Answer:
360,000÷100/ 360,000÷900 = 9
Answer:
Reject H0
Step-by-step explanation:
Given :
H0: The frequencies are equal. H1: The frequencies are not equal
Category f0 A 10 B 30 C 30 D 10
Total f0 = (10 + 30 + 30 + 10) = 80
Expected frequency is the same for all categories :
Expected frequency = 1/4 * 80 = 20
χ² = Σ(observed - Expected)² / Expected
χ² = (10-20)^2 / 20 + (30-20)^2 /20 + (30-20)^2 / 20 + (10-20)^2 / 20
χ² = (5 + 5 + 5 + 5) = 20
Pvalue = 0.00017
Pvalue < α
She should invest $6491.73.
The equation we use to solve this is in the form
,
where A is the total amount in the account, p is the principal invested, r is the interest rate as a decimal, n is the number of times per year the interest is compounded, and t is the amount of time.
A in our problem is 14000.
p is unknown.
r is 6% = 6/100 = 0.06.
n is 2, since it is compounded semiannually.
t is 13.
Let x be the number, then 60 = 40% of x & x =60/40%=60/0.4=150
then the number of which 60 represent 40% of it is 150
2) Let x be the time needed to the 16 clerks to finish the job
In one day the 32 clerks complete a portion of 32/22 of the job
In one day the 16 clerks complete a portion of 16/x of the job
So in 1 day===> 32/22 =16/x ==> x=(22*16)/32 = 11 days