Martha types a 4−digit code into a keypad to unlock her car doors. The code uses the numbers 1 and 0. If the digits are selected at random, what is the probability of getting a code with exactly two 1's? Enter your answer as a simplified fraction.

The probability of getting two 1's is_________.

Answers

Answer 1

Answer:

3/8

Step-by-step explanation:

1. We list all codes that start with 0 and have 0 as second digit:

2. We list all codes that start with 0 and have 1 as second digit:

3. We list all codes that start with 1 and have 0 as second digit:

4. We list all codes that start with 1 and have 1 as second digit:

5. We find the number of codes which have exactly 2 zeros: 6 codes

6. The total number of outcomes is: 16 codes

7. We find the probability that the number of codes has exactly 2 zeros: 6/16 3/8

Answer 2

Answer:

The probability of getting two 1's is 3/8

Step-by-step explanation:

Martha types a 4−digit code into a keypad to unlock her car doors.

The code uses the numbers 1 and 0

So the sample space of all the possible combinations is given by

1. 0 0 0 0

2. 0 0 0 1

3. 0 0 1 0

4. 0 0 1 1

5. 0 1 0 0

6. 0 1 0 1

7. 0 1 1 0

8. 0 1 1 1

9. 1 0 0 0

10. 1 0 0 1

11. 1 0 1 0

12. 1 0 1 1

13. 1 1 0 0

14. 1 1 0 1

15. 1 1 1 0

16. 1 1 1 1

So there are total 16 possible outcomes.

Now count the number of combinations that has exactly two 1's

4. 0 0 1 1

6. 0 1 0 1

7. 0 1 1 0

10. 1 0 0 1

11. 1 0 1 0

13. 1 1 0 0

So there are 6 possible outcomes with exactly two 1's

The required probability is

P(two 1's) = Number of outcomes with two 1's/Total number of outcomes

P(two 1's) = 6/16

P(two 1's) = 3/8

Therefore, the probability of getting two 1's is 3/8


Related Questions

Do 4/ A,B for 11 points.

Answers

Answer:

Look at the picture.

Step-by-step explanation:

Always remember to isolate than divide/multiply

Find an equation of the line containing the given pair of points.
(4,1) and (12,7)

Answers

Answer:

y= 3/4x-2

Step-by-step explanation:

y2-y1/x2-x1

7-1/12-4

m=6/8

m=3/4

now solve for b (y-intercept)

plug in any y or x from any point

7=3/4(12)+b

7=36/4+b

7=9+b

7=9+b

subtract nine on both sides

-2=b

thats how u get ur equation

Please I need help with this questions.....

Answers

Answer:

Correct

Step-by-step explanation:

This report is correct because the most people finished in 4 hours

Answer:

I think you are correct. I hope this helps please tell me if you get it right or wrong.

Step-by-step explanation:


Question: Imagine that a family of three (Alice, Bill, and Charlie) are
playing a card game at home two nights in a row. The chance that any one
of them will win is 1/3. a.) Using A for Alice, B for Bill, and C for Charlie, what
are the outcomes for two consecutive nights of playing card. (Ex. AA
means Alice won the first night and the 2nd night) *

Answers

Answer: (AA, AB, AC, BA, BB, BC, CA, CB, CC)


Explanation: Since e are only looking at the outcomes, there are no numbers needed. However, it is worth noting that there 9 possible outcomes.

Also, it would be helpful to use a tree diagram on problems like this, which is simply a visual representation of the outcomes (aka sample space).

what is the minimum please answerrr

Answers

Answer:

(0,1) should be the anwser your looking for

(0, 1) is the minimum! it’s the least/lowest point of the graph

Not so bad after an F- I guess.

Answers

Answer:

Congratulations!

Step-by-step explanation:

The graph shows the speed of a particle over a 10 second time interval find an estimate for the distance travelled by the particle

Answers

Answer:

240

Step-by-step explanation:

(2x36)/2=36

(36+39)x2/2=75

(31+39)x2/2=70

(14+31)x2/2=45

(2x14)/2=14

14+45+70+75+36=240

Which one is greater -3 1/4 or 3 6/25

Answers

Answer:

3 6/25 is greater

Step-by-step explanation:

Because -3 1/4 is a negative number

it is 3 1/4coz to be equal the other one had to be 3 6/24

solve the formula for calculating the perimeter of a parallelogram with sides b and c for c p = 2b+2c

Answers

p = 2b+2c
-2b -2b

p -2b =2c
/2 /2

p/2 -b =c
The answer is P/2-b=c.

