A bag contains 8 red balls and 3 white balls. Two balls are drawn without replacement. (Enter your probabilities as fractions.) (a) What is the probability that the second ball is white, given that the first ball is red

Answers

Answer 1

Answer:

12/55

Step-by-step explanation:

Probability is the ratio of the number of possible outcomes to the number of total outcomes.

Given that the bag contains 8 red balls and 3 white balls, the probability of picking a red ball

p(r) = 8/(8+3) = 8/11

Probability of picking a white ball

= 3/11

when a red ball is picked first, the total number of balls reduces to 10 hence the probability that the second ball is white, given that the first ball is red

=8/11 * 3/10

= 24/110

= 12/55


Related Questions

3] What is - 2y + 10 + 2y - 8 simplified?
a) – 4y + 18
C) 18
b) 4y + 2
d) 2
Expressions

Answers

Answer:

d. 2

Step-by-step explanation:

-2y +10+2y-8

10-8. ( -2y+2y = 0)

2

Answer:

d) 2

Step-by-step explanation:

We can first combine like terms

-2y + 2y = 0

Now, our expression is simply 10 - 8, which is 2

So, the answer is

d) 2

If $3000 grows to $3540 after 3 yr, find the simple interest rate

Answers

Answer:

R = 6%

Step-by-step explanation:

We know that

SI = A - P

SI = 3540 - 3000

SI = $540

R = 100 × SI/P × T

R = 100 × 540/3000 × 3

R = 54/9

R = 6%

S O L U T I O N:

Here we've been provided with the information i.e

Amount (A) = 3540

Principal amount (P) = 3000

Time period (T) = 3 years

And we are asked to calculate simple interest rate (R) = ?

The standard formula to calculate is given by,

[tex]:\Rrightarrow\sf{S.I. = A - P}[/tex]

[tex]:\Rrightarrow\sf{S.I. =3540 - 3000}[/tex]

[tex]:\Rrightarrow\sf{S.I. =540}[/tex]

[tex]:\Rrightarrow\sf{R = 100 \times \frac{S.I.}{P} \times t}[/tex]

[tex]:\Rrightarrow\sf{R = 100 \times \frac{540}{3000} \times 3}[/tex]

[tex]:\Rrightarrow\sf{R = \frac{54}{9} }[/tex]

[tex]:\Rrightarrow\sf{R = 6\%}[/tex]

The simple interest is 6%.

(b) A sum of money was to be shared among three friends Keisha, Tracey, and Kerry-Ann, in the
ratio 7:9:11 respectively. If Kerry-Ann received $3,300.00, find the sum of money that was
between the three friends.

Answers

The sum of money that was  shared between the three friends is $8100

The ratio at which the money was shared = 7 : 9 : 11

Total ratio  = 7 + 9 + 11

Total ratio = 27

Amount received by Kerry-Ann = $3300

Let the total amount shared by the three friends be T

Amount received by Kerry-Ann = (11/27)  x  T

3300  =  11T / 27

11T  =  27(3300)

11T  =  89100

T   =  89100/11

T  =  8100

The sum of money that was  shared between the three friends is $8100

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4x+4 =
What is the answer to this please help

Answers

Answer:4(x+1)

Step-by-step explanation:

4x+1


How is the series 9 + 13+ 17+ ... + 149 represented in summation notation?

Answers

Notice that

13 - 9 = 4

17 - 13 = 4

so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :

149 = 9 + 4k

140 = 4k

k = 140/4

k = 35

This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.

Put another way, we have

[tex]\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=0}^{35} (9 + 4k)[/tex]

but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.

[tex]\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k-1=0}^{35+1} (9 + 4(k-1))[/tex]

[tex]\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=1}^{36} (5 + 4k)[/tex]

What is the end behavior of the function f(x)=−3/4x^2?

Answers

Answer:

[tex]f(x)\longrightarrow-\infty[/tex], as [tex]x\longrightarrow+\infty[/tex]

Step-by-step explanation:

We can see that the larger the input, the smaller the output

Does a quadratic polynomial have a degree of to

Answers

Answer:

Idioet duh it does.

