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seraphim [82]
3 years ago
11

A multiple-choice test contains 10 questions. There are four possible answers for each question. a) In how many ways can a stude

nt answer the questions on the test if the student answers every question
Mathematics
1 answer:
AnnZ [28]3 years ago
3 0

Answer :

<h3>4^{10} <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

=4^{10}

=1048576

<h3>∴ there are 1048576 ways a student can answer the questions on the test if the student answers every question.</h3>
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Katen [24]

Answer:

Dive by n square root two, also option one.

Step-by-step explanation:

The first step to any algebra equation is to isolate the variable and you do that by divide square root 2 since it cancels out on the left side and now n is alone.

Hoped that helped :)

8 0
2 years ago
A taxi travels 25 km east of airport. Then it travels from that point to a point that is 40 km west of the airport. Finally the
Marizza181 [45]
The answer is:  " 95 km " .
__________________________________________________
Explanation:
__________________________________________________

                                   ("airport")
                                           •     {Step 1):       " 25 km east "               •<span>  
                                           </span>│===============================>  <span>│

                           </span>•  {Step 2):       " 40 km west ["of that point"] " ;        •                                             │<==========================================│<span>  
             
                          </span>•  {Step 3:  [back to airport] = " (40 km − 25 km) " ;

                                            • ("airport").
                         │=======>│
<span> _________________________________________________
                          
<u> Note</u>:  To find "total distance traveled:

" 40 km +</span> (40 km) + (40 km <span>− 25 km) " ; 

= </span>" 40 km + (40 km) + (15 km) " ;

= " 40 km + 40 km + (15 km) " ;

= 80 km + 15 km  ;   

=  95 km .
____________________________________________________
<span>
The answer is:  " 95 km <span>" .
</span>____________________________________________________

</span>
4 0
3 years ago
Simplify<br><br>Square root of 50 over 2 times -4 + square root of 121
kobusy [5.1K]

Answer:

  -9

Step-by-step explanation:

  \sqrt{\dfrac{50}{2}}\cdot(-4)+\sqrt{121}=-4\sqrt{25}+11=-4\cdot5+11\\\\=-20+11=\boxed{-9}

Your calculator can help with this.

4 0
2 years ago
A music store buys instruments and then sells them for 30% more than they paid.
seropon [69]

Answer:135.2

Step-by-step explanation:

5 0
3 years ago
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daser333 [38]

Answer:

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Step-by-step explanation:

-4(b+3)-12=2b-16+5b

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-4b=7b+8

3 0
3 years ago
Read 2 more answers
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