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.
Step-by-step explanation:
There are many integers that will satisfy the conditions mentioned. For example, -9 and -2 would satisfy both conditions. These integers are both greater than -10, and when added together, they equal -11, which is less than -10.
Answer:
10138 is the answer to 12x12x77-38x 25
Step-by-step explanation:
I added these step by step 12x12 = 144 x 77 = 11088 -38x 25 10138
Answer:
45 × 1/3 = 15
Step-by-step explanation:
15 / (1/3) = (3×15)/1 = 45
so, from 15 / (1/3) = 45
we can then adapt the equation by multiplying both sides by 1/3
15 = 45 × (1/3)
The volume is 1562.4 cm^3
V = (173.6 cm^2)(9cm)
= 1562.4 cm^3
