Two cards are randomly drawn. (5 blue cards and 3 yellow cards) What is the probability of drawing two blue cards if the fist card is not included in the second draw? simlify your answer completely

Answers

Answer 1

Answer:

5/14

Step-by-step explanation:

The probability of drawing a particular coloured card is the number of cards that are that colour, divided by the total number of cards:

The probability of drawing a blue card on your first draw would be 5 out of (5 + 3) = 5/8

The next draw would be the same principle, but the denominator (bottom number of the fraction) would be 1 less, because you have just taken out 1 card on your first draw:

The probability of drawing a blue card on your second draw (after drawing a blue card first) would be 4 (since you have already taken one) out of (8 - 1) = 4 / 7

To find the probability of both these steps combined, you multiply the two fractions together:

5/8 x 4/7 = 20/56

The question asks you to simplify, which means that the final answer is 5/14

Hope this helps!


Related Questions

The population of a city increases by 0.9% per year. If this year's population is 261,000, what will next year's population be, to the nearest individual?

Answers

Answer:

263349

Step-by-step explanation:

I did mental math and big brain

What is a Graphic representation of association between variables

Answers

Such a graphical representation is called a scatterplot. A scatterplot shows the relationship between two quantitative variables measured for the same individuals. The values of one variable appear on the horizontal axis, and the values of the other variable appear on the vertical axis.

Graph the following Standard Form equation.
​3x + 4y = 12

Answers

Answer: See my graph below

Step-by-step explanation:

should be (0,3), (4,0) but im not completely sure!!

Hands-on equations lesson 10

Answers

Answer:

Step-by-step explanation:uhHoAnd ghiorioghiltihlgitrghile

The sides of a rectangle are in the ratio of 5:6. If its longer side is 7.2 in., find the shorter side, the perimeter, and the area of this rectangle. PLSSS HELP

Answers

Answer:

43.2

26.4

6

Step-by-step explanation:

so first if we know that the loger side's ratio is 6 we divided by 7.2

7.2 divided by 6 which is 1.2

so we mulitply the 5 by 1.2

so the shorter side is 6

6 x 7.2 = 43.2 is the area

14.4 + 12 = 26.4 is the perimeter

HELP PLEASE WILL MARK BRAINLIEST TO BEST ANSWER

Answers

Answer:

the answer is B

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Write the equation of the mine in fully simplified slope intercept form

Answers

The answer would be -5/3x+8
y = -5/3x + 8

Y intercept = Where the equation starts.
In this case, 8.

Slope = 5 down and 3 run
-5 and 3 = -5/3

please mark brainiest :)

An art teacher has 47 1/3 pounds of clay.he wants to give each student in his class 2 1/2 pounds of clay. The teacher estimates that he has enough clay for 9 students. Is this the best estimates explain

Answers

Answer:

47 1/3 = 142 / 3      total clay

2 1/2 = 5 / 2      clay required for each student

If we divide total clay by clay per student

(142 / 3) / (5 / 2) = 284 / 15 = 18.9

So he should have enough clay for 18 students

(Edmentum)
Part A Write an expression to find size of the largest jellyfish. Represent the expression in meters as a product of two numbers in scientific notation.

Answers

Answer:

The expression for the size of the largest jellyfish 1 × 108 • 2 × 10-8 meters.

Step-by-step explanation:

A jellyfish can be up to 1 × 108 times bigger than femtoplankton. Find the size of the largest jellyfish by multiplying the size of a femtoplankton by 1 × 108 times.

The size of a femtoplankton is 2 × 10-8 meter. That means the expression for the size of the largest jellyfish 1 × 108 • 2 × 10-8 meters.

Please solve this geometry math problem... I will mark you brainliest

Answers

There you go! Hope it helps.

a number between 55 and 101 that is a multiple of 3, 5, and 9.

Answers

Answer:

90

that's the only number I could think of

1) Given A = {1, 2, 3, 4, 5 }; B = {2,4,6,83 2,4,6,8} Find A∩B, A-B

2) Is it true to say that sin ( A+B) = -sinA + sinB

3) prove that ( tan theta - sin theta ) / ( tan theta + sin theta ) = ( sec theta - 1 ) / ( sec theta + 1 ) ​

Answers

Answer:

A∩B = 2,4

A-B = 1,3,5

sin (A+B) = sin(A)cos(B)+cos(A)sin(B)

Step-by-step explanation:

A intersects U means the numbers that are coming to both A and U

set a minus set b of the numbers that are not common to B

multiply the numerator and the denominator by csc(x)

NOTE: I substituted x for theta as I don't have theta on my phone

[tex] \frac{ \csc(x) }{ \csc(x)} \frac{ \tan(x) - \sin(x) }{ \tan(x) + \sin(x) } = \frac{ \sec(x) - 1}{ \sec(x) + 1} [/tex]

[tex] \frac {\csc(x)}{\csc(x)} \frac {\frac ({\sin(x)}{\cos(x)}-\sin(x)} {\frac ({\sin(x)}{\cos(x)} + \sin(x)}) [/tex]

If f(x)= x² + 3x –10, then over which of the following intervals is f(x) <0?

Answers

Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation: (−∞,∞)

Set-Builder Notation: {x|x∈R}

f(x) is continuous on (−∞,0).

The function is continuous.

Step-by-step explanation:

Type the integer that makes the following addition sentence true: 9 + what = 2​

Answers

I believe the answer to be (-7)

Answer:

-7

Step-by-step explanation:

Step 1: Make an equation.

[tex]9 + x = 2[/tex]

Step 2: Subtract 9 from both sides.

[tex]9 + x - 9 = 2 - 9[/tex] [tex]x = -7[/tex]

Step 3: Check if solution is correct.

