If a multiple choice test consists of ​questions, each of which with of which only 1 is​ correct, ​(a) in how many different ways can a student check off one answer to each​ question? ​(b) in how many ways can a student check off one answer to each question and get all the answers​ wrong? ​(a) The test can be answered in 25 ways.

Answers

Answer 1

Answer:

Step-by-step explanation:

From the given information.

suppose a multiple choice test consists of 5 questions, each with 4 possible answers of which 1 is correct.:

So, we can now suggest that a person can answer each question in 4 different ways given that there are 5 different questions.

Thus, the  students can check off one answer to each question in [tex]4^5 \ different \ ways[/tex]

= 4 × 34 × 4 × 4 × 4

= 1024 different ways.

From the 4 possible answers, since 1 will be correct, definitely 3 other answers will be incorrect.

Thus, the number of ways a student can check off one answer to each question and get all the answers wrong is = 3⁵

= 3 × 3 × 3 × 3 × 3

= 243 ways


Related Questions

HELP!! Need Help With My Homework!

Answers

Answer:

x + 4 = 9 + 2x - 15

Step-by-step explanation:

Since, E is between F and G.

Therefore,

FG = EF + EG

x + 4 = 9 + 2x - 15

x + 4 = 2x - 6

4 + 6 = 2x - x

10 = x

or

x = 10

Solve -2a -5 > 3 Which graph shows the solutions?

Answers

Answer: a< -4 D

Step-by-step explanation:

Jacob makes $3600 a month, he spends 40% of his income on his mortgage. How much money does he spends? A. $400 B. $1440 C. $440 D. $820

Answers

Answer:

the answer is b- 1440

Step-by-step explanation:

hope this helps

Answer:

b

Step-by-step explanation:

The temperature in Chicago was 12°F this
morning, while the temperature in Minneapolis
was -8°F. What is the difference between the
two temperatures?

Answers

Answer:

4 °F

Step-by-step explanation:

Use the grouping method to factor the polynomial below completely.
x2 – 3x2 + 5x - 15
A. (x+3)(x - 5)
B. (x - 3)(x+5)
O C. (X - 5)(x+3)
O D. (2 + 5)(x-3)

Answers

Step-by-step explanation:

You can let me know, but i dont think -3x² is supposed to be squared in this question because then it would make it unsolvable.

5x-15

can be simplified to 5(x-3)

x²-3x

can be simplified to x(x-3)

Then u rewrite it (5 + x)(x - 3)

Find the value of using identities 996^2

Answers

Answer:

992,016

Step-by-step explanation:

[tex] {996}^{2} \\ = {(1000 - 4)}^{2} \\ = {1000}^{2} - 2 \times 1000 \times 4 + {4}^{2} \\ = 1000000 - 8000 + 16 \\ = 1000016 - 8000 \\ = 992,016 \\ [/tex]

Which interval for the graphed function has a local
minimum of 0?

[-3, -2]
[-2, 0]
[1, 2]
[2, 4]

Answers

Answer:

the answer is D i hope this help

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Samantha is buying a bike for $290. If sales tax is 6.4%, how much will be added to the price of the bike?

Answers

Answer:

18.56

Step-by-step explanation:

6.4% of 290 is 18.56

you find this by multiplying 290 by 0.064 (which is the decimal form of 6.4%)

A car's rear windshield wiper rotates 140°. The total length of the wiper mechanism is 24 inches and the length of the wiper blade is 16 inches. Find the area wiped by the wiper blade. (Round your answer to one decimal place.)

Answers

Answer:

312.7 in^2

Step-by-step explanation:

This problem is on the mensuration of flat shapes, sectors and arc.

we know that the area of a sector is given as

A=(∅/360)*πr^2

Given that the length of the wiper R=24 in

and the length of the blade r= 16in

To find the area of the wiped surface we only require the length of the blade as the radius

The area of the wiped surface is given as= (140/360)*3.142*16^2

A= 0.3888*3.142*256

A=312.7 in^2

how to factorise 30+b-b²​

Answers

Hey there!☺

[tex]Answer:\boxed{-(b-6)(b+5)}[/tex]

[tex]Explanation:[/tex]

[tex]30+b-b^2[/tex]

Factor 30+b-b^2 by grouping.

[tex]-(b-6)(b+5)[/tex]

Hope this helps!☺

Find the slope, if it exists, of the line containing
(-8,-5) and (-19,- 13)

Answers

Answer: 8/11

Step-by-step explanation:

To find slope you can use this formula:

y2-y1/x2-x1

substitute the values with the ones from the 2 points

-13-(-5)= -8

-19-(-8)=-11

you then divide -8/-11

and you get 8/11

8/11 is the slope of those 2 points.

this is a segment addition practice. can someone please help me find the length indicated?

Answers

Answer:

3

Step-by-step explanation:

Points C, D, and E are collinear.

Segment CD = 8

Segment CE = 11

Segment DE = ?

According to the segment addition postulate:

[tex] CD + DE = CE [/tex]

[tex] 8 + DE = 11 [/tex] (substitution)

Subtract 8 from both sides

[tex] 8 + DE - 8 = 11 - 8 [/tex]

[tex] DE = 3 [/tex]

The missing lenght indicated = 3

You intend to estimate a population mean μ with the following sample. 78.4, 85.3, 50, 68.4, 59.4, 73.7, 73.2, 47.4, 40.5
You believe the population is normally distributed.
Find the 99.5% confidence interval.
The answer must be done as an open-interval accurate to 2 decimal places.

Answers

Answer:

(17.75, 110.32)

Step-by-step explanation:

The sample mean is 64.03, and the standard deviation is 15.43.

The population is normally distributed, so 99.5% confidence is ±3 standard deviations.

The confidence interval is therefore:

(64.03 − 3 × 15.43, 64.03 + 3 × 15.43)

(17.75, 110.32)

The 99.5% confidence interval will be equal to  (17.75, 110.32).

What is Probability?

Probability is calculated as the proportion of favorable events to all potential scenarios of an event. The proportion of positive results, or x, for an experiment with 'n' outcomes can be expressed.

As per the given data provided by the question,

With a standard deviation of 15.43 and a sample mean of 64.03, respectively.

Since the population has normally distributed, 99.5% probability lies within a range of three standard deviations.

Consequently, the confidence interval is:

= (64.03 − 3 × 15.43, 64.03 + 3 × 15.43)

= (17.75, 110.32), this is up to 2 decimal places.

To know  more about Probability:

https://brainly.com/question/11234923

#SPJ3

Use the tables above to compose the following functions.
A: f(g(2))
B: f(g(5))
C: g(f(-1))
D: g(f(5))

Answers

Answer:

A. 1

B. 2

C. 2

D. 0

Hope it helps :-)

A steel woodworking blade is created from a rectangular mold with vertices at (0, 0), (0, 1), (4, 0), and (4, 1). (All coordinates are in centimeters). At each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate. Find the height of the balance point of the blade.

Answers

Answer:

5.6 cm

Step-by-step explanation:

Given that a steel woodworking blade is created from a rectangular mold with vertices at (0, 0), (0, 1), (4, 0), and (4, 1). (All coordinates are in centimeters). At each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate. 

The x axis or the horizontal length will be L = (1 - 0)^2 + ( 0 - 0 )^2

L = 1 cm

The y axis or the vertical length will be

L = sqrt ( [ 4-0]^2 + [0-0]^2)

L = Sqrt(16)

L = 4 cm

Given that at each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate.

That is,

Thickness = 2 × 4 = 8 mm

The height of the balance point of the blade will be;

Height = 8 mm + 4 cm + 8 mm

Height = 0.8 + 4 + 0.8

Height = 5.6 cm

Note that the thickness will be added to both the top and the bottom of the blade.

The price of a computer fell 20% this year. If the computer now costs $750, how much did it cost last year?
(step-by-step if possible)

Answers

Answer:

$937

Step-by-step explanation:

P(1-20/100)=750- 1 is the object the you take away the percentage that is in

fraction form

P(1-.2)=75-take it from fraction form to decimal form

P(.8)=750-this is the final product of the equation above

750/.8-Take the current price and the decimal and divide

75000/80- take the .8 and add two 0's to get the whole accurate amount

937.5-Price before the price fell

Sorry I'm not the best at explaining things hoped this helped!

The area of a rectangular mirror is 11 11 16 square feet. The width of the mirror is 2 3 4 feet. If there is a 5 foot tall space on the wall to hang the mirror, will it fit

Answers

Yes the mirror will fit

Meg skateboards One-fourth of a mile in One-half of an hour. At this rate, how far will she skateboard in an hour?

Answers

Answer: i'm pretty sure Meg would have skated 1/2 of a mile in an hour

Answer:

meg would have skated 1/2 of a mile in 1 hour.

Step-by-step explanation:

Which situation can be represented by the inequality 3.35x + 25 < 6.75x + 5?

Answers

Answer:

x >100/17

plz mark brainliest

An organism measures 2.9• 10-5 centimeters in diameter. What number in standard notation [ANSWERS PLEASE I’ll even cash app u 2$]

Answers

2.9 x 10 = 29
29-5 = 24

what is the value of x? enter your answer in the box.​

Answers

Answer:

84

Step-by-step explanation:

The interior sum of a pentagon is 540 degrees. If you add up all the given angles together, then it will add up to be 456. subtract 456 from 540, and you'll get your answer, which is 84.

Using the origin as a starting point, explain how you would plot the point (-5, 3).

