Answer :
<h3>
<u>
=1048576 ways </u>
a student can answer the questions on the test if the student answers every question.</h3>
Step-by-step explanation:
Given that a multiple-choice test contains 10 questions and there are 4 possible answers for each question.
∴ Answers=4 options for each question.
<h3>
To find how many ways a student can answer the given questions on the test if the student answers every question :</h3>
Solving this by product rule
Product rule :
<u>If one event can occur in m ways and a second event occur in n ways, the number of ways of two events can occur in sequence is then m.n</u>
From the given the event of choosing the answer of each question having 4 options is given by
The 1st event of picking the answer of the 1st question=4 ,
2nd event of picking the answer of the 2nd question=4 ,
3rd event of picking the answer of the 3rd question=4
,....,
10th event of picking the answer of the 10th question=4.
It can be written as by using the product rule
![=4.4.4.4.4.4.4.4.4.4](https://tex.z-dn.net/?f=%3D4.4.4.4.4.4.4.4.4.4)
![=4^{10}](https://tex.z-dn.net/?f=%3D4%5E%7B10%7D)
![=1048576](https://tex.z-dn.net/?f=%3D1048576)
<h3>∴ there are 1048576 ways a student can answer the questions on the test if the student answers every question.</h3>
You have to replace d woth 3 in formula
7d^2+10=7*(3)^2+10=7*9+10=63+10=73
d is the correct answer
Answer:
2
Step-by-step explanation:
12-2= m(2+3)
m= 10/5=2
Answer:
speed of James is: 3.75 miles/hour.
Step-by-step explanation:
We need to find the speed of James in miles per hour(mi/hr)
we know that 1 mile=5280 feet
James takes 120 steps in 1 minute so he will cover 120×60 steps in 1 hour.
i.e. he takes 7200 steps in 1 hour.
also each step of James=2.75 feet
total distance covered by James in 1 hour=2.75×7200 feet=19800 feet
![19800feet=\frac{19800}{5280} miles=3.65miles](https://tex.z-dn.net/?f=19800feet%3D%5Cfrac%7B19800%7D%7B5280%7D%20miles%3D3.65miles)
hence speed of James= (distance covered by james in 1 hour)/1 hour
speed of James=3.75 miles/hour.
Thanks!!
Mark me brainliest!
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