11 black balls and 14 white balls are placed in an urn. two balls are then drawn in succession. what is the probability that the second ball drawn is a white ball if the second ball is drawn without replacing the first ball?

Answers

Answer 1

[tex] |\Omega|=25\cdot24=600\\
|A|=11\cdot14+14\cdot13=154+182=336\\\\
P(A)=\dfrac{336}{600}=\dfrac{14}{25}=56\% [/tex]


Related Questions

If the mean waiting time for the next arrival is 12 minutes, what is the median waiting time? 8.3 minutes 12 minutes 9.1 minutes 7.2 minutes

Answers

8.3+12+9.1+7.2= 36.6 divide it by 4 which is the number of factors the answer is 9.15

Since the mean waiting time is 12 minutes, the median waiting time would also be 12 minutes.

Here's how we can find the median waiting time:

Since the mean waiting time is 12 minutes, it means that if you were to add up all the waiting times of different arrivals and divide by the number of arrivals, you would get 12 minutes.

Now, for the median waiting time, we're looking for the value that falls exactly in the middle of all the waiting times.

If the distribution is symmetrical, which is often the case with waiting times, the mean and median will be the same.

Which statements correctly describe the solid figure? Check all that apply.
It is an octagonal prism.
It is an octahedron.
It is oblique.
It is a Platonic solid.
It is a convex polyhedron.

Answers

The correct answer is:
A. It is an octogenarian prism.
C. It is oblique.
E. It is a convex polyhedron.
It is an octagonal prism.

It is oblique.

It is a convex polyhedron.

What is the formula for margin of error?

Answers

Margin of error is a term used in Statistics to find the confidence interval. It is denoted by E.

Formula for E is:

Critical Value x Standard Deviation / (Square Root of Sample Size)

[tex]E=critical* \frac{s}{ \sqrt{n} } [/tex]

The critical value is determined by the type of test that is to be used for the given scenario and the confidence level. 

Answer:

ME=z×s/√n

Step-by-step explanation:

Basically the answer is C.

This is a priority! The equation of a parabola is 1/16 (y+3)^=x+4 what are the coordinates of the focus?

Answers

To solve this problem you must apply the proccedure shown below:

 1. You have the following equation of a parabola:

 1/16(y+3)^2=x+4 

 2. Rewriting the equation of the parabola, you have:

 (y+3)^2=16(x+4)

 3. The vertex of the parabola is:

 (h,k)=(-4,-3)

 3. Now, you must find the coefficient of the unsquared part, as below:

 4p=16
 p=16/4
 p=4

 4. As you can see, the y part is squared and p is positive. This means that the parabola that opens to the right.

 5. The focus of the parabola has to be 4 units to the right of the vertex. Therefore, the focus is:

 (0,-3)

 The answer is: (0,-3)

Two people started from the same point at the same time and traveled in opposite directions. One traveled at 60 mph and the other at 50 mph. How long will it take before the two people are 440 miles apart?

Answers

You can set this up as the following equation
x = hours
60x + 50x = 440
110x = 440
110x / 110 = 440/110 = 4

It will take 4 hours
60x+ 50x = 440
60(4) + 50(4) = 440
440 = 440

(Giving Brainliest)
what is the solution to...
[tex]|x| +19 \leqslant 3[/tex]

Answers

The absolute value must be less than -16 for there to be any solution. It cannot be negative. There is no solution.


_____
On the graph, solutions correspond to values of x where the red line is in the blue region. (There are none.)

Evaluate C(7, 7).

A: 0
B: 1
C: 7

If you can, could you please explain how you got your answer. These problems honestly don't make any sense to me and I'm turning towards here as a last resort. Thanks in advance.

Answers

If you're seeing these problems as part of your study of statistics, you should know that
  C(n, k) = n!/(k!×(n-k)!)
where the "!" indicates the factorial, the product of all positive integers less than or equal to the given one.

