In the game of Pick-A-Ball, there are 10 colored balls: 2 red, 4 white, and 4 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen. It is common in games of chance to be rewarded for obtaining unlikely results. For example, in the game of poker, hands that are less likely to occur tend to trump hands that are more likely to occur. That same concept applies in this game. It costs $10 to play Pick-A-Ball, and your prize is the reciprocal of the probability of obtaining your exact sequence of results, expressed in dollars. For example, if the probability of obtaining your exact sequence of results is 0.10, your prize is 1/0.10
Required:
What is the probability of selecting the color of ball that you just selected?
Answer:
The probability of selecting the color of ball that you just selected(a red ball) is \(P(r) = \frac{2}{10}\)
Step-by-step explanation:
From the question we are told that
The total number of colored balls is n = 10
The number of red balls is r = 2 red
The number of white ball is w = 4
The number of blue balls is b = 4
The number of balls to be selected is N = 2 balls
The cost of playing picking a ball is c = $10
The winnings is \(k = \$ P(A)\)
Here P(A) is the probability of obtaining the exact sequence of result and from the question it is P(A) = 0.10
Generally my price according to the question is
\(k = \frac{0.10 }{10}\)
=> \(k = 0.01 \)
Let assume we selected a red ball
Generally the probability of selecting a red ball is mathematically represented as
\(P(r) = \frac{2}{10}\)
(Ill give brainliest and extra points if u help)
Robert says he needs 250 plastic sleeves for his baseball card collection. He has 3,084 baseball cards. Each sleeve has 12 cards. Do you agree with Robert?
Explain your reasoning.
(Write at least 4 sentences to support your answer pls :D)
Answer:
NO.
Step-by-step explanation:
If Robert has a total of 3,084 baseball cards, and each sleeve can contain 12 cards, we can figure out how many sleeves he would need by dividing the two. When we divide 3,084 by 12, we find that it equals 257. Robert figured he'd need 250. His conclusion is, thus, 7 cards deficient.
no
same person on top of me
Step-by-step explanation:
Triangle 2 and triangle 3 were created by drawing an altitude in triangle 1. What is the relationship between the green highlighted
segment in triangle 2 and the blue highlighted segment in triangle 1?
A. The highlighted segments are corresponding sides of triangles 1 and 3.
B. The highlighted segments are corresponding sides of triangles 2 and 3.
C. The highlighted segments have no corresponding relationship.
D. The highlighted segments are congruent.
The relationship between the green highlighted segment in triangle 2 and the blue highlighted segment in triangle 1 is D. The highlighted segments are congruent.
What are congruent segments ?Congruent segments are segments in different shapes that have the same length and angle. In other words, they are identical to each other even though they are in different shapes.
The green highlighted segment in triangle 2 and the blue highlighted segment in triangle 1 are congruent segments because the blue highlighted segment was segment the green highlighted segment was derived from which is why they are the same.
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Describe, in words, how the figure at the right was translated.
Answer:
8 up, 6 left
Step-by-step explanation:
Locate any point from triangle A and go up 8 steps to get on the same level as triangle A'. Then, move to the left 6 steps.
The graph translated 6 unit left and 8 unit upward.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given, A figure "A" that translated at different position in cartesian plane.
Since, A translation is when a geometric figure slides up, down, left or right on the coordinate plane. The figure moves its location, but doesn't change its orientation. It also doesn't change its size or shape.
Thus, we can observe only one point on the figure and calculate the movement of the figure.
Lets focus on the left bottom corner of the figure.
It moves from the coordinates (1, -5) to the coordinates ( -5, 3)
Since Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis
So, we can say it translated to the lefty by 6 unit.
Same it goes with vertical translation.
Therefore, The graph translated 6 unit left and 8 unit upward.
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What is the center of the hyperbola?
(y+3)29−(x−2)22=1
Enter your answer by filling in the boxes.
center:
What is the center of the hyperbola?
(y+3)²/9-(x-2)²/2=1
Enter your answer by filling in the boxes.
center: (__,__)
Answer:(2,-3)
Step-by-step explanation:
Can someone help This is due today. Thank you!
(a) The amount of square feet of laminate flooring Samantha need to purchase for her kitchen is 268 ft².
