Nine cards are numbered from 1 to 9 and placed in a box. One card is selected at random and not replaced. Another card is randomly selected. What is the probability of selecting two prime numbers?

Answers

Answer 1

Answer:

1/6

Step-by-step explanation:

There are 4 primes. So the probability for the first draw is 4/9. Since the card is not replaced, the second probability is 3/8. 3/8 * 4/9 is 12/72, which simplifies into 1/6.

Answer 2

Answer:

1/6

Step-by-step explanation:

There are 4 possible primes: 2, 3, 5, 7

First card has 4/9 probability of being a prime. Second card has 3/8 probability of being a prime(since 3 prime cards left and 8 total cards left because we do not replace the first card). 4/9 * 3/8 = 1/6.

Another way to do this is using combinatorics. C(9,2) = 36 ways to choose 2 distinct cards, C(4,2) = 6 ways to choose two of the "prime" cards. 6/36 = 1/6.


Related Questions

Can anyone tell me what median,mode, and mean is? thanks :)​

Answers

Answer:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

The median is the middle value when a data set is ordered from least to greatest.

The mode is the number that occurs most often in a data set.

Step-by-step explanation:

Pls, choose me as brainliest!

n - 5 = 3n + 1

solve for n.

Answers

Answer:

-3

Step-by-step explanation:

n-5=3n+1

3n-n= -5-1

2n= - 6

n=-3

Question 4 of 10
Which set of values could be the side lengths of a 30-60-90 triangle?

Answers

the right answer is c

You deposit $450 in an account that pays
6% interest compounded yearly. What is
the account balance after 6 years?

Answers

Answer:

638.33

Step-by-step explanation:

[tex]450(1+.06)^6[/tex]

please rate and mark as brainles.t

if a and b are integers, what conditions would make a×b >0?​

Answers

Answer:

If a and b are either both positive integers or both negative integers

Step-by-step explanation:

If a and b are both positive integers (a>0 and b>0), then the product will obviously be a positive number. Additionally, if both terms are negative (a<0 and b<0), the product of two negative integers is positive and will satisfy the condition.

Integers are numbers without decimal points.

The conditions that would make [tex]\mathbf{a \times b > 0}[/tex] are: a, b > 0 or a, b < 0

From the question, we have:

[tex]\mathbf{a \times b > 0}[/tex]

Divide both sides by a

[tex]\mathbf{b > 0}[/tex]

Divide both sides by b

[tex]\mathbf{a > 0}[/tex]

The above means that, for [tex]\mathbf{a \times b > 0}[/tex] to be true, then [tex]\mathbf{a > 0}[/tex] and [tex]\mathbf{b > 0}[/tex]

Another possible condition is that:

[tex]\mathbf{a \times b > 0}[/tex]

Divide both sides by -a

[tex]\mathbf{b<0}[/tex]

Divide both sides by -b

[tex]\mathbf{a<0}[/tex]

The above means that, for [tex]\mathbf{a \times b > 0}[/tex] to be true, then [tex]\mathbf{a<0}[/tex] and [tex]\mathbf{b<0}[/tex]

Hence, the condition that would make [tex]\mathbf{a \times b > 0}[/tex] true is that: a and b have the same sign

Read more about integers at:

https://brainly.com/question/18258950

2a - 5 > 3 please help ASAP :)))

Answers

Answer:

a>4

Step-by-step explanation:

I dont understand this someone help please

Answers

Hello

3 + 5 + 7 = 15

cups of tomato =  105 x 5/15 = 35

Answer:

49

Step-by-step explanation:

sum the parts of the ratio, 3 + 5 + 7 = 15 parts

divide cups of salsa by 15 to find value of one part of the ratio

105 ÷ 15 = 7 ← value of 1 part of the ratio , then

7 parts = 7 × 7 = 49

49 cups of tomato are required

Which statement best describes what the graph shows?
A. As speed increases, kinetic energy stays the same.
B. As kinetic energy increases, speed decreases exponentially
C. As speed decreases, kinetic energy doubles each time.
D. As speed increases, kinetic energy increases exponentially