Then C(7, 7) = 7!/(7!×0!) = 1/0!
You are supposed to know also that 0! ≡ 1, so C(7, 7) = 1.

This is the number of ways you can choose 7 objects from a pool of 7 objects without regard to order. (You can do it one (1) way: choose all of them.)

The appropriate choice is ...
  B: 1

Answer:

Answer = 1

Step-by-step explanation:

List all integers between -15 and 25 that are congruent to 3 mod (11)

Answers

The positive ones (from 0 to 25) are easiest to start with, we want remained 3 upon division by 11.

3 is the first trivial choice since "three goes into 11 zero times with three left over" so

11 × 0 + 3 = 3
11 × 1 + 3 = 14
11 × 2 + 3 = 25

For the negative ones we want,
11 × -1 + 3 = -8

When the sample size and sample standard deviation remain the same, a 99% confidence interval for a population mean, µ will be narrower than the 95% confidence interval for µ?

Answers

A 99% confidence interval will be wider compared to a 95% confidence interval. This is because while you don't know what the true value of mu is, you are more confident that the parameter is in the interval.

In essence, you are casting a wider net which leads to the higher level of confidence. Imagine if there was a 100 mile stretch of straight land, and somewhere on this line was a special rock that you are looking for. You would be 100% confident if you said "the rock is somewhere on that piece of land", and less confident the more you shrunk the interval.

Using the equation for the margin of error, it is found that the 99% confidence interval will be wider than the 95% confidence interval for µ.

What is the margin of error of a confidence interval?

The margin of error of a confidence interval is given by an equation in the following format:

[tex]M = t\frac{s}{\sqrt{n}}[/tex]

In which:

t is the critical value, which increases as the confidence level increases.s is the standard deviation of the sample.n is the sample size.

In this problem, a 99% confidence interval will have a higher value of t than a 95% confidence interval, hence a higher margin of error, and thus will be wider.

You can learn more about the margin of error of a confidence interval at https://brainly.com/question/25779324

American cheese 0.45 to 4.26 what is the percent increase

Answers

For this case we have the following rule of three:
 0.45 ------> 100%
 4.26 ------> x
 Clearing x we have:
 x = (4.26 / 0.45) * (100)
 x = 946.6666667%
 Thus, the percentage of growth is:
 946.6666667 - 100 = 846.6666667
 Rounding:
 846.7%
 Answer:
 
the percent increase is:
 
846.7%

Choose the equation of a line in standard form that satisfies the given conditions. perpendicular to 4x + y = 8 through (4, 3) A. x − 4y = −8 B. x + 4y = 16 C. 4x − y = 11 D. 4x + y = 19

Answers

we have that
Choose the equation of a line in standard form that satisfies the given conditions. perpendicular to 4x + y = 8 through (4, 3)

4x + y = 8-----> y=-4x+8-----> the  slope m is -4

we know that
 if two lines are perpendicular
then
m1*m2=-1
m1=-4
so
m2=1/4

with m=1/4 and point (4,3)
find the equation of the line
y=mx+b
3=(1/4)*4+b-----> 3=1+b-----> b=2
y=(1/4)*x+2------> (1/4)*x-y=-2-----> multiply by 4----> x-4y=-8

the answer is the option
A. x − 4y = −8

all real cube roots of 27

Answers

The answer is 3, since 3*3*3 equals 27

Show that the vector field f(x,y,z)=⟨ycos(−2x),−2xsin(y),0⟩f(x,y,z)=⟨ycos⁡(−2x),−2xsin⁡(y),0⟩ is not a gradient vector field by computing its curl. how does this show what you intended?

Answers

Final answer:

To show that the given vector field is not a gradient vector field, we need to compute its curl. The curl is computed by taking the cross product of the gradient operator with the vector field. By computing the partial derivatives and simplifying, we find that the curl of the given vector field is not zero, which indicates that it is not a gradient vector field.