(b) The amount of linear trim of feet Samantha need to purchase for her kitchen 80 ft.
What is a perimeter?Perimeter is the total distance around an plane figure.
(a) To calculate the amount of square feet for laminate flooring, she needed to purchase for her kitchen, we use the formula below.
Formula:
A = LW+lw..................... Equation 1Where:
A = Amount of square feet of laminateL = Length of the bigger rectangleW = Width of the bigger rectanglel = Length of the smaller rectanglew = Width of the smaller rectangleFrom the question,
Given:
L = 20 ftW = 9 ftl = 8 ftw = 11 ftSubstitute these values into equation 1
A = (20×9)+(8×11)A = 180+88A = 268 ft²(b) To calculate the amount of the linear trim of feet needed, we find the Perimeter of the shape
Perimeter = 20+20+9+12+11+8Perimeter = 80 ftHence, The amount of linear trim of feet is 80 ft.
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Question 1 One solution. 2x - 1 =_________x - 1
Answer:
2
Step-by-step explanation:
2x-1 = __x-1
Make both sides match to make the statement true.
2x-1 = 2x-1
PLEASE FAST
What is the equation of the line containing the paints A and B?
a) y = - 3x + 4
b) y = 1/3x + 4
c) y = 3x + 4
d) y = - 1/3x + 4
The equation of the line containing the paints A and B is y = -1/3x + 4
How to determine the linear equation that represents the graphfrom the question, we have the following parameters that can be used in our computation:
The graph
Where, we have
(6, 2) and (0, 4)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx + 4
Using the other points, we have
6m + 4 = 2
So, we have
6m = -2
Evaluate
m = -1/3
So, we have
y = -1/3x + 4
As an equation, we have
y = -1/3x + 4
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In the given figure find the value of the unknown interior angle x in the following figure.
Answer:
Therefore, the measure of angles x is 70°.
Step-by-step explanation:
From the given figure ,
115° is the exterior angle
x° and 45° are the two interior opposite angles to 115°
We know that
An exterior angle formed by extending the side of a triangle is equal to the sum of the two interior opposite angles
⇛ x° + 45° = 115°
⇛ x° = 115°-45°
⇛ x° = 70°
Therefore , x = 70°
Indicated measure for circle o
Answer:
number a should be half of 82 which is 41
for question b is two times 26 which is 52
(a) From Latoya's results, compute the experimental probability of rolling a 1 or 6.
(b)Assuming that the cube is fair, compute the theoretical probability of rolling a 1 or 6.
(c)Assuming that the cube is fair, choose the statement below that is true.
A. The experimental and theoretical probabilities must always be equal.
B. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become closer, though they might not be equal.
C. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become farther apart.
(a) To compute the experimental probability of rolling a 1 or 6 from Latoya's results, we need to determine the number of times a 1 or 6 was rolled and divide it by the total number of rolls Latoya made.
Let's assume that Latoya rolled the dice 100 times and obtained 20 1's and 10 6's. The total number of successful outcomes (rolling a 1 or 6) is 20 + 10 = 30.
Therefore, the experimental probability of rolling a 1 or 6 is 30/100 = 0.3 or 30%.
(b) Assuming the cube is fair, the theoretical probability of rolling a 1 or 6 can be determined by considering the favorable outcomes (rolling a 1 or 6) divided by the total possible outcomes (rolling any number from 1 to 6).
Since there are two favorable outcomes (1 and 6) out of six possible outcomes (1, 2, 3, 4, 5, 6), the theoretical probability is 2/6 = 1/3 or approximately 0.3333.
(c) The correct statement is B. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. This is due to the law of large numbers, which states that as more trials are conducted, the experimental probability tends to converge towards the theoretical probability. However, it is not necessary for them to be exactly equal. Random variations can cause some discrepancy, but with a larger number of rolls, the experimental probability should approach the theoretical probability more closely.
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Sandra had a coupon for 20% it took off $60 from the total cost. What was the original price of the item?
Answer:
$300
Step-by-step explanation:
Since 20% is equal to 1/5, you should multiply $60 by 5 to get $300 as the original cost and as your answer.
Answer:
$300
Step-by-step explanation:
Question is '60 is 20 percent of what number'?
is/over = percent/100
60/x = 20/100
cross-multiply: 20x=600; x = 300
Consider the sequence 4,-12,36,-108... What is the explicit formula that could be used to solve any term in the sequence
whats 2×1..... ............. . .......
