These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two pink
marbles if the first one is placed back in the
bag before the second draw?
Give your answer as a ratio, reduced to
simplest terms.
[?]
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.
Enter
Answers
========================================================
Explanation:
There are 3 pink marbles out of 10 total (we can see that 2 yellow + 3 pink + 5 blue = 10 total)
The fraction 3/10 represents the probability of pulling out a pink marble at random. Since the first one is put back, this means the fraction 3/10 stays the same on the second draw as well.
We use the idea mentioned in the hint to multiply the fractions:
(3/10)*(3/10) = (3*3)/(10*10) = 9/100
The probability of pulling two pink marbles in a row is 9/100, where the first marble is put back.
Effectively, if you were given 100 tries at doing this, you should expect about 9 of those times you get 2 pink marbles in a row.
Related Questions
Find the zeros of the quadratic function: y = 6x2 + x – 35.
Answers
The zeros of the quadratic function: y = 6x^2 + x – 35 are x = -2.5 or x = 7/3
How to determine the zeros?The function is given as:
y = 6x^2 + x - 35
Expand the function
y = 6x^2 + 15x - 14x - 35
Factorize the function
y = (2x + 5) * (3x - 7)
Set the function to 0
(2x + 5) * (3x - 7) = 0
Split
2x + 5 = 0 or 3x - 7 = 0
Solve for x
x = -2.5 or x = 7/3
Hence, the zeros of the quadratic function: y = 6x^2 + x – 35 are x = -2.5 or x = 7/3
Read more about quadratic functions at:
https://brainly.com/question/1214333
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The sum of two numbers is 56. Seven times the smaller number is 12 more than three times the larger number. Find the numbers.
Answers
7x-12=3y
7x-3y=12
3x+3y=168
7x-3y=12
10x=180
X=18
56-18=y
Y=38
Answer:
x = 18
y = 38
Step-by-step explanation:
Let the smaller number be = x
Let the larger number be = y
Sum of the number, x + y = 56 --------- ( 1 )
Seven times smaller number = 7x
Three times larger number = 3y
Seven times smaller = 12 more than 3times larger , 7x = 12 + 3y ----- ( 2 )
Solve ( 1 ) and ( 2 )
x + y = 56 => x = 56 - y
Substitute x in ( 2 )
7x - 3y = 12
7(56 - y) - 3y = 12
392 - 7y - 3y = 12
-10y = 12 - 392
-10y = - 380
y = 38
Substitute y in ( 1 )
x + y = 56
x + 38 = 56
x = 56 - 38
x = 18
What’s the solution
Answers
Answer:
x ≥ 12
Step-by-step explanation:
-3/4x +2 ≤ -7
Subtract 2 from each side
-3/4x +2-2 ≤ -7-2
-3/4x ≤ -9
Multiply each side by -4/3, remembering to flip the inequality
-3/4x * -4/3 ≥ - 9 *(-4/3)
x ≥ 12
Answer:
x>=12
Step-by-step explanation:
-3/4x + 2<=-7
-3/4x <= -7 -2
-3/4x<=-9
cross multiply
-3x<=-36
dividing throughout by -3
x>=12
Consider a student loan of 15,000 at a fixed APR of 9% for 25 years. A) Calculate the monthly payment B) Determine the tiaras amount paid over the term of the loan C) Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest.
Answers
Answer:
The monthly payment will be $ 162.50. In turn, the interest paid will be $ 33,750, constituting 69.23% of the total amount paid.
Step-by-step explanation:
Since there is a student loan of 15,000 at a fixed APR of 9% for 25 years, to calculate the monthly payment, determine the tiaras amount paid over the term of the loan, and determine, of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest, the following calculations must be performed:
((15,000 x 0.09) x 25) + 15,000 = X
33,750 + 15,000 = X
48,750 = X
48,750 / (25x12) = X
48,750 / 300 = X
162.5 = X
48,750 = 100
33,750 = X
33,750 x 100 / 48,750 = X
69.23 = X
Therefore, the monthly payment will be $ 162.50. In turn, the interest paid will be $ 33,750, constituting 69.23% of the total amount paid.