Explanation:

To show that the vector field is not a gradient vector field, we need to compute its curl. The given vector field is f(x,y,z) = <ycos(-2x), -2xsin(y), 0>. The curl of a vector field is defined as the cross product of the gradient operator with the vector field. In this case, the curl of f(x,y,z) is computed as:

curl(f) = ∇ × f = (∂f_z/∂y - ∂f_y/∂z)i + (∂f_x/∂z - ∂f_z/∂x)j + (∂f_y/∂x - ∂f_x/∂y)k

By computing the partial derivatives and simplifying, we find that:

∂f_z/∂y = 0∂f_y/∂z = 0∂f_x/∂z = 0∂f_z/∂x = 2ycos(-2x)∂f_y/∂x = 0∂f_x/∂y = -2sin(y)

Substituting these values back into the curl formula, we get:

curl(f) = (2ycos(-2x))i + 0j + (-2sin(y))k

This shows that the curl of the vector field is not zero, which means the vector field is not a gradient vector field.

Express Express 0.45 as a percent

Answers

It’s 45%. This is because when changing a decimal into a fraction you move the decimal over two times to the right.

To change 0.45 to a percent, we can move the decimal point 2 places to the right and add the percent sign.

If we move the decimal 2 places to the right, we will end up with 45 and then we will add the percent sign and it will become 45%

Therefore, 0.45 to a percent is 45%

Michael has $1.95 totally in his collection, consisting of quarters and nickels. The number of nickels is three more than the number of quarters. How many nickels and how many quarters does Michael have?

Answers

6 quarters = $1.50
9 Nickels = $0.45

Total= $1.95

Answer is 6 quarters and 9 nickels.
He has 7 quarters and 9 nickels because $1.50+ $.45= $1.95.

Fill in the blank 300mm =___m

Answers

300 mm = 0.3 meter because 1 meter = 1000 mm so 3 meters would be 3000 mm but 300 mm is 1/10 of 3000, so 300 mm would equal 0.3

Final answer:

To convert 300mm to meters, divide 300 by 1000 because there are 1000 mm in a meter, resulting in 0.3 meters.

Explanation:

To convert millimeters to meters, we use the conversion factor that 1000 mm equals 1 m. Therefore, to convert 300mm to meters, you divide 300 mm by 1000 because there are 1000 mm in a single meter. So, let's carry out the calculation:

300 mm ÷ 1000 = 0.3 m

Thus, 300 mm is equal to 0.3 meters.

(4k^4 + 2 - 3k) + (5k^4 + k - 8)

Answers

Hello!

You can only add values that have the same terms

4k^4 + 5k^4 = 9k^4

-3k + k = -2k

-8 + 2 = -6

The answer is 9k^4 - 2k - 6

Hope this helps!
(4k^4 + 2 - 3k) + (5k^4 + k - 8)
= 4k^4 + 2 - 3k + 5k^4 + k - 8
= 9k^4 -2k -6


The simplest form is  9k^4 -2k -6

A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of .) 452.16 cm3 840.54 cm3 1,055.04 cm3 1,456.96 cm3 NextReset

Answers

The volume of air surrounding the cone and inside the cylinder will be the difference of the volume of cylinder and the cone. 

So,

Volume of air = Volume of cylinder - Volume of cone

[tex]= \pi r^{2}h- \frac{1}{3} \pi r^{2}h \\ \\ =3.14(5)^{2}(16)- \frac{1}{3}(3.14) (4)^{2}(12) \\ \\ =1055.04[/tex]

Thus, the volume of the air surrounding the cone and inside the cylinder will be 1055.04 cubic centimeter
volume of air = volume of cylinder - volume of cone

cylinder = pi * r * r * h
cone  = pi * r * r * h/3

substitute the values;
The volume of air is equal to 1055.05cu.cm

{ x - y = 4 3x - 6y = -12 graph

Answers

x = 8
y = 4

You can get this by graphing each equation and looking for the point of intersection. 

