Answers
Hello,
Probability get a Bleu marble =5/12
Probability get a Red marble =4/12
Probability get a Green marble =3/12
p(B,R)=5/12*4/12=20/144
p(R,B)=4/12*5/12=20/144
p(B,G)=5/12*3/12=15/144
p(G,B)=3/12*5/12=15/144
p(R,G)=4/12*3/12=12/144
p(G,R)=3/12*4/12=12/144
p(2 marble different colours)= 2*(20+15+12)/144=94/144=47/72
Related Questions
How many cubes with side 2cm are needed to make a cube with side 6cm
Answers
Answer:
27 cubesStep-by-step explanation:
Cube with side 2 has volume:
2³ = 8Cube with side 6 has volume:
6³ = 2³*3³ = 8*27Number of cubes:
8*27/8 = 27A body is projected from aa point such that the horizontal and vertical components of its velocity are [tex]640ms^-^1[/tex] and [tex]480 ms^-^1[/tex] respectively . (Take g = [tex]10ms^-^1[/tex] )
i. Calculate the greatest height attained above the point of projection
A.600m B.1215 m C.1521 m D. 11520m E. 20480m
Answers
D. 11520m
Answer:
Solution given:
initial velocity[u]=480m/s
g=10m/s²
maximum height=?
now
we have
maximum height=[tex]\frac{u²sin²\theta}{2g}[/tex]
where
[tex]\theta=90°[/tex]
=[tex]\frac{480²*sin90}{2*10}=11520m[/tex]
Does anyone know what graph is correct?
Answers
First graph is the correct one.
when x= 1
y=f(x) = -√1 = -1
when x= 2
y= -√2
a suit is on sale for 15% off. the sale price is $442. what is the regular price?
Answers
Answer:
520
Step-by-step explanation:
100% - 15% = 85%
85% of the original price is 442 dollars
100% = x
solve for x:
x * 0.85 = 442
x= 520 dollars
regular price is 520 dollars.
If the price of a gallon of gas was $0.89 in 1984 and was $3.59 in 2014, what was the average rate of change in the price per gallon of gas?
Answers
Answer:
0.09
Step-by-step explanation:
avg rate of change is: change in y/ change in x
so it´d be 3.59 - 0.89 / 2014 - 1984
= 2.7/ 30
= 0.09
note:
The slope formula and the average rate of change formula are the same, just written a bit different, so you could also use:
y2 - y1 / x2 - x1
given the polynomial : (3x+4)^5. find the coefficient of x³ !
Answers
Answer:
[tex] \displaystyle 4320 {x }^{3} [/tex]
Step-by-step explanation:
to solve binomials like this there's a way called binomial theorem given by
[tex] \displaystyle {(a + b)}^{n} = \sum _{k = 0} ^{n} \binom{n}{k} {a}^{n - k} {b}^{k} [/tex]
but for this question we need the following part
[tex] \displaystyle \boxed{ \binom{n}{k} {a}^{n - k} {b}^{k} }[/tex]
from the question we obtain that a,b and n is 3x,4 and 5 since we want to find the coefficient x³ k should be (5-3) = 2 so we have determined the variables now just substitute
[tex] \displaystyle \binom{5}{2} {(3x)}^{5 - 2} \cdot {4}^{2} [/tex]
simplify which yields:
[tex] \displaystyle \boxed{ \bold{4320 {x }^{3}} }[/tex]
and we are done!
A daycare center operator wanted to survey her parents to determine if they were interested in the center providing once-a-month Saturday night care for their children. Rather than survey all 254 parents, the operator took the list of parents' names and, starting with the third parent's name, surveyed every twelfth parent. What type of sampling did the daycare operator use
Answers
Answer:
Systematic Sampling
Step-by-step explanation:
According to the Question,
systematic sampling is a statistical method involving the selection of elements from an ordered sampling frame. The most common form of systematic sampling is an equiprobability method. In this approach, progression through the list is treated circularly, with a return to the top once the end of the list is passed. The sampling starts by selecting an element from the list at random and then every Kth element in the frame is selected.So, systematic sampling is right Answer.
Answer:
Systematic Sampling
Step-by-step explanation:
What type of sampling did the daycare operator use Systematic Sampling.
15 years from now Renu will be four times her present age. What is Renu's present age?
Answers
Answer:
5 years
Step-by-step explanation:
(x+15)=4x
15=4x-x
15=3x
5=x
Which is a simplified form of the expression -5(y – 2) – 7y?
A. -12y + 10
B. 2y - 10
C. -2y + 10
D. 12y - 10
Answers
Answer:
the answer is B
Step-by-step explanation:
-5(y-2)-7y
-5y-10-7y
+7y +7y
answer: 2y-10
Answer:
A. (-12y+10)
Step-by-step explanation:
-5(y-2) - 7y can be simplified to:
-5y + 10 - 7y when you factor the parenthesis.
If you add the y's together, the answer should be:
-12y + 10.
.
Heather wants to start a business. She has two products to sell, and knows it takes her a
different amount of time to make each. It takes her 1.5 hours to make each frame (f),
and 2.25 hours to make each canvas (c). She is planning to work for 40 hours on these
projects this week. Write the equation that represents this relationship.
Answers
Answer: 1.5f + 2.25c = 40
Step-by-step explanation:
You'd need to multiply the variables of unknown value (how many she'd make in 40 hours) by the time it takes to make one. This would mean multiplying 1.5 by f and 2.25 by c. you'd add this as together they equal the 40 hours she'd be working for the week.
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Answers
Answer:
(1/3) r2 =(1/3) r +14
1/6 divided by 83 r + 14
97r
i think...
I hope this helps you!
XoXo Mashayla
Step-by-step explanation:
18x-108
-----------
6x-54
simplify the expression
A.
B.
C.
D.
Answers
Answer:
3x-2
---------
x-1
Step-by-step explanation:
simplify 18x/6x = 3x/1x
simplify 108/54 = 2/1
Its about similar figures and scale drawing
No links
Answers
Answer:
5 in
Step-by-step explanation:
by doing a proportion of 2/4 for the known sides, you can find that the smaller triangle has sides that are half of the larger one. so 10/2 equals 5
Answer: X = 5
Step-by-step explanation:
4 divided by 2 = 2
So 10 divided by 2 = 5
Someone help, I suck at math
Answers
option A.55°
Answer:
Solution given:
<x+<y=<z
exterior angle of a triangle is equal to the sum of two opposite interior angle
4n-18+n+8=133-6n
5n+6n=133+10
11n=143
n=143/11
n=13
exterior angle =133-6*13=55°
option A.55°
Please answer the question on the screenshot.
Answers
Answer:
less than, less than, greater than (from top to bottom)
Step-by-step explanation:
Answer:
Step-by-step explanation:
If you answer this correctly you get a cookie
Answers
Answer:
A
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Total waste = 22 000 in^3
If we use a proportion we have:
x : 100 = 2000 : 22 000
x = 200 000 / 22 000 = 9,09 % (option a is wrong
x : 100 = 7000 : 22 000
x = 700 000 / 22 000 = 31 % (ok)
if tanA=12/16,find sin 2A
Answers
First, we need to draw a right triangle to represent the given trigonometric ratio. (Kindly refer to the attached photo for the figure.)
Second, we need to determine the length of the unknown side.
In this case, the unknown side is the hypotenuse. Since the length of the opposite side is 12 and the length of the adjacent side is 16, then the length of the hypotenuse is
[tex]c = \sqrt{16^{2} + 12^{2}}[/tex]
[tex]c = 20[/tex]
After this, we need to know the trigonometric identity of sin 2A in order to solve for its value.
We know that,
sin 2A = 2 sin A cos A
Then, we need to determine the values of sin A and cos A.
Based on the figure (attached photo), the values of sin A and cos A are
sin A = opposite side / hypotenuse
sin A = 12/20
sin A = 3/5
cos A = adjacent side / hypotenuse
cos A = 16/20
cos A = 4/5
Finally, we can now solve for the value of sin 2A by substituting the values of sin A and cos A to the trigonometric identity of sin 2A.
Therefore, the the value of sin 2A is
sin 2A = 2 sin A cos A
sin 2A = 2(3/5)(4/5)
sin 2A = 24/25
4. The mean of the data 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 is a. 2 b. 2.2 C. 2.4 d. 2.8
Answers
Answer:
its 2•8
u add all together then divide it number of times e.g 2+3+4+5+0+1+3+3+4+3=28
so 28/10= 2•8
Answer:
mean=sum of all the data number of the data
= 2+3+4+5+0+1+3+3+4+3/10
= 28/10
= 2.8
I hope this helps
What is the solution to the system of equations below?
y = three-fourths x minus 12 and y = negative 4 x minus 31
Answers
Answer:
x,y = -4, -15
Step-by-step explanation:
A man runs at the speed of 10 km/hr. How much time will he take to cover 2000 meters?
Answers
It’s 10km for every one hour
Divide 2000 by 10 and you will be left with the number of km for every one hour.
If f(x) = -3 3 and g(x)= 4x2 + 2x - 4, find (f +g)(x).
Answers
Answer:
A. 4x² + 9x/4 - 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = x/4 - 3
g(x) = 4x² + 2x - 4
(f + g)(x) is f(x) + g(x)
Step 2: Find
Substitute in functions: (f + g)(x) = x/4 - 3 + 4x² + 2x - 4Combine like terms: (f + g)(x) = 4x² + 9x/4 - 7To the nearest penny, what is the price of 3.2 pounds of ham that costs $2.99 per pound?
