1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bogdan [553]
3 years ago
12

A physics exam consists of 9 multiple-choice questions and 6 open-ended problems in which all work must be shown. If an examinee

must answer 6 of the multiple-choice questions and 2 of the open-ended problems, in how many ways can the questions and problems be chosen?
Mathematics
1 answer:
Mariana [72]3 years ago
6 0

Answer:

The questions and problem can be chosen in 1260 ways.

Step-by-step explanation:

Given that, a physics exam consists of 6 open-ended problem and  9 multiple choice questions.

The order of choosing does not matter.

So,we use combination to find ways.

The ways to choose  6 multiple choice from 9 is= ^9C_6

                                                                              =\frac{9!}{6!(9-6)!}

                                                                              =84

The ways to 2 open-ended question from 6  is= ^6C_2

                                                                              =\frac{6!}{2!(6-2)!}

                                                                             =15

Since pick 6 multiple choice out of 9 and 2 open-ended question out of 6 both are independent we have multiply both to find required ways.

Total number of ways is =(84×15)

                                        =1260.

You might be interested in
Geometry an Isosceles triangle has at least two congruent sides the permitter of a certain isosceles triangle is at most 12 inch
salantis [7]
I believe that it’s 7 but I could be wrong
8 0
2 years ago
Brian and Christina started keeping track of their workouts. Brian did 85 sit-ups the first week and 90 sit-ups each week after
IrinaK [193]

Brian-90×5+85=535

Christina-90×5+65=515

So after 5 weeks Brian will do 535 push ups and Christina will have done 515.

6 0
2 years ago
The time required for a skilled worker to produce x shirts is given by the function T(x) = 4x + 2, where T is measured in hours.
solong [7]

Answer:

A. $1,110

B. 50 units.

Step-by-step explanation:

A. Substitute x=18 into the function T(x)=4x+2 for calculate the time in hours required for the worker to produce 18 units:

T(18)=4(18)+2=74

Now you need to substitute T=74 into the function S(T)=15T to calculate the amount in dollars she will be paid for 74 hours:

S(74)=15(74)=1,110

She will be paid $1,110.

B. To calculate the number of units that the worker needs to produce to be paid $3,030 , you need to substitute S(T)=3,030 into the function S(T)=15T and solve for T (to find the number of hours she requires to work to be paid $3,030)

3,030=15T\\\\T=\frac{3,030}{15}\\\\T=202

Now, substitute T(x)=202 into T(x)=4x+2 and solve for x, to calculate the number of units she produces in 202 hours:

202=4x+2\\\\202-2=4x\\\\x=\frac{200}{4}\\\\x=50

She would need to produce 50 units to be paid $3,030

5 0
3 years ago
5 kilograms of coffee are going to be shared equally among 4 people.
kherson [118]

Step-by-step explanation:

I'm not sure if this will help but to find out how much coffee 4 people would need you would have to divide 4 into 5 which is 1 1/5

EQUATION-- 4/5= X

I chose that because / means divide 5 into 4 would give you x we don't know what x is until we actually do the problem

Even if im not correct I hope it helped a bit

5 0
2 years ago
Which ordered pair is a solution of the equation? -x-4y=-10
Makovka662 [10]

Answer:

(2, 2 )

Step-by-step explanation:

To find a solution, choose any value for x, substitute into the equation and solve for y.

Choose x = 2, then

- 2 - 4y = - 10 ( add 2 to both sides )

- 4y = - 8 ( divide both sides by - 4 )

y = 2

Thus (2, 2 ) is a solution to the equation

8 0
3 years ago
Read 2 more answers
Other questions:
  • The Alliance Corp. expects to sell the following number of units of copper cables at the prices indicated, under three different
    13·1 answer
  • You own two vehicles. a car
    15·1 answer
  • Whats 2/5 + 1/3 please answer quickly
    15·2 answers
  • Multiply the polynomials (3x^2+4x+4)(2x-4)
    8·2 answers
  • Nine more than three times a number is -6 written out please hurry and
    13·2 answers
  • Given the following values, what would the stems be? 4, 25, 56, 78, 105, 112 4 though 11 0 though 11 4 though 12 0 though 7
    14·1 answer
  • Calculate the gradient of the line 2y =8x+4
    9·2 answers
  • A way to solve a system of two linear equations that intersect is to graph the lines and find the coordinates of their intersect
    9·1 answer
  • PLS HELP ME WITH THIS
    11·2 answers
  • Evaluate the expression for this
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!