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:
(m + 2 - x) (m + 2 + x)
Step-by-step explanation:
m² + 4m + 4 - x²
m² + 2(m)(2) + 2² - x²
(m + 2)² - x²
(m + 2 - x) (m + 2 + x)
Since lines a and b are perpendicular, that means it is a right angles so angles a+b=90 so they are complementary
Answer:
See below
Step-by-step explanation:
Mean: 
Median: 14, 18, 20, 22, 30, 38 -> (20+22)/2 = 21
Mode: No mode as all elements are of equal frequency
Factor the demoniator:-
x^2 -2x - 24 = (x - 6)(x + 4)
the asymptotes occurs when denominator = 0
so here they are the vertical lines x = 6 and x = -4