[tex]9 + (-7) = 2[/tex] [tex]9 - 7 = 2[/tex] [tex]2 = 2[/tex]

Therefore, the integer that makes the addition sentence true is -7.

5 ounces of potatoes produce about 20 calories. What is the unit rate in
calories per ounce?

Answers

Answer:

4 calories per ounce.

Step-by-step explanation:

20/5 = 4

1 ounce =4 calories

May I please receive help

Answers

Answer:

the slope is 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope of ║ line is ( - [tex]\frac{5}{4}[/tex] )

slope of ⊥ line is [tex]\frac{4}{5}[/tex]

what is the slope of the line on this graph

Answers

Answer:

-1/3 is the slope for this graph

Step-by-step explanation:

-2/6

If DEKL, then M _____ F.

Choose the relationship symbol to make a true statement.

<

=

>

Answers

Answer:

MLEF

<

Step-by-step explanation:

I hope this helps...

Complete the statement. Round to the nearest hundredth if necessary.

3 km = m

Answers

Answer:

3km=3000m

Step-by-step explanation:

if 1 km=1000m,

3 km:     3 x 1000 = 3000m

hope this helps :)

PLEASE HELP ME
I don't know how to solve this, please give me a step by step explanation on how to solve this

Answers

#29

Find the value of x:

7x - 2 = 55 + 4x (as corresponding angles)7x - 4x = 55 + 33x = 57x = 19

Find the value of y:

y = 7x - 2 (as alternate exterior angles)y = 7*19 - 2 y = 131#30

Find the value of x:

14x - 34 = 9x + 1 (as alternate interior angles)14x - 9x = 1 + 345x = 35x = 7

Find the value of y:

y + (9x + 1) = 90 (as complementary angles)y = 90 - 9*7 - 1y = 26

Solve the system by substitution.
−5x+2y=14
y=3x+2

Answers

Answer:   x = 10; y = 32

Step-by-step explanation:

let   −5x+2y=14   be [1]

&        y=3x+2    be [2]  

Finding the value of x

By substituting y in [2] for y in [1]

⇒  −5x + 2(3x+2) = 14         [expand the bracket]

⇒     -5x + 6x + 4 = 14         [subract 4 from both sides and simplify]

⇒                       x = 10

Finding the value of y

Since x =10, we can substitute value of x into [2]

⇒     y = 3(10) + 2

⇒     y = 32

Write 640 g as a fraction of 4.8 kg. Give your answer in its simplest form,

Answers

Answer:

Step-by-step explanation:

640g=640g

4.8kg=4800g

640g/4800g=2/15

Find the x and y intercepts

Answers

Answer:

x:(-1,0),(5,0)

y:(0,-2)

Answer:

see explanation

Step-by-step explanation:

The x- intercepts are where the graph crosses the x- axis

The graph crosses the x- axis at x = - 1 and x = 5 ← x- intercepts

The y- intercept is where the graph crosses the y- axis

The graph crosses the y- axis at - 2 ← y- intercept

Need help ASAP points 50

Answers

Answer:

f(-2) = -28

Step-by-step explanation:

f(x) = 12x-4

Let x = -2

f(-2) = 12(-2) -4

Multiply

    = -24-4

Add

  = -28

Please help me solve this this math problem... I will mark you brainliest

Answers

Answer:

by congruency theorem <ACB= <DEB

so 5y-3=72

5y=72+3

5y=75

y=15⁰

Using the graph, determine the coordinates of the vertex of the parabola.​

Answers

Answer:

The coordinates of the vertex are

(-5;-9)

Answer:

(-5, -9)

Step-by-step explanation:

Use of the coordinate plane, center of the parabola 5 to the left and down 9.

Hope this helped!

Kate wants to buy a new bicycle from a sporting goods store. The bicycle she wants normally sells for $750. The store has a sale where all bicycles cost25of the regular price. What is the sale price of the bicycle?

Answers

Answer:

$187.50

Step-by-step explanation:

change 25% into a decimal: 0.25

the you will multiply:

0.25 × 750 = $187.50

4(x6+5)=2x+10 I'm not sure what the answer is can somebody help???

Answers

Answer:

[tex]4(6x + 5) = 2x + 10 \\ 4 \times 6x + 4 \times 5 = 2x + 10 \\ 24x + 20 = 2x + 10 \\ 24x - 2x = 10 - 20 \\ 22x = - 10 \\ x = \frac{ - 10}{22} = \frac{ - 5}{11} \\ thank \: you[/tex]

Answer:

-5 / 11 or -0.455

Step-by-step explanation:

this is a very simple question that does not need much complexity about it

we have

4( 6x + 5 ) = 2x + 10

first of all, we open the bracket;

24x + 20 = 2x + 10

now, we have to collect like terms;

24x - 2x = 10 - 20

22x = -10

divide through by 22 to give us!

22x / 22 = -10 / 22

x = -5 / 11

therefore,

x = - 5 / 11

hope that helps

thank you

HELPPPP PLEASEEEEEEE!!!!

Answers

is it multiple choice? if so then it’s 2 n 3

Answer:

Depends on the range of x

Step-by-step explanation:

Does that make sense to you

2a+4=3 what is the value of a???????

Answers

Hey there!

2a + 4 = 3

ADD 4 to BOTH SIDES

2a + 4 - 4 = 3 - 4

CANCEL out: 4 - 4 because that gives you 1

KEEP: 3 - 4 because it helps solve for the a-value

2a = 3 - 4

3 - 4 = -1

2a = -1

DIVIDE 2 to BOTH SIDES

2a/2 = -1/2

CANCEL out: 2/2 because it gives you 1

KEEP: -1/2 because it gives you the value of the a-value

a = -1/2

SIMPLIFY IT!

Therefore, your answer is: a = -1/2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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