Answer:
2
Step-by-step explanation:
Answer:
2x1 is 2
Step-by-step explanation:
Please help me ASAP please
Answer:35 answer
Step-by-step explanation:75-40=35
Answer:35
Step-by-step explanation:
40+T=75
Or
75-40=35
Each morning, Sleepwell Hotel offers its guests a free continental breakfast with pastries and orange juice. The hotel served 540 gallons of orange juice last year. This year, the hotel served 5% less orange juice than it did the previous year. How much was served this year
The amount of juice served this year is given as follows:
513 gallons.
How to obtain the amount of juice?The amount of juice served this year is obtained applying the proportions in the context of the problem.
The amount last year was given as follows:
540 gallons.
The percentage of this year's amount relative to last year's amount is given as follows:
95%, due to the decay of 5%, 100 - 5 = 95%.
Hence the amount of juice served this year is given as follows:
0.95 x 540 = 513 gallons.
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Please help, Which statements about the graph are true? Choose all the true statements.
A.) The friends stopped for a break between hours 3 and 4.
B.) The friends hiked at a constant speed for the first 2 hours.
C.) The friends hiked at the maximum speed for 7 and 8.
D.) The friends hiked the least number of miles between hours 6 and 7.
E.) The friends hiked back toward the starting point between hours 3 and 4.
Answer:
I would say it's C
Step-by-step explanation:
trust the process
What contributes to the movement of air masses?
Answer:
I think it’s air pressure differences
Step-by-step explanation:
A at duck is resting on the surface of a lake,
an altitude of 0 feet above sea level. It dives to
-5 feet to eat. Then it returns to the surface.
Which of these occurred between the time the
duck ate and the time it returned to the surface?
A. The duck's altitude increased by 5 feet.
B.
The duck's altitude decreased by 5 feet.
C. The duck's altitude increased by 10 feet.
D. The duck's altitude remained the same.
Answer:
B
Step-by-step explanation: cause the duck went down so the altitude decreased by 5 not increased which makes B correct.
Answer:
B
Step-by-step explanation:
if the duck started at 0 its at ground level, it states that the duck dove, so minus 5 or -5, decreased means take away. Thus the answer is B. Sorry if I didn’t word this to help explain.
If the sample size is increased and the standard deviation and confidence level stay the same, then the margin of error will also be increased.
a. True
b. False
False!
The answer is: False.
Whomever stated the answer is "true" is wrong.
SHARE 300 USING 2:3:5
If we divide 300 into parts using the ratio 2:3:5, we get:
2 parts = 2/10 of the total ratio = 2/10 x 300 = 60
3 parts = 3/10 of the total ratio = 3/10 x 300 = 90
5 parts = 5/10 of the total ratio = 5/10 x 300 = 150
Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.
I hope I helped!
~~~Harsha~~~
Instructions: Solve the following linear
equation
4(n + 5) – 2(5 + 7n) = -70
n =
Answer:
Step-by-step explanation:
4*(n +5) - 2*(5 + 7n) = -70
4*n + 4*5 + 5*(-2) + 7n*(-2) = -70
4n + 20 - 10 - 14n = -70
4n - 14n + 20 - 10 = -70
- 10n + 10 = -70
Subtract 10 from both sides
-10n = -70 - 10
-10n = -80
Divide both sides by (-10)
n = -80/-10
n = 8
Step-by-step explanation:
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you roll a standard cube. find p(number greater than 3)
The probability of rolling a number greater than 3 is 1/2 or 0.5.
When rolling a standard cube, there are six possible outcomes, corresponding to the six faces of the cube. Each face has a number from 1 to 6.
To find the probability of rolling a number greater than 3, we need to determine the number of favorable outcomes (rolling a number greater than 3) and divide it by the total number of possible outcomes (rolling any number from 1 to 6).
The favorable outcomes for rolling a number greater than 3 are: 4, 5, and 6. So, there are three favorable outcomes.
The total number of possible outcomes is six since there are six faces of the cube.
Therefore, the probability of rolling a number greater than 3 is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 3 / 6
Probability = 1/2
Hence, the probability of rolling a number greater than 3 is 1/2 or 0.5.
