marbles numbered from 1 to 12 are put in a bag. if marbles are not put back into the bag after being drawn, what is the probability of drawing two prime numbers in a row?

Answers

Answer 1

Answer:

[tex]Probability = \frac{1}{11}[/tex]

Step-by-step explanation:

Given

Marbles = 12

Selection without replacement

Required

Determine the probability of selecting 2 primes

Between 1 and 12, the prime digits is 4, and they are: 3, 5, 7 and 11

So, when the first marble is picked, the probability that it will be prime is:

[tex]P(First) = \frac{4}{12}[/tex]

Now there are 3 primes left and 11 marbles in total. So, the probability of selecting another prime is:

[tex]P(Second) = \frac{3}{11}[/tex]

The required probability is:

[tex]Probability = P(First) * P(Second)[/tex]

[tex]Probability = \frac{4}{12} * \frac{3}{11}[/tex]

[tex]Probability = \frac{1}{11}[/tex]


Related Questions

Determine the equivalent system for the given system of equations.


4x − 5y = 2

10x − 21y = 10


A. 4x − 5y = 2

3x − y = 4

B. 4x − 5y = 2

24x − 47y = 22

C. 4x − 5y = 2

10x + 3y = 15

D. 4x − 5y = 2

14x + 26y = 12

Answers

Answer:

B) 4x − 5y = 2

24x − 47y = 22

Help ?? Anyone and how

Answers

Answer:

just insert the x numbers in the calculation.. so for x = - 3 - > (- 3) / 2 +4 = 2.5

Step-by-step explanation:

x - 2 = y 3

and so on

A kite is shown below with given dimensions in inches. What is the area in square units

Answers

Answer:

320

80

Step-by-step explanation:

SO BAD RN SMH SMH...HELP ME WITH MATH
4 x 2 - 5 + 63 + 1 =

Answers

Answer:

67

Step-by-step explanation:

4x2= 8-5= 3 + 63 = 66 + 1 = 67

Is the sum of the
angle measures always equal to the
sum of the arc measures


Yes or no ?

Answers

Answer
Yes


Explanation
I just know

Can you help with this I don’t know how to solve this.

Answers

Answer:

[tex]arclength = 13.44 ft[/tex]

Step-by-step explanation:

We are given PS = 28 feet, which is the length of the diameter.

The formula for arc length is  [tex]2\pi r\frac{x}{360}[/tex], where x is the degrees.

So, we need to find the radius. We know that the radius is half of the diameter, so:

[tex]\frac{28}{2}=14 ft[/tex]

We also need to find ∠TXS. Since we know the diameter is a line that crosses the center point of the circle, we also know that ∠PXT and ∠TXS add up to 180°. So:

∠PXT + ∠TXS = 180

125 + ∠TXS = 180

∠TXS = 180 - 125

∠TXS = 55°

Now, we can use the arc length formula:

[tex]arclength=2\pi r\frac{x}{360}[/tex]

[tex]arclength=2\pi (14)\frac{55}{360}[/tex]

[tex]arclength=13.43903524...[/tex]

[tex]arclength = 13.44 ft[/tex]

Check my work to make sure! Hope this helps!

Your test scores in one class are 79 and 83. What possible scores can you earn on your next test to have a test average between 81 and 87, inclusive?

Answers

Answer:

83 and 84

Step-by-step explanation:

these numbers will both work because if you make an equation 79+83+x=y, with 87≥y≥81, and plug in these numbers for x, the answers are around 82 which is within the range.

2. In triangle ABC, SA is a right angle, and m B = 45°
(1 point)
C
16 ft
A
B.
What is the length of BC? If your answer is not an integer, leave it in simplest radical form.
O 16 ft
O 16.2 ft
O 16.5 ft
O 32 ft

Answers

Answer:

[tex]16\sqrt{2}[/tex]

Step-by-step explanation:

The given triangle shown is a 45-45-90. We can use this picture attached to figure out BC.

n in this case is 16ft

Based on the picture, we can get BC's length, which is n[tex]\sqrt{2}[/tex]

BC = [tex]16\sqrt{2}[/tex]

Please help i will give branliest!!!

Answers

Answer:b

Step-by-step explanation:

3.5*5*.5=8.75

how do u find the angle measure of l

Answers

Answer:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.

Simplify the expression 1/2(h+4) - 1/8(h+4) by combining like terms.
A. 1/6 (h+4)
B. 3h/8 + 2/10
C. 3/8 (h-4)
D. 3/8 (h+4)
WILL GIVE BRAINLIEST IF THE ANSWER IS CORRECT.

Answers

Answer:

3h/8+3/2

Step-by-step explanation:

Answer:

D. should be the correct answer.

my question is in the picture​

Answers

Answer:

x = 1

y = -1

Step-by-step explanation:

-5x + 5y = -10

rewrite the order:

5y = 5x  - 10

6x + 5y = 1

rewrite the order:

5y = 1 - 6x

substitute for 5y:

5x - 10 = 1 - 6x

simplify:

11x = 11

x = 1

5y = 1 - 6(1) = -5

y = -1

math HELPPP MEEEEEEEE

Answers

Answer : 51x +26y+17

Step-by-step explanation :

Answer: I HAVE YOUR ANSWER!!!!!

Step-by-step explanation:

51x + 26y + 17

Use the multiplier method to decrease £56 by 14% show your working

Answers

Answer: £46.44

Step-by-step explanation:

£56 × 0.86 or (1 - 0.14)

m∠IJK=155° and m∠ZJK=35°. Find m/∠IJZ

Answers

120° because 155-35=120 since IJZ is inside the IJK so you would have to subtract the ZJK from the IJZ.

Help me me please now

Answers

Answer:

AAA

Step-by-step explanation:

The AAA (angle-angle-angle) theorem proves they have 3 congruent angles, but not congruent sides.

Write an equation to represent the total cost y for x days of renting a mid-size car from each of these companies. *

Answers

Answer:

Step-by-step explanation:

Hindi ko alm hehe

Yo no si sorryyyyyyyyyyyyyyyyyyyyyyy

An English professor assigns letter grades on a test according to the following scheme. A: Top 13% of scores B: Scores below the top 13% and above the bottom 61% C: Scores below the top 39% and above the bottom 20% D: Scores below the top 80% and above the bottom 10% F: Bottom 10% of scores Scores on the test are normally distributed with a mean of 72.8 and a standard deviation of 7.3. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.

Answers

Solution :

The test is distributed normally with mean of 72.8 and the standard deviation of 7.3

Finding numerical limits for the D grade.

D grade : Scores below the top 80% and above the bottom 10%.

Let the bottom limit for D grade be [tex]$D_1$[/tex] and the top limit for D grade be [tex]$D_2$[/tex].

First find the bottom numerical limit for a D grade is :

[tex]$P(X<D_1)= 0.10$[/tex]

[tex]$P(X\leq D_1)= 0.10$[/tex]

[tex]$P\left(\frac{X-\mu}{\sigma} \leq \frac{D_1-\mu}{\sigma}\right) = 0.10$[/tex]

[tex]$P\left(Z \leq \frac{D_1-72.8}{7.3}\right) = 0.10$[/tex]    ..........(1)

From (1)

[tex]$\frac{D_1 - 72.8}{7.3} = -1.28$[/tex]

[tex]$D_1 = -1.28(7.3)+72.8$[/tex]

      = 63.45

       ≈ 64

Now the top numerical limit for D grade :

[tex]$P(X>D_2)= 0.80$[/tex]

[tex]$1-P(X\leq D_2)= 0.80$[/tex]

[tex]$P(X\leq D_2)= 1-0.80$[/tex]

[tex]$P(X\leq D_2)= 0.20$[/tex]

[tex]$P\left(\frac{X-\mu}{\sigma} \leq \frac{D_2-\mu}{\sigma}\right) = 0.20$[/tex]

[tex]$P\left(Z \leq \frac{D_2-72.8}{7.3}\right) = 0.20$[/tex]    ..........(2)

From (2)

[tex]$\frac{D_2- 72.8}{7.3} = -0.84$[/tex]

[tex]$D_12= -0.84(7.3)+72.8$[/tex]

      = 66.668

       ≈ 67

Therefore, the numerical limit for a D grade is 64 to 67.

The difference between one-third of a number and 11 is 10 in number form

Answers

1/3n - 11 = 10
1/3n = 21
n= 21x 3
n = 63

Answer:

63

Step-by-step explanation:

The difference between one-third of a number and 11 is 10. x = 3*21, x = 63.

the speed of the current in a creek is 2 mph. A person can kayak 4 mi upstream in the same time that it takes him to kayak 8 mi downstream. What is the speed of the persons kayak in still water?

Answers

Answer:

I think 6 mph

Step-by-step explanation:

I needore characters so ingnor this sentence.

Express as a difference: a+b, a+5

Answers

Answer:

a - (-b), a - (-5)

Step-by-step explanation:

A double negative negative is a positive, so a - (-b) = a + b, and a - (-5) is a + 5. However, a double negative is still a difference, so this answer works.

