A bag contains five blue marbles, five red marbles, five white marbles, and five black marbles. You draw a marble from the bag, and then draw another marble from the bag.
Do you have a greater probability of drawing two blue marbles if you replace the first marble after you draw it or if you don't replace the marble?
Your answer should include both the mathematical proof and a written statement.
Answer:
If you replace the first marble, you have a higher chance of picking two blue marbles. Mathematical proof and written statement is shown below.
Step-by-step explanation:
Mathematical Proof :
For proof, we should test it out.
To find the total amount of marbles, we add up all the different colors in the bag.
5 + 5 + 5 + 5 = 20
Drawing 2 blue marbles while replacing the first probability :
The probability of drawing a blue marble at first is 5/20. If you then replace this marble, the probability doesn't change, it's still 5/20. To get the probability of getting two blue marbles and not replacing we multiply :
5/20 * 5/20 = 25/400 = 1/16
Drawing 2 blue marbles while NOT replacing the first probability :
The probability of first choosing a blue marble is 5/20, but you don't replace it, so now the probability of choosing a blue marble is 4/19, since one blue marble was taken. To find the probability of drawing two blue marbles but not replacing the first one we are going to have to multiply 5/20 * 4/19. That's 1/19.
So the probability of getting two blue marbles and replacing the first is 1/16, and the probability of getting two blue marbles and not replacing the first is 1/19. Well, which is greater? 1/16 is greater. If you replace the first marble, you have a higher chance of picking two blue marbles.
Written Statement :
If you replace the first marble you have a higher chance of getting two blue because you are increasing the number of blue marbles in the 20 total marbles. Now there is a greater number of blue marbles there is a greater chance you will pick blue.
Find the volume of a rectangular prism with length 7 feet,width 6 feet, and height 4 feet.
Answer:
V=168ft³
Step-by-step explanation:
V=
w-6
h-4
l-7
V = 168ft³
Find the y-intercept the line on the graph. Plz I need the credit
Answer:
4
Step-by-step explanation:
The y intercept is where it crosses the y axis
It crosses the y axis at y = 4
Evaluate the expression (ab)^2for a = 4 and b = 3.
Answer:
144
Step-by-step explanation:
Plug in a and b
In this case a=4, b=3
(ab)^2
( (4)(3) )^2
(12)^2
12x12
144
If this helps please mark as brainliest
Answer:
144
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
(ab)²
a = 4
b = 3
Step 2: Evaluate
Substitute in variables: [4(3)]²[Brackets] Multiply: 12²Exponents: 144Write the equation of the parabola in vertex form.
Answer: Hi! The answer is, y=-(x-2)^2
Step-by-step explanation:(The explanation is in the image below) I hope that this helps you!
Which of the following graphs represents a function? Graph a or b
Answer:
graph b represents a function.
Answer:
graph b
Step-by-step explanation:
Lawrence makes tomato cages out of wire. He has 48 1/3 yards of wire and uses 6 3/4 yards on each tomato cage. How many tomato cages can Lawrence make with the wire he has?
A. 6
B. 7
C. 8
D. 9
What is the value of x?
Enter your answer in the box.
Answer:
x=12
Step-by-step explanation:
Both Angles together have a 180 degrees, set your formula up as
180=(10x-20)+(6x+8)
180=10x+6x-20+8
180+20-8=16x
192=16x
192/16=x
12=x
Answer:
x = 12
Step-by-step explanation:
The two angles form a straight line so they add to 180
10x-20 + 6x+8 = 180
Combine like terms
16x -12 = 180
Add 12 to each side
16x-12+12=180+12
16x = 192
Divide each side by 16
16x/16 =192/16
x = 12
Jim orders prints from a website. The site charges him $6.95 a month and $0.04 for each print he orders.
Enter an equation that can be used to find the number of prints, P, Jim ordered last month if the website charged
him $17.79.
Enter the number of prints Jim ordered last month.
Answer:
271 prints.
Step-by-step explanation:
So to answer the question, we need to first write a formula to find the answer.
We know that the starting price per month is 6.95 dollars.
The full price is 17.79 dollars.
So we can start this off by writing:
17.79=6.95
Now, every time Jim prints, he charges 0.04 dollars. This will add to the orginal cost, which is 6.95. And remember this isnt a single payment, but a payment that varies depending on the amount of paper, p. So we can write this as:
17.79=6.95+0.04p
6.95 wont ever change, hense why it doesnt have a variable. 0.04 however, varies depending on the amount of paper, and thats why we included the variable p.
These two values combined make 17.79, hense why it is on the opposite side of the equals sign.
