Una caja A contiene 5 bolas blancas y 4 negras; otra caja B contiene 3 bolas blancas y 5 negras. Se trasladan 3 bolas de la caja A a la B, y se saca una bola de la caja B. Cual es la probabilidad de que esta sea blanca?
The probability of drawing a white ball from box B is 7/8 or approximately 0.875 (87.5%).
Let's calculate the probability of drawing a white ball from box B after transferring 3 balls from box A to box B.
Given:
Box A contains 5 white balls and 4 black balls.
Box B contains 3 white balls and 5 black balls.
After transferring 3 balls from box A to box B, we need to consider two scenarios:
The ball drawn from box B comes from the 3 transferred balls.
The ball drawn from box B comes from the original balls in box B.
Let's calculate the probability for each scenario and then sum them to obtain the total probability.
After transferring 3 balls from box A to box B, box B will contain 6 balls (3 white and 3 black), while box A will contain 2 white balls and 4 black balls.
The probability of drawing a white ball in this scenario is 3/6, as there are 3 white balls out of a total of 6 balls in box B after the transfer.
In this scenario, we consider that the ball drawn from box B comes from the original balls in box B, meaning it was not transferred from box A.
The probability of drawing a white ball in this scenario is 3/8, as there are 3 white balls out of a total of 8 balls in box B before the transfer.
Now let's sum the probabilities of both scenarios to obtain the total probability:
Total Probability = (Probability of Scenario 1) + (Probability of Scenario 2)
= (3/6) + (3/8)
= 1/2 + 3/8
= 4/8 + 3/8
= 7/8
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Solve for y
X+y=6
X=4
Simplify your answer as much as possible
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Do the following conditions make a unique triangle, more than one triangle or no triangle possible
Answer:
No triangle possible
Step-by-step explanation:
The one side is to short to make a triangle
9, 14, 12,17,15, 20,18
what is the rule for the following pattern?
PLS ANSWER QUICK, HELP
Answer:
1/2. gallon.............
Pls help
Due at 5
Plsssss (NO LINKS)
Answer: if it is -7+10 then it is 3
Students in an environmental science class raised money to buy plants for a community garden. The students raised money by selling regular cupcakes for $2.00 each and gluten-free cupcakes for $3.00 each. The number of regular cupcakes sold was determined to be 2 times the number of gluten-free cupcakes sold. If a total $350 was raised through cupcake sales over a three-week period, how many cupcakes were sold altogether
Answer:
50 gluten-free cupcakes and 100 regular cupcakes.
Step-by-step explanation:
Let's define the variables:
R = number of regular cupcakes sold
G = number of gluten-free cupcakes sold
The total amount of money raised then is:
M = R*$2.00 + G*$3.00
We also know that:
The number of regular cupcakes sold was 2 times the number of gluten-free cupcakes sold.
then:
R = 2*G
And we also know that the amount of money raised is $350
Then we have the equations:
R = 2*G
R*$2.00 + G*$3.00 = $350
We can replace the first equation into the second one, so we have only one variable:
(2*G)*$2.00 + G*$3.00 = $350
Now we can solve this for G.
G*$4.00 + G*$3.00 = $350
G*$7.00 = $350
G = $350/$7.00 = 50
G = 50
50 gluten-free cupcakes where sold.
And using the equation:
R = 2*G = 2*50 = 100
We can conclude that 100 regular cupcakes were sold.
someone please help me answer this!!
Answer:
17 units is the answer
Step-by-step explanation:
Points are (1,9) and (9,-6)
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(9-1)^2 + (-6-9)^2}\\\\d=\sqrt{(8)^2+(15)^2} \\\\d=\sqrt{64+225} \\\\d=\sqrt{289} \\\\d=17[/tex]
∴ d = 17 units is the distance between 2 points.
ANSWER !!
ILL GIVE 40 POINTS !!
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Answer: 24km^2
Step-by-step explanation: The area of the middle rectangle of the trapezoid is 3×4=12. The two triangles on the sides are both 3-4-5 right triangles and have a combined area of 12 units^2. 12+12=24!
