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:
Step-by-step explanation:
Answer:
6 7/8 inches
Step-by-step explanation:
The first thing to do is to get the measurements in either inches or feet. You can't have both. Let's go from feet to inches.
3 feet = 36 inches
13.75 feet = 165 inches
Now we can set up a proportion to solve for the number of inches the model is:
Now we can cross multiply:
36x = 247.5 so
x = 6.875 or 6 7/8 inches
Answer:
Fact
Step-by-step explanation:
A Fact is a statement that has been proved :)
