Based on the rate of increase, the number of employees that will be there in 2016 is<u> 21,927 people.</u>
<h3>Number of employees in 2016</h3>
This can be calculated by the formula:
= Employees in 2009 x ( 1 + rate of increase)
Solving gives
= 19,100 x (1 + 14.8%)
= 21,926.8
= 21,927 people
In conclusion, there will be 21,927 people in 2016.
Find out more on rates of increase at brainly.com/question/3040628.
Jill and Gill will have the same amount of money in week 13, they will both have $410.
Answer:Given:
P(A)=1/400
P(B|A)=9/10
P(B|~A)=1/10
By the law of complements,
P(~A)=1-P(A)=399/400
By the law of total probability,
P(B)=P(B|A)*P(A)+P(B|A)*P(~A)
=(9/10)*(1/400)+(1/10)*(399/400)
=51/500
Note: get used to working in fraction when doing probability.
(a) Find P(A|B):
By Baye's Theorem,
P(A|B)
=P(B|A)*P(A)/P(B)
=(9/10)*(1/400)/(51/500)
=3/136
(b) Find P(~A|~B)
We know that
P(~A)=1-P(A)=399/400
P(~B)=1-P(B)=133/136
P(A∩B)
=P(B|A)*P(A) [def. of cond. prob.]
=9/10*(1/400)
=9/4000
P(A∪B)
=P(A)+P(B)-P(A∩B)
=1/400+51/500-9/4000
=409/4000
P(~A|~B)
=P(~A∩~B)/P(~B)
=P(~A∪B)/P(~B)
=(1-P(A∪B)/(1-P(B)) [ law of complements ]
=(3591/4000) ÷ (449/500)
=3591/3592
The results can be easily verified using a contingency table for a random sample of 4000 persons (assuming outcomes correspond exactly to probability):
===....B...~B...TOT
..A . 9 . . 1 . . 10
.~A .399 .3591 . 3990
Tot .408 .3592 . 4000
So P(A|B)=9/408=3/136
P(~A|~B)=3591/3592
As before.
Step-by-step explanation: its were the answer is
Rewrite and factor 9 and 21;
3•3+3•7= 3(3+7)
GCF for 9 and 21 is 3
Answer:
H0 : μ = 0.107
H1 : μ ≠ 0.107
Step-by-step explanation:
The claim is the alternative hypothesis. H1 ; which is a researcher's opinion that the proportion of Americans aged 65 and above using the internet as changed from the mean value of 10.7% (0.107). The direction of the change is not given, hence. We cannot use the greater or less Than sign as the direction of the change isn't specified by the researcher or data Given. Hence, the shift could be either to the right or left. Hence, the use of the equal to and not equal to sign.
The null will oppose the alternative hypothesis and take the stance that the proportion hasn't changed from the initial mean.