For which value of m does the graph of y = 18x2 + mx + 2 have exactly one x-intercept?
Answers
Answer:
m = +/- 12
Step-by-step explanation:
A quadratic function has only one x-intercept when the discriminant is equal to 0. The discriminant is b^2 - 4(a)(c).
When we plug in what we know, we have:
m^2 - 4(18)(2) = 0.
Then using algebraic properties, solve for m.
m^2 - 144 = 0
m^2 = 144
m = +/- 12
When you plug in positive or negative 12, and then factor you will see that it comes out to a difference of squares, proving that there is only one x-intercept.
Answer: C
Step-by-step explanation:
EDGE 2023
Y=x^3+x what's the domaine and range
Answers
domain is (- infinity, infinity)
range is (- infinity, infinity)
You work for a company in the marketing department. Your manager has tasked you with forecasting sales by month for the next year. You notice that over the past 12 months sales have consistently gone up in a linear fashion, so you decide to find a regression equation for the company's sales history. You find that the regression equation for the data is (sales) = 25.614*(time) + 5.499. Interpret the slope.
a. When sales increases by 1 unit, time increases by 5.499 months.
b. We are not given the dataset, so we cannot make an interpretation.
c. When sales increases by 1 unit, time increases by 25.614 months.
d. When time increases by 1 month, sales increases by 5.499 units.
e. When time increases by 1 month, sales increases by 25.614 units.
Answers
Given g(x) -x + 4, solve for a when g(x) = 8.
Answers
Answer:
x = 12
Step-by-step explanation:
g(x) - × + 4 =0
put g(x) = 8
so, 8 - x + 4 = 0
x = 12
Answer:
x = - 4
Step-by-step explanation:
Given g(x) = - x + 4 and g(x) = 8 , the equate the right sides, that is
- x + 4 = 8 ( subtract 4 from both sides )
- x = 4 ( multiply both sides by - 1 )
x = - 4
solve marked question only !
plz
Answers
Answer:
hello ok I will share u the link where u can find step by step answers
Answer:
The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30°. Find the height of the tower.
A Let tower be AB
Let point be C
Distance of point C from foot of tower = 30m Hence,
BC = 30m
Angle of elevation = 30°
So < ACB = 30°
Since tower is vertical,
< ABC = 90°
Help me pleassseeeee
Answers
Answer:
8x+(-20x)
Step-by-step explanation:
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Answers
The problem states that Brian can travel ‘27.5’ miles per gallon, and his tank can only hold ‘15.45’ gallons of fuel.
To find the miles he can travel, all you have to do is multiply the miles he can travel per gallon (27.5) by the gallons he has in the tank (15.45).
This gives you the answer of 424.875 miles.
Answer:
27.5 miles per gallon
1 full tank = 15.45 gallons
27.5 x 15.45 = 424.875 miles
rounded to the nearest 100th: 424.88 miles
nearest 10th: 424.9 miles
nearest whole #: 425 miles
How to solve and answer
Answers
Answer:
The corrects answers are: C, D, E, F
Step-by-step explanation:
If the function m(x) has the point (1, 9) on its graph name a point that would be on the function 17n(x) + 2.
(1, 155)
(17, 11)
(2, 17)
(1, 11)
Answers
9514 1404 393
Answer:
(1, 155)
Step-by-step explanation:
Let f(x) = 17n(x) +2, where n(1) = 9.
Then we have ...
f(1) = 17n(1) +2 = 17×9 +2 = 153 +2
f(1) = 155
A point on the new graph would be (1, 155).
Why should people conserve energy? (Please don’t get the answer form the internet)
Answers
I need to match them but I don't know how
Answers
Given:
The system of equations is:
[tex]x+3y=5[/tex]
[tex]x-3y=-1[/tex]
The given matrices are [tex]\left[\begin{array}{cc}5&3\\-1&-3\end{array}\right] [/tex], [tex]\left[\begin{array}{cc}1&5\\1&-1\end{array}\right][/tex], [tex]\left[\begin{array}{cc}1&3\\1&-3\end{array}\right][/tex].
To find:
The correct names for the given matrices.
Solution:
We have,
[tex]x+3y=5[/tex]
[tex]x-3y=-1[/tex]
Here, coefficients of x are 1 and 1 respectively, the coefficients of y are 3 and -3 respectively and constant terms are 5 and -1 respectively.
In the x-determinant, the coefficients of x are in the first column and the constant terms are in the second column. So, the x-determinant is:
[tex]\left[\begin{array}{cc}1&5\\1&-1\end{array}\right][/tex]
In the y-determinant, the constant terms are in the first column and the coefficients of y are in the second column. So, the y-determinant is:
[tex]\left[\begin{array}{cc}5&3\\-1&-3\end{array}\right] [/tex]
In the system determinant, the coefficients of x are in the first column and the coefficients of y are in the second column. So, the system determinant is:
[tex]\left[\begin{array}{cc}1&3\\1&-3\end{array}\right][/tex]
Therefore, the first matrix is y-determinant, second matrix is x-determinant and the third matrix is the system determinant.
Are the triangles congruent? Why or why not?
Answers
Answer:
Yes, because they are identical to eachother
Step-by-step explanation:
1.What are the coordinates of the vertices of ABC? Use the coordinates to find the lengths of AC and AB .
2.Use the distance formula to find BC. Show your work.
Answers
Answer/Step-by-step explanation:
1.
✔️Coordinates of vertices ABC:
A(2, 2)
B(6, 2)
C(2, -1)
✔️AC = |2 - (-1)| = 3 units
AB = |2 - 6| = 4 units
2. Distance formula => [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Distance between B(6, 2) and C(2, -1):
[tex] BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Where,
[tex] B(6, 2) = (x_1, y_1) [/tex]
[tex] C(2, -1) = (x_2, y_2) [/tex]
[tex] BC = \sqrt{(2 - 6)^2 + (-1 - 2)^2} [/tex]
[tex] BC = \sqrt{(-4)^2 + (-3)^2} [/tex]
[tex] BC = \sqrt{16 + 9} = \sqrt{25} [/tex]
[tex] BC = 5 units [/tex]
Answer:
The person above me has the correct answer and solves it in the correct way.
Step-by-step explanation:
This is what I used as my answer though.
Distance Formula: d = √(x2-x1)^2 + (y2-y1)^2
BC = √(x2-x1)^2 + (y2-y1)^2
B = (6,2)
C = (2,-1)
BC = √(2-6)^2 + (-1-2)^2
BC = √(-4)^2 + (-3)^2
BC = √16+9
BC = √25
BC = 5
What’s the domain of the function?
Answers
Answer:
domain of function refers to the various values that can be passed through to the function.
Step-by-step explanation:
Help me pls this is hard
Answers
Answer:
I guess it is the Answer C
Answer:
C
The distance around the edge of the circle
Một hộp đựng 10 phong bì bốc thư trúng thưởng trong đó 3 phong bì đựng 500 nghìn 7 phong bì đựng 100 nghìn. Bốc ngẫu nhiên liên tiếp hai phong bì. Nếu biết phong bì thứ hai có 500 nghìn, tìm xác xuất để phong bì đầu tiên cũng có 500 nghìn?
Answers
I can't understand tell me in english
please helpppppppppp
Answers
Answer:
Step-by-step explanation:
b = sqrt(2 * L) Given
L = 4.5 Given
b = sqrt(2 * 4.5)
b = sqrt(9)
b = 3
Answer:
b = 9
Step-by-step explanation:
Given :-
[tex] \small \sf \: b = \sqrt{2 \it \: l} [/tex]
[tex] \small \: l = 4.5[/tex]
Solution :-
[tex] \small \sf \: b = \sqrt{2 \it \: l} [/tex]
plug the values of l in the equation
[tex] \small \sf \leadsto \: b = \sqrt{2 × 4.5} [/tex]
[tex] \small \sf \leadsto \: b = \sqrt{9} [/tex]
[tex] \small \sf \leadsto \: b = 9 [/tex]
Which expression is equivalent to 4p^-4 10q -3? Assume
Answers
Step-by-step explanation:
Derive an expression for the equivalent width in a saturated line. Assume a Voigt profile, with the difference in optical depth between the center of the line and the wings being ~104. The wings of the line can be ignored. Define a frequency x1 = (v1 − v0)/ΔvD, where the optical depth τv = 1. Inside of x1 the line is fully saturated, and outside x1 the line is optically thin. Show that the equivalent width is

Note that the equivalent width is practically insensitive to the number density of absorbing material.
can we say ((-16)÷4) ÷ (-2) is the same as (-16)÷ (4÷(-2)?
Answers
Answer:
no we can't
Step-by-step explanation:
(-4)÷(-2). (-16÷(-2)
2. 8
[tex]\longrightarrow{\blue{[( - 16)\div 4) \div ( - 2)] \:is\:not\:equal\:to\:( - 16) \div [4 \div( - 2) ] }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex][( - 16 )\div 4) \div ( - 2)] = ( - 16) \div [4 \div( - 2) ][/tex]
Let us first solve for L. H. S.
[tex] = [( - 16 )\div 4) \div ( - 2)][/tex]
[tex] = [ (\frac{ - 16}{4} )\div ( - 2)][/tex]
[tex] = \frac{( - 4)}{( - 2)} [/tex]
[tex] = 2[/tex]
Now, R. H S.
[tex]( - 16) \div [4 \div ( - 2)][/tex]
[tex] = \frac{ - 16}{ - 2} [/tex]
[tex] = 8[/tex]
[tex]\sf\purple{L. H. S.\: ≠ \:R. H. S. }[/tex]
Hence, [tex][( - 16) \div 4) \div( - 2)] ≠(-16)\div [4 \div( - 2) ][/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
Out of 90 civil servants, 65 were working in the office, 50 were working in the field and 35 were working in both the premises (sites). How many civil servants were absent? How many civil servants were working in the field only? Represent the above information in the Venn diagram. 1
Answers
Answers:
10 people absent15 people working in the field onlySee the below image for the venn diagram=======================================================
Explanation:
35 people are working in both places. 50 work in the field or both, so 50-35 = 15 people work solely in the field. 65 work in the office or both, so 65-35 = 30 people work solely in the officeSo far that accounts for 15+30+35 = 80 people who work in the field, the office, or both.
The remaining 90-80 = 10 people are absent.
The venn diagram is below.
What statement is true about the following pair of rectangles
Answers
Answer:
The second choice
Step-by-step explanation:
For this, we can use the process of elimination. The first choice is crossed out, since they are mix and matching the numbers. The third choice is also crossed out since the second choice is correct. The second choice is correct because 9/11*3=27/33.
Answer:
They are similar because 9/11 = 27/33
NEED HELP ASAP
6 th grade mathematics question
Answers
Answer:
B, 8 (2a+3b).
Step-by-step explanation:
First, let's let A=1 and B=2. 16a+24b would equal 64, and so would B, which is 8 (2a+3b). Then lastly you solve, and you get 64 for both of them, which means B is equal to that expression.
Answer:
B
Step-by-step explanation:
8(2a) = 16a
8(3b) = 24b
16a + 24b
Photo attached!!!!!!!
Answers
Answer:
i cant see the photo
Step-by-step explanation:
Bryan is sitting on a bench in the mall. He noticed that 18 out of the last 60 men who walked by had a beard . Considering this data how many of the next 90 men who walk by should Bryan expect to have a beard?
Answers
Answer:
27
Step-by-step explanation:
every 30 men = 9 men with beards
you have 30 3 times in 90 so you get 27
60÷2=30
18÷2=9
30 men normal = 9 men with beards
90÷30=3
3×9=27
What is the first step in using the square root property?
Answers
Answer: Isolate the term that contains the squared variable. Then, take the square root of both sides and solve.
Step-by-step explanation:
To solve an equation by using the square root property, you will first isolate the term that contains the squared variable. You can then take the square root of both sides and solve for the variable. Make sure to write the final answer in simplified form.
See the image for the question
Answers
Answer:
The value of equipment after 2 years is $58,800
Step-by-step explanation:
f(n) = 67,500(14/15)ⁿ
where f(n) is the value after n years.
1 – 1 / 15 = 14 / 15.