Answer:
A.
[tex]\dfrac{6}{55}[/tex]
B.
[tex]\dfrac{6}{55}[/tex]
C.
[tex]\dfrac{4}{165}[/tex]
Step-by-step explanation:
Dustin has a bag of marbles with 4 blue marbles, 4 white marbles, and 3 red marbles. There are 11 marbles in total.
A. The probability that the first marble drawn is blue marble is
[tex]\dfrac{4}{11},[/tex]
the probability that the second marble drawn is red marble is
[tex]\dfrac{3}{10}[/tex]
The probability that the first marble drawn is blue and the second is red is
[tex]\dfrac{4}{11}\cdot \dfrac{3}{10}=\dfrac{12}{110}=\dfrac{6}{55}[/tex]
B. The probability that the first marble drawn is red marble is
[tex]\dfrac{3}{11},[/tex]
the probability that the second marble drawn is white marble is
[tex]\dfrac{4}{10}[/tex]
The probability that the first marble drawn is red and the second is white is
[tex]\dfrac{3}{11}\cdot \dfrac{4}{10}=\dfrac{12}{110}=\dfrac{6}{55}[/tex]
C. The probability that the first marble drawn is blue marble is
[tex]\dfrac{4}{11},[/tex]
the probability that the second marble drawn is blue marble is
[tex]\dfrac{3}{10},[/tex]
the probability that the third marble drawn is blue marble is
[tex]\dfrac{2}{9},[/tex]
The probability that the first, second and third marbles drawn are blue is
[tex]\dfrac{4}{11}\cdot \dfrac{3}{10}\cdot \dfrac{2}{9}=\dfrac{24}{990}=\dfrac{4}{165}[/tex]
hello guys I need help with this multiple choice question <3
Answer:
fourth equation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 2y + 3x = 8 into this form
Subtract 3x from both sides
2y = - 3x + 8 ( divide all terms by 2 )
y = - [tex]\frac{3}{2}[/tex] + 4 ← in slope- intercept form
with slope m = - [tex]\frac{3}{2}[/tex]
Parallel lines have equal slopes, thus
y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (2, - 1) into the partial equation
- 1 = - 3 + c ⇒ c = - 1 + 3 = 2
y = - [tex]\frac{3}{2}[/tex] x + 2 ← equation of line
The PSU charges $2 for a package weighing up to 3 lbs, plus an additional fee of $0.15 per lb over 3lbs . what is the most a package can weigh that you plan to mail if you have 3 dollars ? (the nearest whole lb)
Please answer this asap for 15 pt
Answer:
Step-by-step explanation:
what is question that you whant my to answer
2 tens 1 one x 10 unit form
Convert 20 minutes to seconds
Step-by-step explanation:
60 seconds=1 minute
20 minutes=? seconds
60*20= 1,200
1,200 seconds=20 minutes
Hope this helps!!!
Brady
Answer:
20 min = 1,200 s
Step-by-step explanation:
[tex]1\ min=60\ s\\\\20\ min=20\cdot\underbrace{1\ min}_{60s}=20\cdot60\ s=1200\ s[/tex]
How do I write 1,948,447 In expanded notation
Answer:
Step-by-step explanation:1,000,000+900,000+40,000+8,000+400+40+7
Two stores sell the same computer for the same original price. Store A advertises that the computer is on sale for 25% off the original price. Store B advertises that it is reducing the computer’s price by $180. When Brittany compares the sale prices of the computer in both stores, she concludes that the sale prices are equal. What is the computer’s original price? Write and solve an equation.
Let the price of the computer = X
Store A is selling it for 25% off, so they are selling it for 75% of the original price, so you have 0.75X
Store B is selling it for 180 less the original price, so you have X - 180
Now set both equations to equal and solve for x:
0.75x = X-180
Subtract 1X from each side:
-0.25x = -180
Divide both sides by -0.25:
x = -180 / -0.25
X = 720
The original price is $720
check:
720 x 0.25 = 180
The original price of the computer is $720, calculated by setting the 25% sale price equal to the flat $180 discount and solving the resulting equation.
Brittany wishes to determine the original price of a computer based on the sale prices from two different stores. Store A offers a 25% discount while Store B offers a flat $180 discount. To find the original price when the sale prices are equal, we set up an equation.
Let the original price be represented by x. The sale price at Store A is therefore x - 0.25x or 0.75x. At Store B, the sale price is x - $180.
To find the original price when the sale prices are equal, we set the equations equal to one another:
0.75x = x - $180
We solve the equation by subtracting x from both sides:
0.75x - x = -$180
-0.25x = -$180
Then we divide both sides by -0.25 to solve for x:
x = -$180 / -0.25
x = $720
Therefore, the original price of the computer is $720.
Can you help I have tried 4 times
Answer:
5120oz/12=426.667 ounces.
Step-by-step explanation:
We know 1 pound = 16 oz. If we want to find out how many ounces are in 320 lbs, we must multiply 16 by 320 = 5120 ounces. Now we must divide by 12 to see how much she ate per month. 5120 divided by 12 is 426.667 or 426 and 2/3 ounces per month.
Alternatively, we can set up a proportion 1 lb / 16 ounces = 320 lb / x ounces. We cross multiply 1 times x = 320 times 15. On the left hand side we just have x and on the right hand side we get 5120. Hence, x=5120 ounces per year. To find how many she ate per month we must divide by 12 since there are 12 months in a year. So it comes out to 426 and 2/3 ounces per month.
Here are the equations: (1lb)(320lb)=(16oz)(320oz) implies 320lb=5120oz. Then divide 5120oz 12 to get how much she ate per month: 5120oz/12=426.667 ounces.
if $860 is invested for one year at 5% simple interest, how much interest is earned? (College Algebra)
Answer: $43
Step-by-step explanation: 860 x 0.05 = 43
please also help me on this one.
Answer: Maybe 8cm?
Step-by-step explanation:
you take 2cm and add it up with every shaded area
In your own words,explain why parentheses are important in problems involving more than one subtraction?
Answer:
parenthesis can be used to showthe order of what operations happen and the order they happen in, it helps break up confusion aswell that may occur within the equation
Answer:
Parentheses are important because they determine the order and priority of the operations.
Step-by-step explanation:
Parentheses when performing addition, subtraction, division or multiplication operations play a very important role. They tell us in which order we should go solving each of those operations.
If we do not respect this order, we can make the mistake of reaching an erroneous result.
The main thing is to always solve each parenthesis so that in the end everything is free to carry out the corresponding additions or subtractions.
what is 74 times 13
Answer:
962
Step-by-step explanation:
x times y simply refers to x multiply y, so 74 times 13 means 74*13 and
74*13 = 962
Answer:
The answer is 962.
WHAT IS 2(2X+5)-6(x+2) when simpified
Answer:
- 2x - 2
Step-by-step explanation:
Given
2(2x + 5) - 6(x + 2) ← distribute both parenthesis
= 4x + 10 - 6x - 12 ← collect like terms
= - 2x - 2
The equation y = 3.5x represents the rate, in miles
per hour, at which Laura walks.
The graph at right represents the rate at
which Piyush walks. Determine who walks
faster. Explain.
Answer:
Piyush walks faster than Laura
Step-by-step explanation:
we know that
The rate or speed is equal to the slope of the linear equation
Laura
y=3.5x
The slope is [tex]3.5\ \frac{mi}{h}[/tex]
Piyush
Determine the slope of the line
we have the points
(0,0) and (4,18)
The line represent a direct variation (because passes through the origin)
so
[tex]m=\frac{y}{x}[/tex]
For x=4 h, y=18 mi
substitute
[tex]m=\frac{18}{4}=4.5\ \frac{mi}{h}[/tex]
Compare the slopes
[tex]4.5\ \frac{mi}{h} > 3.5\ \frac{mi}{h}[/tex]
therefore
Piyush walks faster than Laura
Answer:
Piyush walks faster than Laura
Step-by-step explanation:
Piyush walks faster than Laura
Solve for x. 3x-(5-2x)=x-21
[tex]\text{Hello there!}\\\\\text{Solve for x:}\\\\3x-(5-2x)=x-21\\\\\text{Distribute the "-" to the numbers in the parenthesis}\\\\3x-5+2x=x-21\\\\5x-5=x-21\\\\\text{Subtract x to both sides}\\\\4x-5=-21\\\\\text{Add 5 to both sides}\\\\4x = -16\\\\\text{Divide both sides by 4}\\\\\large\boxed{x=-4}[/tex]
If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?
Final answer:
To find the expression representing segment PS, we add the expressions for segments PR (4x - 2) and RS (3x - 5) to get PS as 7x - 7.
Explanation:
The question asks us to determine the expression that represents the segment PS given the expressions for segments PR and RS. PR is given as 4x - 2 and RS is given as 3x - 5. To find the length of PS, we add PR and RS because PS is the sum of PR and RS when they form a continuous line segment. Therefore, PS is (4x - 2) + (3x - 5). Simplifying this expression, we get PS as 7x - 7.
Can you give me the answer please
Answer:
-5
Step-by-step explanation:
because -3 + 3 = 0 and 1 + 4 = 5 so your answer is -5
[tex]\huge\boxed{-5}[/tex]
Let's write this out as an equation. [tex]-3+3+1+4+t=0[/tex]
We know that when all of the scores are added together, they equal [tex]0[/tex]. In this case, [tex]t[/tex] represent's Travis's score.
Add the known numbers together. [tex]0+1+4+t=0[/tex]
[tex]1+4+t=0[/tex]
[tex]5+t=0[/tex]
Now, subtract [tex]5[/tex] on both sides of the equation to isolate the variable. [tex]t=\boxed{-5}[/tex]
solve the equation for x. interpret the answer in terms of the problem x+y-y=425-y
x+y-y=425-y
do y-y first
y-y= 0
x+0= x
Answer: x= 425 -y
The equation of algebra x +y- y=425-y simplifies to x = 425 - y. To find the value of x, you can substitute a given or specific value of y into the equation.
Explanation:To solve the equation, you adjust and remove variables until you can isolate x. In this case, the equation is x +y- y =425-y. Here, the y's on the left-hand side of the equation cancel out giving you: x = 425 - y.
Therefore, the solution for the value of x, given y, is x = 425 - y. Meaning, if we know the value of y we can substitute it in the equation to find the corresponding value of x.
To interpret the solution, we need to have context or a real world application related to the problem. Without context, the interpretation might not go beyond the mathematical expression that x is equal to 425 minus the value of y.
Learn more about Algebra here:https://brainly.com/question/24875240
#SPJ11
If A= (-1,-3) and B = (11,-8), what is the length of Ad?
Answer:
AB = 13Step-by-step explanation:
The formula of a distance between two points
[tex]A(x_1,\ y_1),\ B(x_2,\ y_2)\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have the points A(-1, -3) and B(11, -8).
Substitute:
[tex]AB=\sqrt{(-8-(-3))^2+(11-(-1))^2}=\sqrt{(-8+3)^2+(11+1)^2}\\\\=\sqrt{(-5)^2+12^2}=\sqrt{25+144}=\sqrt{169}=13\\\\\sqrt{169}=13\ \text{because}\ 13^2=169[/tex]
The two-way table shows the ages of the players on different soccer teams. A 6-column table has 4 rows. The first column has entries 8 years old, 9 years old, 10 years old, Total. The second column is labeled Team A with entries 4, 9, 2, 15. The third column is labeled Team B with entries 6, 4, 3, 13. The fourth column is labeled Team C with entries 8, 3, 5, 16. The fifth column is labeled Team D with entries 3, 7, 4, 14. The sixth column is labeled Total with entries 21, 23, 14, 58. Which statement is true? The probability that a randomly selected player on Team A is 8 years old is StartFraction 4 Over 21 EndFraction. The probability that a randomly selected 8-year-old player is on Team C is StartFraction 16 Over 21 EndFraction. The probability that a randomly selected player on Team C is 10 years old is StartFraction 5 Over 16 EndFraction. The probability that a randomly selected 10-year-old player is on Team B is StartFraction 13 Over 58 EndFraction.
Answer:
The true statement is: The probability that a randomly selected player on Team C is 10 years old is [tex]\frac{5}{16}[/tex].
Step-by-step explanation:
According to the table the total number of 10 years old players on Team C is 5 and the total number of all ages players (8, 9 and 10 years old) on Team C is 16, so the probability that a randomly selected player on Team C is 10 years old is 5/16.
The probability that a randomly selected player on Team C is 10 years old is 5/16.
What is Probability?This is defined as the numerical descriptions of how likely an event is to occur and is often measured in fraction.
Total number of 10 years old players on Team C = 5
Total number of all ages players (8, 9 and 10 years old) on Team C = 16
Therefore probability = 5/16
Read more about Probability here https://brainly.com/question/24756209
#SPJ5
Ella wrote AB = |-1 + 5| = 4. Explain Ella’s error
Answer:
Ella found the Sum instead of the difference between the Cordinates.
The value of AB is 4 and -4. Ella's forgot to include -4 in his solution
Given the expression solved by Ella expressed as:
AB = |-1 + 5| = 4
Since AB contains modulus sign, then the expression can either be a positive value or negative value.
If positive:
|-1 + 5|
= -1 + 5
= 4
If negative:
|-1 + 5|
= -(-1 + 5)
Expand
= 1 - 5
= -4
Hence the value of AB is 4 and -4. Ella forgot to include -4 in his solution.
Learn more here: https://brainly.com/question/11897210
Solve for x.
Enter your answer in the box
X=
Answer:
72°
Step-by-step explanation:
[tex] \frac{360}{5} = 72[/tex]
I know that this is not the correct formula for this type of problem, but since x is an acute angle, I found this answer a possibility.
I hope this is correct, and as always, I am joyous to assist anyone at any time.
What do users share on Wikipedia?
Well, ideally, the purpose of Wikipedia is to allow anyone to add information, therefore, in theory, allowing the information to be the most accurate it can be.
In practice though, it just allows people to vandalize the articles and spread fake information.
Answer:
information on many topics
Step-by-step explanation:
Is this a permutation or combination problem:
For a band camp, you can choose two or three roommates from a group of 25 friends. In how many ways can you choose?
Answer:
permutation is the correct one.
Reason: combination are used to calculate the number of possible selections of objects without regard to the order selected. "My fruit salad is a combination of apples, grapes, and bananas". No matter the order, it is still a fruit salad. - The friends cannot be repeated twice so it is not combination
Final answer:
The student needs to choose two or three roommates from a group of 25 friends for a band camp. It is a combination problem and the number of ways to choose can be calculated using the combination formula.
Explanation:
This is a combination problem. The student needs to choose two or three roommates from a group of 25 friends for a band camp. Since the order doesn't matter, it is considered a combination. To calculate the number of ways to choose, we use the combination formula.
The number of ways to choose two roommates can be calculated using the formula C(25, 2) = 25! / ((25-2)! * 2!), which simplifies to 300.
The number of ways to choose three roommates can be calculated using the formula C(25, 3) = 25! / ((25-3)! * 3!), which simplifies to 2,300.
What is the least common multiple (LCM) of 10 and 12?
Answer:
60
Step-by-step explanation:
Some people think this concept is confusing. Let's break it down. First, let's ask, what is a multiple?
We get a multiple of a number when we multiply it by another number other than zero. For example:
Multiples of 10: [tex]10, 20, 30, 40, 50, 60, 70, 80, 90, 100...[/tex]
Multiples of 12: [tex]12,24,36,48,60,72,84,96,108...[/tex]
The Least Common Multiple is the smallest multiple of the two numbers. The smallest multiple we see 10 and 12 have is 60.
Which of the following expressions are equivalent to (6.2+6.2)+9.4(6.2+6.2)+9.4left parenthesis, 6, point, 2, plus, 6, point, 2, right parenthesis, plus, 9, point, 4? Choose 2 answers: Choose 2 answers: (Choice A) A 6.2 + (6.2 + 9.4)6.2+(6.2+9.4)6, point, 2, plus, left parenthesis, 6, point, 2, plus, 9, point, 4, right parenthesis (Choice B) B -(-6.2+6.2)+9.4−(−6.2+6.2)+9.4minus, left parenthesis, minus, 6, point, 2, plus, 6, point, 2, right parenthesis, plus, 9, point, 4 (Choice C) C -(6.2+6.2)+9.4−(6.2+6.2)+9.4minus, left parenthesis, 6, point, 2, plus, 6, point, 2, right parenthesis, plus, 9, point, 4 (Choice D) D 9.49.49, point, 4 (Choice E) E 6.2-(-6.2-9.4)6.2−(−6.2−9.4)
Answer:
6.2 + (6.2 + 9.4) ⇒ A
6.2 - (-6.2 - 9.4) ⇒ E
Step-by-step explanation:
your welcome i hope you pass <3
The equivalent expressions are Choice A: 6.2 + (6.2 + 9.4) and Choice C: -(6.2 + 6.2) + 9.4.
How did we arrive at this assertion?Let's break down the expressions to see how they are equivalent:
Original expression: (6.2 + 6.2) + 9.4
Choice A: 6.2 + (6.2 + 9.4)
This is the same as the original expression because the parentheses ensure that the addition of 6.2 and 9.4 is done first before adding it to the first 6.2.
Choice C: -(6.2 + 6.2) + 9.4
Here, we have a negative sign in front of the expression (6.2 + 6.2). When we add a negative sign, it's equivalent to subtracting the expression from 0. So, -(6.2 + 6.2) is the same as (-6.2 - 6.2), which is then added to 9.4. This is also equivalent to the original expression.
In both Choice A and Choice C, the final result is the same as the original expression: (6.2 + 6.2) + 9.4.
learn more about equivalent expressions: https://brainly.com/question/2972832
#SPJ3
Which real number property is illustrated here? *
1 point
3* – 5 = – 5 * 3
o
Associative Property of Multiplication
O
Identity Property of Multiplication
Commutative Property of Multiplication
O
Commutative Property of Addition
Answer:
Commutative property of multiplication
A 60-foot monument casts a 25-foot shadow. How long is the shadow of a 4.5-foot-tall person
Answer:
1.875 feet
Step-by-step explanation:
The length of the shadow is proportional to the height.
25 / 60 = x / 4.5
Cross multiply and solve:
60x = (25)(4.5)
60x = 112.5
x = 1.875
The shadow is 1.875 feet long.
Final answer:
The shadow of a 4.5-foot-tall person would be 1.875 feet long.
Explanation:
The shadow of a 4.5-foot-tall person would be 1.875 feet long.
First, set up a proportion using the given information: Height of monument / Length of its shadow = Height of person / Length of their shadow
Plug in the values: 60 / 25 = 4.5 / x
Solve for x to find the length of the person's shadow: x = (4.5 * 25) / 60 = 1.875 feet
HELP will mark brainilest
The original price of a sound system is $1250. For one day only, the store is offering a frequent shopper discount of 35% on all merchandise. Which expressions can be used to find the discounted price of the sound system? Check all that apply.
0.35($1250)
$1250 + 0.35($1250)
0.65($1250)
$1250 – 0.35($1250)
Answer:
The answer to your question is $1250 - 0.35($1250)
Step-by-step explanation:
What is the slope of the line passing through the points (−1, 7) and (4, −1)?
−56
−2
−85
2
Hey!
------------------------------------------------
Formula: [tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
------------------------------------------------
Steps To Solve:
~Substitute
[tex]m = \frac{-1 - 7}{4 - (-1)}[/tex]
~Simplify
[tex]m = \frac{-8}{5}[/tex]
------------------------------------------------
Answer:
[tex]\large\boxed{C)~\frac{-8}{5} }[/tex]
------------------------------------------------
Hope This Helped! Good Luck!