Two Possible solutions for the other number are -32 and 32.
What are absolute value of a number?Absolute value describes the distance from zero that a number is on the number line, without considering direction.
Overall, To find the absolute value of a number :
Let we have any number n ( it can be positive/negative ).
so, Absolute value of 'n' will be | n | (mod of n) , means we have to take positive value of the given number.
For example: | -3 | = 3
| 4 | = 4
| -1000 | = 1000
Now, For absolute value -
For example: Absolute value of 29 is 29.
Absolute value of -56 is 56.
Absolute value of -1000 is 1000.
We have given the product of two numbers is 7904.
Let say we have number 'a' and 'b'.
so, here : a x b = 7904. ------------ ( i )
The absolute value of one of the numbers is 247.
Let Absolute value of 'a' = 247
So the number 'a' can be either 247 or -247.
because absolute value of 247 is 247 and also absolute value of -247 is 247.
using equation ( i )
a x b = 7904
b = 7904 / a.
when a = 247
b = 32
when a = -247
b = - 32
Hence, Two Possible solutions for the other number are -32 and 32.
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Eliana loves music, especially 80's punk rock. Eliana looked at the number of songs in her itunes account and she has 6 less than 4 times her best friend. Eliana's classmate David has 3 more than double her best friend. When talking to her Social Studies teacher, Eliana found out social study teacher has 7 more than two times the number of songs in his library than Eliana. Define a variable, then write and solve an equation. If the total number of songs is 382, how many songs does Eliana, her best friend, David and her social study teacher have?
Answer
Step by step explantion:
bsf= 26
Eliana:98
SS teacher=203
David=55
Step-by-step explanation:
m= music
bsf: m
eliana:4m-6
David:2m+3
SS teacher: 2(4m-6)+7
m+4m-6+2m+3+8m-12+7
382=15m-7
7+ +7
389=15m
/15m /15m
m=26
multiply 26 to each one of them
Make a reasonable conjecture for the next term in the sequence.
3 4 6 7 9 10 12 13 15 16
Can someone help me answer this
Step-by-step explanation: \(2x^{2} +3x+5=0\\\\x=-3±\sqrt{b^{2}-4ac} /2a\\x=-3±\sqrt{3^2-4*2*5/2*2}\\\\x=-3/4 ± \sqrt{31} * (1/4*i)\\x=-3/4 + \sqrt{31} * (-1/4*i)\\\)
Answer: Using the Quadratic Formula, the answer would be x = -3/4 + \sqrt{31} * ([-]1/4*i)
If X = 6 units, Y = 4 units, and Z = 13 units, then what is the volume of the triangular pyramid shown above?
A.
44 cubic units
B.
39 cubic units
C.
104 cubic units
D.
52 cubic units
Answer:
D. 52 cubic units
Step-by-step explanation:
Michael walks 30 meters in 20 seconds. How many meters does he walk per second?
Answer:
1.5 meters per second
Step-by-step explanation:
30 meters in 20 seconds. U need to "separate" the 30 seconds into 20 parts so u have to divide:
30/20 = 1.5
Answer: 1.5 meters
Step-by-step explanation:
To find how many meters in 1 second we need to make a unit. We'll use fractions in this case...
30 meters ÷ 20 1.5 meters
-------------- = -----------------
20 seconds ÷ 20 1 second
This is a fancy was of saying 1.5 meters per 1 second.
Help me please please please
Answer:
24
Step-by-step explanation:
First find the volume of box A (12x2x2)
A=48
Next since box B is half the volume of box A divide 48 by 2
B=24
:)
Question 1: What is the solution to the system of equations? ( Look at the picture) Answer part A and Part B. ( Will Mark Brainliest).
Answer:
x-2y= -8
Step-by-step explanation:
Answer:
Step-by-step explanation: Part A:
3x−6y=−12;x−2y=−8
Rewrite equations:
x−2y=−8;3x−6y=−12
Step: Solvex−2y=−8for x:
x−2y=−8
x−2y+2y=−8+2y(Add 2y to both sides)
x=2y−8
Step: Substitute2y−8forxin3x−6y=−12:
3x−6y=−12
3(2y−8)−6y=−12
−24=−12(Simplify both sides of the equation)
−24+24=−12+24(Add 24 to both sides)
0=12
Answer:
No solutions.