So, now we need to find how many papers, p, were printed.
To find this, lets just take our equation, and solve for P like an ordinary problem:
17.79=6.95+0.04p
So first off, lets subtract the 6.95 from both sides, because that iscolates the 0.04p, which contains the variable.
Now we have:
10.84=0.04p
Now, we could divide both sides by 0.04.
But remember, the whole point of doing this is to make 0.04p into 1p.
So another way of doing this is multiplying the 0.04 by 25, since 0.04*25=1.
So lets multiply both sides by 25:
10.84*25 is 271.
Since 10*25 is 250
And
.84*25 is 21.
So now we know:
271=1p
So 271 is your answer!
Hope this helps!
The equation that can be used to find the number of prints, p, is $17.79 = $6.95 + $0.04p and Jim ordered 271 prints last month.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We can write an equation to represent the total cost that Jim was charged by the website for last month's prints, p to represent the number of prints he ordered:
Total cost = Monthly fee + Cost per print x Number of prints
Using the values given in the problem:
$17.79 = $6.95 + $0.04p
To solve for p, one side of the equation. First, we can subtract $6.95 from both sides:
$10.84 = $0.04p
Then, we can divide both sides by $0.04:
p = 271
To learn more about equation click on;
brainly.com/question/31112129
#SPJ2
Find q
(7q-46)
(3q+6)
Answer:
[tex]q = 22[/tex]
Step-by-step explanation:
The angle measure of a straight line is (180) degrees As given in the picture, line (AC) is a straight line, thus its angle measure is (180) degrees. Angles (ABD) and (DBC) make up line (AC). Therefore, one can conclude that the sum of angles (ABD) and (DBC) is (180) degrees. Form an equation, simplify and use inverse operations to solve for the unknown parameter (q).
[tex](<ABD) + (<DBC) = (AC)[/tex]
Substitute for the angle measures,
[tex](7q-46)+(3q+6)=180[/tex]
Simplify,
[tex]10q-40=180[/tex]
Inverse operations,
[tex]10q-40=180\\\\10q = 220\\\\q = 22[/tex]
Answer:
need pts
Step-by-step explanation:
The ratio of sheep to cows in a field is 3:8. The ratio of cows to pigs in the same field is 5:6. What is the ratio of sheep to cows to pigs?
Answer:
3:5:6
Step-by-step explanation:
because there are 3 sheep 5 vows and 6 pigs
Figure A is a scale image of Figure B what is the value of x
Answer:
72
Step-by-step explanation:
20 got 4 added to it and the only number that gives you 24 when you multiply it is 4x6 and we can prove that to be right because the one before it is 4x5 and it gives us 20. Now that we know the multiplier is 5 and 6 we can ask ourselves, "What do I multiply by 5 that gives me 60?" And that is 12. So 12x6 is 72 for x.
10. It rained 375 inches in 15 hours. At this rate, how much will
it rain in 35 hours? Answer in decimal form.
Answer:
875
Step-by-step explanation:
375 divided by 15 =
25
25 times 35 =
875
Dividing 375 by 15 shows how much it rains per hour
Then times that by the number of hours to get your answer
Answer:
Step-by-step explanation:
Set this up as a proportion with the number of inches of rain on the top and the number of hours it rained on the bottom.
[tex]\frac{in.}{hrs}:\frac{375}{15}=\frac{x}{35}[/tex] and cross multiply to solve for x:
15x = 13125 so
x = 875 inches
2. Priscilla is drawing a map of her school that uses a scale in which 1.5 cm 1 point
on the map represents 3 ft. If the first hallway has a length of 120 ft, what
should the length of the hallway be on the map?
O
a. 40 cm
b. 60 cm
C. 30 cm
d. 45 cm
Answer:
The answer is 60cm. (b)
Step-by-step explanation:
For every 1.5cm on the map, it represents 3 ft on real-size scale.
In other words, for every 1cm on the map, it represents 3/1.5 = 2ft on real size scale.
If you want to find 120ft of real-size scale, you can use 120ft/2ft * 1cm which gives 60cm
What is the perimeter of triangle XYZ?
Answer:
126
Step-by-step explanation:
Factor x2 – 19x – 20 completely.
Answer:
Step-by-step explanation:
x^2-19x-20
=x^2-(20-1)x-20
=x^2-20x+x-20
=x(x-20)+1(x-20)
=(x-20)(x+1)
A newspaper conducted a survey to find out how many high school students play video games. The two-way table below displays the data from the survey. Based on these data in the table, which statement is true? A. There were 2,451 boys surveyed and about 29% of them play video games. B. There were 2,996 girls surveyed, and about 45% of them play video games. C. There were 5,447 students surveyed, and about 54% of them do not play video games. D. There were 2,493 students surveyed, and about 34% of them are girl who do not play video games.
Answer:
c
Step-by-step explanation:
please help!! i have no clue what to do and this packet is due tonight.
Answer:
[D] ∞
General Formulas and Concepts:
Calculus
Limits
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \lim_{n \to \infty} s(n)[/tex]
[tex]\displaystyle s(n) = (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]
Step 2: Evaluate
Substitute in function [Limit]: [tex]\displaystyle \lim_{n \to \infty} (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]Multiply: [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4}[/tex]Power Method: [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4} = \infty[/tex]Since the degree of the polynomial is greater in the numerator than in the denominator, the top will always increase faster than the bottom, thus getting infinitely larger.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Book: College Calculus 10e
Estimate 16.26+4.169 by first rounding each number to the nearest tenth.
Answer:
16.3 + 4.2 = 20.5 (20.5 has not been rounded)
Step-by-step explanation:
I just rounded both numbers to the nearest tenth, it should be accurate. I hope I helped :)
What is the sum of the pink and green area?
Answer:
I think the answer is 11x
Answer:
11x
Step-by-step explanation:
Pink area = 6x
Green area = 5x
Total (sum) = 6x+5x =11x
answer?? please help
Answer
where is the ?
Step-by-step explanation:
Write an equation for this graph
Answer:
y = -x - 2
Step-by-step explanation:
The slope is -1 and the y-intercept is (0, -2).
Which exponential function is represented by the graph
Answer:
the answer is "B" the second one...
(1/2)(2)^x
at
0 = (1/2)(1) = 1/2
2= (1/2)(4) = 2
Step-by-step explanation:
Hurry!
Solve for X, Round to the nearest tenth, if necessary
Answer:
Step-by-step explanation:
take 43 degree as reference angle
using tan rule
tan 43 = opposite / adjacent
0.93 = x / 56
x = 56/0.93
x = 60.21
x = 60.2
x(x+2) + y (x + 2) - 5(x + 2)
factor
Answer:
x² + xy - 3x + 2y - 10
Step-by-step explanation:
x(x + 2) + y(x + 2) - 5(x + 2)
x² + 2x + y(x + 2) - 5(x + 2)
x² + 2x + xy + 2y - 5(x + 2)
x² + 2x + xy + 2y - 5x - 10
x² - 3x + xy + 2y - 10
x² + xy - 3x + 2y - 10
Johanna buys two poster frames that have the same area, but different shapes. One is a rectangular frame with a width of 40 inches and a length of 30 inches. The other frame is square. What a poster with dimensions of 36 inches X 36 inches fit in the square frame?
Answer:
No, the poster would not fit in the frame
Step-by-step explanation:
A rectangle is a quadrilateral (has 4 sides and 4 angles) with two pair of opposite and equal sides.
A square is a quadrilateral in which all sides are equal.
Given that the rectangular frame has a width of 40 inches and a length of 30 inches. The area of the rectangular frame is:
Area of rectangular frame = length * breadth = 40 inches * 30 inches = 1200 in²
Since the square frame has the same area as the rectangular frame, hence:
Area of square frame = length * length
length² = 1200
length = √1200 = 34.64
Therefore the dimensions of the square frame is 34.64 inches by 34.64 inches.
Hence a poster with dimensions of 36 inches X 36 inches cannot fit in the square frame.
. A copy machine can duplicate 2400 copies in one hour. How many copies can it make per minute?
Indira buys 1250 square metres of land to build a hotel. Each square metre of land costs $12. Calculate the cost of the land. Answer(a) $ [1] (b) The cost of the land is 3% of the cost of the hotel. Calculate the cost of the hotel
Answer:
500000
Step-by-step explanation:
yeah boi
Of every 5 CDs produced in a
factory, 2 are scratched. If
2,200 CDs were produced,
how many were scratched?
Answer:
880
Step-by-step explanation:
2/5 times 2200
Answer:
880 scratched CD's
Step-by-step explanation:
2/5 = x/2,200
5x = 4,400
/5 = /5
x = 880
-20=-8(a+4)-5(1-5a)
What is a
Answer:
a=1
Step-by-step explanation:
-20=-8(a+4)-5(1-5a)
Distribute
-20 = -8a -32 -5 +25a
Combine like terms
-20 =17a -37
Add 37 to each side
-20+37 = 17a-37+37
17 = 17a
Divide by 17
17/17 = 17a/17
1= a
