Two balls are drawn without replacement from a box containing 2black and 3 red balls. What is the probability of drawing a black ball on the second draw? Draw a tree diagram

Answers

Answer 1

The probability that the second ball drawn is black is 4/10 = 2/5

How to find the probability?

There are two cases. The case where the first ball is red is the first one.

The probability of drawing a red ball is equal to the quotient between the number of red balls and the total number of balls.

p = 3/5

Then, the probability of drawing a black ball in the second attempt is computed in the same way, but because we already drew a ball, now the total number of balls is 4, so we have:

q = 2/4 = 1/2.

So the joint probability is:

P = (3/5)*(1/2) = 3/10.

Then we have the case where both balls are black, the probabilities now are:

p = 2/5

q = 1/4

So the joint probability is:

P = (2/5)*(1/4) = 1/10

The total probability is the sum of the two above:

probability = 3/10 + 1/10 = 4/10.

The probability that the second ball drawn is black is 4/10 = 2/5

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Related Questions

I NEED HELP ASAP!!!


Amalia and Alec are studying the growth of a plant over time. They measure the height of the plant at the end of each week for several weeks and display the data in a scatter plot. They then find the equation for the best-fit line to be y=2.5 + 1.25rMULTIPLE CHOICE Question 7 Amalia and Alec are studying the growth of a plant over time. They measure the height of the plant at the end of each week for several weeks and display the data in a scatter plot. They then find the equation for the best-fit line to be y= 2.5 + 1.25x

X = the number of weeks that have passed


= the height of the plant
They want to use the equation to estimate when the height of the plant will be 10
Amalia's estimate is after 6 weeks.
Alec's estimate is after Week 15.
Is either student correct?

Answers

Amalia would be correct. They are guessing when the height would be 10, and you are given an equation that will 'predict' that. Height is y, so substitute 10 in the equation and solve for x. You will get x=6

Yes, Amalia is correct. If y=height of plant and x=number of weeks that have passed then you plug in the numbers, we are looking for height of 10 so y=10 so 10=2.5+1.25(6) is the equation if we plug in Amalias guess of 6 weeks, if we plug in Alexs guess it would be same but use his guess 15 instead of 6. So to figure out of the equation is correct I’ll replace 10 for y so I can do it out y=2.5+1.25(6) now easily solve for y by doing 1.25x6=7.5 then I add 2.5+7.5=10, so I plug 10 back in for y and it looks like 10=10 so yes she is right. But I double check by also doing the second students guess, right away I multiply 1.25x15 and I get a number larger than 10, I think it was 18 something so I know that’s wrong without even having to finish it by adding 2.5 because then it’ll only get bigger but for fun you add it say it’s 20.5 then plug 10 back in for y 10=20.5 nope they aren’t equal so answer is not right. If you want to guess for any other height, just plug it in for the y and your guess for number of weeks for x and do out the equation (I used a calculator to multiply since they aren’t whole numbers it’s easier to do 1.25x6 or whatever number on calculator I can’t do it in my head) and then just add 2.5 either with calculator or not it’s easy enough to do it in your head. Hope that helps.

can you help me with this question

Answers

M to the second power is 36, as 6= m and 6x6 = 36, 36 - 17 = 19. Hope this helps!

Jessica works at a restaurant. She earns $5 an hour and received $100 in tips on Saturday night. If she earned $140 total, how many hours did she work?

Answers

$140 total - $100 tips = $40

$40 / $5 per hour = 8 hours

She worked 8 hours

The answer to your question is 8 hours :))

Los disminuyentes de liquido normal en ula persona sana es de 0.6mL/kg/hr. Sabiendo que don pedro cuenta con 39 grados de fiebre y pesa82 kg. Calcule la perdida de liquido/h

Answers

The question requires the computation of loss body fluid. The results show that Don Pedro's loss of body fluid per hour is 54,234ml/hours. See computation below.

What is the loss of body fluid?

This refer to the rate at which a human being loses water on the hour. The formula for this is given as:

The Body weight in lb x percentage rate of dehydration (given in decimal form) x 500.

Hence, Don Pedro's loss of fluid per house is:

82 x 0.6 x 500;

Recall that in the formula, the weight is given in lb. So we convert Pedro's weight to Lb.

