Answer:
11
Step-by-step explanation:
Conor has 77 Conor has 7 times more
You do 77 divide 11 because Kristen has 7 times less
77/7 Equal 11
Kristen has 11 magazines
19 minutes
If you divide 45.85 by 20 you will get 3 same for 58.39 and 20
Answer:
a. 1/3
Step-by-step explanation:
y=x/3-5 (rewrite x - term)
y = (1/3) x + 5
recall that in the slope-intercept form of a linear equation y = mx + b
m is the slope.
In our case, we can clearly see that slope m = (1/3)
Answer:
36.01% probability that there will be 4 failures.
Step-by-step explanation:
A sequence of Bernoulli trials is the binomial probability distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
And p is the probability of X happening.
In this problem, we have that:
![n = 5, p = 0.3](https://tex.z-dn.net/?f=n%20%3D%205%2C%20p%20%3D%200.3)
a. In five Bernoulli trials, what is the probability that there will be 4 failures?
This is 4 failures and 5-4 = 1 success
This is P(X = 1).
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 1) = C_{5,1}.(0.3)^{1}.(0.7)^{4} = 0.3601](https://tex.z-dn.net/?f=P%28X%20%3D%201%29%20%3D%20C_%7B5%2C1%7D.%280.3%29%5E%7B1%7D.%280.7%29%5E%7B4%7D%20%3D%200.3601)
36.01% probability that there will be 4 failures.
Given :
A group of 106 campers sits in a big circle.
The camp leader tells them to say "hello" to each camper sitting to their left and right.
To Find :
What is the total number of times the campers say "hello".
Solution :
It is given that each camper say "hello" to each camper sitting to their left and right i.e each camper says "hello" twice.
Therefore, 106 campers will say hello = 106 × 2 = 212 times.
Hence, this is the required solution.