Answers
[tex]\begin{array}{ccll} Lbs&\$\\ \cline{1-2} 1&2.99\\ 3.2&x \end{array}\implies \cfrac{1}{3.2}=\cfrac{2.99}{x}\implies x = (3.2)(2.99)\implies \stackrel{\textit{rounded up}}{x = 9.57}[/tex]
In which figure is DE BC
Answers
Answer:
Given: DB = 7.2 cm, AE = 1.8 cm and EC = 5.4 cm and DE || BC.
DB
AD
=
AC
AE
[by basic proportionality theorem which states that if a line is drawn parallel to one side of a triangle the other two sides in distinct points, then the other two sides are divided in the same.
7.2
AD
=
5.4
1.8
AD=
5.4
7.2×1.8
AD=
10
24
⟹AD=2.4cm
A room can just store either 10 cases of soya beans drink and 8 cases of fruit juice or 4 cases of soybeans drink and 11 cases of fruit juice. How many cases of soya bean drink have the same volume as one cases of fruit juice.
Answers
Answer:
2 cases of soya bean milk will have the same volume as 1 case of fruit juice.
Step-by-step explanation:
Let the case of soya beans drink be x and let the case of fruit juice be y
We are told that the room can store either 10 cases of soya beans drink and 8 cases of fruit juice or 4 cases of soybeans drink and 11 cases of fruit juice.
This means that;
10x + 8y = 4x + 11y
Rearranging, we have;
10x - 4x = 11y - 8y
6x = 3y
Thus;
y = 6x/3
y = 2x
This means that 2 cases of soya bean milk will have the same volume as 1 case of fruit juice.
The product of three different positive integers is equal to 7^3. What is the sum of the three integers?
Answers
Answer:
sum of three positive integer=57
Step-by-step explanation:
let x,y,z be three positive no.
given :-
xyz=7³
xyz=343
xyz=1×7×49
x+y+z=(1+7+49)
sum=57
Answer:
343
Step-by-step explanation:
7^3
change 7^3 to a natural number or enter 7^3 on a calculator
7×7×7
=343
factors of 343=1,7,49,343
1×7×49=343
1+7+49=57
I need help with all of em please
Answers
Answer:5/4
Step-by-step explanation: i think this is the answer
Answer:
The area is 30 units squared, the perimeter is 17 units, and the answer to the question below is 9
Step-by-step explanation:
What is the end behavior? 10 points!!
Answers
Given:
The given function is:
[tex]f_1(x)=-3\cdot 2^{x-5}-4[/tex]
The graph of the function is given.
To find:
The end behavior of the given function.
Solution:
We have,
[tex]f_1(x)=-3\cdot 2^{x-5}-4[/tex]
From the given graph it is clear that the function approaches to -4 at x approaches negative infinite and the function approaches to negative infinite at x approaches infinite.
[tex]f_1(x)\to -4[/tex] as [tex]x\to -\infty[/tex]
[tex]f_1(x)\to -\infty[/tex] as [tex]x\to \infty[/tex]
Therefore, the end behaviors of the given function are:
[tex]f_1(x)\to -4[/tex] as [tex]x\to -\infty[/tex]
[tex]f_1(x)\to -\infty[/tex] as [tex]x\to \infty[/tex]
pleasee help me,A train travels from station P to station Q at a speed of 90km/h in 3hours 40minutes.The train stops at station Q for 25minutes before returns to station P.The time taken from station P to station Q.Calculate the average speed,in km/h,of the whole journey of the train
Answers
Find the value of t for a t-distribution with 12 degrees of freedom such that the area to the left of t equals 0.025. Round your answer to three decimal places, if necessary.
Answers
Answer:
-2.179
Step-by-step explanation:
Given :
Degree of freedom, df = 12
Area to the left = 0.025
The value of T can be obtained using either a t distribution table or a T value calculator :
t0.025, 12 (to the left) = t(1-0.025), 12 = t0.975,12 = - 2.1788
Therefor le, t value with 12 degree of freedom, with area to the left being 0.025 is - 2.179
Ayudaaa!! Cortamos una cuerda de 60cm en 5 trozos. Hay 3 trozos cortos que miden lo mismo y los otros 2 trozos miden 5cm mas que los cortos. ¿Cuánto miden los trozos?
Answers
Answer:
The short pieces are 10 cm each and the long pieces are 15 cm each.
Step-by-step explanation:
We cut a 60cm rope into 5 pieces. There are 3 short pieces that measure the same and the other 2 pieces are 5cm longer than the short ones. How long are the pieces?
let the length of the short pieces is p.
Length of longer pieces = p + 5
So,
60 = 3 p + 2 (p+ 5)
60 = 3 p + 2p + 10
5 p = 50
p = 10 cm
So, the short pieces are 10 cm each and the long pieces are 15 cm each.