1kg = 2.20462Lb

Hence

80kg = 80 * 2.20462 = 176.37

Hence

Pedro's loss of fluid per house =

180.779 x 0.6 x 500

= 54,233.70

≈ 54, 234 ml/h


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Can someone help me with this math problem?
see attached photo

Answers

By applying definitions of trigonometric reasons, Pythagorean theorem and a trigonometric expression, the value of the sin 2θ is equal to - (5/18) · √11.

How to determine the value of trigonometric reasons

In this question we must take into accounts the definitions of the trigonometric reasons sine and secant and the Pythagorean theorem as well.

If sec θ < 0 and csc θ > 0, then sin θ > 0 and cos θ < 0, the angle is in the second quadrant (0.5π < θ < π, x < 0, y > 0) and we have the following expression:

sec θ = r/x

[tex]\frac{r}{x}= -\frac{6\sqrt{11}}{11}[/tex]

Then x = - 11, r = 6√11 and the value of y is:

[tex]y = \sqrt{r^{2}-x^{2}}[/tex]

y = 5√11

By trigonometric expressions we have this formula for sin 2θ:

sin 2θ = 2 · sin θ · cos θ

sin 2θ = 2 · (y/r) · (x/r) = (2 · x · y)/r²

sin 2θ = [2 · (- 11) · (5√11)]/396

sin 2θ = - (5/18) · √11

By applying definitions of trigonometric reasons, Pythagorean theorem and a trigonometric expression, the value of the sin 2θ is equal to - (5/18) · √11.

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Choose the words to finish the sentence. Euler’s Formula states that the of the number of faces and the number of in a polyhedron is equivalent to two more than the number of its .

Answers

Answer:

see explanation

Step-by-step explanation:

Euler's formula states that the sum of the number of faces (F) and the number of vertices (V) of a polyhedra is equivalent to two more than the number of its edges (E) , that is

F + V = E + 2

Which of the following is equal to this expression?

(256·64)^1/4
A) 4·[tex]\sqrt[4]{4}[/tex]
B) 8·[tex]\sqrt[4]{4}[/tex]
C) 8·[tex]\sqrt[4]{2}[/tex]
D) 2·[tex]\sqrt[4]{2}[/tex]

Answers

Answer:

B) [tex]8\sqrt[4]{4}[/tex]

Step-by-step explanation:

[tex](2^{8} *2^{6} )^\frac{1}{4} = (2^{8+6} )^\frac{1}{4} =(2^{14} )^\frac{1}{4} =2^{\frac{7}{2} }=\sqrt{2^{7} } =2^{3} \sqrt{2} =8\sqrt{2} = 8\sqrt[4]{2^{2} } = 8\sqrt[4]{4}[/tex]


If £2000 is placed into a bank account that pays 3% compound interest per year
how much will be in the account after 2 years?

Answers

Original value = £2000 = 100%
Interest is 3%, so new percentage value is 100% + 3% = 103%
Change to decimal 103/100 = 1.03 (this is your multiplier)
For 2 years 1.03^2 So £2000 x 1.03^2 = £2121,8
Final answer= £2121,7

Answer:

£ 2121.8

Step-by-step explanation:

The formula to find the compound interest is :

[tex]A=P(1+\frac{R}{100} )^n[/tex]

Here,

A = Amount ⇒ ?

P ⇒ Principal ⇒ £2000

R ⇒ Interest rate ⇒ 3%

n ⇒ Time  ⇒ 2 years

Let us find now.

[tex]A=P(1+\frac{R}{100} )^n[/tex]

[tex]A=2000(1+\frac{3}{100} )^2[/tex]

[tex]A=2000(1+0.03 )^2[/tex]

[tex]A=2000(1.03 )^2[/tex]

[tex]A=2000*1.0609[/tex]

[tex]A=2121.8[/tex]

Therefore, there will be £ 2121.8 in the bank account after 2 years.

T=mv^2/L

Write an equation that shows the given formula solved for V

Answers

Answer:

v = √(LT/m)

Step-by-step explanation:

Given :

T = mv²/L

Multiply both sides with L :

T × L = mv²/L x LLT = mv²

Divide both sides by m :

LT × 1/m = mv² × 1/mLT/m = v²

Take the square root on each side :

√v² = √(LT/m)v = √(LT/m)

Answer:

[tex]v = \sqrt{ \frac{tl}{m} } [/tex]

Step-by-step explanation:

[tex]t = \frac{mv {}^{2} }{l} \\ making \: v \: the \: subject \\ t \times l = mv {}^{2} \\ dividing \: bothsides \: by \: m \\ \frac{tl}{m} = \frac{mv {}^{2} }{m} \\ v {}^{2} = \frac{tl}{m} \\ finally \\ v = \sqrt{ \frac{tl}{m} } [/tex]

solve for b

−9b)+b=2b−(b+1)

Answers

Answer:

[tex]b = \frac{1}{9}[/tex]

Step-by-step explanation:

-9b + b = 2b - (b + 1)

Let's simplify by taking out the parenthesis.

-9b + b = 2b - b - 1

Now, we add like terms.

-8b = b - 1

Now, let's subtract b from both sides of the equal sign in order to isolate b.

-8b - b = b - 1 - b

Simplify!  

-9b = -1

Divide both sides by -9.

-9b ÷ b = -1 ÷ -9

Simplify.

[tex]b = \frac{1}{9}[/tex]

Answer:

[tex]b = \frac{1}{9} [/tex]

Step-by-step explanation:

[tex] - 9b + b = 2b - (b + 1) [/tex]

Solve the brackets.

[tex] - 9b + b = 2b - b - 1[/tex]

Combine like terms.

[tex] - 8b = b - 1[/tex]

Take b to the left side.

[tex] - 8b - b = - 1[/tex]

Combine like terms.

[tex] - 9b = - 1[/tex]

Divide both sides by -9.

[tex] \frac{ - 9b}{ - 9} = \frac{ - 1}{ - 9} \\ b = \frac{1}{9} [/tex]

PLEASE HELP

State the coefficient of the variable and the exponent on the variable for this expression: x/5 (this is supposed to be vertical but I don't know how to do that)

Answers

For the given relation, the coefficient is (1/5) and the exponent is 1.

Which are the coefficient and the exponent of the variable?

For a relation of the form:

[tex]y = a*x^n[/tex]

a is the coefficient and n is the exponent.

In this case, we have:

[tex]y = \frac{x}{5}[/tex]

This can be rewritten to:

[tex]y = \frac{1}{5}*x^1[/tex]

So we can see that the coefficient is (1/5), and the exponent is 1.

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Which of the following is an even function?
Of(x) = (x - 1)²
Of(x) = 8x
Of(x)=x²-x
Of(x) = 7
COFFE
Sinte echinat
SUMPARNI

Answers

Answer:

Step-by-step explanation:

Find the number of students that play

A basketball and football but not volleyball
B basketball only
C none
#15 play
basketball and volleybal

Answers

Answer:

#16 play basketball and football

Halp me
Me too dum to know pls halp

Answers

Answer:

Coordinate pair for Friday (3, 55). This means the length of the eruption was 3 minutes, and the wait time between the eruptions was 55 minutes.

Paulo and Jason wear smaller shoe sizes than Carmen.

Jason and Carmen scored more runs than Paulo.

Step-by-step explanation:

Paulo wears size 5 and Jason wears size 4. Carmen wears size 10, therefore the players wear smaller shoe sizes than he does

Jason scored 10 runs, and Carmen scored 11. Since Paulo only scored 5 runs, the other players scored more than him

HELP!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D is the answer hope

Step-by-step explanation:

hope this helped

A jet travels 590 miles in 5 hours; how far can it travel in 11 hours. With an explanation.

Answers

first divide 590 by 5 which equals 118
then take 118 and multiply by 11 which equals 1298 miles. the jet will be able to travel 1298 miles in 11 hours

Answer:

1298 mi

Step-by-step explanation:

In 5 hours, a jet would travel 5 times the distance that it would if it were to travel for one hour. This means that 590 is five times the distance of one hour. So, 590 divided by 5 is 118, so the jet travels 118 miles in one hour(this is basically the speed).