The base of an isosceles triangle is 7 cm longer than the legs. Find the legs if the perimeter of the triangle is 43 cm.

Answers

If L represents the leg length, the perimeter is ...
  43 cm = L + L + (L +7 cm)
  36 cm = 3L
  12 cm = L

The length of the legs is 12 cm.

Which of these points does not change its location when it is reflected across the y-axis? (2, 0) (0, 6) (3, 3) (–5, 5)

Answers

Answer:

-5,5

Step-by-step explanation:

hey can you please help me posted picture of question

Answers

By observing the graph we can see that G(x) is obtained by shifting F(x) 2 units to the right.

A horizontal shift is indicated by addition/subtraction to x rather than the function.

A right shift is indicated by subtracting the number from x. So a right shift of F(x) will be indicated by F(x-2)

Thus,

G(x) = F(x-2)

G(x) = (x-2)²

So, the answer to this question is option B
B, is the final answer :)

Tangerine trees yield 50 pounds of fruit per acre and grapefruit trees yield 75 pounds of fruit per acre. John's orchard produced a maximum total of 1,500 pounds of fruit. Is it possible for John to have 25 acres of tangerine trees and 15 acres of grapefruit trees?

 No, because 50(25) + 75(15) ≠ 1500 No, because (50 + 75)(20 + 15) ≠ 1500 Yes, because 50(25) + 75(15) ≥ 1500 Yes, because 50 + 75 + 25 + 15 ≤ 1500

Answers

If x and y are the acres under Tangerine trees and grapefruit trees respectively, then:

Total pounds of trees = 50x + 75y

For x = 25 acres and y = 15 acres
Total weight of trees = 50*25 + 75*15 = 2,375 pounds

This exceeds the maximum weight of fruits (that is, 1,500 pounds) possible from this farm. Therefore, John cannot have 25 acres of Tangerine trees and 15 acres of grapefruit trees.

helppppppppppppp stat

Answers

The answer is (B) 16.67 hope it helps..
I can not see the pic again but if u type it i will see if i can

WILL GIVE BRAINLIEST

An oil company fills 1 over 10 of a tank in 1 over 5 hour. At this rate, which expression can be used to determine how long will it take for the tank to fill completely?
1 over 5 ⋅ 10 hours
1 over 10 ⋅ 5 hours
1 over 5 ⋅ 1 over 10 hours
5 ⋅ 10 hours

Answers

1/5 * 10 hours or your first option (assuming its multiple choice)

Answer:

Option A. 1 over 5. 10 hours

Step-by-step explanation:

This question can be solved by the unitary method.

∵ Oil company fills [tex]\frac{1}{10}[/tex] of a tank in the time = [tex]\frac{1}{5}[/tex] hurs

∴ Full tank can be filled in the time = [tex]\frac{\frac{1}{5} }{\frac{1}{10} }[/tex] hours.

= [tex]\frac{1}{5}\times 10[/tex]

Therefore, the expression that can be used to determine the time that it will take to fill the tank completely will be Option A.

The price of a pair of jeans at a store increased by 25% to $40. Find the price of the pair of jeans before the increase

Answers

First you gotta look for the value of the 25% in the 40$ So it will be
25&=0.25
0.25x40=10
Now all you gotta do it’s
40-10=30
You subtract becaus le they ask you to find the price before it was increased so that why you gotta subrtract it

If you wanted to vertically stretch the graph of F(x) = |x| by five units, what would the equation of the new function, G(x), be? 

A. G(x)=|x|-5
B. G(x)=|x+5|
C. G(x)=5|x|
D.G(x)=|5x|

mcr apex

Answers

Solution:

The Preimage function is , F(x)=|x|

Consider a point (a,b) on the function, F(x)=|x|. it means

b=|a|-----(1) satisfies the function.