Step-by-step explanation:

What is the equation for the line in slope-intercept form? 20 18+ Enter your answer in the box. 16+ 14+ 112+ NO+ 6 4 2 - 20-18 -16-14-12-10 -9 -6 -4 4 6 8 -20 -27 10 12 14 16 18 20 -4- -B -8 -10 -12+ -14H -16+ -18+ -20+​

Answers

The slope of the line represents that the remainder of the goal decrease by 8 for each card sold.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

The line passes through the point (1, 8) and (2, 16), hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-8=\frac{16-8}{2-1}(x-1)\\\\y=8x[/tex]

The equation of the line is given by y =8x

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The diagonal of a rectangle big-screen TV screen measures 152cm. The length measures 132cm. What is the height if the screen?​

Answers

Answer:

75.36cm

Step-by-step explanation:

We use the pithagorean theorem: height^2 = 152^2 - 132^2 = 5680;

height = [tex]\sqrt{5680} = 75..36 cm[/tex]

The value of the digit 2 in 425.3 is *

Answers

Answer:

20 which is twenty

Step-by-step explanation:

searched it up on chrome

Define
Rough calculating​

Answers

Answer:

A rough calculation or guess is approximately correct, but not exact. roughly adverb.

Step-by-step explanation:

Can someone help me with both questions I will mark u brilliant

Answers

1. First, he will be climbing 10,000 feet from where he is right now. 10,000 / 1,000 = 10.

-3.6 x 10 = 36 degree decrease.

25 - 36 = -11

At 12,000 feet, the temperature will be -11.

2.  First, we need to do 8.80 x 7 = 61.6

61.6 / 4 = 15.4

61.6 - 15.4 = 46.2

He has $26.20 left.

Hope this helps!

Find the length of the third side of the right triangle.
The length of the third side is ____
(Simplify your answer. Type an exact answer, using radicals as needed.)

Answers

Answer:

15

Step-by-step explanation:

17 squared minus 8 squared it is the pythagorean theorem but backwards. c squared minus b squared equals a squared. in this case a is b. 17 times 17 is 289 and then subtract 8 squared or 64 to get 225. then we need to find the squared root of 225 which is 15 and this is the answer

juan saves 12 the first week of the year. he increase the amount each week by 4, write a function that represent the sequence

Answers

Answer:

12,16,20,24,28,32,36,40 (continue to add 4)

Step-by-step explanation:

A function that represents the given sequence is f(n) = 4(2+n).

What is an arithmetic sequence?

A sequence in which the difference between any two consecutive terms is the same is known as an arithmetic sequence.

Given that, Juan saves 12 in the first week of the year, and increases the amount each week by 4, therefore, the difference between the amount of any two consecutive weeks is 4.

Hence, it represents an arithmetic sequence with the first term a₁ = 12 and the common difference d = 4.

The nth term of an arithmetic sequence is given by:

aₙ = a₁ + (n-1)d

Substitute a₁ = 12 sand d = 4 into the above equation:

aₙ = 12 + (n-1)4

   = 12 +4n -4

   = 8 + 4n

   = 4(2+n)

Hence, a function that represents the given sequence is f(n) = 4(2+n).

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#SPJ2

A= 1/2bh
solve for b

Answers

Ok done. Thank to me :>

Answer:

A = bh ( multiply both sides by 2 to clear the fraction )

2A = bh ( divide both sides by h )

b=2A/H

Step-by-step explanation:

Write the equation to the line parallel to y= 3x – 5 that goes through the point (-2, -7) using any form.

Thank you!

Answers

Answer:

y = 3x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 5 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

To find c substitute (- 2, - 7 ) into the partial equation

- 7 = - 6 + c ⇒ c = - 7 + 6 = - 1

y = 3x - 1 ← equation of parallel line

Consider the circle centered at the origin and passing through the point (0, 2).

(a) Give the equation of the circle.

(b) For each point, decide whether or not it is on the circle. Is the point on the circle? (look at the image I attached)​

Answers

Answer:

x^2+y^2=4, yes, no, yes, no

Step-by-step explanation:

a) It's centered at the origin, which means that the equation is x^2+y^2=r^2, right? Then since point (0,2) is on the circle, its radius can be solved using Pythagoras theory, r=sqrt(0^2+2^2)=2, so the equation is x^2+y^2=4.

b) You plug the points into the equation and if the equation is true, they're on the circle. I'll give you an example of the first two.