A sector of a circle whose radius is 4 centimeters, has a central angle of 30 Which of the following. which of following represents the area of this sector in square centimeters?
(1). 12π/5
(2). 8π/15
(3). 4π/3
(4). 6π/5



Answers

Answer:

area of the sector  =4π/3  cm²

Step-by-step explanation:

To find the area of the sector, we will follow the steps below;

first write the formula for finding area of a sector

area of a sector = Ф/360  ×  πr²

where r is the radius

from the question given

Ф= 30       and radius = 4 centimeters

we can proceed to insert the values into he formula above

area of a sector = Ф/360  ×  πr²

                             =30/360  ×π×4²

                             =1/12 ×π×16

                             =16π /12

                              =8π/6

                             =4π/3

area of the sector  =4π/3  cm²


The shape has an area of 60 square inches. Find the value of x.

Answers

Answer:

8

Step-by-step explanation:

Since the area of a kite is half the product of the diagonals:

60=15*x/2

120=15*x

x=120/15=8

Hope this helps!

Can someone help me with this ASAP please and thank you

Answers

Answer:

C

Step-by-step explanation:

Triangles will only be right triangles if a² + b² = c² where a and b are legs and c is hypotenuse. Numbers 1 and 2 pass this test so the answer is c.

Answer:

C. I and IV only

Step-by-step explanation:

Apply the Pythagorean theorem to all triangles, and see which ones make the equation true.

I.

8^2 + 15^2 = 64 + 225 = 289

17^2 = 289

289 = 289

Right Triangle

II.

4^2 + 5^2 = 16 + 25 = 41

6^2 = 36

41 is not equal to 36

Not a Right Triangle

III.

2^2 + 2^2 = 4 + 4 = 8

3^2 = 9

8 is not equal to 9

Not a Right Triangle

IV.

9^2 + 12^2 = 81 + 144 = 225

15^2 = 225

225 = 225

Right Triangle

Answer: C. I and IV only

There are 5 bacteria in a petri dish at the start of an
experiment. This type of bacteria doubles every 20
minutes.
Find the number of bacteria after 4 hours.
40
10,240
20,480
40,960

Answers

Answer:

20,480

Step-by-step explanation:

5x2^12

Answer:

20480

Step-by-step explanation:

got it right on edge

Brea was asked to find the area of a rectangular field they build with square flat blocks. If the sides of the rectangular field were 5/6 and 1/2 kilometers, how many 1/2 kilometers sqaure blocks will the students need to build the field?

Answers

Answer:

need

Step-by-step explanation:

points

Which graph represents a proportional relationship?

Answers

Answer: D) The bottom right image

Step-by-step explanation: The linear graph is the one that represents a proportional relationship, the graph goes through the origin. You want it to go through the origin.

I hope this helps!

( 5 x − 3 √ 6 ) ( 5 x + 3 √ 6 )

Answers

Answer:

b because look at the notes and study

Answer:

[tex]{25x}^{2} - 54[/tex]

pls help this is due before 11:59​

Answers

Answer:

B

Step-by-step explanation:

232/4= 58

343/7= 49

58-49= 9

4. Alistair has an infinite number of bags numbered 1, 2, 3, 4... Each bag
contains an infinite number of marbles numbered 1, 2, 3, 4... Is the set of
all marbles that Alistair possesses larger than the set of marbles he has in
just the first bag?

Answers

Answer:

No

Step-by-step explanation:

One infinity cannot be larger than another

What is the domain of the function on the graph?

Answers

Answer:

D: [-3, ∞)

Step-by-step explanation:

The x values go from -3 to infinity

The domain is the set of valid x values.   That's all real numbers -3 and up, last choice.

PLEASE JUST GIVE ME THE VOLUME! THE AREA OF THE SECTION IS 546! PLEASE ANSWER ASAP!!!!!!!

Answers

Answer:

3360

Step-by-step explanation:

By the Pythagorean Theorem, you know that:

[tex]C_1B_1=\sqrt{29^2-20^2}=\sqrt{841-400}=\sqrt{441}=21[/tex]

This means that the area of the triangular base is [tex]\dfrac{21\cdot 20}{2}=210[/tex]. Multiplying this by the height of the pyramid and dividing by 3, you get a volume of 3360. Hope this helps!

Why are some right triangles considered special?

Answers

Special right triangles. A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist. For example, a right triangle may have angles that form a simple ratio, such as 45-45-90. This is called an "angle based" right triangle.

what that answer to 21×-5​

Answers

Answer: -105

Step-by-step explanation:

21 times -5 will be -105

What is the r-value of the following data, to three decimal places?
X, 4 5 8 9 13
Y, 26, 11, 13, 2, 1
O A. -0.686
OB. 0.828
O C. 0.686
O D. -0.828​

Answers

Answer:

The correct option is D

D) -0.828

Step-by-step explanation:

Step 1:

First find the mean of both x data set and y data set

x(mean) = 39/5 = 8

y(mean) = 53/5 = 11

Step 2:

(find the values given in table attached below. The formation of table is step 2)

Step 3:

Substitute ∑x, ∑y, ∑xy, ∑x² & ∑y² value in the below correlation coefficient formula

r = ∑XY/(√∑X². ∑Y2²

∑XY = -119.4,∑X² = 50.8, ∑Y² = 409.2

r = -119.4/(√50.8 x 409.2)

Simplify above expression

r = -119.4/√20787.36

r = -119.4/144.1782

r = -0.8281

Thus -0.8281 is the correlation between x = {4, 5, 8, 9 and 13} & y = {26, 11, 13, 2 and 1}

What is the answer of 135=-9x+9?

Answers

Answer:

x=-14

Step-by-step explanation:

move all the terms that don't  contain x to the right side and solve.

(idk if this is correct but i hope it helps)

Answer:

Please mark me brainliest and I hope this helped!

X = -14

Step-by-step explanation:

First, we want to isolate the variable. So we subtract 9 from both sides and that gives us 126= -9. Now we divide both sides by -9. That gives us -14=x. So the answer is:

x = -14

✐ is typing , , ,
any answer is appreciated (: ♥
And if it's correct will mark " brainliest "
keep in mind that it needs two answers for marking brainliest :)


Answers

Answer:

13 ounces

Step-by-step explanation:

Since the package ended up costing $5.81, we subtract the starting cost of 6 ounces, which is $4.90.

We end up with $0.91. Since each additional ounce is $0.13, we divide 0.91 by 0.13.

This gives us seven, which is the amount of additional ounces. Since Mrs. Washington paid 4.90 for the first six ounces and then there were an additional 7 ounces, we add 6 plus 7.

The answer is 13 ounces. Hope this helps!

Determine the approximate ordered pair for f(x) = g(x)

(3, 12)

(3,18)

(12,3)

(18, 3)

Answers

Answer:

(3,18)

Step-by-step explanation:

(3,18) is the answer to your problem

Algebraically find the roots of the quadratic equation: w2 + 8w+ 15 = 0
(HINT: You may factor or use the quadratic formula)

Answers

Answer:

w = - 5, w = - 3

Step-by-step explanation:

Given

w² + 8w + 15 = 0

Consider the factors of the constant term (+ 15) which sum to give the coefficient of the w- term (+ 8)

The factors are + 5 and + 3 , since

5 × 3 = 15 and 5 + 3 = 8 , thus

(w + 5)(w + 3) = 0 ← in factored form

Equate each factor to zero and solve for w

w + 5 = 0 ⇒ w = - 5

w + 3 = 0 ⇒ w = - 3

Name the types of angles shown.
Check all that apply.

Answers

Answer:

Here you go!

Step-by-step explanation:

There is a 90 degree angle,

An obtuse angle

And an acute angle

Right angle (EFH)

Acute angle(GFH)

If the radius of a cone is 3 cm and a height of the Cone is 8 cm what is the surface area

Answers

Answer:

24

Step-by-step explanation:

if the radius is 3 cm and the height is 8 cm we would multiply3 x 8 = 24so the answer is 24

Which of the following figures has a pentagon as its base? A cube B pentagonal prism C triangular prism D rectangular prism

Answers

Answer:

Option B. Pentagonal prism

Step-by-step explanation:

Option (A). Cube

Base of a cube is a square.

Option (B). Pentagonal prism

A prism is always defined by its base.

Example: triangular prism, rectangular prism

Therefore, pentagonal prism will have a base in the shape of a pentagon.

Option (C). Triangular prism

Triangular prism will have a triangular base.

Option (D). Rectangular prism

Rectangular prism will have a rectangular base.

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