Answers

Answer:B

Step-by-step explanation:Why because kinetik energy is moving and since its a curve line instead of straigh the speed will decrease

Sorry if I am wrong

3
Which of the following is a rational number?
O A. 66
OB.
7
OC. 36
OD.
V40

Answers

they are all rational except for 7

Click to select the figure in the image that would portray the rotation of the given preimage. The arrow represents both the direction and angle measure of the rotation.

Pre-image:



Image:

Answers

Based on the First image, the correct option is the fourth image while based on the second image, the correct option is the fourth image also.

Wat is the rotated in the above direction  about?

Given that the pre-image is rotated in the direction of the arrow as seen an the first image.

It is required to find the image formed also in that given direction.

Based on the fact that the arrow is rotating counter-clockwise, we get that, the shape of the pre-image will also rotate upwards towards the left hand side of the image shown.

So, based on the options (Taking the 1st image as pre-image), we have,

The fourth image where the shape is at the highest height will be the the fourth image after rotating the pre-image.

Learn more about image construction  from

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Exterior Angles. Please help my homework is due tomorrow

Answers

So what you want to do is find the third angle of the inside triangle (three of em adds to 180 obviously) so the interior angle should be 87. Next subtract 180 (the whole line) by 87 to find the missing exeterior angle which is 93

Find B in degrees. PLEASE HELP. MARKING BRAINLIEST!!!

Answers

You would use tangent, because you have the opposite (6) and the adjacent (11), and tangent is opposite over adjacent, so 6/11, converted to decimals is 0.5454… which when compared to a chart of tangents, rounded to the nearest degree is 24

Answer:

28.61

Step-by-step explanation:

[tex]tan^{-1} (6/11)[/tex]

Quincy ordered a meal at a restaurant for $9.85. After a tax
of 3.3% was added, he added a 22% tip.
How much did Quincy pay?

Answers

Answer:

$12.42

Step-by-step explanation:

so the meal itself was $9.85

9.85*3.3% approximately equals $0.33

9.85+0.33=10.18

10.18*22% approximately equals $2.24

10.18+2.24=12.42

Therefore the answer is $12.42

Barbara is buying 4 binders, and each binder costs the same amount. She uses a coupon that gives her $3 off for the total purchase price of the binders. Barb pays a total of $11 when the value of the coupon is subtracted. Which equation shows how to find p, the original price of each binder?

Answers

Answer:

Equation is 4 p-3=11

Step-by-step explanation:

Barbara is buying 4 binders each cost same amount.

Let the cost of 1 binder is '$p'.

So, cost of 4 binders = $4 p.

Now, a coupon that gives her $3 off.

So, Barb needs to pay 4 p-3 dollars.

Barb pays a total of $11 when the value of the coupon is subtracted.

So, we can set up equation as

4 p-3=11

Linear, Quadratic, or Exponential.
please number the answers! ​

Answers

I really don’t know but I think First one look linear, second is exponential, third linear , fourth look like quadratic
first one is linear
second one is exponential
third one is linear
fourth one is quadratic
:))

NEED HELP ASAP! THANK YOU!
To get to Checkpoint C, Helena needs to run north 6 units, crawl through a 4-unit-long tube to the east, hopscotch south 3 units, jump 1 unit to the east, and run south 3 units.
1. Since she began at Checkpoint B, what are the coordinates for Checkpoint C?
2. What would be an easier way to get from Checkpoint B to Checkpoint C?
3. How might you be able to figure this out just by reading the description of the translations? (Hint: It may help you to plot these points on a graph or draw a picture.)

Answers

Helena's motions, including the 6 units north, 4 and 1, east, 3 and 3 south gives;

(5, 0)5 units to the southAdding the motions based on their directions

How can the position of Helena be found?

1. Let the coordinates of checkpoint B be (0, 0), using vectors, we have;

[tex]6 \times j \: + 4 \times i - 3 \times j \: + i - 3 \times j = 0 \times j \: + 5 \times i[/tex]

The coordinates of checkpoint C is therefore; (5, 0)

2. The easier way to get to checkpoint C from point B is to go south 5 units.

3. How it is possible to figure out the shortest route is by taking the northwards and eastwards motions as positive numbers, and the motions to the south as negative.

The motions to the north can only be added to the motions to the south (motions in the same straight line) and the motions towards east are to be added to themselves.

Learn more about vectors here:

https://brainly.com/question/24855749

Answer:

5, 0

5 units south

adding motions based on direction

Step-by-step explanation:

How to Simplify 4y^2 x y^3?

Answers

Answer:

4y⁵

Step-by-step explanation:

xⁿ·xⁿ = xⁿ⁺ⁿ

1). 4y²·y³

2). 4(y²·y³)

3). 4y²⁺³ = 4y⁵

If 11% of people are left handed, and there are 484 students and 45 adults at our school, approxumately how many people are left handed?​

Answers

Answer:440

Step-by-step explanation:

what is 26*46-14
[tex]26 \times 46 - 14 = [/tex]

Answers

26*46 is 1196-14 is 1182

Answer: 1182

Step-by-step explanation:

27. The perimeter of a rectangle is 46 inches. If the width of the rectangle is 11 inches, what is
the length?

A. 12 in
B. 23 in
C. 35 in
D. 24 in

Answers

Answer:

12

Step-by-step explanation:

perimeter is (a+b) x 2 = 46

a is width and b is length

a=11

(11+b) x 2 = 46

22 + 2b = 46

2b = 24

b = 12 ( length )

Solution:

We know that:

Width of rectangle = 11 inchesPerimeter of rectangle = L + B + L + B = 2L + 2B

Substitute the width in the expression:

2L + 2B = Perimeter2L + 2(11) = 46 in

Simplify the LHS:

2L + 22 = 46 in

Subtract 22 both sides:

2L = 46 - 222L = 24

Divide 2 both sides:

2L/2 = 24/2L = 24/2 = 12 in

ILL MARK BRAINILEST (100 POINTS) !!! Factor the polynomial 7xy + 14x − 35y − 70 completely. 7(2x − 5)(y + 2) 7(x − 5)(y + 2) 7(x − 2)(y + 5) 7(x − 10)(y + 2)

Answers

Answer:

B. 7(x − 5)(y + 2)

Explanation:

A. 7(2x − 5)(y + 2) = 14xy + 28x − 35y − 70 (Wrong)

B. 7(x − 5)(y + 2) = 7xy + 14x − 35y − 70 (Correct)

C. 7(x − 2)(y + 5) = 7xy + 35x− 14y − 70 (Wrong)

D.  7(x − 10)(y + 2) = 7xy + 14x − 70y − 140 (Wrong)

2nd one

Let's verify

[tex]\\ \rm\Rrightarrow 7(x-5)(y+2)[/tex]

[tex]\\ \rm\Rrightarrow 7(xy-5y+2x-10)[/tex]

[tex]\\ \rm\Rrightarrow 7xy-35+14x-70[/tex]

Verified

What’s 3/45 divided by 4000/5467

Answers

Answer:

Here is the answer.

Step-by-step explanation:

5467/60000 I hope this helps!

just need this &' three more .

Answers

Answer:

3(x-4)=6x-2(x+3)

3x-12=6x-2x-6

3x-12=4x-6

3x-4x=-6+12

-x=6

:.x=-6

✿[tex]\underline{\textbf{\textsf{ \purple{Solution}:- }}}[/tex]

[tex]\sf{\\}[/tex][tex]\sf3(x - 4) = 6x - 2(x + 3)[/tex] [tex]\longrightarrow \sf3x - 12 = 6x - 2x - 6 [/tex] [tex]\longrightarrow\sf3x - 12 = 4x - 6[/tex] [tex]\longrightarrow\sf3x - 4x = 12 - 6 [/tex]

[tex]\longrightarrow\sf -x = 6[/tex]

[tex]\leadsto \underline{\boxed{\mathfrak{ \pink{x = -6} }}} [/tex]

If PQ= 18 units, where should the midpoint lie to divide the line segment into two congruent segments?

Answers

At 9 units (hence mid-point middle)

The table shows the average number of hours of daylight per day for the last four months of the year. A 2-column table with 4 rows. The first column is labeled month of year with entries 9, 10, 11, 12. The second column is labeled average hours of daylight per day with entries 12. 37, 11. 37, 10. 57, 10. What is the correlation coefficient for the data in the table? –0. 993 –0. 791 0. 791 0. 993.

Answers

Answer:

a is the correct option

Step-by-step explanation:

The value of the correlation coefficient is -0.993, The correct option is A.

What is the Correlation Coefficient?

The coefficient used to determine how strong is the relation between the two variables in the data set is the Correlation Coefficient.

The correlation coefficient is determined by using the following formula

[tex]\rm r = \dfrac{ n(\sum xy) - \sum x\sum y}{\sqrt {n\sum x^2 - (\sum x)^2 }\sqrt{n\sum y^2 - (\sum y)^2}}[/tex]

The values of the required data will be calculated from the data given

n = 4 rows

∑x = 42

∑y = 44.37

∑xy = 461.3

∑x^2 = 446

∑y^2 = 494

Putting the values in the equation of correlation coefficient:

r = -0.993

Therefore, the value of the correlation coefficient is -0.993, The correct option is A.

To know more about Correlation Coefficient

https://brainly.com/question/15577278

#SPJ2

9
Rita buys a box of chocolates.
(Extra)
For every 2 plain chocolates there are 3 milk chocolates.
There are 30 chocolates in the box.
How many milk chocolates are there?
Show your method

Answers

Answer:

12 plain and 18 milk

Step-by-step explanation:

convert it to fraction first: 2/5 are plain and 3/5 is milk

30÷5= 6

2x6=12

3x6=18

to check wheter or not it is correct add the amount. if it gets the total, it is correct.

Find the value of x so the function has the given value.
f(x) = 3x - 4; f(x) = 17
Please HELP

Answers

Answer:  7

Step-by-step explanation:

To find the value of x, we can set the f(x) of each equation equal, so we get

3x - 4 = 17

    + 4    +4

     3x = 21

       x = 7 [Divide 3 by both sides]

PLEASE HELP ME
the function f(x)=x^2 is transformed to the function g(x)=2(x-2)^2 +1
I already did a just need help sketching the original graph please review the picture I made It easy

Answers

Answer:

f(x) → f(x - b) means shift the function b units to right

Therefore x² → (x - 2)² means the function is moved 2 units to the right.

f(x) → a f(x) means a vertical stretch

Therefore (x - 2)² → 2(x - 2)² means the function stretched vertically by a scale factor of 2.

f(x) → f(x) + b means shift the function b units up

Therefore 2(x - 2)² + 1 means the function is moved 1 unit up.

Attached diagram:

f(x) is shown in black, g(x) is shown in red.

Points to help plot graph f(x):

(-3, 9)   (-2, 4)   (0, 0)   (2, 4)   (3, 9)

Points to help plot graph g(x):

(0, 9)  (2, 1)  (4, 9)

2. Can a triangle have 2 obtuse angles?
Explain

Answers

A triangle can’t have 2 obtuse angles. the sum of a triangles angles must equal 180°. Obtuse angles are any angles over 90°. Having 2 angles more than 90° will be more than 180°

I don’t understand the question m

Answers

Answer:

It equals 77 degrees

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