([tex]\sqrt{3},1[/tex]): so x=[tex]\sqrt{3}[/tex], y=1. When you bring that into the equation you got in (a), it would be 3+1=4, which is true, which means that the point is on the circle.

(4,0): so x=4, y=0. When you bring that into the equation you got in (a), it would be 16+0=4, which is not true, which means the point isn't on the circle.

a lab has two bacterial cultures. culture a contains 4 x 10^4 and culture b contains 8x10^6 bacteria. how many times greater is culture b than culture a

Answers

Culture A = 40,000
Culture B = 8,000,000
8,000,000/40,000= 200 times greater

A customer purchased 3 pairs of jeans for $94.50. If each pair of jeans costs the same amount, write an equation and then solve for the amount a single pair of jeans costs

Answers

Answer:

One pair of jeans will cost $31.50

Step-by-step explanation:

To find how much one pair of jeans will cost let's write an equation

where the cost of one pair of jeans is x

∴ 3×x=94.50

to find x we will divide both sides by 3

∴3÷3×x=94.50÷3

which makes the equation

x=31.50

meaning that one pair of jeans costs $31.50

if each pairs of jeans is the same amount

94.50=3*x

solve for x

94.59/3=x

31.50=x
each pair of jeans will cost $31.50

Can you identify a parallel or perpendicular equation and type the correct code? Please remember to type in ALL CAPS with no spaces.

Answers

The equation of the line that is parallel to [tex]2\cdot x + 5\cdot y = 10[/tex] is [tex]y = -\frac{2}{5} \cdot x + 3[/tex] and the equation of the line that is perpendicular to [tex]4\cdot x + 3\cdot y =12[/tex] is [tex]y =\frac{3}{4}\cdot x - 1[/tex].

Let be a line whose equation is:

[tex]a\cdot x + b\cdot y = c[/tex] (1)

Whose explicit form is:

[tex]y = -\frac{a}{b} \cdot x +\frac{c}{b}[/tex] (2)

Where:

[tex]x[/tex] - Independent variable.[tex]y[/tex] - Dependent variable.

The slope and x-intercept of the line are [tex]-\frac{a}{b}[/tex] and [tex]\frac{c}{b}[/tex], respectively.

There are two facts:

A line is parallel to other line when the former has the same slope of the latter.A line is perpendicular to other line when the former has a slope described the following form ([tex]m_{\perp} = -\frac{1}{m}[/tex]), where [tex]m[/tex] is the slope of the former.

Then, the equation of the line that is parallel to [tex]2\cdot x + 5\cdot y = 10[/tex] is [tex]y = -\frac{2}{5} \cdot x + 3[/tex] and the equation of the line that is perpendicular to [tex]4\cdot x + 3\cdot y =12[/tex] is [tex]y =\frac{3}{4}\cdot x - 1[/tex].

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The Office of Student Services at a large western state university maintains information on the study habits of its full-time students. Their studies indicate that the mean amount of time undergraduate students study per week is 20 hours. The hours studied follows the normal distribution with a population standard deviation of seven hours. Suppose we select a random sample of 125 current students. What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours

Answers

There is a probability of 77% that the mean of this sample is between 19.25 hours and 21.0 hours

Z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation,n=sample\ size[/tex]

Given that μ = 20, σ = 7, n = 125.

For x = 19.25:

[tex]z=\frac{19.25-20}{7/\sqrt{125} } =-1.20\\\\\\For\ x=21:\\\\z=\frac{21-20}{7/\sqrt{125} } =0.62[/tex]

From the normal distribution table, P(-1.20 < z < 0.62) = P(z < 0.62) - P(z < -1.2) = 0.8849 - 0.1151 = 0.7698 = 77%

There is a probability of 77% that the mean of this sample is between 19.25 hours and 21.0 hours

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Approximately what portion of the box is shaded blue?

A.2/3. B.9/10
C.3/5

Answers

the answer should be b 9/10

Piper is located at (3, -12) on a map. Bobbi is located at
(3, 2). How far apart are they?

Answers

Check the picture below.

Recall the method that the video showed to solve Gavin’s word problem. The video showed how we can use numerical expressions (with the help of a diagram) to arrive at a solution.

Compare the expression method from the video with the equation method that uses the variable b. Do both methods use the same sequence of operations?

Answers

Answer:    

There are three ways to solve systems of linear equations in two variables: graphing. substitution method. elimination method.

Step-by-step explanation: hope this helps :)

Write 0.511 as a fraction.

Answers

Answer:

511 / 1000

Step-by-step explanation:

0.511 = 511 / 1000

Answer:

511/1000

Step-by-step explanation:

Steps to convert 0.511 into a fraction:  

Write 0.511 as 0.511/1

For each digit following the decimal point, multiply both the numerator and denominator by ten:

0.511/1

          = 0.511 * 1000/ 1 * 1000 = 511/1000

As an aside, the entire number-integral section is: blank.

The decimal component is as follows: 0.511 = 511/1000

The following is the complete breakdown of simple fractions: 511/1000

 

Gabe has a savings account at the local bank. He deposits $150 in his account every 2 months. Which equation models the relationship between the months that deposits are made, x, and the amount of money deposited in the account, y?

Answers

Answer:

y=150(x/2)

Step-by-step explanation:

y = 150(x/2)

y represents the amount of money that is deposited into Gabe's account. x represents the amount of time he is adding money for.

x is divided by 2 because however long gabe has been adding money into his account, he does it every 2 months. This means that if x = 12 (time = 12 months) , then Gabe has only made (12/2) = 6 deposits of $150. If x = 4 (time = 4 months), then Gabe would have only made (4/2) = 2 deposits of $150.

With this being said, 150 is being multiplied by the number of deposits (x/2) to find the total amount of money deposited (y).

Select the graph that correctly translates ƒ(x) = |x| 4 units in the negative x-direction and 3 units in the positive y-direction.

Answers

Answer:

it would be the last one

Step-by-step explanation:

lmk if you want an explanation

The function f is given in three equivalent forms.
Which form most quickly reveals the zeros (or "roots") of the function?
Choose 1 answer:
f(x) = 1/2(x-5)^2-2
f(x)= 1/2(x -3) (x -7)
f(x) = 1/2x^2-5x+21/2
Write one of the zeros

Answers

Answer:

  a) best form: (b)  f(x)= 1/2(x -3) (x -7)

  b) zeros: x=3, x=7

Step-by-step explanation:

The factored form most quickly tells you the zeros of the function. The zeros are the values of x that make the factors zero: the opposite of the binomial's constant.

  f(x)= 1/2(x -3)(x -7) reveals the zeros to be x=3 and x=7

Answer:

khan

Step-by-step explanation:

A recipe calls for 3/4 of a cup of flour to make 5/8 of a pound of bread
dough. How many cups of flour are needed to make 1 pound of dough?
Show your work and write your answer in simplest form.

Answers

Answer:

[tex]\huge\boxed{\sf 1 \ pound \ of \ dough = 1\frac{1}{5} \ cup \ of \ flour}[/tex]

Step-by-step explanation:

[tex]\displaystyle \underline{Given \ that:}\\\\\frac{5}{8} \ pound \ of \ dough = \frac{3}{4} \ cup\ of \ flour\\\\Multiply \ 8 \ to \ both \ sides\\\\5 \ pounds \ of \ dough = \frac{3}{4} \times 8 \ cup \ of \ flour\\\\5 \ pounds \ of \ dough = 3 \times 2 \ cup \ of \ flour\\\\5 \ pounds \ of \ dough = 6 \ cups \ of \ flour\\\\Divide \ both \ sides \ by \ 5\\\\1 \ pound \ of \ dough = \frac{6}{5} \ cup \ of \ flour\\\\\boxed{1 \ pound \ of \ dough = 1\frac{1}{5} \ cup \ of \ flour}\\\\[/tex]

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Solve for g. Make sure to use scrap paper to show your work.

( 144 + 6 x 8 ) ÷ 3 = g

192
64
48
NO NOT PUT THIS IN A FILE

Answers

Answer:

64

Step-by-step explanation:

P E D M A S

() ² ÷ × + -

6 x 8 = 48

114 + 48 = 192

(192) ÷ 3 = g

192 / 3 = 64

g = 64

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