Answer:
Option A is correct.
Value of 
Step-by-step explanation:
Given: 
and common difference(d) = 3.4
A sequence of numbers is arithmetic i.e, it increases or decreases by a constant amount each term.
The sum of the nth term of a arithmetic sequence is given by;
, where n is the number of terms, a is the first term and d is the common difference.
We also know the nth tern sequence formula which is given by ;
......[2]
First find a.
it is given that
Put n =12 and d=3.4 in equation [2] we have;
2.4 = a + 37.4
Simplify:
a = - 35
Now, to calculate 
we use equation [1];
here, n =2 , a =-35 and d=3.4
Simplify:
Therefore, the sum of sequence of 22nd term i.e,
Answer: c) All of the above
Step-by-step explanation:
a) X=the number of color-blind males of the randomly chosen 20 individuals
Thus, X is binomial with n = 20 and p = 0.08.
Y represents the number of color-blind females of the randomly chosen 40 individuals
Thus, Y is also binomial with n = 40 and p = 0.01.
b) However, Z represents the total number of color-blind which is 60. The probability of being color-blind is not equal among all individuals as it is for X (0.08) and Y (0.09). Thus, Z is not binomial.
In conclusion both a and b are correct, which gives the correct answer number c) all of the above.
Which problem do you want solved ?
Answer:
990 ways
Step-by-step explanation:
The total number of automobiles we have is 11.
Now, what this means is that for the first position , we shall be selecting 1 out of 11 automobiles, this can be done in 11 ways( 11C1 = 11!/(11-1)!1! = 11!/10!1! = 11 ways)
For the second position, since we have the first position already, the number of ways we can select the second position is selecting 1 out of available 10 and that can be done in 10 ways(10C1 ways = 10!9!1! = 10 ways)
For the third position, we have 9 automobiles and we want to select 1, this can be done in 9 ways(9C1 ways = 9!/8!1! = 9 ways)
Thus, the total number of ways the first three finishers come in = 11 * 10 * 9 = 990 ways
Options:
a. Balance Transfers
b. Cash Advances
c. Payments
d. Interest Charges
Answer:
c. Payments
Step-by-step explanation:
Of all the given options, only (c) Payments decreases amount owed.
(a) Balance transfer means one is taking out cash from the account (i.e. a debit transaction); (b) Cash advances implies a withdrawal transaction from one's account and (c) Interest charges is the amount of interest deducted from an account over a debt for a given period.
As analysed , each of the above transactions increases debts.
However, (c) Payments implies a credit transaction and as such, reduces the amount owed.
