2 = 0 , when Y1 = 1 and Y2 = 0 and finally when Y1 = 0 and Y2 = 1
To calculate we must sume all the probabilities that satisfy the equation :