Now the function F(x)=|x|  is vertically stretched by 5 units.It means

x=a , y= b+5

x=a, b=y-5

So, putting the value of a and b in equation (1).

y-5=|x|

y= |x| + 5 is vertical stretch of y= |x| by 5 units.


A cylindrical can of cat food has a diameter of 3.5 inches and a height of 1.25 inches. A second brand of cat food is packaged in a cylindrical can with a radius of 1.2 inches and a height of 1.25 inches. What is the difference between the volumes of the cans? Show your work.

Answers

I did the work instead, hope it helps :)

The numbers of rooms for 15 homes recently sold were: 8, 8, 8, 5, 9, 8, 7, 6, 6, 7, 7, 7, 7, 9, 9. what is the sample standard deviation?

Answers

From the data set given:
8, 8, 8, 5, 9, 8, 7, 6, 6, 7, 7, 7, 7, 9, 9
to get the standard deviation we use the formula for variance given by:
σ²=[Σ(x-μ)²]/(n-1)
σ² is the variance
μ is the mean
The mean of the data will be:
μ=(8+8+8+5+9+8+7+6+6+7+7+7+7+9+9)/15=7.4
The variance will be found as follows:
σ²=[(8-7.4)²×4+(5-7.4)²+3×(9-7.4)²+5×(7-7.4)²+2×(6-7.4)²]/(15-1)
σ²=1.4
thus
σ=√1.4=1.1183





Answer:

Hence, the sample standard deviation is:

                         1.1832

Step-by-step explanation:

The data is given by:

8, 8, 8, 5, 9, 8, 7, 6, 6, 7, 7, 7, 7, 9, 9.

The mean of these data points is given by:

[tex]Mean(x')=\dfrac{8+8+8+5+9+8+7+6+6+7+7+7+7+9+9}{15}\\\\i.e.\\\\Mean(x')=\dfrac{111}{15}\\\\i.e.\\\\Mean(x')=7.4[/tex]

Now,

x                x-x'                   (x-x')²

8            8-7.4=0.6              0.36

8            8-7.4=0.6              0.36

8            8-7.4=0.6              0.36    

5            5-7.4= -2.4             5.76

9            9-7.4=1.6                2.56

8            8-7.4=0.6              0.36

7            7-7.4= -0.4             0.16

6            6-7.4= -1.4              1.96

6            6-7.4= -1.4              1.96

7            7-7.4= -0.4             0.16

7            7-7.4= -0.4             0.16

7            7-7.4= -0.4             0.16

7            7-7.4= -0.4             0.16

9            9-7.4=1.6                2.56

9            9-7.4=1.6                2.56

                             ∑(x-x')²=19.69          

Now the variance of the sample population is given by:

[tex]Variance=\dfrac{\sum (x-x')^2}{n-1}[/tex]

where  n is the number of data points.

Here n= 15

Hence, n-1=14

Hence, we get:

[tex]Variance=\dfrac{19.6}{14}\\\\i.e.\\\\Variance=1.4[/tex]

We know that the standard deviation is the square root of the variance.

i.e.

[tex]Standard\ deviation=\sqrt{1.4}\\\\i.e.\\\\Standard\ deviation=1.1832[/tex]

If f(x) = 2x - 8 and g(x) = square root of x - 5, what is (f ^ g)(30).

Answers

Final answer:

The output of the function (f ^ g)(30) in this context refers to first calculating the output of the g function given x = 30, then substituting this output into the f function. With g(30) = sqrt(x - 5) and f(x) = 2x - 8, we find that (f ^ g)(30) = 2.

Explanation:

To find (f ^ g)(30), we first need to find the output of the g function when x = 30 and then substitute this output into the f function. This is also known as the composition of functions.

First, let's find the output of the g function when x = 30. Given that g(x) = sqrt(x - 5), for x = 30, g(30) = sqrt(30 - 5) = sqrt(25) = 5.

Next, we substitute this output into the f function. Given that f(x) = 2x - 8, when x = 5, f(5) = 2(5) - 8 = 10 - 8 = 2.

Therefore, (f ^ g)(30) = 2.

Learn more about Composition of Functions here:

https://brainly.com/question/30143914

#SPJ12

Final answer:

To find the value of [tex](f ^ g)(30)[/tex], substitute 30 into both f(x) and g(x) to find f(30) and g(30). Then substitute g(30) into f(x) to find the final value.

Explanation:

In this mathematics question, you're asked to find the value of [tex](f ^ g)(30)[/tex]where [tex]f(x) = 2x - 8[/tex]and g(x) = square root of x - 5. To calculate (f ^ g)(x), we first need to find the value x in both functions f and g. So, let's find f(30) and g(30) first.

Firstly, substitute x = 30 into f(x). So, [tex]f(30) = 2*30 - 8 = 52[/tex]. Now, substitute x = 30 into g(x). So, g(30) = square root of (30 - 5) = square root of 25 = 5.

Now, f ^ g(30) means we substitute the output of g(30) = 5 into f(x) which gives us [tex]f(5) = 2*5 - 8 = 2.[/tex]

Learn more about Composite Functions here:

https://brainly.com/question/30143914

#SPJ12

Other Questions
Who was the first U.S. president to travel to communist China and Moscow?A. Richard NixonB. George H.W. BushC. Jimmy CarterD. Bill Clinton A car rental agency charges $50 per week plus $0.50 per mile to rent a car. What is the weekly cost to rent the car, f, as a function of the number of miles driven during the week, x. How many miles did you drive during the week if the weekly cost to rent the car was $100? The equation of a hyperbola is 5x2 y2 = 25. What is the area of the asymptote rectangle? Triangles ABC and DEF are similar. The ratio of the side lengths in triangle ABC to triangle DEF is 1:3. If the area of triangle ABC is 1 square unit, what is the area of triangle DEF? A sphere with a radius of 6cm has the same volume as a cylinder with a height of 4.5cm. What is the radius of the cylinder What is the role of dehydration reactions in the formation of organic compounds and hydrolysis? Anna mixes the letters S, E, L, E, C, T, E, and D thoroughly. Without looking, Mary draws one letter. Expressed as a fraction, decimal, and percentage, what is the probability that E will NOT be the letter Mary selects? Which is a genotype for pea shape? A.r B.R C.RR D.round peas require courses that educate a college students in a board range of subject areas are called Which two countries were excluded from the peace talks at versailles? Ftsz, mreb, and cres proteins regulate the shape and structure of bacterial (prokaryote) cells. these proteins are homologous to the ________ in eukaryotes. What is the correct meaning of the word foresight?Kim had the foresight to finish her homework early so she could attend the concert that night.A) the ability to manage time effectively B) the inability to see what might happen in the feature C) a lack of regard for being responsible D) the ability to look forward and plan ahead In cases of obsessive-compulsive disorder (ocd), _____ frequently accompany obsessions and appear to serve the function of reducing the anxiety created by such disturbing thoughts. What is the point of view expressed in the expressed in the excerpt What weaknesses made the league of nations an ineffective force for peace in the 1920s and 1930s? when the boucicauts established the worlds first department store they introduced many changes make the statement if it accurately describes one of the innovation they made I have this project for a class, and it asks me for three reasons why battles happen in certain areas. I don't exactly get why the other one would be the reasons. Please explain. The nebular hypothesis suggests that our solar system evolved from a huge _____.rotating cloudvolcanic eruptionstar explosionasteroid collision How does Odysseus anger Poseidon? Which statement is true for asexual reproduction? A)Genetic information from two parents is copied and passed on to form offspring with new genetic information. B)Genetic information from a single parent is copied and passed on to form offspring with new genetic information. C)Genetic information from two parents is copied and passed on to form offspring with identical genetic information. D)Genetic information from a single parent is copied and passed on to form offspring with the same genetic information.