ANSWER
EXPLANATION
Recall that,
But we were given that,
and
We substitute these values into the above formula to obtain,
This implies that,
This simplifies to,
So we can now find
We use the same formula again,
We substitute the values to get,
We multiply out to get,
Answer:
(a) 1024 ways
(b) 243 ways
Step-by-step explanation:
When answers are independent, the total number of ways all questions can be answered is the product of the number of ways each question can be answered.
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<h3>(a)</h3>
The first question can have one answer 4 ways. The second question can be answered 4 ways for each of the ways the first question was answered. That is, the two questions can be answered 4×4 = 16 ways. Similarly, each additional question multiplies the number of ways the questions can be answered by 4.
The 5 questions can be answered 4×4×4×4×4 = 4^5 = 1024 ways.
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<h3>(b)</h3>
There are 3 ways to answer the first question incorrectly. Each additional question can be answered incorrectly 3 ways for each of the ways previous questions were answered. The total number of ways all questions can be answered incorrectly is ...
3^5 = 243
A student can answer all questions wrong in 243 different ways.
Answer: Katie's Sample
Step-by-step explanation: People usually skateboard in the summer not the winter
Answer:
$77.18
Step-by-step explanation:
A = total amount
P = principal
I = interest
A = P(1 + r/n)^n·t
A = 70(1+.05)²
A = 70(1.05)²
A = 77.175
I = A - P
2x multiplies to all numbers:
2x x 8x3 = 16x4
2x x 6x2 = 12x3
2x x -10x = -20x2
Answer: 16x4 + 12x³ - 20x²
Hope this helps :)
