A six-sided die is rolled. What is the probability of landing on a number less than 3? Put our answer in simplest form.

Answers

Answer 1

Answer:

1/3

Step-by-step explanation:

2/6

1/3

Answer 2

Answer:

Probability of any one face to turn up is 1/6,

The probability of any above 3 is 3/6,

The probability of even number is also 3/6

So the probability of either above three or even outcome is 1/6(3/6 + 3/6)=1/6, since both events are independent of the any face event and both events are mutually exclusive.

NB:If the two events are not mutually exclusive, then

P(A) is the total event, P(B) the probability of any face above 3 and P(C) probability of any face an even number, then the Bayesian prediction formula is P(B|C) the probability of the event B occuring while C occurs is equal to (PC|P(B))/(P(B)+P(C), where P(C|B) is probability of C occuring at B.

So P(B|C)=(1/3 * 1/3)/(1/3 + 1/3) =(1/9)/(2/3) = 3/18= 1/6.


Related Questions


The point (2, 20) lies on the graph of y = kx'. Write the value of k.

Answers

Step-by-step explanation:

Y = 20 , X = 2

put in the equation

Y = KX ( given )

20 = K × 2

20/2 = K

10 = K

HELP ASAP. pls ‍❤️‍‍ if u do this i’ll luv u 4ever

Answers

Answer:

A' ( 2,3)

B' ( 5,5)

C ( 7,3)

D'(5,2)

Find how many years it takes for money to triple when invested at an annual interest rate of 4.3% compounded continuously. That’s the entire question and I’m not quite sure what to do?

Answers

9514 1404 393

Answer:

  25.5 years

Step-by-step explanation:

The multiplier for continuous compounding at annual rate r for t years is ...

  e^(rt)

You want the value of t when that is 3 and r=0.043.

  3 = e^(0.043t)

  ln(3) = 0.043t

  t = ln(3)/0.043 ≈ 25.549 . . . . years

Guided Practice


Determine whether the relation is a function. Explain why or why not.


{(3, 7), (3, 8), (3, –2), (3, 4), (3, 1)}


A.
No; the domain value 3 corresponds to multiple range values.


B.
Yes; there is no value in the domain that corresponds to more than one value of the range.


C.
No; a function must have multiple domain values.

Answers

Answer:

A. it is not a function because there are multiple y-values paired with a single x-value.

Step-by-step explanation:

Tacos from the taco truck or 60% off on Tuesdays Erica by the taco for 1.50 on Tuesday she wants to know the regular price of a taco quick answer

Answers

Answer:

3.75

Step-by-step explanation:

i did the lesson its correct :)

Answer:

Regular Price: 100%

                       $3.75

Sale price:    40%

                   $1.50

Discount:

60%

$2.25

Which equation can be used to find the regular price, r, of a taco?

1.5 = 0.4r

Step-by-step explanation:

Read the answers correctly, or you might be typing in the wrong answer.

Everything is all correct, Thank me later :)

please help!! i really need it.
ill give brainilest!!

Answers

Answer:

14

Step-by-step explanation:

i think it's 14. i hope i helped :)

Find the area of 2 and 4

Answers

Answer:

2. 254.469

4. 962.11275

Plug the diameter into the equation:

A = (3.14)r^2

r being the radius

Answer:

2.) 56.52 inches or 56.55

4.) 109.9 km or 109.96

Step-by-step explanation:

diameter x pi = circumference

pLeAsE do this!! In five minutes it's due.

The area of a rectangular garden is 21x²-8x-4. Factor completely to find the dimensions of the box.(So find the length and width.)

Answers

Answer:

It's (7x+2)(3x−2)

Step-by-step explanation:

2(4x + 2) = 12
What is the first step?

Answers

Answer:

The first step is to distribute.

Step-by-step explanation:

2(4x + 2)= 12

8x + 4 = 12

You distribute the 2 to 4x and 2.

Find the length of side x in simplest radical from with a rational denominator.​

Answers

Answer:

4

Step-by-step explanation:

The value of the hypotenuse x will be equal to √6.

What are trigonometric identities?

Equations involving trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities. The Pythagorean Theorem serves as the basis for some of the most popular trigonometric identities, including.

The study of correlations between triangles' side lengths and angles is known as trigonometry.

Given that the angles are 45 and the base is √3 the hypotenuse will be calculated as,

cosθ = Base / Hypotenuse

cos45 = √3 / x

x = √3 / ( 1 / √2)

x = √6

Therefore, the value of the hypotenuse x will be equal to √6.

To know more about trigonometry follow

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Four siblings took turns babysitting their young cousin. If they divided the 5 hour shift evenly, how long did each one babysit for? Give the answer in hours and minutes.​

Answers

5 hours divided by 4 siblings so each sibling babysat for 1 hour and 15 minutes

You work in the quality assurance department for a bottling company. A water bottle is supposed to contain 750
milliliters (mL) of water, and the company sets a tolerance of +5 mL.

What is the least amount of water that is considered acceptable?

1. 740 mL
2. 745 mL
3. 750 ml
4. 755 mL
5. 760 mL

Answers

Answer:

The answer is 3.

Step-by-step explanation:

The company allows an extra 5mL but there is no specified amount for less. if there was it would be ±5mL

Solve the system.
3x + 2y + 4z = 11
2x – y + 3z = 4
5x – 3y + 5z = -1
Enter your answer as an ordered triple.


Someone help please!!

Answers

My math problem is write one hundredths as a decimal

Answer:   (x, y, z) = (-3, 2, 4)

In other words, x = -3, y = 2 and z = 4.

You'll enter the number only into each box.

===============================================================

Explanation:

There are a few routes we can take to solve this. I'll use substitution.

First let's isolate y in the second equation.

2x - y + 3z = 4

2x + 3z = 4+y

4+y = 2x+3z

y = 2x+3z-4

This is then plugged into the first equation

3x+2y+4z = 11

3x+2( y )+4z = 11

3x+2( 2x+3z-4)+4z = 11 .... replace y with 2x+3z-4; since y = 2x+3z-4

3x+4x+6z-8+4z =11

7x+10z-8 = 11

7x+10z = 11+8

7x+10z = 19 .... we'll call this equation (4) and come back to this later

--------------------------------------

Move onto the third equation (of the original equations given)

Plug in y = 2x+3z-4

5x - 3y + 5z = -1

5x - 3( y ) + 5z = -1

5x - 3( 2x+3z-4 ) + 5z = -1

5x - 6x - 9z + 12 + 5z = -1

-x - 4z + 12 = -1

-x - 4z = -1-12

-x - 4z = -13 ..... let's call this equation (5)

--------------------------------------

To recap, we found equation (4) and equation (5) to be

7x+10z = 19-x - 4z = -13

We can then solve for x in equation (5) like so

-x - 4z = -13

-x = -13 + 4z

-x = 4z - 13

x = -(4z - 13)

x = -4z + 13

This is then plugged into equation (4)

7x+10z = 19

7(-4z+13)+10z = 19 .... note how we now have one variable

-28z+91+10z = 19

-18z+91 = 19

-18z = 19-91

-18z = -72

z = -72/(-18)

z = 4

We can use this value of z to find x

x = -4z+13

x = -4(4)+13

x = -16+13

x = -3

Use the values of x and z to find y. We'll revisit the first equation in which we isolated y

y = 2x+3z-4

y = 2(-3)+3(4)-4

y = -6+12-4

y = 6-4

y = 2

So overall, the solution to this system is (x, y, z) = (-3, 2, 4)

-------------------------------

Checking the answer:

We'll replace x,y,z with the values we found.

In the first equation, 3x+2y+4z = 11 becomes 3(-3)+2(2)+4(4) = 11 and that simplifies to 11 = 11. In other words, the expression 3(-3)+2(2)+4(4)  turns into 11. This confirms the first equation.Repeat the same idea for the second equation. We have 2x-y+3z=4 turn into 2(-3)-2+3(4) = 4 and that simplifies to 4 = 4. The answer is verified here. The third equation 5x-3y+5z = -1 becomes 5(-3)-3(2)+5(4) = -1 which simplifies to -1 = -1. We get a true equation here as well.

Since all three equations are true when (x, y, z) = (-3, 2, 4), this verifies the answer completely. This is the only solution to the system. The system is independent and consistent.

p is an odd number
explain why p^2 + 1 is always an odd number

Answers

P^2+1 even because
Step-by-step explanation:
P is an odd number
Any odd number squared is odd
Therefore,P^2+1 is odd
Any odd number= because odd odd =even
Be=P^2+1 is odd odd =even
... P^2+1 = even

The area of square ABCD is 144 square units. The area of square EFGH is 64 square units. H∈ AB and G∈ BC . The blue area is three times the red area. Find the area of △HBG.

Answers

Answer:

24

Step-by-step explanation:

RSM

A number w increased by 6 is at least 24. Using an inequality

Answers

Answer:

x<24

Step-by-step explanation:

[tex]w + 6 \geqslant 24[/tex]

Find the missing angle measurement of a triangle with these angles:

45°, 35.8°, x°

Answers

a = 45   b = 35.8   c = 57.503

Which of the following expressions are equivalent to 0.7 * -4 * 0.4

Answers

Answer:

0.4

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation: Khan

A set of middle school student heights are normally distributed with a mean of 150 centimeters and a
standard deviation of 20 centimeters. Let X = the height of a randomly selected student from this set.
Find P(130 < x < 150).
You may round your answer to two decimal places.

Answers

Answer:

.34

Step-by-step explanation:

Khan

The required value of probability P(130< x < 150) is 0.34.

What is the Z -a score?

A Z-score is stated as the fractional model of data point to the mean using standard deviations.

here, z = x - μ / σ

where, μ = mean and σ = standard deviation

Here,
From the quesiton put value in z score formula,
z = 130 - 150 / 20
z = -1

P (z < - 1) = P(x<130) = 0.15866

P (x > 130) = 0.84134
Now,
P(130< x < 150) = 0.5 - P(x<130)
P(130< x < 150) = 0.5 - 0.15866 = 0.34134

Thus, the required value of  P(130< x < 150) is 0.34.

Learn more about the z-score here:

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Will give brainliest if your right
A scientist conducts an experiment to observe the half-life period of the radioactive element barium. He starts the experiment with 200 grams of barium and records the mass at the end of every thirteen day. After how many days is the mass of barium closest to 1.5 grams?​

Answers

Answer:

It would be 91 days

Step-by-step explanation:

Hope this helps :)

How do I do this please help me

Answers

Answer:

Answer of first one is. = angle 3

answer of second one is = angle 4

answer of third one is = angle 2

angle of fourth one is = 5

and last.one is angle 1

The cost to rent a raft is $7 per person. A raft can hold up to 6 people. There is a $3 launch fee per raft. What is the total cost for a group of 6?


Before you tell me the answer tell me how do I explain how I got my answer :{

Answers

Answer:

$42 [$7/person*6 people]+$6[$3 launch fee/raft*2 rafts]

Step-by-step explanation:

$48 total

PLEASE MARK BRAINLIEST

NEED IT FOR A NEW RANK

ty in advance:D

Can you guys help me? please

Answers

Answer:

3 square root 2.

Step-by-step explanation:

I think the answer is b (3 square root 2). the Pythagorean therom states that B^2+ B^2= C^2. we know that c squared is 36. 3 square root 2 is approximately 4.24. ( this squared is 17.98). 17.98 + 17.98 = 35.96.  If i round this up, it is 36.

Can anyone round the number 277235.2251 for me please. Asap please!!!

Answers

Answer:

277,235.23

Step-by-step explanation:

You have to round to the nearest 0.01 or you can call it the Hundredths Place.

I JUST DOD THE IMPOSSIBLE AND SOLVED A RUBIX CUBE IN 19 MOVES

Answers

Answer: see what you gotta do is/right/left/up/turn left/ down/up/down/down/ right up/ 2nd row turn left/ then do it all over again in you got it

Step-by-step explanation:

/right/left/up/turn left/ down/up/down/down/ right up/ ALSO CAN I BRAINLIEST IF I HELPED.

x + 2y < -2
How do I graph this

Answers

Answer:

Put

[tex]x < - 2 - 2y[/tex]

Then put some of value to y and get x then we can graph it

Can someone help me please thank you!

Answers

Answer:

135

Step-by-step explanation:

That's the answer.........

help would be great during these troubling times​

Answers

Answer:

117 - 120 < -3

-3 < -3

False no

because it is not above -3

Step-by-step explanation:

Answer: No

Step-by-step explanation:

x = 9

y = 6

13x - 20y < -3?

Substitute the values of x and y

13(9) - 20(6) < - 3?

117 - 120 < -3?

-3 </ -3

-3 = -3

(9, 6) is not a solution

What is the answer to 2 1/3 ÷ (-3 2/3) ?

Answers

Answer:

2 1/3 / (-3 2/3) = -0.636363636  AKA 0.636

Step-by-step explanation:

Step-by-step explanation:

[tex]2 \frac{1}{3} \div ( - 3 \frac{2}{3} )[/tex]

[tex] \frac{7}{3} \div ( - \frac{11}{3} )[/tex]

[tex] \frac{7}{3} \times ( - \frac{3}{11} )[/tex]

=

[tex] - \frac{7}{11} [/tex]

Tera can jog 5.5 miles in 1
hour. At the same rate, how face can she jog in 2 hours

Answers

Answer:

11 miles

Step-by-step explanation:

if she can jog 5.5 miles in 1 hour, than in 2, she can jog 11 miles, because 5.5(miles) x 2 (hours) = 11

hope this helps :)

a brainliest would be appreciated

11 miles 5.5x2(hours)= 11
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