Two bags, A and B, each contain only green marbles and red marbles.
There are 6 green marbles and 4 red marbles in bag A.
There are 8 green marbles and 2 red marbles in bag B.
One marble is going to be taken at random from bag A and placed in bag B.
A marble is then going to be taken at random from bag B.
Work out the probability that this marble will be a green marble.
Using it's concept, it is found that there is a 0.7818 = 78.18% probability that this marble will be a green marble.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
There are two ways to end up with a green marble selected.
Green in bag A(6/10 probability) and in bag B(9/11 probability).Red in bag A(4/10 probability) and green in bag B(8/11 probability).Hence, the probability that this marble will be a green marble is given by:
[tex]p = \frac{6}{10} \times \frac{9}{11} + \frac{4}{10} \times \frac{8}{11} = \frac{54 + 32}{110} = 0.7818 = 78.18\%[/tex]
More can be learned about probabilities at https://brainly.com/question/14398287
If a bicyclist travels at 15 km/, how long will it take her to travel 50 km?
A. 6 h
B. 3.33 h
C. 450 h
D. D 0.3 h
Answer:B
Step-by-step explanation: Distance covered = speed × time
Time = Distance /speed = 50/3
Which statement is not true about the data set shown?
Arrange from greatest to least the regions whose populations have 9 as the power
Answer:
i dont know
Step-by-step explanation:
which of the segments below is a radius?
Answer:
OZ
Step-by-step explanation:
radius goes from the circle center point, outward.
Answer: OZ, OK, OG
Step-by-step explanation: each of these segments have a connection directly from the center of the circle to the edge of the circle
Which expression represents these words?
6 less than the quotient of 36 and 4
(36−4)+6
(36−4)−6
364+6
364−6
Answer:
[tex]\frac{36}{4} -6[/tex]
Step-by-step explanation:
the quotient of 36 and 4 is:
[tex]\frac{36}{4}[/tex]
Mathematically we write 6 less than 36/4 like this :
[tex]\frac{36}{4} -6[/tex]
Select the two values of x that are roots of this equation.
x2 - 5x+ 3 = 0
-
A. X
5+ 13
=
N
IB=
B. x = 5+y87
37
2
O
C.
5 - 13
X =
2
D. X =
5 - 37
N
Answer:
A. and C.
Step-by-step explanation:
1. Plug in the values of a, b, and c into the quadratic formula:
[tex]x= \frac{-(-5)+-\sqrt{(-5)^{2}-4(1)(3) } }{2(1)}[/tex]
2. Solve the sqaure root:
[tex]x= \frac{-(-5)+-\sqrt{25-12} }{2(1)} \\\\x =\frac{-(-5)+-\sqrt{13} }{2(1)}[/tex]
3. Simplify the rest:
[tex]x=\frac{5+-\sqrt{13} }{2}[/tex]
4. Separate the solutions:
[tex]x= \frac{5+\sqrt{13} }{2} , x= \frac{5-\sqrt{13} }{2}[/tex]
A and C represent these solutions, therefore they are the anwsers.
hope this helps!
Someone please help ASAP!!! I need both of these done before 12:00!!! Giving brainliest to best answer!!! you can do it!!
Answer:
8. 6/12
9. 8/ 42
..........
Hope it helps.
Do comment if you have any query.
The length is 2 units,the width is 5 units,and the height is 7 units
a sector of a circle with radius 21cm has an area of 280cm², find the perimeter of the sector.
Answer:
26.67 cm
Step-by-step explanation:
Area of a sector
A = πr² x θ/360°280 = 22/7 x 21 x 21 x θ/360°280 = 22 x 3 x 21 x θ/360°40 = 22 x 9 x θ/360°40 = 22 x θ/40°1600 = 22 x θθ = 1600/22 = 800/11 = 72.7°Finding Perimeter (Arc Length)
2πr x θ/360°2 x 22/7 x 21 x 800/11 x 1/3602 x 22 x 3 x 800 x 1/11 x 1/360132/11 x 800/36012 x 20/912/9 x 204/3 x 2080/326.67 cmPoints and their residual values are shown in the table. a 3-column table with 5 rows. the first column is labeled x with entries 1, 2, 3, 4, 5. the second column is labeled y with entries 2, 3.5, 5, 6.1, 8. the third column is labeled residual value with entries negative 0.4, 0.7, negative 0.2, negative 0.6. which residual value is the farthest from the line of best fit? 0.19 0.7 2 8
The residual value, which is the farthest from the line of best fit for the table which shows points and their residual values, is 0.7.
What is residual value?The residual value is the estimated value which is calculated for the end of the lease terms for a fixed asset.
Points and their residual values are shown in the table. A 3-column table with 5 rows.
x 1, 2, 3, 4, 5. y 2, 3.5, 5, 6.1, 8.Residual Value -0.4, 0.7, -0.2, -0.6 0The simple regression line can be represented as,
[tex]\hat y=\alpha +\beta X+\hat e[/tex]
Here α is the constant, β is the slope and e is the residue.
The point which is farthest from the best fit of the line is 3.5. At y=3.5, the value of residue is 0.7.
Thus, the residual value, which is the farthest from the line of best fit for the table which shows points and their residual values, is 0.7.
Learn more about the residual value here;
https://brainly.com/question/1168961
Answer:
0.7
Step-by-step explanation:
edge
How many miles can be driven using 5.5 gallons of gas?
Answer:
it depends on the car mpg but based on the average (24.9 mpg) you can drive about 136.95 miles
Step-by-step explanation:
24.9 x 5.5
Help please I need help with 15,16,17,18
The sixth term is 22. the common difference is 6 what is the 15th term?
Answer:
The general formulaa for an arithmetic sequence is:
a(n) = a + d(n - 1)
Step-by-step explanation:
Answer is a(n) = a + d(n - 1)
PLEASE HELP FAST!!! I’ll give brainliest
What is the volume of the pyramid? 2.5 cm3 5 cm3 6 cm3 7.5 cm3
Answer:
the anwer is 5 cm3
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
What is the first step in constructing an inscribed circle inside triangles XYZ?
anyone know this??!!!
Step-by-step explanation:
[tex] - \frac{1}{5} + \frac{1}{4} \times \frac{1}{20} [/tex]
choice 3
I need help with this, all answers please?
Which is a TRUE statement about slope?
A. The slope of a line is never 0.
B. When a line increases as you read it from left to right, the slope of the line is negative.
C. When the slope of a line is negative, the y-values decrease as the 3-values increase.
D. The slope of a line is always positive.
Answer:
C)
Step-by-step explanation:
What remainder is represented by the synthetic division below?
A vertical line and horizontal line combine to make a L shape. There are two rows of entries within the shape. Row 1 has entries 2, 10, 1, 5. Row 2 has entries blank, negative 10, 0, negative 5. Entry negative 5 is on the outside to the left of the shape, and a third row of entries is outside and below the shape. Row 3 has entries 2, 0, 1, 0.
–5
0
1
2
Answer:
the asnwer is 0
Step-by-step explanation:
Hope it help :D
Answer:
B
Step-by-step explanation:
The answer is 0 on edge
x is 50% more than y. Write down a ratio in the form of y:x .
Answer:
2 : 3
Step-by-step explanation:
if x = 3, y = 2
The difference : x - y = 3 - 2 = 1
represents for "y":
[tex]\frac{1}{y}(100) =\frac{1}{2} (100)=50[/tex]%
Hope this helps
Ebony had a sum of money.
She kept ½ for herself. She decided to give the rest away to family and charity.
¾ of the money she gave away went to family.
a) What fraction of the total amount did Ebony give to charity?
a)If the amount was £200, how much money did she give to family?
Answer: She gave a fraction of 1/4 to charity, and she gave $150 to family
Step-by-step explanation: Ebony had a totaly of $200 dollars to start with to give away that means if she gave 3/4 of $200 to family that would mean she gave $150 dollars to her family
Now the other part of the question is how much of the total amount did Ebony give to charity now if I understand that part correctly then it wants you to give the fraction of the total which would be she gave 1/4 out of the $200 she had for family and charity which means she gave 1/4 of $200 which is $50 to charity
Hope this Helps!
What polygon is shown?
Answer:
Pentagon
Step-by-step explanation:
When calculating a loan’s effective rate, if the interest compounds every two months, what value of n do you plug into your equation? a. 2 b. 0.167 c. 6 d. 60
The value of n you plug into your equation will be 6. Then the correct option is C.
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
When calculating a loan’s effective rate.
If the interest compounds every two months.
Then the value of n you plug into your equation will be
If the interest is compounded every two months, the interest will be applied six times every year.
Because there are 12 months in a year, the value of n that you will plug into your equation is 6, and it will be compounded every two months.
More about the compound interest link is given below.
https://brainly.com/question/25857212
John has a bag of different colored marbles. He has 6 red marbles, 3 blue marbles, 7 yellow marbles, and 5 green marbles. If John reaches into the bag and randomly pulls out a marble, what is the probability that the marble will be blue? (If necessary, round to the nearest tenth.) (as a percent please!!)
Answer:
P(blue) ≈ 14.3%
Step-by-step explanation:
probability P is calculated as
P = ( favourable outcome ) ÷ ( total number of possible outcomes )
here favourable outcome is blue of which there are 3
number of possible outcomes is the total = 6 + 3 + 7 + 5 = 21
P(blue) = [tex]\frac{3}{21}[/tex] = [tex]\frac{1}{7}[/tex]
to convert to a percentage multiply the fraction by 100%
P (blue) = [tex]\frac{1}{7}[/tex] × 100% = 100% ÷ 7 ≈ 14.3% ( to the nearest tenth )
Answer:
14.3%
Step-by-step explanation:
What is the length of the diagonal of the rectangle?
Answer:
Length of diagonal of the rectangle is 21.25 units.Step-by-step explanation:
Here we are given Length of the rectangle 17 and Width 12.75. To find length of the diagonal of the rectangle we will substitute the value of length and width in required formula:
We know that,
[tex] \\ \: \: \dashrightarrow \: \: { \underline{ \boxed{ \pink{ \pmb{\mathfrak {Diagonal = \sqrt {(Length)^2 + (Width)^2 }}}}}}} \\ \\ [/tex]
Substituting the required values:
[tex] \\ \: \: \dashrightarrow\sf \: \: Diagonal = {\sqrt{(17)^2 + (12.75)^2}} \\ \\ [/tex]
[tex]\: \: \dashrightarrow\sf \: \: Diagonal = \sqrt{289 + 162.5625} \\ \\ [/tex]
[tex]\: \: \dashrightarrow\sf \: \: Diagonal = \sqrt{451.5625} \\ \\ [/tex]
[tex]\: \: \dashrightarrow \: \: \pink {\underline{ \boxed{ \pmb{\frak {Diagonal = 21.25}}}}} \\ \\ [/tex]
Hence,
Length of diagonal of the rectangle is 21.25 units.Step-by-step explanation:
Given :-
Length of rectangle = 17 unit width of rectangle = 12.75 unitTo find :-
⇝ Diagonal of rectangle
Solution :-
Formula for finding length of rectangle =
[tex] \sqrt{(length) {}^{2} + (width) {}^{2} } [/tex]
putting the known values ,
[tex] \sqrt{(17) {}^{2} + (12.75) {}^{2} } [/tex]
[tex] \sqrt{289 + 162.5625} [/tex]
[tex] \sqrt{451.5625} [/tex]
[tex]21.25 \: unit[/tex]
10 \frac { x ^ { 2 } } { y ^ { 2 } } - 1 - 3 \frac { y ^ { 2 } } { x ^ { 2 } }
Answer:
[tex]\frac{(2x^{2} + y^{2}) (5x^{2} - 3^{2} }{x^{2} y^{2} }[/tex]
Step-by-step explanation:
Find the solution below.
Answer: (5x2 + 3y2) • (2x2 + y2) ———————————————————————— x2y2
Step-by-step explanation:
STEP 1: y2
Simplify ——
x2
Equation at the end of step 1: (x2) y2
((10•————)-1)-(3•——)
(y2) x2
STEP 2 : x2
Simplify ——
y2
Equation at the end of step 2: x2 3y2
((10 • ——) - 1) - ———
y2 x2
STEP 3:Rewriting the whole as an Equivalent Fraction 3.1 Subtracting a whole from a fraction Rewrite the whole as a fraction using y2 as the denominator : 1 1 • y2
1 = — = ——————
1 y2
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominatorAdding fractions that have a common denominator : 3.2 Adding up the two equivalent fractions Add the two equivalent fractions which now have a common denominatorCombine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible: 10x2 - (y2) 10x2 - y2
——————————— = —————————
y2 y2
Equation at the end of step 3: (10x2 - y2) 3y2
——————————— - ———
y2 x2
STEP 4:Trying to factor as a Difference of Squares: 4.1 Factoring: 10x2-y2 Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)Proof : (A+B) • (A-B) = A2 - AB + BA - B2 = A2 - AB + AB - B2 = A2 - B2Note : AB = BA is the commutative property of multiplication. Note : - AB + AB equals zero and is therefore eliminated from the expression.Check : 10 is not a square !! Ruling : Binomial can not be factored as thedifference of two perfect squaresCalculating the Least Common Multiple : 4.2 Find the Least Common Multiple The left denominator is : y2 The right denominator is : x2 Number of times each Algebraic Factor appears in the factorization of: Algebraic Factor Left Denominator Right Denominator L.C.M = Max {Left,Right} x 022 y 202 Least Common Multiple: x2y2 Calculating Multipliers : 4.3 Calculate multipliers for the two fractions Denote the Least Common Multiple by L.C.M Denote the Left Multiplier by Left_M Denote the Right Multiplier by Right_M Denote the Left Deniminator by L_Deno Denote the Right Multiplier by R_Deno Left_M = L.C.M / L_Deno = x2 Right_M = L.C.M / R_Deno = y2Making Equivalent Fractions : 4.4 Rewrite the two fractions into equivalent fractionsTwo fractions are called equivalent if they have the same numeric value.
What is the value of this expression?
{5×(13−8)}+12÷6
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \tt \dashrightarrow \: \{5 \times (13 - 8) \} + 12 \div 6[/tex]
[tex]\qquad \tt \dashrightarrow \: \{5 \times (5) \} + 12 \div 6[/tex]
[tex]\qquad \tt \dashrightarrow \: \{5 \times 5\} + 2[/tex]
[tex]\qquad \tt \dashrightarrow \:25 + 2[/tex]
[tex]\qquad \tt \dashrightarrow \:27[/tex]
{5×(13−8)}+12÷6
to find:the value of the expression.
solution:we'll have to follow the BODMAS rule to solve this.
{5×(13−8)}+12÷6
= {5 × (5)} + 12 ÷ 6
= 25 + 2
= 27
Place the following numbers on the number line. -2.42,-0.8, 0.33, 1.23
Answer:
On a number line, -2.42 would be first on the left, then -0.8, 0.33, and 1.23
Step-by-step explanation: