A bag contains 3 red marbles, 4 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that both marbles drawn will be red?
Answers
Answer:
0.091
Step-by-step explanation:
So you have 12 marbles in all.
If you take out 1, there is a 1 / 3 chance that it is red.
If you take out the second one, there is a 3 / 11 chance it is red if the first one is red.
1 / 3 * 3 / 11 = 1 / 11
0.091
Related Questions
help my daughter Please. This is timed and she has 5 minutes left. No links please no links no links just the straight up answer.It is question 3. I will give brain list.
Answers
Answer:
a decagon is 36° and I'm not sure about the 20-gon sorry
Juan buys cheese from the local farmer's market. The graph below shows the cheese cost (in cents) versus its weight (in ounces).
Use the graph to answer the questions.
Answers
Answer:
Step-by-step explanation:
a. 35 cents
b. 35
has anyone taken the math kangaroo competition
and if so how should i prep theres not much material on it im currently in level 7-8
Answers
List the sample space for rolling a fair seven-sided die.
S = {1, 2, 3, 4, 5, 6, 7}
S = {1, 2, 3, 4, 5, 6, 7, 8}
S = {1}
S = {7}
Answers
The sample space for rolling a fair seven-sided die is S = {1, 2, 3, 4, 5, 6, 7}.
Given that,
A fair seven sided die is rolled.
We have to find the sample space of the rolling.
A sample space is a set of all the possible outcomes in a random experiment. It is usually denoted by the letter, S.
The subset of the sample space are events.
The die has the numbers marked from 1 to 7.
So when we roll the die,
The possible numbers are 1, 2, 3, 4, 5, 6, 7
Sample space = {1, 2, 3, 4, 5, 6, 7}
Hence the sample space is {1, 2, 3, 4, 5, 6, 7}.
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How do you find the distance between two points on the coordinate plane that are in different
quadrants?
Answers
greg wants to move out of his dormitory and into an apartment near his college. his parents agreed, on the condition that the rent is no more than 25% of the cost of dorm living. to get an idea of rent amounts for one-bedroom apartments, greg looks at listings in a local newspaper and on an internet site. which answer best describes the sample and population?
Answers
Out of a whole population, a sample is a small part which is considered for any survey.
The population in this case would be all the one-bedroom apartments available for rent near the college.
The sample would be the listings that Greg is looking at in the local newspaper and on the internet site.
Sample: listings in a local newspaper and on an Internet site
Population: all available apartments near the college
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in a circle, a sector with central angle is 225 degrees intercepts an arc of length 30pi in. find the diameter of the circle
Answers
The diameter of the circle is approximately 60 inches.
To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.
In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).
To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.
The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.
In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.
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The sides of a square increase in length at a rate of m/sec. a. At what rate is the area of the square changing when the sides are m long? b. At what rate is the area of the square changing when the sides are m long?
Answers
The rate at which the area of the square is changing when the sides are 'm' meters long is 2m^2 square meters per second.
To determine the rate at which the area of a square is changing, we can use the formulas for the area and differentiate with respect to time.
Let's denote the length of the sides of the square as 's' (measured in meters) and the rate at which the sides are increasing as 'm' (measured in meters per second).
a. To find the rate at which the area of the square is changing when the sides are 's' meters long, we differentiate the area formula with respect to time:
Area = s^2
Differentiating both sides with respect to time, we get:
d(Area)/dt = d(s^2)/dt
Using the power rule of differentiation, we have:
d(Area)/dt = 2s(ds/dt)
Substituting the given information, where ds/dt = m (rate at which the sides are increasing), we can write:
d(Area)/dt = 2s(m)
Therefore, the rate at which the area of the square is changing when the sides are 's' meters long is 2s(m) square meters per second.
b. If we specifically want to know the rate at which the area is changing when the sides are 'm' meters long, we substitute 's' with 'm' in the above equation:
d(Area)/dt = 2m(m)
Simplifying, we have:
d(Area)/dt = 2m^2
Therefore, the rate at which the area of the square is changing when the sides are 'm' meters long is 2m^2 square meters per second.
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L 4.6.3 Test (CST): Linear Equations
me.
OA. y+4= -3(x-3)
OB. y-4=-3(x+3)
OC. y-4=3(x+3)
OD. y+4=3(x-3)
(3,-4)
Answers
The correct option is OA. y+4= -3(x-3). L 4.6.3 Test (CST): Linear Equations Solution: We are given that a line passes through (3,-4) and has a slope of -3.
We will use point slope form of line to obtain the equation of liney - y1 = m(x - x1).
Plugging in the values, we get,y - (-4) = -3(x - 3).
Simplifying the above expression, we get y + 4 = -3x + 9y = -3x + 9 - 4y = -3x + 5y = -3x + 5.
This equation is in slope intercept form of line where slope is -3 and y-intercept is 5.The above equation is not matching with any of the options given.
Let's try to put the equation in standard form of line,ax + by = c=> 3x + y = 5
Multiplying all the terms by -1,-3x - y = -5
We observe that option (A) satisfies the above equation of line, therefore correct option is OA. y+4= -3(x-3).
Thus, the correct option is OA. y+4= -3(x-3).
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Please help as soon as possibleeeee
thank you so much.
I will give brainliest!
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A concession stand sells walking tacos for $3 each and boxes of popcorn for $1 each. Wayne has $10 to spend.
-----
The function y = 10 - 3x represents the number of walking tacos (x) and boxes of popcorn (y) that Wayne can buy.
----
Interpret the ordered pair ( 2 , 4 ).
--------------
1) Wayne can buy 2 walking tacos and 4 boxes of popcorn.
2) Wayne can buy 2 boxes of popcorn and 4 walking tacos.
3) None of the above
is it #1,2, or 3?
please only answer if you are sure
thanks again :)
Answers
Wayne can buy 2 walking tacos and 4 boxes of popcorn.
====================================================
Explanation:
x = number of tacos
y = number of boxes of popcorn
3x = amount spent on all the tacos only ($3 per taco)
1y = amount spent on all the popcorn only ($1 per box of popcorn)
3x+1y = total amount spent for both food types combined
3x+1y = 10 since Wayne has $10 to spend
The equation solves to y = 10-3x
------------------
If we plugged in x = 2, then,
y = 10-3x
y = 10-3*2
y = 10-6
y = 4
Telling us that x = 2 and y = 4 pair up together. The point (2,4) is on the line y = 10-3x
Since x is the number of tacos and y is the amount of popcorn, this means (x,y) = (2,4) indicates that:
Wayne can buy 2 tacos and 4 boxes of popcorn
This is why the answer is choice (1).
Choice (2) is incorrect because it has the numbers swapped in the wrong spots.
Is the expression 2 • 4x equal to the expression 8x?
Answers
Answer:
YESStep-by-step explanation:
\(2 . 4x =\\2 \times 4x\\\mathrm{Multiply\:the\:numbers:}\:2\times \:4=8\\\\= 8x\)
PLEASEEEE SOMEONE HELP I GIVE AS MUCH POINTS :’( Thank you!
Answers
The approximate area of the trapezoid is determined as 13.95 unit².
What is the approximate area of the trapezoid?The approximate area of the trapezoid is calculated as follows;
Area = ¹/₂(b₁ + b₂)h
Where;
b₁ and b₂ are the lengths of the parallel sidesh is the heightThe y-coordinates of the points on the curve at x=3/2 and x=4 is calculated as follows;
y(3/2) = - (3/2)²/2 + 3/2 + 5
y(3/2) = -9/8 + 3/2 + 5
y(3/2) = 5.375
y(4) = -4²/2 + 4 + 5
y(4) = -8 + 9
y(4) = 1
h = 5.375 - 1 = 4.375
The approximate area of the trapezoid is calculated as;
Area = ¹/₂(5.375 + 1) x 4.375
Area = 13.95 unit²
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Find the a7 in a geometric sequence which begins with 6,___, 96
Answers
Answer:
24576
Step-by-step explanation:
first find the 2nd term, u1 *u3 r u2^2
hence u2 = 24
then find the common ratio
24/ 6 = 96/24 = 4
now complete the formula
6 * 4^(n-1)
now sub in 7 for n
you get 24576
HELP ME RIGHT NOW ON THIS QUESTION
Answers
Answer:
The last one
Step-by-step explanation:
Find the distance between the skew lines P(t)=(−1,0,5)+t⟨−4,4,−3⟩ and Q(t)=(−1,−1,−5)+t⟨2,3,1⟩. Hint: Take the cross product of the slope vectors of P and Q to find a vector normal to both of these lines.
Answers
The distance between the skew lines P(t) and Q(t) is 21 / √(42) units
To find the distance between the skew lines P(t) and Q(t), we can use the concept of the shortest distance between two skew lines, which can be determined by calculating the distance between a point on one line and the nearest point on the other line.
Given the equations of the two lines:
P(t) = (-1, 0, 5) + t⟨-4, 4, -3⟩
Q(t) = (-1, -1, -5) + t⟨2, 3, 1⟩
To find the direction vectors of the lines, we take the coefficients of t:
Direction vector of P(t): ⟨-4, 4, -3⟩
Direction vector of Q(t): ⟨2, 3, 1⟩
Next, we can take the cross product of the direction vectors to find a vector normal to both lines:
n = ⟨-4, 4, -3⟩ × ⟨2, 3, 1⟩
Calculating the cross product:
n = ⟨-4, 4, -3⟩ × ⟨2, 3, 1⟩ = ⟨-1, -5, -4⟩
This vector n is perpendicular to both lines P(t) and Q(t).
To find the distance between the two lines, we can choose a point on one line (P(t)) and find the perpendicular distance between that point and the other line (Q(t)). Let's choose the point (-1, 0, 5) on line P(t).
The distance between the point (-1, 0, 5) and the line Q(t) is given by the formula:
Distance = |(Q(t) - (-1, 0, 5)) · n| / ||n||
Calculating the distance:
Distance = |((-1, -1, -5) + t⟨2, 3, 1⟩ - (-1, 0, 5)) · ⟨-1, -5, -4⟩| / ||⟨-1, -5, -4⟩||
Simplifying the equation and calculating the magnitude of the vector:
Distance = |(2, 3, 1) · ⟨-1, -5, -4⟩| / √(1^2 + 5^2 + 4^2)
Distance = |(-2 - 15 - 4)| / √(42)
Distance = |-21| / √(42)
Distance = 21 / √(42)
Therefore, the distance between the skew lines P(t) and Q(t) is 21 / √(42) units.
In conclusion, the distance between the skew lines P(t) and Q(t) is 21 / √(42) units.
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-3.9 + v < -5.2 Solve the inequality for v.
Simplify your answer as much as possible.
Answers
Answer:
v<-1.3
Step-by-step explanation:
Add 3.9 to -5.2
v<-1.3
Hope this helped!
Wanda sews small and large gloves. It takes her 45 minutes to sew a small pair of gloves and 120 minutes to sew a large pair of gloves. The costs of producing the gloves are $2 for a small pair and $4 for a large pair. Wanda has 16 hours available to sew gloves. The materials to make the gloves must cost at most $40. The system of linear inequalities represents this situation.
{45x+120y≤9602x+4y≤40
Answers
The points represent that Wanda should sew 16 small gloves and 2 pairs of large gloves to maximize the profit.
What is linear inequality?The mathematical expression for inequality states that neither side is equal. In mathematics, inequality occurs when the relationship results in a non-equal comparison between two expressions or numbers. Any of the inequality symbols, such as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), or not equal to (≠), can take the place of the equal sign "=" in this expression.
Given Wanda sews small and large gloves,
time for small gloves = 45 minutes
time for large gloves = 120 minutes
total time = 16 hours = 960 minutes
let x be the number of small gloves and y be the number of large gloves,
inequality equation is 45x + 90y ≤ 960
and cost of small gloves = $2
cost of large gloves = $4
total amout = $40
equation 2x + 4y ≤ 40
and the points (16, 2)
the points explain they are the minimum quantity of small and large gloves to maximize the profit the number of small gloves should not be less than 16 and the number of large gloves should not be less than 2.
Hence points (16, 2) explain the values of x and y.
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the complete question is in image.
The list below shows all of the possible outcomes for flipping four coins.
HHHH
HHHT
HHTH
HHTT
HTHH
HTHT
HTTH
HTTT
THHH
THHT
THTH
THTT
TTHH
TTHT
TTTH
TTTT
What is the probability of getting the same number of heads and tails?
StartFraction 1 over 8 EndFraction
One-fourth
StartFraction 3 over 8 EndFraction
Three-fourths
40 points
Answers
Answer:
3/8
Step-by-step explanation:
Answer:
C: 3/8
Step-by-step explanation:
edg2021
There are a total of 16 outcomes, and 6 of them have equal heads and tails. Simplify and its 3/8
An artist is going to cut four similar right triangles from a rectangular piece of paper like the one shown to the right. What is BE to the nearest tenth when AC=13
Answers
The measurement of altitude BE is 4 unit.
What is an altitude?As the average level of the sea's surface, sea level is used to measure altitude. A high altitude is defined as being significantly higher than sea level, such as Mount Everest. It is referred to as having a low altitude when something is closer to the ground, like a plane coming in to land.
As ABCD is rectangle
AD = BC = 12
ΔABC = ΔBCD
BE = FD
5² = 3²+BE²
AE = 3
BE = √(5²-3²)
BE = 4
Thus, The measurement of altitude BE is 4 unit.
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what is the value of k? k= …..
please help quick
Answers
180 - 115 = 65
4k + 5 + 6k + 10 + 65 = 180
10k + 80 = 180
10k = 100
k = 10
What is 1/3 + 1/2 = ???
Answers
Explanation: 1/3 plus 1/2 would be 5/6. 1/3 = 2/6. 1/2 = 3/6. 2/6 + 3/6
Answer:
5/6
Step-by-step explanation:
To do this you just have to find the LCM (least common multiple)
2 3
4 6
6
And the denominator will be 6 and you multiply 1 /3 by 2/2 and 1/2 by 3/3 which is 2/6 and 3/6 and when added you get 5/6
you are selling oranges for $3 per pound. in a given day, you sell 100 pounds of oranges. what was your total revenue for that day?
Answers
Answer: $300
Step-by-step explanation:
To calculate the total revenue from selling oranges, we need to multiply the amount of oranges sold by the price per pound.
In this case, we sold 100 pounds of oranges at $3 per pound. So, the total revenue for that day is:
Total revenue = Amount of oranges sold × Price per pound
Total revenue = 100 pounds × $3
Total revenue = $300
Solve the triangle. Round each angle to the nearest degree and round each side to the nearest hundredth. Do not use rounded answers In Your calculations to find missing measures
Answers
Rounded answers In Your calculations to find missing measures is given below.
Given: a = 8.72, b = 11.1, c = 11.7
Using the Law of Cosines, we can calculate angle A:
A = arccos((b2 + c2 - a2)/2bc)
A = arccos((11.12 + 11.72 - 8.722)/(2*11.1*11.7))
A = arccos(2.61/265.57)
A = arccos(0.00984)
A = 89.8°
Using the Law of Sines, we can calculate angle B:
Using the Law of Cosines, we can calculate side c:
c2 = a2 + b2 - 2abcos(C)
c2 = 8.722 + 11.12
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Solve the equation.
2x+3-2x = -+²x+5
42
If necessary:
Combine Terms
Apply properties:
Add
Multiply
Subtract
Divide
Answers
The solution to the equation is -1.5 or -3/2.
How to solve equations?We have the equation:
x² + 3-2x= 1+ x² +5
Combine Terms and subtract x² from both sides:
x² - x² + 3 -2x = 1 + 5 + x² - x²
3 -2x = 1 + 5
Add:
3 -2x = 6
Combine Terms and subtract 3 from both sides:
-2x + 3 -3 = 6 - 3
-2x = 3
Dividing by -2 we get:
x = 3/(-2)
x = -3/2
x = -1.5
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Please help with this
Answers
Answer:あなたが言うことができるならば、答えは77番目の答えです
Step-by-step explanation: 3
Answer:
103 degrees
Step-by-step explanation:
Since it is a straight line all you have to do is subtract 180 from 77(which is the angle that you know.) If you feel that this helped please give brainliest. Have a nice day!
Due in 3 mins !! 3 questions Triangle ABC, is rotated 90° counter clockwise about the origin to make triangle A'B'C. Drag and drop the coordinates to describe the transformation !! ( picture!)
Answers
Answer:
A'=(3,-2) B'=(-1,-4) C'=(-5,-3)
Step-by-step explanation:
90 degrees counterclockwise uses (-y,x) so you just plug in the negative y value in the x spot and the x value in the y spot
Amanda teaches violin lessons for $21.30 per hour. How many hours of lessons must Amanda give to make no less than $894.60?
No less than 42 lessons
No less than 35 lessons
No less than 45 lessons
No less than 33 lessons
Answers
Answer:
No less than 42 lessons
Step-by-step explanation:
To find the total numbers of hours needed to teach, divide the total amount of money needed by the amount of money made an hour.
$894.60/$21.30 = 42
Josh is building a patio in his backyard. The length is 8 ft and the width is
12 feet. Find the area of his patio.
PLEASE HELP ASAP
Answers
Answer:
96 ftsq
Step-by-step explanation:
Assuming the patio is a rectangle, the area is length times width. 8 times 12 is 96
Answer:
9216 sq feet
Step-by-step explanation:
So, if his patio is, let's say, rectangle. The area is WIDTH X HEIGHT X WIDTH X HEIGHT.
your equation would be 12 x 8 x 12 x 8. You plug this into the calculator; the answer above is what you will get.
What fraction in this list is more than 3/5? 20/100, 6/10, 1/2, 2/12 or 2/3?
Answers
Answer: 2/3
Step-by-step explanation:
We will turn all of these fractions into decimals by dividing to compare them easier.
3/5 ➜ 0.6
20/100 ➜ 0.2
6/10 ➜ 0.6
1/2 ➜ 0.5
2/12 ➜ 0.16666
2/3 ➜ 0.6666
0.6666 > 0.6, so 2/3 > 3/5
This means our answer is 2/3
student can work no more than 23 hours
per week.
2. The tutoring center requires that each
tutor spend at least two hours per week
tutoring.
3. The tutoring center requires that each
tutor spend no more than seven hours pers
week tutoring.
Answers
Answer:
See below ~
Step-by-step explanation:
We need to represent the situations as inequalities.
===============================================================
Students can work no more than 23 hours per week
⇒ Let the hours per week be x
⇒ 'no more than' refers to less than or equal to (≤)
⇒ x ≤ 23
=============================================================
Tutors are required to spend at least 2 hours per week
⇒ At least refers to greater than or equal to (≥)
⇒ x ≥ 2
============================================================
Tutors should spend no more than 7 hours per week
⇒ As mentioned before, no more than refers to less than or equal to (≤)
⇒ x ≤ 7
ae need inequalities
#1
No more than means maximum
h≤23#2
At least means minimum
h≥2#3
No more than is maximum
h≤7