Answer: C.
Step-by-step explanation: If I am wong I am sorry !
Probability of drawing two tiles from the bag one after the other and not replaced that is P(B/A) is equals to \(\frac{1}{2}\).
What is probability?" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes."
Formula used
Conditional probability ' P(B/A)' = P(A∩B) / P(A)
According to the question,
Total number of tiles = 15
Number of while tiles represented by 'A' = 3
Number of purple tiles represented by 'B' = 7
Number of black tiles= 5
Total number of outcomes = 15 × 14
= 210
Favourable outcome for A = 3 × 14
= 42
Favourable outcomes for A∩B = 3 × 7
= 21
Probability of A
'P(A)' = \(\frac{42}{210}\)
Probability of A∩B
'P(A∩B)' = \(\frac{21}{210}\)
Substitute the value in the conditional probability we get,
Probability for P(B/A) = \(\frac{\frac{21}{210}}{\frac{42}{210} }\)
= \(\frac{1}{2}\)
Hence, Option(D) is the correct answer.
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AX and EX are secant segments that intersect at point X.
What is the length of DE?
1 unit
3 units
4.5 units
4 2/3 units
Answer:
DE=4
Step-by-step explanation:
got it right on edg
The length of DE is given as: 3 Units. (Option B)
A line that joins two points on a curve is called a Secant Line.
What is the Secant Theorem?
Two secant theorem states that if two secant lines are drawn from a point outside a circle a relationship is formed between the line segments.
How do we arrive at the length of DE?Based on the Secant Theorem, from the figure, we know that:
AX * BX = EX * DX
Assuming that the length of DE equals X,:
AX * BX = EX * DX
Equals
(7+2) X (2) = (x + 3) (3)
To solve for x we expand the brackets to state:
9 * 2= 3x + 9
3x = 18-9
3x= 9
x = 9/3
X which is same as DE = 3 Units.
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find the curve that describes the level curve of value c of the surface z = f ( x , y ) = x 2 4 y 2 25 = c where c < 0 .
There is no curve that describes the level curve of value c for the given surface, as the condition c < 0 makes it impossible to find a real solution.
In two- or three-dimensional space, a curve is a mathematical object that symbolises a continuous, smooth path. Curves can be derived from geometric operations, parametric equations, or mathematical equations. They are commonly used to simulate real-world processes in physics, engineering, mathematics, and many other disciplines.
To find the level curve of value c for the given surface \(z = f(x, y) = (x^2/4) + (y^2/25) = c\), where c < 0, follow these steps:
Step 1: Write down the equation of the surface.
\(z = f(x, y) = (x^2/4) + (y^2/25)\)
Step 2: Replace z with the constant c.
\(c = (x^2/4) + (y^2/25)\)
Step 3: Rearrange the equation to isolate \(y^2\).
\(y^2 = 25(c - (x^2/4))\)
However, note that we're given that c < 0. This means that the value inside the parentheses (c - (\(x^2/4\))) must also be negative. Since y^2 can't be negative, there's no real solution for this equation.
In conclusion, there is no curve that describes the level curve of value c for the given surface, as the condition c < 0 makes it impossible to find a real solution.
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If the divisor is 60, what is the least four-digit dividend that would not have a remainder?
Answer:
2400
which is not having any remainder as 2400÷60=40
Step-by-step explanation:
John Paul gave the cashier $50 to pay for 8 bags of apples. The cashier gave him $17.44 in change. What is the cost in dollars and cents for each bag of apples?
Answer:
$4.07 per bag
Step-by-step explanation:
Answer:
$4.07 per bag
Step-by-step explanation:
Trust me on this one. I just got a 100
( PLEASE HELP! WILL GIVE BRAINLIEST )
Mrs.Gomez is buying a triangular table for the corner of her classroom. The side lengths of the table are 5 feet, 3 feet, and 2 feet.
Is this triangular table a right triangle?
o A. Yes, because 2 + 3 = 5
o B. No, because 2^3 + 3^2 > 5^2.
o C. Yes, because 2^2 + 3^2 = 5^2.
o D. No, because 2^2 + 3^3 ≠ 5^2.
Answer:
¤ A. Yes, because 2 + 3 = 5
Step-by-step explanation:
Good Luck
Answer:
the answer is D
Step-by-step explanation:
2^2+3^2=4+9
=13
5^2=25
Therefore 2^2+3^2≠5^2
BTW I'm not sure if 3^3 was supposed to be 3^2 but D is the only answer that fits most
Graph the relation thank u and have a nice day
Answer:
first relation is correct
So option A is correct.
find the center of mass of the portion of the disk in the first quadrant, x 2 y 2 = 36 x2 y2=36 where the mass is given by rho ( x , y ) = 10 y √ x 2 y 2 rho(x,y)=10yx2 y2 . ¯ x x¯ = ¯ y y¯
The center of mass of the portion of the disk in the first quadrant, x^2+y^2=36, with mass density ρ(x,y) is 10yx/√(x^2+y^2), is (14.4, 2.9).
To find the center of mass (CM) of the given portion of the disk, we need to first find the mass and the coordinates of the centroid.
Firstly, Find the mass of the portion of the disk. The mass of the portion of the disk can be found using double integrals
m = ∬R ρ(x,y) dA
where R is the region in the first quadrant defined by
x^2 + y^2 <= 36 and x >= 0, and ρ(x,y) = 10y√(x^2+y^2).
Using polar coordinates,
m =\(\int\limits^0_\(pi /2\) \(\int\limits^0_6\) 10r^2sinθ dr dθ
= 450π
Therefore, the mass of the portion of the disk is 450π.
Now, Find the coordinates of the centroid. The coordinates of the centroid can be found using the following formulas
x¯ = (1/m) ∬R x ρ(x,y) dA
y¯ = (1/m) ∬R y ρ(x,y) dA
Using polar coordinates again to evaluate the integrals
x¯ = (1/m) \(\int\limits^0_\(pi /2\) \(\int\limits^0_6\) 10r^3sin^2θ dr dθ
= 72/5
y¯ = (1/m)\(\int\limits^0_\(pi /2\) \(\int\limits^0_6\) 10r^3sinθcosθ dr dθ
= 144/5π
Therefore, the coordinates of the centroid are (x¯, y¯) = (72/5, 144/5π).
Hence, the center of mass of the portion of the disk in the first quadrant is located at (x¯, y¯) = (14.4, 2.9).
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X 2 4 6 8 10
Y 1, 3, 5 , 7, 9
(a) Is it a function?
(b) Domain:
(c) Range:
Answer:B
Step-by-step explanation:
The ratio of boys to girls in Ella’s grade is 3 to 4.
The ratio of boys to girls in Minh’s grade is 4 to 5.
Each grade has a total of 20 girls.
Choose True or False for each statement below.
Ella’s grade has more boys than Minh’s grade.
Minh’s grade has more boys than Ella’s grade.
Ella’s grade has 15 boys.
Minh’s grade has 8 boys.
Answer:
Minh's grade has less boys than Ella's
What is the volume of this rectangular prism?
16 cubic centimeters
96 cubic centimeters
160 cubic centimeters
192 cubic centimeters
Answer:
The volume of this rectangular prism is 96 cubic centimeters
Step-by-step explanation:
The volume of a rectangular prism = Length × width × height
= 8 × 6 × 2
= 96 cubic centimeters
Write an absolute value equation representing all numbers x whose distance from 8 is 6 units.
The absolute value equation representing all numbers x whose distance from 8 is 6 units will be x = {2, 14).
How to illustrate the information?Based on the information given, it should be noted that the distance of x, positive or negative from 8 can be expressed as |x - 8|.
Since the distance is equal to 6, our equation will be:
|x - 8| = 6
x = 8 + 6 = 14
or
- |x - 8| = 6
-x + 8 = 6
-x = 6 - 8
-x = -2
x = 2
Therefore, the appropriate equation is x = {2, 14).
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SOMEONE PLEASE HELP!! ILL GIVE BRAINLY TO CORRECT ANSWER!!
Answer:
what are the answer choices
Step-by-step explanation:
I need help with my work
Answer:
1. acute angle (less than <90)
2. right angle (approximately <90)
3. obtuse angle (more than <90)
4. acute angle (less than <90)
Which letters from the table represent like terms? A and B B and C A and D B and D.
The letters can be added together if they have similar variables.
B and C are like terms. Option B shows the like terms of letters.
What is a binomial?A mathematical expression consisting of two terms connected by a plus sign or minus sign is called the binomial expression.
The attachment shows the table of letters and variables.
To multiply binomials, a form of the distributive property is used.
The table has been complete with the final values of letters which are given below.
\(A= (-2x) \times 4x\)
\(A = -8x^2\)
\(B = 3 \times 4x\)
\(B = 12 x\)
\(C = (-2x)\times 1\)
\(C = -2x\)
\(D = 3\times 1\)
\(D = 3\)
From the final values of letters, B and C are the only like terms, they can be added together since they have similar variables.
Hence we can conclude that B and C are like terms. Option B shows the like terms of letters.
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Answer:B
Step-by-step explanation:
took the test
The eleventh term of an AP is four times the second term. If the sum of the first seven terms of the AP is 175, find the first term and the common difference.
Step-by-step explanation:
a11 = 4 × a2
a + 10d = 4 × (a + d)
a + 10d - 4d = 4a
a + 6d = 4a
6d = 4a - a
6d = 3a
(6/3)d = a
2d = a ----- eq. 1
now, sum of 7 terms = s7 = 175
7/2 {2a+6d} = 175
7/2 { (2 × 2d ) + 6d} = 175
7 ( 4d + 6d ) = 175 × 2
7 ( 10d ) = 350
70d = 350
d = 350/70
d = 5
Now from eq. 1,
2d = a
2(5) = a
a = 10, d = 5
THANK YOU........
What is the solution to the system of equations?
5
5
5.
OA. (4,-1)
y=x+3
5
y=-x+5
Answer:
C
Step-by-step explanation:
the solution is at the point of intersection of the 2 lines.
the lines intersect at (1, 4 ) , then
solution to the system of equations is (1, 4 )
7 orders in 1 day =____ orders in 2 days
Answer:14 in 2 days
Step-by-step explanation:
If I have a room that is 4 by 4 , and I am pucrchasing tiles that are 1/3x1/3, calculate the number of tiles needed to cover the area in square meters. Show math please The room is in sqaure meters, and the tiles are in meters
Answer:
144 tiles
Step-by-step explanation:
The room is \(16cm^{2}\) because 4 by 4 is 4 x 4 = 16.
Each tile is \(\frac{1}{9}\) because \(\frac{1}{3}\) x \(\frac{1}{3}\) = \(\frac{1}{9}\).
So we must do 16 ÷ \(\frac{1}{9}\) = 144
So 144 tiles are needed.
Solve the following pair of equations for the vectors u and v. Assume i = (1,0) and j = (0;1).
the solution to the pair of equations is u = (1,1) and v = (1,0).
u + 3v = (2,1)
3u + v = (3,2)
u = (1,1) and v = (1,0)
The first equation can be written as:
u + 3v = (2,1)
We can rewrite this equation as:
u + 3(1,0) = (2,1)
By substituting the values of i and j, we can solve for u:
u + (3,0) = (2,1)
u = (2-3,1) = (-1,1)
Now, we can substitute the value of u in the second equation:
(1,1) + v = (3,2)
By subtracting (11) on both sides, we can solve for v:
v = (3-1,2-1) = (2,1)
Therefore, the solution to the pair of equations is u = (1,1) and v = (1,0).
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14. 6 • _____ = 3 • ____
Answer: 143°
Step-by-step explanation:
140+146=286
360-286=74
74/2=37
vertical angles are equal so using supplementary angles or vertical angle rule I can prove the angle labeled x is 143°
Radishes costs $5 per pound, and beet cost $1.25 per pound. Sasha has $20 to spend on these items to make a large salad for a potluck dinner. Let b be the number of pounds of beets Sasha buys and r be the number of pounds of radishes she buys when she spends all her money on this salad.
The equation will be 5r + 1.25b = 20. This represents the beef and radishes to buy.
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
Radishes costs $5 per pound, and beet cost $1.25 per pound. Sasha has $20 to spend on these items to make a large salad for a potluck dinner.
Let b = number of pounds of beets Sasha buys.
Let r = number of pounds of radishes she buys when she spends all her money on this salad.
The equation will be 5r + 1.25b = 20
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Complete question
Radishes costs $5 per pound, and beet cost $1.25 per pound. Sasha has $20 to spend on these items to make a large salad for a potluck dinner. Let b be the number of pounds of beets Sasha buys and r be the number of pounds of radishes she buys when she spends all her money on this salad. Illustrate the equation
What is the value of 7(4 + x) when x = 5?
Answer:
7(4+x)
when x = 5
7(4+5)
28+35 = 63
w÷5+w for w=20
Please help me?!!
Answer:
24
Step-by-step explanation:
20 divided by 5 = 4
4 +20 = 24
Three divers went scuba diving in the ocean for a couple of hours. The table shows how much oxygen they had left in their oxygen tanks.
Diver Oxygen (liters)
Alexis seventy nine over eighth
Dante 9.3
Sofia nine and eight over fifteenth
Place the divers in order from least to greatest based on the number of liters left in their oxygen tank.
Sofia, Dante, Alexis
Alexis, Sofia, Dante
Dante, Alexis, Sofia
Dante, Sofia, Alexis
The divers in order from least to greatest based on the number of liters left in their oxygen tank will be Alexis, Dante, and Sofia. The correct answer is B.
What is ascending order?In mathematics, placing numbers in ascending order refers to doing so from least to largest from left to right. When numbers are arranged in ascending order, they are done so from least to largest.
Given that three divers went scuba diving in the ocean for a couple of hours. The table for the oxygen requirement is given below:-
Diver Oxygen (liters)
Alexis Seventy nine over eighth
Dante 9.3
Sofia Nine and eight over fifteenth
The Numbers are:-
Alexis ( Seventy nine over eighth) = 79 / 9 = 8.78
Dante = 9.3
Sofia ( Nine and eight over fifteenth ) = 9(9/15} = 9.6
The arrangement from least to highest will be Alexis, Dante, and Sofia.
The correct options are given below:-
Sofia, Dante, Alexis
Alexis, Dante, and Sofia.
Dante, Alexis, Sofia
Dante, Sofia, Alexis
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Answer:
Dante, Alexis and Sofia
Step-by-step explanation:
please tell me if I'm wrong but I'm positive its Dante, Alexis and Sofia
2. Which inequality represents all solutions of -3b-52-6b - 13.
Ob26
Ob>-8/3
O b s8/3
Obs6
Answer:
b≥ - 8/3
Step-by-step explanation:
-3b-5≥-6b - 13.
Add 6b to each side
-3b+6b-5≥-6b+6b - 13
3b-5≥ - 13
Add 5 to each side
3b-5+5≥ - 13+5
3b≥ - 8
Divide by 3
3b/3≥ - 8/3
b≥ - 8/3
Some help please I will give points
Given the scatter plot, choose the function that best fits the data.
(see attached picture for scatter plot)
OPTIONS:
f(x) = 4x
f(x) = -4x
f(x) = 4x²
f(x) = 4 raised to the power of ''x''
WILL GIVE BRAINLIEST TO FIRST AND MOST CORRECT ANSWER!!! ANSWER ASAP
PlZ HELP WILL GIVE BRAINLIEST .....THANKYOU
Answer: 3/4
Step-by-step explanation:
Slope formula is y2-y1 / x2-x1 or in this case 7-4 / 1--3 which equals = 3/4
Answer:
m=3/4
Step-by-step explanation:
At a certain intersection, the light for eastbound traffic is red for 15 seconds, yellow for 5 seconds, and green for 30 seconds. What is the probability that the light is red? Using the binomial distribution, what is the probability that out of the next eight eastbound cars that arrive randomly at the light, exactly three will be stopped by a red light?
a)P(red)=.15,P(exactly3getstopped)=.08
b)P(red)=.15,P(exactly3getstopped)=.97
c)P(red)=.3,P(exactly3getstopped)=.8
d)P(red)=.3,P(exactly3getstopped)=.25
The Probability of red light is 0.3
P(red) = 0.3
The probability that out of the next eight eastbound cars that arrive randomly at the light, exactly three will be stopped by a red light be 0.25.
P(exactly three get stopped by red light)=0.25
The correct option is (d) P(red)=.3,P(exactly 3 get stopped)=.25
What is Binomial distribution?
A binomial distribution can be thought of as simply the probability of a SUCCESS or FAILURE outcome in an experiment or survey that is repeated multiple times.
The occurrence,
Red light= 15 sec, Yellow light= 5 sec, Green light= 15 secp= probability of a red light
=\(\frac{15}{15+5+30}\)
= \(\frac{15}{50}\)
= 0.3
Hence, Probability of getting red light be,
P (red)= 0.3
Now, the Binomial distribution formula,
Probability=( \(_r^nC\))\(\;p^{r} \;q^{n-r}\)
where, r = number of times for a specific outcome within n trials
\(_r^nC\) = number of combinations
p = probability of success on a single trial
q = probability of failure on a single trial
n = number of trial
According to question,
r= 3 (Exactly three)n=8 (eight eastbound)p(red) =0.3q= 1 -p= 1- 0.3
= 0.7
Now using the formula, ( \(_r^nC\))\(\;p^{r} \;q^{n-r}\)
P( exactly 3 get stopped) = ( \(_3^8C\))\(\;(0.3)^{3} \;(0.7)^{8-3}\)
= \(\frac{8!}{3!(8-3)!}\) \((0.027) \; (0.7)^{5}\)
= \(\frac{8!}{3!(5)!}\)\((0.027) \; (0.16807)\)
= \(\frac{8 * 7 * 6 }{3 * 2}\) x 0.027 x 0.16807
= 56 x 0.00453789
= 0.25412184
≈ 0.25
Hence, Probability of next eight eastbound so that exactly three will stopped by a red light be 0.25.
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Ray bd bisects angle abc. To prove angle abd and angle cbd are congruent using a proof by contradiction, what is the assumption statement that starts the proof? angle abd and angle cbd are adjacent angles. Angle abd and angle cbd are supplementary angles. Angle abd and angle cbd are not complementary. Angle abd and angle cbd are not congruent.
To prove angle abd and angle cbd are congruent using a proof by contradiction, the assumption statement that starts the proof is Angle abd and angle cbd are not congruent.
What is proof by contradiction?Proof by contradiction is a technique used in logic and mathematics to verify the truth or validity of a claim by demonstrating how presuming the proposition to be incorrect results in a contradiction.
A proof by contradiction first starts with the negation, or opposite of the hypothesis.
In context of the problem, the proof by contradiction will start by the opposite . Since we are to prove that angle abd and angle cbd are congruent, the opposite is Angle abd and angle cbd are not congruent.
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