Answer:

The answer is a-(-b)

Step-by-step explanation:

It says difference, so you delete plus sign with minus sign

#5
(10 pts) You are jumping on a trampoline. For one jump, your height y (in feet) above the trampoline after t seconds can
be represented by y = -16t² + 24t. How many seconds are you in the air?

Answers

Answer:

1.5 seconds

Step-by-step explanation:

i took a test with the same question

Answer:

1.5

Step-by-step explanation:

taking the test

what is 1+1? pls, I need help. its for school

Answers

Answer:

its 2 :)

Step-by-step explanation:

Answer:

oh what a stiff XD

Step-by-step explanation:

ok 1+1=2 lol ❤️✌️ hey where you from I'm anmol kulkar from India

I am 20 years older than twice my daughter's age how old is my daughter you should already know my age in the last problem
17 years ago I was half the age I am now how old am I
this question is 100 points

Answers

Answer:

You are 34 years old

Step-by-step explanation:

Because, 34-17=17

17 is half of 34.

2x+20=y

y-17=0.5y

+17    +17

y=0.5y+17

2(0.5y+17)+20=0.5y+17

y+34+20=0.5y+17

y+54=0.5y+17

y=34

Answer:

Step-by-step explanation:

x= "I" age

x is 20 years older than x's daughter's age.

To find out daughter's age = 17x2 (34)

34-20 = 14

The daughter is 14.

find the value of b in rectangle

Answers

be will equal 23. i’ll attach work

Corrie breathed 1 × 10^7 times in a year. She blinked 8 × 10^6 times that year. How many more times did Corrie breathe in a year than she blinked in that year? Write your answer in standard notation

Answers

Snskskskjssksj28828384838188:$2&82:&/&:&

Step-by-step explanation:

1 × 10 ^7 - 8 × 10 ^ 6

2 × 10 ^ 6 which is also equivalent to 2,000,000

Which one is a unit rate?
sk
5 pounds in 2 bags
15 miles per gallon
$8.00 for 3 boxes of oranges
22gallons of water in 5 days

Answers

number 2- 15 miles per gallon.
the key word in this example is per, which is a key word for unit rate.
hope this helps:)

Can someone please help me

Answers

Answer:

x = 20

y = 12

Step-by-step explanation:

opposite angles are congruent so we can set up this equation:

5x + 29 = 7x - 11

29 = 2x - 11

40 = 2x

x = 20

5(20) + 29 = 129

7(20) - 11 = 129

3y + 15 = 5y - 9

15 = 2y - 9

24 = 2y

y = 12

3(12) + 15 = 51

5(12) - 9 = 51

Can someone please help me I’m it’s kinda blurry but you have to zoom in

Answers

Answer:

1 is x=53

2 is x=37

3 is x=45

4 is x=180

5 is x=130

6 is x=90

7 is x=15

8 is x=60

9 is x=20

10 is x=140

11 is x=47

12 is x=18

Step-by-step explanation: These can all be solved using vertical angles, complimentary angle theorem, and supplementary angle theorem! Really fancy names to say that opposite angles are equal, vertical angles (like #5).  Two angles that add up to 180 degrees forming a straight line, complimentary angles (like in #1). And in a right angle two angles will always add up to 90 degrees (#7 for example). 10 11 and 12 require you to use vertical angles and complimentary angles to solve them.

above ^^^^^^^^^^^^^^^^^^^^^^^

You have different lengths of material to use for a craft project:

0.93m 1.24m 0.62m 3.41m 1.5m 1.4m

Convert each length to centimetres, and then add them together to correctly calculate the total length.

Answers

Answer:

[tex]Lengths: 93cm, 124cm, 62cm, 341cm, 150cm, 140cm[/tex]

[tex]Total := 910cm[/tex]

Step-by-step explanation:

Given

[tex]Lengths: 0.93m, 1.24m, 0.62m, 3.41m, 1.5m, 1.4m[/tex]

Required

Convert to length and calculate the total

To calculate to centimeters, we simply multiply each length to 100.

So, we have:

[tex]Lengths: 0.93m, 1.24m, 0.62m, 3.41m, 1.5m, 1.4m) * 100[/tex]

[tex]Lengths: 93cm, 124cm, 62cm, 341cm, 150cm, 140cm[/tex]

The total is:

[tex]Total := 93cm+ 124cm+ 62cm+ 341cm+ 150cm+ 140cm[/tex]

[tex]Total := 910cm[/tex]

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