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:
x=-
Step-by-step explanation:
The first step to take is multiplying the 4 to both sides of the equation. Giving you One x= negative 5/2
Answer:
Distributive
Step-by-step explanation:
3(x + 5) = 7x - 13 given
3x + 15 = 7x - 13 distribute
- 3x -3x Subtraction property of equality
15= 7x - 13
+13 +13 Addition property of equality
28 = 7x
7 7 division property of equality
4=x simplify
x=4
10×9×8×7×6×5×4×3×2×1=7,862,400
a,b,c,d,e,f,g,h,I,j
a,b,c,d,e,f,g,h,j,i
a,b,c,d,e,f,g,I,j,h
a,b,c,d,e,f,g,I,h,j
and so on....
odds are 1/7,862,400
