what is the probability of selecting a striped marble, not replacing it, then selectinga balck marble?

Answers

Answer 1

The probability of selecting a striped marble, not replacing it, then selecting a black marble is 4/15.

The probability of selecting a striped marble on the first draw is 6/10, since there are 6 striped marbles out of a total of 10 marbles in the bag.

After the first marble is drawn, it is not replaced, so there are now 9 marbles left in the bag. Out of these, there are 4 solid marbles and 5 striped marbles. Therefore, the probability of selecting a black marble on the second draw is 4/9.

To find the probability of both of these events occurring together, we multiply the probabilities

P(striped, then black) = P(striped) × P(black | striped not replaced)

P(striped, then black) = (6/10) × (4/9)

P(striped, then black) = 24/90

P(striped, then black) = 4/15

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The given question is incomplete, the complete question is:

There are 10 marbles in a bag (4 solid, 6 striped) .what is the probability of selecting a striped marble, not replacing it, then selecting a black marble?

Related Questions

A hamster runs in its wheel whose radius is 3 inches. The wheel completes 9.2 revolutions in 8 seconds.

What is the linear velocity of the hamster's wheel?

Answers

On solving the provided question we can say that As a result, the radius hamster's wheel has a linear velocity of 3.45 inches per second.

what is radius?

In more modern parlance, the length of a circle or sphere is the same as its radius in classical geometry, which is one of the line segments from its centre to its circumference. The phrase was derived from the Latin word radius, which also refers to the spokes of a waggon wheel. The radius of a circle is the distance between its centre and any point on its periphery. It is usually denoted by "R" or "r." A radius is a line segment with one endpoint in the centre and one on the circle's perimeter. The radius of a circle matches its diameter. The diameter of a circle is the segment that passes through its centre and has ends on the circle.

The circumference of the wheel is equal to 2r, where r is its radius. Thus the hamster's wheel's circumference is:

C = 2(3 inches) = 6 in.

Because the hamster does 9.2 revolutions in 8 seconds, its angular velocity is:

/ (8 seconds) = 1.15 rotations per second

The hamster's wheel has a linear velocity equal to the product of its angular velocity and radius. So:

3.45 inches per second = v = r = (1.15 rotations per second) * (3 inches)

As a result, the hamster's wheel has a linear velocity of 3.45 inches per second.

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if a watch was sold for RS 1656 after allowing 10% discount on the market price and adding 15% VAT ,find the discount amount

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the discount amount is RS 160.

define discount

A discount is a reduction in the price of a product or service that is offered by a seller to a buyer. The discount may be a percentage of the original price or a specific amount of money.

Let the market price of the watch be x.

After allowing a 10% discount, the selling price becomes 0.9x.

Then, adding 15% VAT, the final selling price is:

0.9x + 0.15(0.9x) = 1.035x

We know that the final selling price is RS 1656, so we can set up an equation:

1.035x = 1656

Solving for x, we get:

x = 1600

Therefore, the market price of the watch was RS 1600.

The discount amount is the difference between the market price and the discounted selling price:

Discount amount = Market price - Discounted selling price

= 1600 - 0.9x

= 1600 - 0.9(1600)

= 1600 - 1440

= 160

So the discount amount is RS 160.

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Reasoning with similarity geometry please help. 40 points

Answers

Answer:

ABC and CEF are right triangles | definition of right triangle

ABC and CEF are 30-60-90 triangles | definition of 30-60-90 triangle

ABC is similar to CEF | Angle-Angle-Angle similarity theorem

The Boeing 747-8 Intercontinental Jet can carry approximately 63,500 gallons of jet fuel, making it possible for the jet to travel 14,430 kilometers before needing to refuel.

Create a linear model that represents the amount of fuel on the plane, in gallons, as a function of the flight time, in hours. Show all of your work.

Answers

Answer: To create a linear model that represents the amount of fuel on the plane as a function of flight time, we need to use the given information to calculate the fuel burn rate of the airplane in gallons per hour.

Fuel burn rate = Fuel capacity ÷ Range

Fuel burn rate = 63,500 gallons ÷ 14,430 km = 4.4 gallons per km

We need to convert km to miles, as flight time is usually measured in hours and miles. We can use the conversion factor 1 km = 0.621371 miles to convert kilometers to miles.