Answers

The first number (-5) is on the x, or horizontal axis, and the second number (3) is on the y, or vertical axis. Therefore, starting at (0,0) (the origin), you would count -5 points to the left to get to -5 on the x axis, and then you would count 3 points up to get to 3 on the y axis. This will lead you to coordinate (-5, 3) Hope this helps

If there are 7533 students at Rocky Valley College and 1/3 of the students take speech, how many students take speech at Rocky Valley College?

Answers

Answer:

no of student take speech at college = 1/3*7533=2511

Step-by-step explanation:

6th grade math pls help​

Answers

If you’re still confused just tell me and I’ll explain it again

Elaina wrote two correct variable expressions to represent the phrase “one-fourth of a number.”

Which variable expressions could Elaina have written?

Select each correct answer.

Answers

Answer:

C and D are both correct

hope that helps

here are the answer choices if anyone needs it :)

4 ÷ n

14n

n4

4n

Which number is prime?
49
51
53
55​

Answers

Answer:

53

Good luck with your quiz/test :D

Answer:

53

Step-by-step explanation:

99 is 36% of what number?

Answers

Answer:

257

Step-by-step explanation:

36% of 275 is 99. 100% of 275 is 275, therefore 36 percent of 275 equals 99

5. Susie has 24 bags of pretzels and 16 bags of chips. She wants to make snack
packs to sell at the carnival, and she wants each snack bag to have the same
number of pretzel bags and chip bags. ANSWER questions 5a, b and c

Answers

Step-by-step explanation:

Given that,

Susie has 24 bags of pretzels and 16 bags of chips.

She wants to make snack  packs to sell at the carnival, and she wants each snack bag to have the same  number of pretzel bags and chip bags.

To find the same no of pretzel bags and chip bags, we can take LCM of 24 and 16.

LCM of 24 and 16 = 48

It means she will need 48 pretzel bags and chip bags

Evaluate 4-0.25g+0.5h when g=10 and h=5​

Answers

Multiply -0.25(10) and 0.5(5)
Add -0.25 and 0.25
4-0=4

Find the equation of the line that has the given properties. Express the equation in slope-intercept form.
Slope = -9; y-intercept = 5
What is the equation of the line?

Answers

Answer:

y = -9x +5

Step-by-step explanation:

Slope = -9

y-intercept = 5

In [tex]y = mx +b[/tex] ;

m = slope

b = y-intercept

So just replace -9 for m and 5 for b in slope intercept form;

[tex]y = -9x +5[/tex]

Other Questions
Which of these points is farthest from the origin?A. (0,8)B.(2, 11)c.(-6,-8)D. (-12,0) El sbado yo _ (1) al Museo de Bellas Artes porque mi artista favorito _(2) a presentar una exposicin. Mis amigos no _ (3) al Museo conmigo porque todos _ (4) a jugar al futbol, pero yo _ (5) a ir porque yo _ (6) a ser artista _ (7) (tu) al museo tambin? Por qu no (8) _ juntos? present tense What advantages did Eurasia trading have over the Americas? In other words, why didn'tthe Americas have as sophisticated a trading network as say the Indian Ocean trading? Reread the first half of the PREAMBLE. Using context clues, explain what the phrase consent of the governed means Egyptian hieroglyphs were part of a writing system used by the ancient Egyptians. What type of graphic design elements did they contain? Solve for z. z = 64 Enter your answer in the box. z = A 3-mi cab ride cost $7.90. A 9-mi cab ride cost $18.70 What is 4 + 8 divided by 2 x (6 - 3) = ? what does ? equal? ? =__ Can someone help me pls !!! I need some help like now on making a rap with 3 versuses and 1 chorus it due at 11:59 pls help !!!!! many african americans sought oppertunity offered by the homestead act by moving to? A number x is decreased by 40% then increased by 25% what is the final result In terms of x ? Please help me. 50 point question Yo, when I retire from teaching, I will have accumulated a variety ofsupplemental income plans. This illustrates the economic goal known as_______. Which number gives you a rational sum when you add it to 4/7? Presenteeism is exhibited in all the following ways except:___________. a. even when injured reporting to work. coming to work when ill. b. when an employee faces dangerous conditions to get to work. c. when the employee is preoccupied by personal problems. d. when an absence would immediately affect many people. Andy was buying$5 hats and $3gloves for everyperson on hisChristmas list. Healso bought one rollof wrapping paperfor $2. Let xrepresent thenumber of peopleon his Christmaslist. Maya is comparing ride-sharing company prices. Company M charges $1.75 per mile driven and one-time trip fee of $5. Company N charges $2.50 per mile driven and a one-time trip fee of $3. Which inequality can be used to find x, the minimum number of miles driven so that the total cost at Company M is less than the total cost at Company N? 1.75x+5 2.5x+3 1.75+5x 2.5+3x A narrative introducing a new character and their experience in one of the stories Jumanji or Zathura. Kriste walks once around a large circle at a constant speed.What is her average velocity for the whole walk in m/s? which ordered pair is not a solution to this system?x+y > 3 x + 2y > 5