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Find the missing length.
C =
✓ [?]
C
1
8
Pythagorean Theorem: a? + b2 = c2
Enter
Answer: \(\sqrt{65}\)
Step-by-step explanation:
\(a^2+b^2=c^2\\1^2+8^2=c^2\\65=c^2\\c=\sqrt{65}\)
Grain 1/100 = how many micrograms
Please help! Thank you!
Answer:
Step-by-step explanation:
1/100 grams is equal to 10000 mircograms
of equ
final equation is a true sta
A 4x - 3= 2x + 13
Answer:
8
Step-by-step explanation:
Step 1:
4x - 3 = 2x + 13 Equation
Step 2:
4x = 2x + 16 Add 3 on both sides
Step 3:
2x = 16 Subtract 2x on both sides
Step 4:
x = 16 ÷ 2 Divide
Answer:
x = 8
Hope This Helps :)
Answer:
x=8
Step-by-step explanation:
4X-3=2x+13
+3. +3
4X=2x+16
-2x. -2x
2x=16
/2. /2
x=8
Complete the solution of the equation. Find the
value of y when x equals 0.
-7x + 3y = 30
Enter the correct answer.
000
DONE
Clear all
+
Hello!
Let's consider what the question asks for
--> value of 'y' when 'x = 0'
-7x + 3y = 30
Let's plug in '0' into x and solve for 'y'
\(-7x+3y=30\\\\-7(0)+3y=30\\\\y=10\)
Thus y = 10 when x = 0
Answer: 10
We are given the equation:
\(\rm{-7x + 3y = 30}\)To find the value of y when x equals 0, we need to substitute 0 for x in the equation and solve for y:
\(\rm{-7(0) + 3y = 30}\)Simplifying the equation:
\(\rm{3y = 30}\)Dividing both sides by 3:
\(\boxed{\rm{y = 10}}\quad\green{\checkmark}\)\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
Three friends play a game. Jamila has 4-1/2
more points than Carter. Carter has 7 1/2 more
points than Aisha. Jamila has 26 points. Write
and solve an equation to find the number of
points Aisha has. Show your work.
The equation is written as
x + 11 = 26Aisha has 15 points
How to write the equationLet's use the given information to set up an equation to represent the relationship between the points each friend has.
Let x be the number of points Aisha has.
Then, according to the problem statement, we know that:
Carter has 7 1/2 more points than Aisha, so he has
x + 7 1/2 points.
Jamila has 4 - 1/2 more points than Carter, so she has
x + 7 1/2 + 4 - 1/2 points,
which simplifies to x + 11 points.
Jamila has 26 points, so we can set x + 11 equal to 26 and solve for x:
x + 11 = 26
x = 26 - 11
x = 15
Therefore, Aisha has 15 points.
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if you had a sale price of $40 and the percent of your discounts 25% what was the original price.
Answer:
$ 50
Step-by-step explanation:
Original price = Sale price + discount
= 40 + 25% of 40
= 40 + 0.25 * 40
= 40 + 10
Original price = $50
Emilio took a random sample of n=12 giant Pacific octopi and tracked them to calculate their mean lifespan. Their lifespans were roughly symmetric, with a mean of x= 4 years and a standard deviation of sx=0.5 years. He wants to use this data to construct a t interval for the mean lifespan of this type of octopus with 90% confidence.
What critical value t* should Emilio use?
Emilio can find that the critical value t* for a 90% confidence level and 11 degrees of freedom is approximately 1.796.
Define standard deviation?To construct a t interval for the mean lifespan with 90% confidence, Emilio needs to use a t-distribution with n-1 degrees of freedom. The confidence interval for the population is given by:
confidence interval = x ± t × (s·x/√n)
Where x is the sample mean, s·x is the sample standard deviation, n is the sample size, and t is the critical value of the t-distribution.
Since the sample size is n=12, the degrees of freedom for the t-distribution will be (n-1) = 11. To find the critical value t* for a 90% confidence level and 11 degrees of freedom, Emilio can use a t-distribution table or a statistical software.
Using a t-distribution table or calculator, Emilio can find that the critical value t* for a 90% confidence level and 11 degrees of freedom is approximately 1.796.
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