Part B: the lines are parallel
Travel Expenses, Meals And Entertainment, Educational Expenses (LO 3.4, 3.5, 3.6) Bob is a self-employed lawyer and is required to take a week of continuing legal education every year to maintain his license. This year he paid $1,400 in course fees for his continuing legal education in a different city. He also paid $500 for airfare and a hotel room and paid $300 for meals, all of which were provided by the hotel’s restaurant. Bob also purchased a $10 bag of snacks from a newsstand while waiting for his plane in the airport because he missed lunch. What is the total amount he can deduct on his Schedule C related to these expenses? fill in the blank 1 of 1$
Bob can deduct a total of $2,210 on his Schedule C related to these expenses.
How to calculate deductible amount?To determine the total amount Bob can deduct on his Schedule C related to these expenses, consider the specific categories that can be deducted. Based on the information provided, categorize the expenses as follows:
Course fees for continuing legal education: $1,400
Airfare and hotel room: $500
Meals provided by the hotel's restaurant: $300
Snacks from the newsstand: $10
To calculate the total amount that Bob can deduct, add up these expenses:
$1,400 + $500 + $300 + $10 = $2,210
Therefore, Bob can deduct a total of $2,210 on his Schedule C related to these expenses.
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Determine whether the statement below is true or false. Justify the answer. Elementary row operations on an augmented matrix never change the solution set of the associated linear system. A. The statement is true. Each elementary row operation replaces a system with an equivalent system B. The statement is false. Interchanging two rows never changes the solution set of the associated linear system. However, replacing one row by the sum of itself and a multiple of another row can change the solution set of that system. C. The statement is false. Interchanging two rows never changes the solution set of the associated linear system. However, scaling a row by a nonzero constant can change the solution set of that system. D. The statement is true. Elementary row operations are always applied to an augmented matrix after the solution has been found.
Elementary row operations are always applied to an augmented matrix after the solution has been found. So the option D is correct.
Elementary row operations:
1. It is possible to convert a system of linear equations into an equivalent system, or into a new system of equations that has the same solutions as the original system, using these straightforward techniques.
2. In order to convert a matrix to row echelon form, Gaussian elimination is used.
3. Simple row operations on an augmented matrix never alter the underlying linear system's solution set.
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Can someone pleaseee help
Answer:
Step-by-step explanation:
all you have to do is * 7 by 5 and divide by 2
Write (x - 5)(x + 5)(2x - 1) in standard form.
-x2 + 2x2 - 50x + 25
2r? - x? - 50x + 25
2x - x2 - 50x
-50x - x? + 2x
Answer:
2x3 - x2 - 50x + 25
Step-by-step explanation:
So the first thing you would do is multiply (x - 5)(x + 5)
x2 + 5x - 5x - 25
then you would simplify
x2 - 25
then you would multiply it by 2x - 1
(x2 - 25)(2x - 1)
2x3 - x2 - 50x + 25
so your answer is
2x3 - x2 - 50x + 25
solve 5x+y=24x+y=4 use the linear combination method
Answer:
(x,y)=(0,4)
Step-by-step explanation:
write as systems as equations, multiply both sides of the equation by -1, sum the equations vertically to eliminate at least one variable, divide both sides of the equation by -19, substitute the given value of x into the equation 5x+y=4, The possible solution of the system is the ordered pairs (x,y) =(0,4), then you're done. whew. ;)
liz has 9 buttons. kristen has b more buttons than liz choose the expression that shows how many buttons kristen has. A. b - 9. B. 9 + b. C. 9. D. 9 - b
Answer:
B. 9+b
Step-by-step explanation:
if b represents the number of buttons more than 9, then you just have to add 9 to that and you get your equation.
This explanation made better sense in my head...
Find the value of g for which MATH is a parallelogram.
A. 5
B. 6
C. 7
D. 10
Answer:
the answer is b.6
-------------------------
Binomial distributions
The proportion of eligible voters in the next election who will vote for the incumbent is assumed to be 52.5%. What is the probability that in a random sample of 430 voters, less that 49.6% say they will vote for the incumbent?
Answer: the vote will get 82.45%
Step-by-step explanation:
Write a rule for the translation.
(x-1, y + 2)
(x-2, y + 1)
(x+2, y - 1)
(x+1, y-2)
Answer: Step 1: Pick a pair of corresponding points: one point in the shape before the translation and the same point in the shape after the translation.
Step 2: Determine how many units, a, left or right the shape moved.
Step-by-step explanation:
Use each picture or description of a triangle, write and solve an equation in order to find the number of degrees in each angle
Answer:
4x + 7x - 2 + 5x - 10 = 180
16x - 12 = 180
16x = 192
x = 12
m<A= 4x = 4(12) = 48
m<B = 7x - 2 = 7(12) - 2 = 84 - 2 = 82
m<C = 5x - 10 = 5(12) - 10 = 60 - 10 = 50
Step-by-step explanation:
.
Let \(f(x)=2(3)^x^+^1\). Evalulate \(f(2)\) without using a calculator. Do not include \(f(2)\) in your answer.
\(f(x)=2(3)^{x+1} \\\\[-0.35em] ~\dotfill\\\\ f(2)=2(3)^{(2)+1}\implies f(2)=2(3)^3\implies f(2)=2(3^3) \\\\\\ f(2)=2(27)\implies f(2)=54\)
You have recently been hired to survey water park! The park attractions can be found at the locations shown in the table on your grid map. Use this data to answer the questions to follow. Location Ordered Pairs Help Center (2, 3) Large Whirlpool (3, 14) Water Slide #1 (-6, 3) Water Slide #2 (16, 4) Water Slide #3 (-7, 6) Toddler Area (-3, -9) Lazy River (-7, 10) Concessions (6, -6) Gift Shop (8, -9) Restrooms (2, -9) Security Desk (5, 4) After identifying each attraction’s location with ordered pairs, you are now ready to calculate the slope between attractions using the slope formula. Help Center to Water Slide #1 Toddler Area to Concessions Gift Shop to Restrooms Security Desk to Water Slide #2 Lazy River to Large Whirlpool Now calculate the point between these attractions by applying the midpoint formula. Help Center to Water Slide #1 Toddler Area to Concessions Gift Shop to Restrooms Security Desk to Water Slide #2 Lazy River to Large Whirlpool Using your slope and end points calculate a linear equation, y = mx + b. and solve for b. Help Center to Water Slide #1 Toddler Area to Concessions Gift Shop to Restrooms Security Desk to Water Slide #2 Lazy River to Large Whirlpool
Help Center to Water Slide #1: Level line, y = 3. Toddler area to Concessions: Negative incline, y = (-1/3)x - 7. Gift Shop to Restrooms: Level line, y = -9. Security desk to Water Slide #2: Even line, y = 4. Lazy river to large Whirlpool: Positive incline, y = (2/5)x + 61/5.
How to calculate the slope between attractions using the slope formula.To calculate the slope between attractions and discover the midpoints, we'll utilize the given requested sets for each fascination. Here are the calculations:
Help Center to Water Slide #1:
Slope = ((y2 - y1) / (x2 - x1)) = ((3 - 3) / (-6 - 2)) = / -8 =
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((2 + (-6)) / 2), ((3 + 3) / 2)) = (-2, 3)
Toddler area to Concessions:
Slope = ((y2 - y1) / (x2 - x1)) = ((-6 - (-3)) / (6 - (-3)) = (-3 / 9) = -1/3
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((-3 + 6) / 2), ((-9 + (-6)) / 2)) = (1.5, -7.5)
Gift Shop to Restrooms:
Slope = ((y2 - y1) / (x2 - x1)) = ((-9 - (-9)) / (8 - 2)) = / 6 =
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((8 + 2) / 2), ((-9 + (-9)) / 2) = (5, -9)
Security desk to Water Slide #2:
Slope = ((y2 - y1) / (x2 - x1)) = ((4 - 4) / (16 - 5)) = / 11 =
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((5 + 16) / 2), ((4 + 4) / 2) = (10.5, 4)
Lazy River to Large Whirlpool:
Slope = ((y2 - y1) / (x2 - x1)) = ((10 - 14) / (-7 - 3)) = (-4 / -10) = 2/5
Midpoint = ((x1 + x2) / 2)), ((y1 + y2) / 2)) = ((-7 + 3) / 2), ((10 + 14) / 2)) = (-2, 12)
Presently, let's calculate the linear equations for each case:
Help Center to Water Slide #1:
The Slope is 0, and the y-coordinate is consistent, so the equation is y = 3.
Toddler area to Concessions:
The Slope is -1/3, and the y-intercept can be calculated utilizing the midpoint facilitates:
-7.5 = (-1/3)(1.5) + b
-7.5 = -0.5 + b
b = -7
Gift Shop to Restrooms:
The Slope is 0, and the y-coordinate is steady, so the equation is y = -9.
Security desk to Water Slide #2:
The Slope is 0, and the y-coordinate is steady, so the equation is y = 4.
Lazy River to Large Whirlpool:
The Slope is 2/5, and the y-intercept can be calculated utilizing the midpoint arranges:
12 = (2/5)(-2) + b
12 = -4/5 + b
b = 61/5
The Linear equations for each case are as follows:
Help Center to Water Slide #1: y = 3
Toddler area to Concessions: y = (-1/3)x - 7
Gift Shop to Restrooms: y = -9
Security desk to Water Slide #2: y = 4
Lazy River to Large Whirlpool: y = (2/5)x + 61/5
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2. The speed of light is 1.08 x 10⁹ k/h. Express this in (a) SI units (b) millimetres per nanosecond
The speed of light is 1.08 x 10⁹ k/h Express this in SI units is 3 x 10⁸ m/s and in millimeters per nanosecond is 0.3 mm/ns.
How to calculate the speed of light in SI units and millimeters per nanosecond(a) To express the speed of light in SI units, we can convert kilometers to meters and hours to seconds.
1 km = 1000 m
1 h = 3600 s
Therefore,
1.08 x 10⁹ k/h = (1.08 x 10⁹) x (1000 m/km) / (3600 s/h) = 3 x 10⁸ m/s
So the speed of light in SI units is 3 x 10⁸ m/s.
(b) To express the speed of light in millimeters per nanosecond, we need to convert meters per second to millimeters per nanosecond.
1 m = 10⁶ mm
1 s = 10⁹ ns
Therefore,
3 x 10⁸ m/s = (3 x 10⁸) x (10⁶ mm/m) / (10⁹ ns/s) = 0.3 mm/ns
So the speed of light in millimeters per nanosecond is 0.3 mm/ns.
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4 (b+23) = 8b +23
What value of b makes the equation true? Enter the answer in the box.
Step-by-step explanation:
4b+92=8b+23
4b-8b=23-92
-4b=-69
b=69/4
Answer:
b=17.25
Step-by-step explanation:
Distribute the 4 (4b+92=8b+23)Subtract from each side (69=4b)Divide by 4 You can plug the number back in the solution to check (I have so you don't need to this time)A real-estate agent conducted an experiment to test the effect of selling a staged home vs. selling an empty home. To do so, the agent obtained a list of 10 comparable homes just listed for sale that were currently empty. He randomly assigned 5 of the homes to be "staged,” meaning filled with nice furniture and decorated. The owners of the 5 homes all agreed to have their homes staged by professional decorators. The other 5 homes remained empty. The hypothesis is that empty homes are not as appealing to buyers as staged homes and, therefore, sell for lower prices than staged homes. The mean selling price of the 5 empty homes was $150,000 with a standard deviation of $22,000. The mean selling price of the five staged homes was $175,000 with a standard deviation of 35,000. A dotplot of each sample shows no strong skewness and no outliers.
The agent tests H0: μ1 – μ2 = 0, Ha: μ1 – μ2 < 0, where μ1 = the true mean selling price of all comparable empty homes and μ2 = the true mean selling price of all comparable staged homes. Are the conditions for inference met for carrying out a t-test for a difference in means?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all of the conditions for inference have been met.
Yes, all of the conditions for inference have been met to carry out a t-test for a difference in means.
Three main conditions need to be satisfied: the random condition, the 10% condition, and the Normal/large sample condition.
The random condition is met because the real-estate agent randomly assigned the homes to be staged or empty. This ensures that the sample is representative of the population of comparable homes.
The 10% condition is met because the agent selected 10 comparable homes, and the sample of 5 staged and 5 empty homes represents less than 10% of the population of comparable homes.
The Normal/large sample condition is met because the dot plot of each sample shows no strong skewness and no outliers. Additionally, with a sample size of 5 for each group, the t-test can still be valid even if the population distributions are not exactly normal.
Therefore, all the conditions for inference have been met, allowing the real-estate agent to carry out a t-test for a difference in means and test the hypothesis regarding the selling prices of staged and empty homes.
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The graph below has the same shape as the graph of G(x) = x, but it is
shifted three units to the right. Complete its equation. Enter exponents using
the caret (-); for example, enter x4 as x^4. Do not include "G(x) =" in your
answer.
G(x) =
Step-by-step explanation:
The graph of Fx), shown below in pink, has the same shape as the graph of G(x)-x, but it is shifted to the right two units. Complete its equation below Enter exponents using the caret (a), for example, enter x as x 4. Do not include Fx)-in your answer. .5 5 F(x) = Answer: 0
The equation of the graph is,
⇒ G (x) = (x - 3)⁴
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The graph of function G (x) is shown in image.
Here, The graph is 3 units left to function F (x) = x⁴.
Hence, The equation of the graph is,
⇒ G (x) = (x - 3)⁴
Thus, The equation of the graph is,
⇒ G (x) = (x - 3)⁴
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Pam and Tina went for a 12 mile hike (round trip) to the top of a mountain. It took 5 hours. They were able to hike 1 mile per hour faster on the way down. How fast did they hike going up the mountain
Answer:
2 mph
Step-by-step explanation:
The relationship between time, speed, and distance is ...
time = distance/speed
If s is the speed going up the mountain, then s+1 is the speed coming down. The total trip time for 6 miles up and 6 miles down is ...
6/s +6/(s+1) = 5
6(s+1) +6s = 5(s)(s+1)
5s^2 -7x -6 = 0 . . . . subtract the left side, simplify to standard form
(s -2)(5s +3) = 0 . . . . factor
s = 2 or -3/5 . . . . values that make the factors 0
Their speed was 2 miles per hour going up the mountain.
__
Check
It took 6/2 = 3 hours to go up the mountain, and 6/(2+1) = 2 hours to come down, for a total of 5 hours.
Statistical data of breakdowns of computer XXX show that the duration for trouble-free operation of the machine can be described as a gamma distribution with a mean of 40 days and a standard deviation of 10 days. The computer is occasionally taken out for maintenance in order to insure operational condition at any time with a 95% probability.
1. How often should the computer be scheduled for maintenance? Should it be shorter or longer than the mean of 40 days?
2. Three XXX computers were acquired at the same time by an engineering consulting firm. The computers are operating under the same environment, workload, and regular maintenance schedule. The breakdown times between the computers, however, may be assumed to be statistically independent. What is the probability that at least one of the three machines will break down within the first scheduled maintenance time?
1. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.
2. Probability of no breakdowns = (reliability of a single machine)^3. Probability of at least one breakdown = 1 - Probability of no breakdowns
1. To determine how often the computer should be scheduled for maintenance, we need to consider the reliability and the desired level of operational condition. Since the duration for trouble-free operation follows a gamma distribution with a mean of 40 days, this means that, on average, the computer can operate for 40 days before a breakdown occurs.
To ensure operational condition with a 95% probability, we can calculate the maintenance interval using the concept of reliability. The reliability represents the probability that the machine will not break down within a certain time period. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.
Using the gamma distribution parameters, we can find the corresponding reliability for a specific time duration. By setting the reliability equation equal to 0.95 and solving for time, we can find the maintenance interval:
reliability = 0.95
time = maintenance interval
Using reliability and the gamma distribution parameters, we can calculate the maintenance interval.
2. To calculate the probability that at least one of the three machines will break down within the first scheduled maintenance time, we can use the complementary probability approach.
The probability that none of the machines will break down within the first scheduled maintenance time is given by the reliability of a single machine raised to the power of the number of machines:
Probability of no breakdowns = (reliability of a single machine)^3
Since the breakdown times between the machines are statistically independent, we can assume that the reliability of each machine is the same. Therefore, we can use the reliability calculated in the first part and substitute it into the formula:
Probability of at least one breakdown = 1 - Probability of no breakdowns
By calculating this expression, we can determine the probability that at least one of the three machines will break down within the first scheduled maintenance time.
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According to the graph of H(w) below, what happens when w gets very large?H)5.6.20.00)A. H(w) gets very large.B. H(w) approaches a vertical asymptote.C. H(w) equals zero.D. H(w) gets very smallSUBMIT
Considering the graph H(w),
As w gets larger, H(w) continues to approach a horizontal asymptote.
Hence, H(w) gets very small.
Therefore, the correct option is option D
Which of the following is the most likely the next step in the series?
Answer: C is the correct answer!I don't feel like explaining. sorry.Please let me know if I am wrong.
SOMEONE PLEASE ANSWER. I'M CRYING AND DONT KNOW WHAT TO DO! I NEED YOUR HELP PLEASE!
A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one half gallon of water is needed, and for every 5 scoops of mix, one and one fourth gallons of water are needed. Part A: Find the constant of proportionality. Show every step of your work. Part B: Write an equation that represents the relationship. Show every step of your work. Part C: Describe how you would graph the relationship. Use complete sentences. Part D: How many gallons of water are needed for 12 scoops of drink mix?
Below, you'll find a list of all the answers to the questions which are solved by using proportional relationship.
What is the fundamental formula for a straight line?The general equation for a straight line is y=mx + c, where m represents the line's slope and expresses the rate of change of y per unit time with respect to x.
The point where the graph crosses the y-axis is called the y-intercept, or c.
Direct proportionality is also represented by y = mx. We can express m as follows: m = y/x
OR
y₁/x₁ = y₂/x₂
In our cafeteria, lemonade is made using a powdered drink mix. The quantity of water required to manufacture a certain amount of powdered drink mix is proportional to the number of scoops required. For every 2 scoops of mix, 1/2 gallon of water is required, and for every 5 scoops,
1 1/4 gallons of water are required.
The proportional formula is written as y = k x.
Using the information provided, we can now write: 2 scoops require 0.5 gallon of water.
1.25 gallon of water is required for 6 scoops.
This means that k = 2/0.5
k = 2/(1/2)
k = 2 x 2
k= 4
Equations describing the relationship can be expressed as y = 4x + c.
0.5 gallon of water is now required for 2 scoops.
2=4(1/2)+c
2=2+c
c=0
Therefore, the formula will be y = 4x.
The end includes a graph for y = 4x.
12 scoops of water:
12=4x
x=3 gallons of water is needed.
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A bag contains orange, white, and purple marbles. If you randomly choose a marble from the bag, there is a 36% chance of drawing an orange marble and a 20% chance of drawing a white marble. Give the probability for purple
The probability of drawing a purple marble from the bag is 44%.
The probability of drawing a purple marble can be determined by subtracting the sum of the probabilities of drawing an orange and a white marble from 1, since these three events are mutually exclusive and exhaustive.
Given that there is a 36% chance of drawing an orange marble and a 20% chance of drawing a white marble, the sum of these probabilities is 36% + 20% = 56%.
To find the probability of drawing a purple marble, we subtract this sum from 100% (or 1):
1 - 56% = 44%.
Therefore, the probability of drawing a purple marble from the bag is 44%.
In summary, when randomly choosing a marble from the bag, there is a 36% chance of selecting an orange marble, a 20% chance of selecting a white marble, and a 44% chance of selecting a purple marble. These probabilities add up to 100%, ensuring that one of the three outcomes will occur.
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What does the digit 8 represent in 687,413?
Eight hundred thousand
Eight thousand
Eight hundred
O Eighty thousand
Answer:
Eighty thousand
Step-by-step explanation:
Look at the place value chart.