What is 30 percent of 48
Answer: 14.4
30*48=14.4%
Step-by-step explanation:
Answer:
14.4
Step-by-step explanation:
The parallelogram shown below had an area of 60 units2. Find the missing base.
Answer:
I can't find the missing parallelogram, let alone the base.
Step-by-step explanation:
5a. Solve the equation. 4x = 32
Answer:
x=8
Step-by-step explanation:
have a good day
Answer:
x=8
Step-by-step explanation:
divide both sides of the by equation by 4
4x÷4=32÷4
x=32÷4
x=8
Original scale: 1 inch = 8 feet. A parallelogram with a side length of 24 feet. A larger parallelogram with a side length of 72 feet.
Noah planned a parallelogram-shaped sidewalk to lead from the street to the front door of his house. He realized the walkway was too short and he needs to change the length to 72 feet. He wrote a ratio to find the change in the scale factor.
24 ft
72 ft
=
The change in the scale factor is
✔ 1/3
.
The change of scale means that 1 inch represented
✔ 8
feet, but now 1 inch represents
✔ 24
feet.
Answer:
The change in the scale factor is
✔ 1/3
The change of scale means that 1 inch represented
✔ 8
feet, but now 1 inch represents
✔ 24
feet.
Step-by-step explanation:
If you have a rectangle or square, each of the angles measures 90°. If you have a parallelogram or rhombus, the opposite angles are the same and the consecutive angles are supplementary. For other types of quadrilaterals you may need to add the given angles and then subtract from 360°.
[Also Pic with proof]
The change in the scale factor is
1/3.
The change of scale means that 1 inch represented 8 feet, but now 1 inch represents 24 feet.
If you have a rectangle or rectangular, each of the angles measures 90°. if you have a parallelogram or rhombus, the opposite angles are the same and the consecutive angles are supplementary. For different types of quadrilaterals, you can want to feature the given angles and then subtract from 360°.
What is the scale factor?The scale factor is a degree for similar figures, who appear the same but have distinctive scales or measures. Assume, the circle looks similar however they might have various radii. The scale factor states the scale by the way which a determined is larger or smaller than the original figure.
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In the diagram below, what is the approximate length of the mirror arc AB?
Answer:
D) 15.7 cm
Step-by-step explanation:
radius = 10 cm
diameter = 10 x 2 = 20 cm
circumference = 20 x 3.14 = 62.8 cm
(90°/360°)(62.8) = 15.7 cm
A farmer is worried that a recent salmonella outbreak may have come from the carrots on his farm. He wants to test the carrots at the farm, but it will ruin the crop if he tests all of them.
a. If the farm has 10,000 carrots growing, describe a method that would
produce a random sample of 10 plants.
b. Why would a random sample be useful in this situation?
Answer: for b. Step-by-step explanation: The random sample would show multiple outcomes of the carrot growth and the combinations, i believe
When creating equations for our word problems, we must remember to...
A. write all equations in slope-intercept form.
B. make sure all equations are in the same form.
C. define all variables.
9514 1404 393
Answer:
C. define all variables
Step-by-step explanation:
Equations for word problems will depend on the problem. Not all of the equations will be linear equations. Even if they are, they are not necessarily easily written in any particular form, or easily solved when they are written in that form. The nature of the equations will depend on the problem.
One thing that must be done in any case is define all variables. It is usually a good idea to define the units of the variable(s) as well. Sometimes problems are posed with numbers in incompatible dimensions, or they may ask for an answer in dimensions different from those used in the given information. In order to avoid confusion and to be sure you have the desired answer, you need to make sure the variables and their dimensions are compatible with the solution process.
The population of a city decreases by 4% per year. If this year's population is 171,000, what will next year's population be, to the nearest individual?
Simplify. 6 to the power of 2+3 to the power of 2.
Thanks!
Answer:
45
Step-by-step explanation:
6 to the power of 2 + 3 to the power of 2
6² + 3²
(6 × 6) + (3 × 3)
36 + 9
45
In Joe's fish tank, there are 7 goldfish and 12 snails. How does the ratio 12:19 describe Joe's fish tank?
