Answers
Note: 1.8 = 9/5
===========================================================
Explanation:
This problem may be strangely worded, so I'll try to phrase it differently. That part will come in a later section below (specifically section 3).
For now, let's just find the probability of finding two white marbles if we replace the first marble chosen. We consider this a "replacement" situation.
We have 5 blue, 3 red and 2 white marbles. That means 5+3+2 = 10 total. The probability of picking white is 2/10 = 1/5. Since the first marble is replaced, the probability of picking white the second time is still 1/5.
The probability of picking two white marbles is (1/5)*(1/5) = 1/25 = 0.04 = 4%
---------------------------------
Now let's consider a "no replacement" situation. We won't put the marble back, or we won't replace it with an identical copy. After the first marble is picked, we have 10-1 = 9 marbles left and 2-1 = 1 white marble left.
The probability of getting white on the second selection, after no replacement is made, is 1/9 instead of 2/10 = 1/5
The probability of getting two white marbles in this scenario is (2/10)*(1/9) = (2*1)/(10*9) = 2/90 = 1/45 = 0.0222 = 2.22% approximately
We can see that there is a difference in probabilities between "replacement" and "no replacement" when we pick two white marbles like this.
---------------------------------
The fractional answer to the first section was 1/25. Let A = 1/25
The fractional answer to the second section was 1/45. Let B = 1/45
A and B are the probabilities for "replacement" vs "no replacement" in that order.
Your teacher wants to know how many times greater the value of A is compared to B.
In symbols, your teacher wants to know the value of k in the equation A = Bk
So...
A = Bk
1/25 = (1/45)k
1/25 = k/45
1*45 = 25*k
45 = 25k
25k = 45
k = 45/25
k = (9*5)/(5*5)
k = 9/5
k = 1.8
Either the fractional or decimal version of k would work as the answer. It might sound better if you go with the decimal version, though again, both values are equivalent.
The value of A is 1.8 times greater compared to the value of B.
Related Questions
What is the area of the figure below?
Use 3.14 for it.
fi6 cm
7 cm
A 42 cm
B 61.2 cm?
C 80.5 cm?
D 118.9 cm?
Answers
Answer:
option B
Step-by-step explanation:
The figure is combination of parallelogram and semi- circle. So,
area = area of parallelogram + area of semi-circle
[tex]Area \ of \ parallelogram = base \times height = 7 \times 6 = 42 cm^2\\\\Area \ of \ semi-circle = \frac{1}{2} \pi r^2 = \frac{1}{2} \times 3.14 \times 3.5^2 = 19.2cm^2\\\\Therefore \ Area = 42 + 19.23 = 61.2cm^2[/tex]
A travel agent quotes the flight ticket price
for the employees of a company as follows:
When there are 25 people or less, the
ticket price for each person is $1000.
When there are more than 25 people,
with every additional person, the ticket
price for each person will drop by $20.
The lowest ticket price for any employee
is $700.
The company pays $27000 in total. Find the
number of employees going for the trip.
Answers
9514 1404 393
Answer:
30
Step-by-step explanation:
The total price for x employees will be ...
p(x) = {1000x for x ≤ 25; x(1000 -20(x -25)) for 25 < x ≤ 40; 700x for 40 < x}
We want p(x) = 27000.
We can check the value of x for the three different functions to see if it is in the specified domain.
1000x = 27000 ⇒ x = 27 (not in the domain of the first segment)
__
x(1000 -20(x -25)) = 27000
20x(75 -x) = 27000 . . . . . collect terms, factor
(x -37.5)^2 = -1350 +1406.25 . . . . . complete the squre
x = 37.5 ±√56.25 = 37.5 ±7.5 = {30, 45}
x = 30 is in the domain; x = 45 is not
__
700x = 27000
x ≈ 38.57 (not in the domain of the last segment)
__
So, the piecewise cost function will give a total cost of $27000 when the number of employees going for the trip is 30.
You pick a card at random.
2 3 4 5
What is Podd or divisor of 10)?
Answers
Answer:
3/4 or 75%
Step-by-step explanation:
Let's 1st find the cards that can be chosen.
3 and 5 are odd and 2 is also a divisor of 10.
