If one is to choose among given choices and the order is not important, we use the concept of combination. First, we calculate for the sample space or number available since there is a total number of 12 electives and a student may choose 2 out of them.
S = 12C2
That is "the sample space is equal to combination of 12 taken 2". The answer to this is equal to 66.
Next, we determine the number of outcomes. The equation will be,
O = (5C1) x (3C1)
That is "outcome is equal to combination of 5 taken 1 times combination of 3 taken 1". This is equal to 15. The probability is equal to,
P = O/S
Substituting,
P = (15/66) = 0.227270
The answer to this item is the third choice.
Answer:
Step-by-step explanation:
51,200 divided by 52. (52 weeks in a year.) 984.615385 is answer. So each week he gets paid $984.62. So then we multiply that by 3 since we are finding 40% of 3 weeks of pay. $984.62x3= $2953.86. Then we multiply that by 40%.. $2953.86x40%= Answer is $11181.54
Answer:
<h2>The reliability is 0.999999.</h2>
Step-by-step explanation:
The failure rate for a guided missile control system is 1 in 1,000.
Hence, the probability that the missile will not fail is
.
According to the new system, if the first fails, the second can take over.
There are two possibilities, either the first one will be fail or not.
If the first one will not fail, then the probability will be
= 0.999.
If the first one will fail, then the probability will be
.
The reliability of the modified missile is 0.999 + 0.000999 = 0.999999.
Answer:
Step-by-step explanation:
(a)
Total cost = (7 items * Cost per item) + Shipping fee = 7*6.5 + 8.5 = $54
(b)
Modelling the above equation with symbols:
c = s*6.5 + 8.5 = 6.5s + 8.5
(c)
For a total cost of 80$, c = 80:
80 = 6.5s + 8.5
Calculating, we get:
s = 11 items
Rachel ordered a total of 11 items
ANSWER
D) 10
EXPLANATION
We want to solve the radical equation,

Square both sides,

Expand brackets on right hand side,

Rewrite in general quadratic equation form,

Factor to obtain,

Apply the zero product principle to get,

We put n=2 into the equation to get,


This statement is false, hence 2 is an extraneous solution
We put n=10, to get



This is true, hence the only solution is