Range in miles = Range in km ÷ 0.621371

Range in miles = 14,430 km ÷ 0.621371 = 23,594 miles

Fuel burn rate = Fuel capacity ÷ Range in miles

Fuel burn rate = 63,500 gallons ÷ 23,594 miles = 2.69 gallons per mile

Therefore, the linear model that represents the amount of fuel on the plane as a function of flight time, in hours, is:

Fuel on plane (in gallons) = Fuel capacity - Fuel burn rate x Flight time (in hours)

F(t) = 63,500 - 2.69t

where F(t) is the amount of fuel on the plane (in gallons) after flying for t hours.

Step-by-step explanation:

HELP SOLVE PLEASEEE ENOUGH POINTSSS

Answers

Step-by-step explanation:

$ 540 / 12 mos = $ 45 per month for all of the services

SO H + D + N = 45 and N = 2D

So H + D + 2D = 45

and H+ D = 300/12 = $25 / month

so (H+D) + 2D = 45

25 + 2D = 45

D = 10 dollars per month

then H = 15 dollars per month ( because H+D = 25)

and N = 20 dollars per month ( because N = 2D)

The cost of the Disney plus subscription is $10, Netflix is $20, and Hulu is $15 per month.

Work,

Set up 3 equations

H - cost of Hulu per month
N - cost of Netflix per month
D - cost of Disney per month

1) 12H + 12N + 12D = 540
2) 12H + 12D = 300
3) N = 2D

Now, I’m going to substitute 2D = N for N in the first equation to get the equation…
1) 12H + 12(2D) + 12D = 540. -> substitute 2D in for N
1) 12H + 36D = 540. -> add like terms

For the second equation, I’m going to solve it to make the equation equal H…
2) 12H = 300 - 12D. -> subtracted 12D from both sides
2) H = 25 - D. -> divided the entire equation by 12

Since we have H singled out, we can now substitute this equation in for H in the first equation,
1) 12(25 - D) + 36D = 540. -> you didn’t have to divide by 12 in the second equation but I did it because I wanted you know what to do in any other situation and it also helps in the end.
1) 300 - 12D + 36D = 540. -> distribute the 12
1) 300 + 24D = 540. -> add like terms
1) 24D = 240. -> subtract 300 on both sides
1) D = 10. -> divide by 24

So the Disney subscription is 10 dollars per month. Using that we can find the value of H and N…

2) H = 25 - 10. -> substitute the value of D into the equation
2) H = 15. -> solve

3) N = 2(10). -> substitute
3) N = 20. -> solve

So the cost of the Disney plus subscription is $10, Netflix is $20, and Hulu is $15 per month.

I hope this helps and you understand how I got my answer! If you have any questions about the explanation you can comment it and I can to help you! :)

Kevin has $500 in his savings account and he deposits $25 each week. Janet has $250 in her savings account and she deposits $50 each week.

(a) Write a system of equations that represents the scenario

(b) Solve the system to determine after how many weeks Kevin and Janet will have the same amount of savings. What will that amount be?

Answers

Answer:

(a) Let x be the number of weeks and let y be the total amount in their savings accounts. Then, the system of equations that represents the scenario is:

Kevin: y = 25x + 500

Janet: y = 50x + 250

(b) To determine after how many weeks Kevin and Janet will have the same amount of savings, we need to solve the system of equations by setting them equal to each other:

25x + 500 = 50x + 250

Subtracting 25x and 250 from both sides, we get:

250 = 25x

Dividing both sides by 25, we get:

x = 10

Therefore, Kevin and Janet will have the same amount of savings after 10 weeks. To find out what that amount is, we can substitute x = 10 into either equation:

y = 25x + 500

y = 25(10) + 500

y = 750

So after 10 weeks, both Kevin and Janet will have $750 in their savings accounts.

Step-by-step explanation: explained it in the answer

A rectangle and triangle are shown below.
The area of the rectangle is equal to the perimeter of the triangle.
Solve for x.
If your answer is a decimal, convert it to 1 d.p.

Answers

Answer:

Step-by-step explanation:

We know that the area of the rectangle is equal to the perimeter of the triangle

S (rectangle) = (x + 8) × (2x - 1)

P (triangle) = (5x - 1) + (6x + 8) + (8x + 15)

Now we can form an equation:

(x + 8) × (2x - 1) = (5x - 1) + (6x + 8) + (8x + 15)

[tex] {2x}^{2} - x + 16x - 8 = 5x - 1 + 6x + 8 + 8x + 15[/tex]

[tex]2 {x}^{2} - 4x - 30 = 0[/tex]

[tex]d = {b}^{2} - 4 \times a \times c = ({ - 4})^{2} - 4 \times 2 \times ( - 30) = 16 + 240 = 256 > 0[/tex]

[tex]x1 = \frac{ - b - \sqrt{d} }{2 \times a} = \frac{4 - 16}{4} = \frac{ - 12}{4} = - 3[/tex]

-3 is a negative number and we cannot use it, since x must be a natural number

[tex]x2 = \frac{ - b + \sqrt{d} }{2 \times a} = \frac{4 + 16}{4} = \frac{20}{4} = 5[/tex]

WHAT EVEN IS THIS! PLEASE HELP

Answers

Step-by-step explanation:

It is a trapezoid with bases 9 and 12 ft and height ( dashed line) found using Pythagorean theorem = 4 ft

area = height * average of bases = 4 * (9+12)/2 = 24 ft^2

I NEED HELP ON THIS ASAPPP!

Answers

Answer:

i thinks its scalene

Step-by-step explanation:

scalene is under 90 degrees

equal is 90 exact

and obtuse is over 90 but under 180

IK THE PIC IS DARK BUT PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST

Answers

Step-by-step explanation:

For x

From -6 to 2 is 8 units from -6 to -1 is 5/8ths of this

to verify:

for y from 5 to -3 is 8 units 0 is 5/8 of this

5:8

suppose s and t are finite sets and there is a function such that f is a k-to-1 correspondence. what can be inferred about the cardinality of s and t?

Answers

The we can infer that the cardinality of s is less than or equal to the cardinality of t multiplied by k.

Given that s and t are finite sets and there is a function f such that f is a k-to-1 correspondence. We need to determine what can be inferred about the cardinality of s and t.

Definition of K to 1 function: A function f is k-to-1 correspondence if the function f maps at most k distinct elements of the domain to a given element of the range.

Let |s| and |t| be the cardinalities of s and t respectively. According to the pigeonhole principle,
|s| <= k |t| This implies that the cardinality of s is less than or equal to the cardinality of t multiplied by k.

Note: We cannot infer anything about the equality of cardinalities of s and t, as the k-to-1 correspondence allows a function to map a single element of the domain to k elements of the range.

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PLEASE HELP ME!!!!!!!!!!!!!!

This figure is a rectangle with a semicircle on the shorter side.

What is the perimeter of this figure?

Use 3.14 for pi.

A. 20.28 ft

B. 30.28 ft

C. 46.28 ft

D. 74.24 ft

Answers

Answer: it should be b

Step-by-step explanation:

The perimeter of the rectangle is equal to the sum of the lengths of the three sides not bound by the semicircle:
10 ft + 4 ft + 10 ft = 24 ft

The perimeter of the semicircle is (1/2)*2*pi*r. The diameter of the circle is 4 ft, so the radius is 2 ft.
(1/2)*2*pi*2 = 6.28 ft

Add the perimeters of the rectangle and semicircle to find the total perimeter of the figure:
24 ft + 6.28 ft = 30.28 ft

Therefore, the answers is 30.28 ft.

GEOMETRY: Find the area of the parallelogram. Be sure to include the correct unit in your answer.

Answers

Answer = 700 in ^2
(700 inches squared)

Break the shape into 1 square and 2 triangles. The area of a triage is
length(width)/2

[9,7] is the difference between 2 vectors with components [3,4] and [-6, b] what is b

Answers

The value of b is -6

We know that the difference between two vectors with components (a1, a2) and (b1, b2) is given by (b1-a1, b2-a2).

So in this case, we have

[b1 - 3, b2 - 4] = [(-6) - 3, b - 4]

Simplifying the right-hand side gives us

[-9, b - 4]

So we can set the components of the left-hand side equal to the corresponding components of the right-hand side

b1 - 3 = -9

b2 - 4 = b - 4

Solving for b in the first equation gives us

b1 = -9 + 3 = -6

Substituting this into the second equation and simplifying gives us

-6 - 4 = b - 4

-10 = b - 4

b = -10 + 4 = -6

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Please help me! This is due at 2:15 PM!!!! WHICH ALREADY PASSED!!! ITS GOING TO BE LATE> A game has 15 balls for each of the letters B, I, N, G, O. The table shows the results of drawing balls 1,250 times.
Letter Frequency

B 247

I 272

N 238

G 241

O 252

For which letter is the experimental probability closest to the theoretical probability? Explain please.

Answers

Answer: O: 252

Step-by-step explanation:

Theoretically, all of the letters would've been drawn 250 times as that is the theoretical possibility. The closest number to the theoretical number in this experiment would be 252 which belongs to O

would most people take the following gamble? flip a coin, if heads you win $75, if tails you lose $50. explain your answer.

Answers

Answer:

50/50 Chance

Step-by-step explanation:

I'm not sure if you wrote the entire question correctly, but the highest chance you would have of winning would be 100% because the 2 sides * the 50/50 chance they have. So that would make the odds of winning 50%.

At a local coffee shop, the manager has determined that 56% of drink orders are for specialty espresso drinks and 44% are for plain coffee. The manager also noted that 40% of customers order food. For customers who purchase the specialty espresso drinks, 35% also purchase a food item, and for customers who purchase plain coffee, 30% also purchase a food item. What is the probability that a randomly chosen customer will purchase a specialty espresso drink and a food item?
0.13
0.14
0.20
0.22

Answers

Let's use conditional probability to solve this problem. We want to find the probability of a customer purchasing a specialty espresso drink and a food item, so we can use the following formula:

P(specialty espresso drink and food) = P(food|specialty espresso drink) * P(specialty espresso drink)

We know that P(specialty espresso drink) = 0.56 and P(food|specialty espresso drink) = 0.35, so we can substitute these values into the formula:

P(specialty espresso drink and food) = 0.35 * 0.56

P(specialty espresso drink and food) = 0.196

Therefore, the probability that a randomly chosen customer will purchase a specialty espresso drink and a food item is 0.196 or approximately 0.20 (rounded to two decimal places).

So, the answer is option C: 0.20.

AE and CD intersect at point B. Find m

Answers

The measure of angle ABC is 36°

What are vertical opposite angles?

When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are always equal to each other.

Therefore we can say that angle DBE = angle ABC. This is because this two angles are vertically opposite.

Therefore, < ABC = < DBE = 36°( vertically opposite angles are equal).

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three-fourths of the chocolates in a box are dark chocolate. three-eighths of the dark chocolates are filled with caramel. what fraction of the chocolates in the box are dark chocolate and filled with caramel?

Answers

Fraction of the chocolates in the box that are dark chocolate and filled with caramel is 3/32.

To solve this problem, we need to determine what fraction of chocolates in the box are both dark chocolate and filled with caramel. We are given that:

Three-fourths of the chocolates in a box are dark chocolate. Three-eighths of the dark chocolates are filled with caramel. We need to find out the fraction of chocolates that are dark chocolate and filled with caramel. To find out the fraction of chocolates in the box that are dark chocolate, we divide the number of dark chocolates by the total number of chocolates.

This is given by:

3/4 (dark chocolates)

To find the fraction of dark chocolates that are filled with caramel, we multiply the fraction of dark chocolates by the fraction of dark chocolates filled with caramel. This is given by:

3/4 × 3/8 = 9/32

Therefore, the fraction of chocolates in the box that are dark chocolate and filled with caramel is 9/32.

To simplify the fraction 9/32, we can divide the numerator and denominator by their greatest common factor, which is 1:9/32 = 9 ÷ 1 / 32 ÷ 1 = 9/32.

Hence, the answer is 3/32.

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Let x and y both represent rational numbers. Select whether each expression is always, sometimes, or never a
rational number.
x-y
x + y
Always Sometimes Never

Answers

The expressions x - y and x = y are sometimes a rational number.

Classifying the types of the numbers

From the question, we have the following parameters that can be used in our computation:

x and y = rational numbers

The difference of two rational numbers is always a rational number, so x - y is sometimes a rational number.

The sum of two rational numbers is always a rational number, so x + y is sometimes a rational number.

Therefore, both expressions are sometimes a rational number.

Answers

Answer:

12x-2

Step-by-step explanation:

-4(-3x-8)-34

12x+32-34

12x-2

A parabola is defined as the set of points the same distance from (6,2) and line y=4. Select all points that are on this parabola

Answers

In conclusion there are no points among the given options that are on the parabola.

why it is?

The vertex of the parabola is the midpoint between the point (6, 2) and the line y = 4, which is at (6, 3). Since the focus is below the vertex and the directrix is a horizontal line, the equation of the parabola is of the form:

(x - h)²2 = 4p(y - k)

where (h, k) is the vertex and p is the distance from the vertex to the focus (and from the vertex to the directrix).

Using the vertex and the given point (6, 2), we can find that p = 1. Therefore, the equation of the parabola is:

(x - 6)²2 = 4(y - 3)

Now we can check which of the given points satisfy this equation:

A. (4, 6)

(4 - 6)²2 = 4(6 - 3)

4 = 12 - 12