These are 3 cards so 3/4 is 75% chance you will get a card that is odd or a divisor of 10.
How many solution does the system of linear equations represented in the graph below have?.
Answers
Answer:
No solution
Step-by-step explanation:
The given lines on the graph are parallel . So they will never intersect each other. Therefore they have no solution.
2. Liam and Sam shared a chocolate bar Liam ate 3/5
and Sam ate 4/ 10 Who ate more? How much
more?
Answers
Explanation:
first convert one of the fractions to the same denominator as the other one. personally, I chose to simplify 4/10 to 2/5. this leaves us with a common denominator of 5, and it makes the problem much easier/simpler to look at.
3/5 - 2/5 = 1/5
Liam ate 1/5 more chocolate than Sam
What is the area of a circular pizza with a radius of 9 cm?
O A. 1017.9 cm?
O B. 56.5 cm2
O C. 254.5 cm
O D. 28.3 cm2
someone helpp plss
Answers
Answer:
Step-by-step explanation:
C
The area of the circular shaped pizza is A = 254.5 cm²
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the radius of the pizza be r = 9 cm
The area A of a circle with radius r is given by the formula:
A = πr²
Substituting the given radius of 9 cm, we get:
A = π(9 cm)²
A = π(81 cm²)
A ≈ 254.47 cm²
Rounding to one decimal place, we get:
A ≈ 254.5 cm²
Hence , the area of the circular pizza with a radius of 9 cm is approximately 254.5 cm²
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A rectangular tank is 20 cm wide and 25 cm long, the volume of tank is 5,250. What is the height of the tank?
Answers
Answer:
12
Step-by-step explanation:
michael Jackson
Answer
10.5
Step-by-step explanation:
to find volume is WxLxH. revurse it and divide volume by width and length to find height
Plz help j don't the answer to this
Answers
an isotope is an atom with a different number of____neutrons____ ,than a normal atom
What number should be added to −5/11to get 26/33?
Answers
So answer is 41/33
There are 16 students and mrs Bryant wants o give them 5/8 of a large sub sandwiches does she need?
She needs______sub sandwiches
Answers
Answer: I think the answer would be 10
Step-by-step explanation:
5/8 * 16/1 = 80/8 = 10
She needs 10 sub sandwiches if there are 16 students and Mrs Bryant wants to give them 5/8 of a large sub sandwiches
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
Total number of students = 16
Each student receive = 5/8 of a large sub sandwich
Total sandwich receive = 16(5/8) = 10
Thus, she needs 10 sub sandwiches if there are 16 students and Mrs Bryant wants to give them 5/8 of a large sub sandwiches
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Which of the following are equations for the line shown below? Check all that
apply.
(3.1)
O A. y = x-2
B. y-1 - (x-3)
O C. y=-x-2
D. Y + 4 = (x+2)
Answers
Answer:
y = x - 2. Notice that option A and B are same.
Step-by-step explanation:
Two points on the given line are (3, 1) and (-2, -4).
Slope = (y2 - y1)/(x2 - x1) = (-4 - 1)/(-2 - 3) = 1
Using y - y1 = m(x - x1) :
=> y - 1 = 1(x - 3)
=> y - 1 = x - 3
=> y = x - 2
HELP ME PLZ IM CRYING predict the number of catfish kathy will catch next week if she catches 54 fish
6 carp
8 bass
7 catfish
Answers
Answer:
18
Step-by-step explanation:
Take a breath :) . I've got your back.
If she caught 6 carp + 8 bass + 7 catfish, she caught 6 +8 +7 fish total = 21.
7 of 21 were catfish.
If she catches 54 fish instead of 21, (and we have to assume the ratio stays the same), how many will be catfish?
Ratios are 7:21 and x:54, but we'll write them as fractions:
7/21 = x/54
Then cross multiply:
21x = (54)(7)
21x = 378
divide both sides by 21
x = 18
If she catches 54 fish total, we predict she will catch 18 catfish.
---------------------------------------------
If we go back to the original 7/21, we can reduce that to 1/3. Then ask what is 1/3 of 54? 18.
Find the ratio of the areas of two circles with radii 4 and 12
Answers
Answer:
1:9
Step-by-step explanation:
~Refer to the attachment for the solution.