We can do the reverse to find how far it can travel in 11 hours given the jet travels 118 miles an hour. Using the same logic, the jet would travel 118 in each of the 11 hours, which is 118 x 11: 1298 mi.

Use the formula Area = (side)2 to find the area of the square.
3.
2.
1.
7m
5 yd
8 cm

Answers

Answer:

1. 5² is 25 yards

2. 7² is 49m

3. 8² is 64cm

4.draw a square, make one side 6 feet then do 6² which is 36feet

5. do the same thing then write 10 inches on one side and 10² is 100 inches.

6. 7x3= 21 ft

7. 5x4= 20 in.

8. 2x8= 16 yd

Step-by-step explanation:

common sense

1. 25 yard2
2. 49 yard2
3. 64 yard2

How many 5-digit numbers are there, that are "even"? Show all work/ calculations.

Answers

Answer: The correct answer is 13776.

Explanation: There are 3024 five-digit numbers that begin with the digit 4 with no repetition.

Please help me! Thanks.

Answers

Answer: Answer:

The perimeter of the polygon are

PQ = 5

RS = 5

PR = √74 = 8.60

QS = √74 = 8.60

QR = 7

Step-by-step explanation:

To calculate the perimeter of a polygon, polygon is like a coordinate with points, to find the length, we use this formula

d = √(x _2 - x_1)^2 + (y_2 - y_1)^2

Let's start from the first two vertices P ( 0 , 4) and Q(5 , 4)

x_1 = 0

y_1 = 4

x_2 = 5

y_2 = 4

PQ = √ ( 5 - 0)^2 + ( 4 - 4)^2

= √ 5^2 + 0^2

= √ 25

= 5

Between R( 5 , -3) and S ( 0 , -3)

x_1 = 5

y_1 = -3

x_2 = 0

y_2 = -3

RS = √ ( 0 - 5)^2 + ( -3 - (-3))^2

= √( -5)^2 + ( -3 + 3)^2

= √ 25 + 0

= √ 25

= 5

Between P( 0 , 4) and R (5 , -3)

x_1 = 0

y_1 = 4

x_2 = 5

y_2 = -3

PR = √( 5 - 0)^2 + ( -3 - 4)^2

= √ 5^2 + (-7)^2

= √ 25 + 49

= √ 74

= 8.60

Between Q ( 5 , 4) and S(0 ,-3)

x_1 = 5

y_1 = 4

x_2 = 0

y_2 = -3

QS = √ ( 0 - 5)^2 + ( -3 - 4)^2

= √ -5^2 + -7^2

= √ 25 + 49

= √ 74

= 8.60

Between Q( 5,4) and R(5 , -3)

x_1 = 5

y_1 = 4

x_2 = 5

y_2 = -3

QR = √ (5 - 5)^2 + ( -3 - 4)^2

= √ 0^2 + (-7)^2

= √ 0 + 49

= √ 49

= 7

Step-by-step explanation:

The part of the circle from point A to point B in the diagram represents 1/4 of the way around the circle.

What is the measure of the angle formed by line segment OA and line segment OB?

Answers

Answer:

90

Step-by-step explanation:

Since the sum of a circle is 360, just divide 360 and 1/4.

Simplyfy 56 64 I want to simplify

Answers

Answer:

56/64 simplified is 0.875 or 7/8 as a fraction

name the marked angle two different ways

Answers

tbh I have no Idea ask your mother

Help, and if you can give me a step by step explanation

Answers

Answer:

the first option

Step-by-step explanation:

variability !

what does that word tell us ?

it means that there are more individuals differences.

you could also use "accuracy" as the opposite - we are aiming for the mean value ...

imagine some bow and arrow tournament.

who wins ?

the person with the highest accuracy across all the attempts (and that means the lowest variability in the results across all attempts relatively to the target center representing the predefined mean value).

now look at the graphic for neighborhood A.

and then for neighborhood B.

which one has the data points more clustered around the center (where the mean value is going to be) ? this one has lower variability than the one where the data points are having more than one cluster or are even all over the place.

remember, for the variability you have to add all the differences to the mean value. the smaller the differences to the mean value, the smaller the variability.

in neighborhood B almost all data points have a larger difference to the mean value.

so, the variability will be higher here.

A campaign manager created a survey to see if the candidate could be elected into office. The survey randomly chose 1832 voters and asked them whom they would vote for. Of those surveyed, 953 people responded that they would vote for the candidate. Because there are
87,403 voters in the area, the results mean that 45,466 people would vote for this candidate.
Identify a problem with the study.

Answers

The problem with the study is that Some of the sample data are missing.

What a survey?

A survey is a study that aims at obtaining the responses of people based on a questionnaire. The subjects are selected at random in such a way that the sample is representative of the population.

In this study, the problem with the study is that Some of the sample data are missing.

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Answer: D) The results is a precise number

(PLEASE SOMEONE HELP BRO). Use the drop-down to complete the following inequality. 

Answers

Answer:

<

Step-by-step explanation:

negative + positive = positive - positive

positive - negative = positive + positive

a = positive b = negative

a+b < a-b

Answer:

<

a + b is smaller than a - b as b is in the realm of negative numbers.

What key features do the functions f(x) = 4-x and g of x equals negative one times the square root of the x minus 4 end root have in common?

A.)Both f(x) and g(x) include domain values of [–4, ∞) and range values of (–∞, ∞), and both functions have an x-intercept in common.

B.)Both f(x) and g(x) include domain values of [4, ∞), and both functions decrease over the interval (4, ∞).

C.) Both f(x) and g(x) include domain values of [4, ∞) and range values of [0, ∞), and both functions have a y-intercept in common.

D.) Both f(x) and g(x) include domain values of [–4, ∞) and range values of (–∞, ∞), and both functions are negative for the entire domain.

Answers

The key features are (1) both f(x) and g(x) include domain values of [–4, ∞) and range values of (–∞, ∞), and both functions have an x-intercept in common.

How to determine the key features

The functions are given as:

f(x) = 4 - x

[tex]g(x) = -\sqrt{x - 4}[/tex]

Using a graphing calculator:

The domain of g(x) is [4,∞)The range of g(x) is (-∞,0]The domain of f(x) is (-∞,∞) The range of f(x) is (-∞,∞) Both functions have positive values for their domains

By comparing the above highlights, the true statement between functions g(x) and f(x) is option (1)

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Answer:

B.)Both f(x) and g(x) include domain values of [4, ∞), and both functions decrease over the interval (4, ∞).

Step-by-step explanation:

b is correct

Houa bought 11 chicken wings for $23.10 . How much does each wing cost

Answers

Answer:

Answer = $2.10

Step-by-step explanation:

To solve this we take the total cost divided by the total number of chicken wings to get $2.10.

Hope that helps! :)

Answer:

1 wing = $2.10

Step-by-step explanation:

11 wings = $23.10

Let 1 wing = x

11x = 23.10

To solve for x, we divide both sides by 11 :

11x÷ 11 = 23.10 ÷11

x = 2.1

So 1 wing = $2.10

Hope this helped and brainliest please

What type of quadrilateral is shown below? What do the symbols on the sides of this quadrilateral tell you? A quadrilateral with one pair of congruent sides.

Answers

The type of quadrilateral shown is called A kite. The symbols on the sides tell us that two pairs of adjacent sides are equal.

How to Identify a Quadrilateral?

A quadrilateral is defined as a closed shape and a type of polygon that has four sides, four vertices and four angles.

Now, from the attached quadrilateral shown, we can say that it is called a Kite. This is because a kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.

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X =
(19) Find the values for X and Y, and then solve for the side lengths.

Answers

Lx is the Valentine’s Day gird

please please help me I'll give whaever​

Answers

answer:

1769.344983 or 1769.34 (depends on what you’re rounding to)

explanation:

- the equation for a cylinder‘s surface area is: (2 π r h)+(2 π r^2)

so 2 just means x2

π is just pi

r is your radius and for this equation your radius is 8 cm

and h is your height so for this equation your height is 27.2 cm

- so the equation filled in is:

(2 x π x 8 x 27.2) + (2 x π8^2) = 1769.344983 or 1769.34

(2 x π x 8 x 27.2) = 1367.221123

(2 x π8^2) = 402.1238597

1367.221123 + 402.1238597 = 1769.344983

hope this helps :)

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