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
<h3>∴ there are 1048576 ways a student can answer the questions on the test if the student answers every question.</h3>
Answer:
-8
Step-by-step explanation:
(-2)(-2)(-2)
4(-2)
-8
Answer:
41 miles per hour
Step-by-step explanation:
This is a fraction equal to
41 miles ÷ 1 gallon
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 1
41 miles ÷ 1
1 gallon ÷ 1
= 41 miles per gallon
I hope this works
The coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is (x,y) = (5,-4)
<h3>What is the coordinate of the point which divides a line segment in a specified ratio?</h3>
Suppose that there is a line segment 
such that a point P(x,y) lying on that line segment divides the line segment in m:n, then, the coordinates of the point P is given by:
where we have:
- the coordinate of A is
- and the coordinate of B is
We're given that:
- Coordinate of A is = (-7,2)
- Coordinate of B is = (9.-6)
- The point P lies on AB such that AP:BP=3:1 (so m = 3, and n = 1)
Let the coordinate of P be (x,y), then we get the values of x and y as:
Thus, the coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is (x,y) = (5,-4)
Learn more about a point dividing a line segment in a ratio here:
brainly.com/question/14186383
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