Q 4: A triangle has vertices A (1,6), B (1, 2) and C (6,2). What is the area of the triangle?
Plss helpppppp.
Answers
Answer:
10 units
Step-by-step explanation:
point A has the coordinate (1,6) and point B has the coordinates (1,2), so the difference in the y values will give height of the triangle which is 6-2 = 4
similarly the point B has the coordinates (1,2) and point C has the coordinates (6,2). Calculate the difference in x values which is 6-1 = 5 which is the base of the triangle
now use the area of a triangle formula which is 1/2 * b * h
= 1/2 * 5 * 4
= 1/2 * 20
= 10
solve the simultaneous equation 3a+4c= 67 5a+6c= 106
Answers
5a+6c=106
9a+12c=201
10a+12c=212
-a=-11
a=11
33+4c=67
4c=34
c=8.5
A=11; C=8.5
Determine if the relation is a function. Explain and
justify your answer.
Answers
By looking at the table, you can see that we have an x
that is paired with two different y's so this does not fit the
definition of a function which states that each x must
be paired with exactly one y.
Select all the correct answers.
Based on these sets of side lengths, which triangles are right triangles?
8 units, 15 units, V75 units
08 units, 3 units, V73 units
16 units, 30 units, V50 units
5 units, 7 units, 174 units
Answers
Answer:
08 units, 3 units, V73 units
Step-by-step explanation:
Pythagoras theorem can be used to determine which sets of side lengths are for a right triangle
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
8² + 15² = √289
8² + 3² = √73
16² + 30² = √1156
only the second option is correct
ill mark brainliest for correct answer
Answers
1/5 x 10^2
1/5 x 100
answer: 20
Answer:
Solution given:
[tex]\frac{1}{5}(6+3+1)²[/tex]
[tex]\frac{1}{5}(10)²[/tex]
[tex]\frac{1}{5}100[/tex]
=20 is a required answer.
Find (-5) when f(x) = x^2 + 2x + 5
Answers
Answer:
Value of F(x) when x = -5 is 20
Step-by-step explanation:
Given equation;
f(x) = x² + 2x + 5
f(x) = f(-5)
Find:
Value of F(x) when x = -5
Computation:
Given function;
f(x) = x² + 2x + 5
By putting value of x in given function
f(-5) = (-5)² + 2(-5) + 5
f(-5) = (-5 x -5) + 2(-5) + 5
f(-5) = (25) - 10 + 5
f(-5) = (25) - 5
f(-5) = 20
Value of F(x) when x = -5 is 20
What is an equation of the line that passes through the points ( 3 , 1 ) and ( − 3 , − 7 ) ?
Answers
Answer:
y = 4/3x - 3
Step-by-step explanation:
Use this formula to find the slope first.
(y2 - y1) / (x2 - x1)
(x2, y2) --> (-3, -7)
(x1, y1) ---> (3, 1)
Now plug in:
(-7 - 1) / (-3 - 3) = -8 / -6 = 4/3
Now find the y intercept by plugging any points to y= 4/3x + b
I will use (3, 1).
1 = 4/3(3) + b
1 = 4 + b (subtract 4 on both sides)
-3 = b
So the formula is
y = 4/3x - 3
[tex]20\% of gh 200 [/tex]
Answers
Answer:
answer
I think it's 40...
[tex]20\% \: \bold{of} \: 200 \\ \\ = \frac{20}{100} \times 200 \\ \\ = \frac{20}{ \cancel{100}} \times \cancel{200} \\ \\ = 20 \times 2 \\ \\ = 40[/tex]
Hope This Helps You ❤️HELP ME [QUESTION IN IMAGE AND NOT THAT HARD EITHER]
Answers
Answer:
Button #4. The last button. 8p = t.
Step-by-step explanation:
This is because there are 8 pieces of string, and p is equal to the length of one string, so one string times 8 is the total length of all the strings.
explanation:
Help if you know the answer plz and thank you!!
Answers
Answer:
-12 w^3
Step-by-step explanation:
-9w^3 - 3 w^3
Factor out the common term
w^3( -9-3)
w^3 (-12)
How can 17% of 58 be calculated?
A. by dividing 17 by 58
B. by dividing 58 by 0.17
C. by multiplying 17 by 58
D. by multiplying 58 by 0.17
Answers
Answer:
D. by multiplying 58 by 0.17
[tex]17\% \: of \: 58 \\ = \frac{17}{100} \times 58 \\ = \frac{986}{100} \\ = 9.86[/tex]
Find the volume of this sphere.
Use 3 for TT.
V V ~
V = Tr3
[?]cm3
10 cm
helpppp
Answers
Answer:
10^3 = 1000
1000 x 3 = 3,000
3,000 x 4/3 = 4,000 cm^3 is your answer.
Step-by-step explanation:
Volume formula of sphere:
4/3 x pi(3.14 or 22/7 OR 3 like they said, depending on what they tell you to use for pi) x R(radius, half of your diameter or given radius)^3(to the power of 3)
4/3 x pi x radius being cubed
Two times a number minus four times another number is ten, and four times the first
number minus four times the second number results in four. What are the two
numbers? Let the first number be x. Iand the second number be y.
Answers
Answer:
-3 and -4
Step-by-step explanation:
x = 1st number
y = 2nd number
2x-4y=10
4x-4y=4
distribute first equation by -2 to eliminate x-values:
-4x + 8y = -20
+ 4x - 4y = 4
4y = -16
y = -4
solve for 'x':
2x - 4(-4) = 10
2x + 16 = 10
2x = -6
x = -3
The solution for the given system of equations is x = -3 and y = -4.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
This is a system of linear equations in two variables, x and y.
The first equation is:
2x - 4y = 10
The second equation is:
4x - 4y = 4
You can solve one of the equations for one of the variables, and then substitute that expression into the other equation.
From the first equation:
2x - 4y = 10
2x = 4y + 10
x = 2y + 5
Substitute this expression of x in the second equation,
4(2y+5) - 4y = 4
8y + 20 - 4y = 4
4y = -16
y = - 4
Now, substitute this value of y in x = 2y + 5
x = 2 × -4 + 5
x = - 3
Hence, the solution for the system of equations is x = -3 and y = -4.
Learn more about the Linear equations here:
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Given: F(x) = 2x 2 + 1, G(x) = 2x - 1, H(x) = x
F(x) + G(x) =
Answers
Answer: 2x(x+1)
Step-by-step explanation:
F(x) + G(x) =2x^2+1+2x-1
=2x^2+2x
=2x(x+1)
Answer:
6x
Step-by-step explanation:
i am not quite sure why you have provided H(x), and i am assuming f(x) = 2x * 2 + 1
with that into consideration we can simplify f(x)
f(x) = 2x*2+1
= 4x+1
question -> f(x) + g(x)
= (4x+1) + (2x -1)
1 and -1 can get cancelled and 4x + 2x = 6x
thus the answer is 6x
atus
view
The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given cos 0 = Ź, find sin 0.
sin 0 =
V 역
Simplify the fraction.
Enter
Answers
Answer:
√7 / 4
Step-by-step explanation:
Trigonometrical identity are used to show the relationship between the sides and angles of a right angled triangle. Some trigonometric identities are:
sinΘ = opposite / hypotenuse, cosΘ = adjacent / hypotenuse, tanΘ = opposite / adjacent.
Given that cosΘ = 3 / 4
Therefore, cosΘ = adjacent / hypotenuse = 3 / 4
adjacent = 3, hypotenuse = 4. Let x be the opposite side, to get the opposite side, we use Pythagoras theorem:
opposite² + adjacent² = hypotenuse²
x² + 3² = 4²
x² + 9 = 16
x² = 7
x = √7
sinΘ = opposite/hypotenuse = √7 / 4
What additional information is needed to prove that ∆LPM and ∆OPN are congruent by SAS postulate?
A. ∠P ≅ ∠P
B. ∠LPO ≅ ∠MPN
C. ∠LPM ≅ ∠OPN
D. ∠PON ≅ ∠PLM
Answers
Answer:
hggh
Step-by-step explanation:bmv,g,vg,cvbbgfghvc
PLEASE I NEED HELP!!
Answers
Answer:
t=75
h=19
x=9
s=6
Your welcome (: