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>
<u>Answer:</u>
<h2>
52% were jelly beans!</h2>
<u>Explanation</u><u>:</u>
<em>Cross </em><em>multiply </em><em>the </em><em>following:</em>
<em>
</em>
<em>x </em><em>times </em><em>1</em><em>3</em><em>8</em><em> </em><em>=</em><em> </em><em>1</em><em>3</em><em>8</em><em>x</em>
<em>100 </em><em>times </em><em>7</em><em>1</em><em>.</em><em>7</em><em>6</em><em> </em><em>=</em><em> </em><em>7</em><em>,</em><em>1</em><em>7</em><em>6</em>
<em>Divide </em><em>both </em><em>sides </em><em>by </em><em>1</em><em>3</em><em>8</em><em>:</em>
<em>
</em>
<h3>
<em>x </em><em>=</em><em> </em><em>5</em><em>2</em><em>%</em></h3>
Answer:
1. 9 raised to the third power is 729
2. 4 raised the the power of 1 is 1
Step-by-step explanation:
9*9= 81*9=729
4*1=4
Answer
7% . . ...................
Answer: the service charge per hour for premium services is $5.5
the service charge per hour for regular services is $3
Step-by-step explanation:
Let x represent the service charge per hour for premium services.
Let y represent the service charge per hour for regular services.
One customer was charged $38 after spending 2 h in premium areas and 9 regular hours. It means that
2x + 9y = 38- - - - - - - - - - - 1
Another customer spent 3 h in premium areas and 6 regular hours and was charged $34.50. It means that
3x + 6y = 34.5- - - - - - - - - - -2
We would eliminate x by multiplying equation 1 by 3 and equation 2 by 2. It becomes
6x + 27y = 114
6x + 12y = 69
Subtracting, it becomes
15y = 45
y = 45/15
y = 3
Substituting y = 3 into equation 1, it becomes
2x + 9 × 3 = 38
2x + 27 = 38
2x = 38 - 27 = 11
x = 11/2 = 5.5