A box contains 5 red marbles, 8 green marbles, 4 blue marbles, and 3 yellow marbles. if 2 marbles are randomly selected without replacement, what is the probability that a red marble is selected and then a green marble is selected?

Answers

Answer 1
The Total number of Marbles contained in the Box is as follows: 5 (Red) + 8 (green) + 4 (blue) + 3(yellow) = 20 Marbles The Probability of selecting the first Marble (Red) is 5/20 Then 19 Marbles will be left. The probability of selecting the second Marble green is 8/19 Since the first marble was not replaced then the probability of selecting a red marble and then a green marble is = 5/20 * 8/19 = 2/19.
Answer 2
Final answer:

The probability of drawing a red marble first and a green marble second (without replacement) from a box containing 5 red, 8 green, 4 blue, and 3 yellow marbles is 2/19.

Explanation:

In the scenario you've described, you would first calculate the probability of selecting a red marble from the box. You have 5 red marbles and a total of 20 marbles (5+8+4+3), so the probability of drawing a red marble first is 5 out of 20, or 1/4.

When you draw a second marble without replacing the first, you have a slightly altered situation - the total number of marbles in the box now comes down to 19. We are interested in the probability of drawing a green marble now. As there are 8 green marbles, probability of drawing a green marble is 8 out of 19, or 8/19.

Probability of a red marble being picked first and then a green marble without replacement is calculated as: P(Red and then Green) = P(Red) * P(Green | Red is already picked). This equals 1/4 * 8/19 = 8/76 = 2/19.

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Related Questions

What units would you use to describe the volume of a box measured in inches?

Answers

cubic inch or inch^3

cubic inches or inches³ would we use to describe the volume of a box measured in inches.

What is Unit of Measurement?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law

Volume is the measure of the 3-dimensional space occupied by matter, or enclosed by a surface, measured in cubic units.

As volume we measure by using three dimensions so the unit will be in cubics.

If we have to measure volume of box in inches then it will be cubic inches or inches³.

Hence cubic inches or inches³ units would we use to describe the volume of a box measured in inches.

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A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?

Answers

Given that, a bike wheel is 26 inches in diameter.

We need to convert bike wheel's diameter in millimeters .

Since, 1 inch = 25.4 millimeters.

So, to convert 26 into mm we need to multiply 26 each sides of this identity to convert this into mm. Hence,

1*26 inch = 25.4 * 26 mm.

So, 26 inches = 660.4 mm.

So, the bike wheel's diameter is 660.4 millimeters.

Hope this helps you!

The bike wheel's diameter of 26 inches is equivalent to 660.4 millimeters.

To convert a bike wheel's diameter from inches to millimeters,

we have to use the conversion factor, which is,

1 inch = 25.4 millimeters.

Now multiplying the diameter of the bike wheel,

which is given as 26 inches,

by the conversion factor of 25.4 millimeters per inch.

⇒ 26 inches x 25.4 millimeters per inch = 660.4 millimeters

Therefore, the diameter of the bike wheel in millimeters is 660.4 millimeters.

Therefore, we can convert inches to millimeters by multiplying by 25.4, which is the number of millimeters in one inch.

In this case, the bike wheel's diameter of 26 inches is equivalent to 660.4 millimeters.

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Suppose you flip a coint and roll a 10-sided die. what is the probability of flipping tails and rolling a 7?

Answers

The probability of flipping a tail is 1/2.
The probability of rolling a 7 is 1/10

The two events are independent. Therefore the probability of flipping a tail and rolling a 7 is
(1/2)*(1/10) = 1/20

Answer: 1/20

the graph of the equation y=2x+b passes through the point (b, -3). Find b. PLZ SHOW WORK!

Answers

Substitute in the points. It doesn't matter if they ar pe variables or not, since the variable b is used already in the equation, making it possible to find.

Substitute in the y value for the y in the equation and do the same for the x.

-3=2b+b
-3=3b
-1=b

b is -1.

Hope this helps!
Your fortune is "Stop procrastinating - starting tomorrow."

Alex and Freddy collect stamps. The number of stamps in Alex’s collection is in ratio 3:5 to the number of stamps in Freddy’s collection. If Freddy gives Alex 10 stamps, the ratio will change to 7:9. How many stamps are in both collections together?

Answers

suppose Alex has 3x stamps, Freddy has 5x stamps. After Freddy gives Alex 10 stamps, Alex has 3x+10 while Freddy has 5x-10
the new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9
9(3x+10)=7(5x-10)
27x+90=35x-70
160=8x
x=20
So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have 160

Answer:

160 stamps

Step-by-step explanation:

Suppose Alex has 3x stamps, Freddy has 5x stamps. After Freddy gives Alex 10 stamps, Alex has 3x+10 while Freddy has 5x-10

The new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9

9(3x+10)=7(5x-10)

27x+90=35x-70

160=8x

x=20

So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have

If log3⁡⁡(4y−1)=log3⁡⁡(2y+7), what is the value of y?

Enter your answer as a number, rounded to one decimal place, if necessary, like this: 42.5

Answers

Knowing that there are two logs on both sides of the brackets, they cancel out. 
This leaves: 

4y-1=2y+7 (solve for y) 
4y-2y=7-1
2y=6
y=3 

Hope this helped :) 

A secant and a tangent meet at a 90 degree angle outside the circle. What must be the difference between the measures of the intercepted arcs?
45 degrees
90 degrees
180 degrees
270 degrees

Answers

Answer:

180

Step-by-step explanation:

hope this helps you

Answer:

180 90plus90

Step-by-step explanation:

Cheryl wants to purchase a par value $500 bond from Agram Imports. Agram imports bonds have a market rate of 102.114 and offer 8.1% interest. If Cheryl’s broker charges a commission of 2.5% of the market value of each bond sold, what is the current yield on Cheryl’s bond?

A. 0.077
B. 0.078
C. 0.081
D. 0.040

Answers

According to my study,  current yield is calculated by using the formula Interest or dividends divided by the current price of the security or simple the current price. So the current price in this given question is 102.114 and the interest is 8.1%, we will simply divide the two; 8.1 / 102.114 = 0.07732310947 or approximately .077. The answer is A.

Answer:

the answer is A. my friends


Will give brainliest to person who answers first. Much appreciated

1. The physical components of computers that carry out the basic operations are:
A: software
B:hardware
C:firmware
D:vaporware

2. The piece of computer hardware that manipulates a machines memory in order to create images rapidly is the:
A:cpu
B:gpu
C:rom
D:ram

3. Pong is the first real video/ computer game
A: true
B: false

4. The magnavox odyssey was a commercial success
A:true
B: false



Answers

1. is B.hardware
2. is B. Gpu
3. false I am almost certain there was a version of a pong styled game manipulating roughly the sane code first.
4.false it was not considered a commercial success
1:a
2:c
3:b
4:a
I think these are right i might be wrong

A function is created to represent amount of money spent on lunch if you spent five dollars a day. What restrictions would be made to the range?
A. The range would only include integers
B. The range would only include negative integers
C. the range would only include positive integers
D. the range would include allreal number

Answers

D. the range would include all real numbers.

HELP ASAP ALGEBRA 2 QUESTION PLEASE!!!



Consider the function f(x)=1/3 x+4.
Find the inverse of f(x) and name it g(x) . Show and explain your work.
Use function composition to show that and are inverses of each other.
Draw the graphs of f(x) and g(x) on the same coordinate plane. Explain how your graph shows that the functions are inverses of each other.

Answers

a)
f(x) is the same as y
y=1/3 x +4

to find inverse, swap and x and y:
x=1/3 y + 4
x-4= 1/3 y
(x-4) x 3 = y
3x -12= y
                       the inverse(g(x)), is: 3x-12

b) if f(x) and g(x) are inverses of each other, than  (f о g)(x) will end up with just "x"

(f о g)(x)=x
(f о g)(x)= f(g(x))
(f о g)(x)= f(3x-12)
(f о g)(x)= 1/3(3x-12)+4
(f о g)(x)= (3x-12)/3  +4
(f о g)(x)= x-4+4
(f о g)(x)= x

c)
You will find that the graphs are mirror images of each other
the graph for f(x) is an oblique line that passes through the points(-12,4)
the graph for g(x) is an oblique line that passes through the points(4,-12)

if √a/√b=x, which statement must be true? A. x^2=a/b B. √x=a/b C. |x|=a/b D. x=a/b

Answers

Answer:

x^2 = a/b

Step-by-step explanation:

[tex]\frac{\sqrt{a}}{\sqrt{b} } =x[/tex]

If we have square root at the top and bottom then we take single square root with fraction inside

[tex]\sqrt{\frac{a}{b}} =x[/tex]

To remove square root we take square on both sides because square and square root will get cancelled

[tex]\frac{a}{b}=x^2[/tex]

x^2 = a/b is true

The statement that must be true is:

[tex]x^2 = a/b[/tex]

How to find an equivalent expression?

To find an equivalent expression, we just need to rewrite the given expression.

Here we will use the fact that the square root is distributive with respect to the division, which means that we can rewrite:

[tex]\frac{\sqrt{a} }{\sqrt{b} } = x\\\\\sqrt{\frac{a}{b} } = x[/tex]

Now if we square both sides of that expression, we will get:

[tex]\sqrt{\frac{a}{b} }^2 = x^2\\\\\frac{a}{b} = x^2[/tex]

So we can see that the correct option is A.

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Kelly wants to know the actual value of a house that she wants to buy. What should she do?

Answers

Kelly should ask the realtor.

for plato the answer is, c. get a real-estate appraisal

posting this for future users!

A candle is 7 in. tall after burning for 1 h. The same candle is in. tall after burning for 4 h. How tall will the candle be after burning for 6 h?

Answers

After burning 6 hours the candle will be 4 1/2 in. tall.

An angel is 5 times its supplement find the measure of bith angels

Answers

now, supplementary angles sum up to 180°.

so hmmm say one has a measure of a°, and her sibling is 5 times larger, or 5 times that much, or 5a°, we know that both will sum up to 180°, thus

[tex]\bf a+5a=180\implies 6a=180\implies a=\cfrac{180}{6}\implies a=30[/tex]

so, the smaller is that much, and her sibling is 5a, and you know how much that is, unless you mean angels, and  hmmmm both have wings and feathers and are wearing a gown, but doubt that's the case.

1.45833 as a fraction

Answers

1 46/100
simplify
1 23/50

A jar contains 3 red, 5 green, 2 blue and 6 yellow marbles. a marble is chosen at random from the jar. after replacing it, a second marble is chosen. what is the probability of choosing a green and then a yellow marble

Answers

Add the numbers up (leads to 16) and then make it a fraction so out the number of green over 16 leaving you with the fraction answer of 5/16

What conclusions can be made about the series ∞ 6 cos(πn) n n = 1 and the integral test?

Answers

Depending on how the function is set up, i presume that it is a sum (epsilon) function that is being referred to. Depending on if the function is increasing or decreasing on the interval (infinity to 6??), will determine if the function is convergent or not. When 1 is plugged into cos([tex] (\pi n)n[/tex] it is positive and therefor converging. 

order from greatest to least : 0.12 with bar over 2, 0.1225, 3/25, 7/125

Answers

convert each to  decimal form
 that will be 0.122... , 0.1225, 0.12 and 0.056

so from greatest to least that is  0.1225 , 0.1222...., 0.12, 0.056

that is 0.1225 , 012(with bar over the 2) , 3/25 , 7/125

Find the total amount after 2 years of an investment of $1500 in an account paying 4% interest, compounded quarterly.

A=P(1+r/n)nt                  ( '' nt '' are exponents )
Question 1 options:

$1622.40


$1624.29


$1560


$1620


Answers

The formula is
A=P(1+r/n)^nt
A future value?
P present value 1500
R interest rate 0.04
N compounded quarterly 4
T time 2 years
A=1,500×(1+0.04÷4)^(4×2)
A=1,624.29

So the answer is B
Hope it helps!

Which linear inequality is represented by the graph?

A) y > 2/3x - 2

B) y < 2/3x + 2

C) y > 2/3x + 1

D) y < 2/3x - 1

I NEED THE ANSWER ASAP ‼️

Answers

D) y < 2/3x - 1 is the answer you are looking for this is because the negative one if your y intercept and the 2/3 is your slope this makes the line and the sign draws the shading down with a dotted line.

Answer:

y <  [tex]\frac{2}{3}[/tex]x -1 .

Step-by-step explanation:

Given : Graph.

To find : Which linear inequality is represented by the graph.

Solution : We have given graph with shaded down .

We know that if the graph is shaded down then equation of inequality has less than sign.

On comparing with line slope form y = mx +b.

Where m = slope  and b = y intercept ( where the graph line cut at y axis)

Then b = -1  and slope  = [tex]\frac{2}{3}[/tex].

Then equation become

y <  [tex]\frac{2}{3}[/tex]x -1 .

Therefore, y <  [tex]\frac{2}{3}[/tex]x -1 .

Write the expressions as a difference and simplify it: 17x−13y+8 and 20x+6y.

Answers

Final answer:

The two expressions 17x−13y+8 and 20x+6y can be rewritten as a difference to be -3x - 19y + 8.

Explanation:

To rewrite the two expressions 17x−13y+8 and 20x+6y as a difference, you can first list them separately and then combine by subtraction.