Answer:
honestly this was the only thing i was ever good at in math.
its kinda fun cuz its like puzzle solving.
Answer:
The ratio represents they are 12 snails for every 19 sea creatures in Joe's tank.
Step-by-step explanation:
In total, there are 19 sea creatures in the tank. And since there are 12 snails in the tank, the ratio represents that there are 12 snails for every 19 sea creatures in Joe's tank.
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Hope it helps!
What is the area of this semicircle if the radius is 6m?
1. Determine the three-dimensional figure that will be created using the following nets.
Answer:
The figure is a triangular prism
Step-by-step explanation:
it's bc the bases are triangles
A triangular prism is a three-sided prism consisting of a triangular base, a translated duplicate, and three faces connecting similar sides. The given net will form a triangular prism.
What is a triangular prism?A triangular prism is a three-sided prism consisting of a triangular base, a translated duplicate, and three faces connecting similar sides. A right triangular prism has rectangular sides and is oblique otherwise.
A triangular prism is a three-sided prism consisting of a triangular base, a translated duplicate, and three faces connecting similar sides. The given net will form a triangular prism.
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Question 6 of 10 What is the slope of the line that contains the points (-2, 2) and (3, 4)? O A. 01N B. 5 C. 5 2 D. 2 SUBMIT
Answer:
I don't know what those answer choices are but the answer should be: [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
4-2 = 2
3 - (-2) = 5
Put the y values over the x
[tex]\frac{2}{5}[/tex]
A family buys 4 airline tickets online. The family buys travel insurance that costs $19 per ticket. The total cost is $752. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.
Answer : 169
Step-by-step explanation:
4(x+19) = 752
4x +76 = 752
4x = 752 - 76
x = 676/4
x=169
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Find the sum of 3/4 and 5/10 pls
Answer:
Is it 1.25
I hope the helps!
Answer:
5/4 or decimal- 1.25
Step-by-step explanation:
3/4+5/10
=3/4+5/10
=3/4+1/2
=3/4+2/4
=3+2/4
=5/4
8. Change the fraction 3/4 to a percent.
A. 133%
B. 75%
C.63%
D. 34%
Answer:
B. 75%
Step-by-step explanation:
multiply the numerator and the denominator by 25. 3*25/4*25=75/100. 3/4=75%.
Answer:
75%
Step-by-step explanation:
Start by converting the fraction 3/4 into decimal
Divide the numerator by the denominator: 3 ÷ 4 = 0.75
Multiply the decimal by 100 and write the result with the percentage sign at the end 0.75 × 100 = 75%.
your awnser is, 3/4 = 75%
(sorry if this doesnt
make sence)
Compare the dimensions of the prisms. How many times greater is the surface area of the green prism than the surface area of the blue prism?
I will ONLY give a brainliest to whoever answers the questions CORRECTLY!
Answer:
The surface area of the green prism is 6.25 times greater than the surface area of the blue prism.
Step-by-step explanation:
The surface area of both prisms consists of six rectangles: top, base, front, back, left side and right side. In terms of surface area, top=base, front=back and left side=right side, so the total surface area for each prism is:
2(base area)+2(back area)+2(side area)
=2((base area)+(back area)+(side area))
Area of blue prism = 2((base area)+(back area)+(side area))
=2((4*2)+(4*10)+(2*10))
=2(8+40+20)
=2(68)
=136 cm²
Area of green prism = 2((base area)+(back area)+(side area))
=2((10*5)+(25*10)+(25*5))
=2(50+250+125)
=2(425)
=850 cm²
850cm² is 6.25 times greater than 136cm² (850/136=6.25), so therefore, the surface area of the green prism is 6.25 times greater than the surface area of the blue prism.
Brainliest for correct answer
Answer:
2 is the answer I think sorry if am wrong
What is the probability of flipping heads and rolling a six?
Help quick?!!?!?!?!!?!?!,
Factor out the common factor in -45 + 81n + 90n^2
A: I think it’s 9(−5+9n+10n2)
Step-by-step explanation: