Answer:
There is a 25.52% probability of observating 4 our fewer succesful recommendations.
Step-by-step explanation:
For each recommendation, there are only two possible outcomes. Either it was a success, or it was a failure. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
If the claim is correct and the performance of recommendations is independent, what is the probability that you would have observed 4 or fewer successful:
This is
In which
There is a 25.52% probability of observating 4 our fewer succesful recommendations.
Answer:
Interest will amount to $142.58
Total amount Levi will have to pay back at the end of 6 months=$7271.58
Step-by-step explanation:
Simple interest=principal×rate×time
Principal=$7129
Rate=4%=0.04
Time=6 month=0.5 year
Simple interest=principal×rate×time
=$7129×0.04×0.5
=$142.58
Interest will amount to $142.58
Total amount Levi will have to pay back at the end of 6 months
=principal + total interest
=$7129+$142.58
=$7271.58
Answer:
Approximately 68% of the apples have diameters that are between 7.08cm and 7.78cm.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 7.43cm, standard deviation of 0.35cm.
What percentage of the apples have diameters that are between 7.08cm and 7.78cm?
7.43 - 0.35 = 7.08 cm.
7.43 + 0.35 = 7.778 cm.
Within 1 standard deviation of the mean, so approximately 68% of the apples have diameters that are between 7.08cm and 7.78cm.
the second option
Step-by-step explanation:
root 4 16 is 2
root 4 powers mean divide by 4
Answer:
A
Step-by-step explanation:
To start off, you know 18 hours= 720
So you could automatically get rid of B and D since 19 and 17 are not 18.
After that, you have it down to A and C. The way you would find how much she charges for one hour is dividing 720 by 18. When you do that it means you are divding 720$ into 18 different groups each group representing an hour. When you divide 720 by 18 you should get 40. So every hour she makes 40 dollars. 40x 2 hours is 80. I hope I helped you!