17x - 13y + 8

and

20x + 6y

. The difference between these two expressions is obtained by performing the subtraction as follows: (17x - 13y + 8) - (20x + 6y). Now, you can simplify this by removing the parentheses and switching the sign of the terms being subtracted, which results in:

17x - 13y + 8 - 20x - 6y

. Finally, you combine like terms, x-terms with x-terms and y-terms with y-terms, ending up with:

-3x - 19y + 8

which is the simplified difference of the two expressions.

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Kyra multiplied 0.27 by a power of ten and got 2.7. What power of ten did she multiply by?

Answers

She multiplied .27*10 to get 2.7, or the first power of ten
one. the decimal only moved one place

Is 14/25 bigger than 0.75

Answers

No. 14 divided by 25 is 0.56
It's not right if you line them up

Which of the sums below can be expressed as 6(3 + 9)? (3 points)

18 + 54

18 + 9

9 + 15

6 + 54

Answers

This could be answered by using the distributive property.

This is an algebra property which is done to multiply a particular term and two or more terms in a set of parentheses.

So for our problem, 6 (3 + 9):

You first, multiply 6 x 3 = 18

And multiply 6 x 9 = 56

Thus, the answer is 18 + 56 = 72

But following the order of operations, you should add first the number inside the parenthesis and then multiply it to the number outside the parenthesis but it will the same answer still. (6 x 12 = 72)

Answer:

18 + 54

Step-by-step explanation:

Take 6 x 3 = 18

6 x 9 = 54

Answer is 18+54

to check answer 18 + 54 = 72

6(3+9)

6(12)= 72  

Which statements are true? Choose all answers that are correct. A. All quadrilaterals can be classified as either parallelograms or trapezoids. B. All rhombuses are parallelograms. C. Some trapezoids are parallelograms. D. Some parallelograms are squares.

Answers

Statements 'A', 'B', and 'C' are true.

Answer:

A, B and C

Step-by-step explanation:

State the slope of the line shown below.


0
1
–2
undefined

Answers

The slope would be 0 because the line does not intersect the x - axis.

Answer: 0

Step-by-step explanation:

From then given graph , it can be seen that the line is parallel to x axis passing through [tex]y=-2[/tex].

We know that if two lines are paralleled then they have equal slope.

We know that the slope of x-axis is 0.

[∵[tex]\text{Slope=}\dfrac{\text{Change in y coordinates}}{\text{Change in x coordinates}}=\dfrac{0}{\text{Chnage in x coordinates}}=0[/tex]]

Hence, the slope of the given line =0

-2log5 7x=2

the 5 is small please help me

Answers

-2log_5 7x = log_5 2

log_5[1/(7x)^2] = log_5 2

log_5(1/49x^2) = log_5 2

log_5(1 - 49x^2) = log_5 2

1 - 49x^2 = 2

You finish.

Solve for x. 23=79(6x−36)+9 Enter your answer in the box.

Answers

The value of the equation 1429/237.

Let's solve for x in the given equation:

[tex]\[23 = 79(6x - 36) + 9\][/tex]

First, distribute the 79 on the right side:

[tex]\[23 = 474x - 2844 + 9\][/tex]

Combine like terms:

[tex]\[23 = 474x - 2835\][/tex]

Now, isolate the term with x by adding 2835 to both sides:

[tex]\[474x = 2858\][/tex]

Finally, divide both sides by 474 to solve for x:

[tex]\[x = \frac{2858}{474}\][/tex]

Now, you can simplify the fraction:

[tex]\[x = \frac{1429}{237}\][/tex]

So, the solution for x is [tex]\(x = \frac{1429}{237}\).[/tex]

Final answer:

To solve the equation, distribute the 79 on the right side, combine like terms, and then isolate and solve for x to get x = 6.05.

Explanation:

To solve the equation 23=79(6x−36)+9, we first expand the right side of the equation and then isolate the term with x on one side.

First, distribute the 79:

23 = 79(6x) - 79(36) + 9,

which simplifies to:

23 = 474x - 2844 + 9.

Combine like terms:

23 = 474x - 2835.

Now, add 2835 to both sides to isolate the term with x:

2868 = 474x.

Finally, divide both sides by 474 to solve for x:

x = 2868 / 474.

After performing the division, we find that x = 6.05.

Use the right-hand rule to estimate the area under the graph of y = x2 + 2 for values of x from 0 to 3.

Answers

The answer to your specific question is [tex]\approx15.5[/tex].
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