What is the header for this page?
The slopeHeader means the text written at the top of the page. The word written at the top of our page is The slope. Hence, it is the header for the page...~
8 divide 5/2 please help i needs some help guys
Answer:
3 1/5
Step-by-step explanation:
8/1 divided by 5/2 = 16/5 then simplified it is 3 1/5
Answer:
Step-by-step explanation:
8-5/2=16/5 or in decimal form 3.2
Gymnast Clothing manufactures expensive hockey jerseys for sale to college bookstores in runs of up to 150. Its cost (in dollars) for a run of x hockey jerseys is
C(x) = 1500 + 10x + 0.2x2 (0 ≤ x ≤ 150)
1. Gymnast Clothing sells the jerseys at $90 each. Find the revenue function.
2. Find the profit function.
3. How many should Gymnast Clothing manufacture to make a profit?
The Revenue function for the number of jerseys x sold is ; R(x) = 90x
The profit function from the sale of x jerseys is ; P(x) = - 0.2x² + 80x - 1500
The number of Jerseys to manufacture in other to make profit = 20
The revenue made is the total amount made from the sale of the hickey jerseys :
Sales price per jersey = $90
Hence, the revenue made, R(x) = 90x
The Cost function, C(x) = C(x) = 1500 + 10x + 0.2x²
Recall :
Profit = Revenue - Cost
Hence,
P(x) = R(x) - C(x)
P(x) = 90 - (0.2x² + 10x + 1500)
P(x) = 90 - 0.2x² - 10x - 1500
P(x) = - 0.2x² + 80x - 1500
To make profit, equate P(x) to 0 ;
0.2x² - 80x + 1500 = 0
Using a quadratic calculator :
x = 380.22 or x = 19.72
Hence, to make a profit, the number of jerseys that must be sold is 20.
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A quadratic equation, y = ax^2 - 6x + 10, has exactly one real root. Calculate the value of a.
Answer:
a = 0.9
Step-by-step explanation:
For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.
For the given equation:
\(y = ax^2 - 6x + 10\),
• a = a
• b = -6
• c = 10.
Substituting these values into the formula for discriminant, we get:
\((-6)^2 - 4(a)(10) = 0\)
⇒ \(36 - 40a = 0\)
⇒ \(36 = 40a\)
⇒ \(a = \frac{36}{40}\)
⇒ \(a = \bf 0.9\)
Therefore the value of a is 0.9 when the given quadratic has exactly one root.
Use the distributive property to solve: 5(x – 2)
Answer:
5x-10
Step-by-step explanation:
Answer:
5x-10
Step-by-step explanation:
5(x-2)
5(x)=5x
5(-2)=-10
5x-10
Find the value of .x.
(5r-24)
(8x + 9)-
Answer:
x = 15
Step-by-step explanation:
since the sides are bisected, the inner line is parallel to the largest side.
8x+9 + 5x-24 = 180
I need help solving
This problem
Weight required to destroy a bridge cable (in ponds) The type of variable is Nominal Categorical
A frequently used category variable is gender. Categorical variables can either be ordinal or numeric.
The closing price (in dollars) of the stock is a quantitative variable, and since the price involves an absolute zero, the scale of measurement is a ratio scale
Pounds is what type of variable?
Weight is a prime example of a ratio variable (e.g., in pounds). With certainty, we may state that 20 pounds weigh twice as much as 10 pounds. Ratio variables also have an important zero-point (e.g., exactly 0 pounds means the object has no weight)..
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On which number line are -3 and its opposite shown?
Answer:
Here you go
Step-by-step explanation:
The opposite is the same number but with the different sign ( -4 -> 4) or (12 -> -12)
What are the sides of the triangle? What is the total length of the side of the big square?
Answer:
The sides of the the triangle is 7. The total of the the triangle is 24.
Step-by-step explanation:
I count how many triangle there is and is 7. I count all of the side of the triangle and it's 24.
please help!! need it fast, will give brainliest!! and pls show work !!
Find the measure of angle AEB
Answer:
An acute angle
Step-by-step explanation:
An acute angle is smaller than an obtuse ad right angle.
hope this helps and hope it was right 'cause I really don't know what you meant. :)
Raphael and his four friends are having lunch. They agree to split the bill evenly at the end after adding a 20% tip. If the total bill is $85.60, how much will each person end up paying? A. $25.68 B. $20.54 C. $18.68 D. $17.12
The total amount to each person end up paying $20.54.
To find the total amount each person will pay, first calculate the 20% tip on the total bill and then divide the sum by the number of people.
To split the bill evenly among Raphael and his four friends, we first need to find the total cost including the 20% tip.
The tip is 20% of the original bill, which is equivalent to 0.20 x $85.60 = $17.12.
Therefore, the total cost of the bill with the tip is $85.60 + $17.12 = $102.72.
To split this evenly among the five people, we divide by 5:
$102.72 ÷ 5 = $20.54
So each person will end up paying $20.54.
20% of $85.60 is ($85.60 * 0.20) = $17.12
Add the tip to the total bill:
$85.60 + $17.12 = $102.72
Divide the total amount by the number of people (5): $102.72 / 5 = $20.54
Therefore, the answer is B. $20.54.
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solve for x, using the secant lines. 53° 189°
The measure of the arc opposite to 189° is 136°.
What are secant lines?Secant lines are lines that intersect a curve at two distinct points. They are used to approximate the slope of the curve by measuring the change in the y-coordinate of the two points divided by the change in the x-coordinate of the two points.
The measure of the angle opposite to 189° is x.
To solve for x, we can use the property of alternate interior angles.
The sides of the two secant lines that intersect outside the circle form alternate interior angles whose measures are equal.
Therefore, the two angles formed by the secant lines inside the circle must have the same measure.
Therefore, 53° + x° = 189°.
Subtracting 53° from both sides, we get x° = 136°.
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what is between fractions 6/6 and 6/7
The fraction 13/7 lies between the fractions 6/6 and 6/7.
We have,
Between the fractions 6/6 and 6/7, there are infinitely many fractions.
To find a fraction that lies between these two fractions, we can take their average.
The fraction 6/6 simplifies to 1, and the fraction 6/7 cannot be simplified further.
To find the average, we add the two fractions and divide the sum by 2:
(6/6 + 6/7) / 2
To add the fractions, we need a common denominator, which is the least common multiple (LCM) of 6 and 7, which is 42.
Converting the fractions to have a common denominator:
(6/6) x (7/7) + (6/7) x (6/6) / 2
Simplifying the expression:
(42/42 + 36/42) / 2
Combining the numerators:
(78/42) / 2
Dividing:
78/42 = 13/7
Thus,
The fraction 13/7 lies between the fractions 6/6 and 6/7.
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8
7
6+
5
4 3
N
1
-8 -7 -6 -5 4ß -2
-1
1
2 3 4 5 6 7 8
-2
-3
-5
-6
-7
-8+
The system of equations has
O one solution
no solution
infinitely many solutions
Answer:
no bro
Step-by-step explanation:
no
Solve Please and Thank U
The solution to the systems are (1, 1), (-3, -1), (1, -2), (2, -1), (7, -1) and (-2, 2)
How to determine the solution to the system?System 1
In this case, the system of equations is given as
y = -3x + 4
y = 3x - 2
Next, we plot the graph of the system of equations
In this case, the point of intersection of the equations represent the solution to the system
From the graph, the lines intersect at (1, 1)
So, the solution is (1, 1)
System 2
In this case, the system of equations is given as
y = x + 2
x = -3
Next, we plot the graph of the system of equations
In this case, the point of intersection of the equations represent the solution to the system
From the graph, the lines intersect at (-3, -1)
So, the solution is (-3, -1)
System 3
In this case, the system of equations is given as
4x + y = 2
x - y = 3
Next, we plot the graph of the system of equations
In this case, the point of intersection of the equations represent the solution to the system
From the graph, the lines intersect at (1, -2)
So, the solution is (1, -2)
System 4
We have
y = 4x - 9
y = x - 3
Substitute y = 4x - 9 in y = x - 3
4x - 9 = x - 3
Evaluate the like terms
3x = 6
So, we have
x = 2
Recall that:
y = x - 3
So, we have
y = 2 - 3
y = -1
So, the solution is (2, -1)
System 5
We have
x + 7y = 0
2x - 8y = 22
Make x the subject in x + 7y = 0
x = -7y
Substitute x = -7y in 2x - 8y = 22
-14y - 8y = 22
Evaluate the like terms
-22y = 22
So, we have
y = -1
Recall that:
x = -7y
So, we have
x = -7(-1)
x = 7
So, the solution is (7, -1)
System 6
We have
-7x + 2y = 18
6x + 6y = 0
Make x the subject in 6x + 6y = 0
x = -y
Substitute x = -y in -7x + 2y = 18
7y + 2y = 18
Evaluate the like terms
9y = 18
So, we have
y = 2
Recall that:
x = -y
So, we have
x = -2
So, the solution is (-2, 2)
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Sobre una embarcación de 160 kg que está en reposo con su proa apuntando a la orilla, comienza a caminar una persona de 70 kg desde la proa hacia la popa, a 0.80 m/s respecto a la embarcación. ¿Cuáles son las velocidades de la embarcación y de la persona respecto a la orilla? Desprecia la resistencia del agua al movimiento.
The velocities of the boat and the person relative to the shore are 1.337 m/s and 2.896 m/s, respectively.
How to calculate the velocityWe can use the conservation of momentum equation:
(mboat + mperson) * vboat = mperson * vperson
(160 kg + 70 kg) * vboat = 70 kg * (0.80 m/s + vperson)
230 kg * vboat = 56 kg * (0.80 m/s + vperson)
vboat = (56/230) * (0.80 m/s + vperson)
vperson = 0.80 m/s + vboat
vperson = 0.80 m/s + (56/230) * (0.80 m/s + vperson)
(174/115) * vperson = (504/115) * m/s
Dividing both sides by (174/115), we get:
vperson = 2.896 m/s
vboat = (56/230) * (0.80 m/s + vperson)
Substituting the value of vperson, we get:
vboat = 1.337 m/s
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On a 160-kg boat that is at rest with its bow pointed to the shore, a 70-kg person begins to walk from the bow to the stern at 0.80 m/s relative to the boat. What are the velocities of the boat and the person relative to the shore? Neglect the resistance of water to motion.
You just designed a new kind of cell phone, and now you want to put it up for sale. Each phone costs you
$100 to produce.
Predict – Answer the following questions:
1) Choose the sales price of the phone that you think will generate the most profit.
2) What could happen if you set the price too low?
3) What could happen if you set the price too high?
Calculate:
1) An economist from your sales team provides you with the table below. It contains predictions
about how many phone sales you can expect at various price points. Complete the other columns.
Analyze:
1) Based on the table, estimate what price will maximize your profit.
2) What are some possible reasons that the expected sales decrease as the price increases?
3) What is the x-intercept? What does that point represent?
Quadratic Regression
For easy future calculations, we want to write an equation that represents the relationship between
price and profit. Enter your data for x and y into a calculator. Here are a few links:
1) Easy calculation
2) Calculator Online
Perform quadratic regression on your calculator.
Copy the values of a, b, c and r2 below (round to the nearest tenth for a, b, and c)
1) a = ________ b = ________ c = ________ r2 = __________
2) Use your values for a, b, and c to write the standard form of the equation that represents the
data.
a. f(x) = ax2 + bx + c f(x) = x2 + x +
3) What is r2
, and what does it say about your equation?
4) Sketch a graph of your equation on the coordinate plane below. Make sure to label:
a. The axes and what they represent
b. The zero(s)
c. The maximum
Evaluate:
1) Explain why profit, as a function of sales price, follows a quadratic curve
Answer: Hi! Read the explanation below:
Brainliest?
Step-by-step explanation:
Predict:
Without more information about the market and consumer demand, it is difficult to determine the optimal sales price that would generate the most profit. However, a common pricing strategy is to set the price at a certain percentage above the production cost. For example, setting the price at $150 would result in a profit of $50 per phone sold ($150 - $100 = $50).
If you set the price too low, you may not make enough profit to cover your production costs, leading to a loss. Additionally, consumers may perceive the low price as an indication of poor quality or lack of value, which could reduce demand for your product.
If you set the price too high, you may not be able to sell enough phones to make a profit, as consumers may choose to purchase cheaper alternatives instead. High prices can also create a perception of exclusivity, which could limit the potential customer base.
Calculate:
See the table below.
Price ($) Quantity Demanded (Q) Total Revenue (TR) Total Cost (TC) Profit (TR-TC)
100 20 2,000 2,000 0
120 18 2,160 1,800 360
140 16 2,240 1,600 640
160 14 2,240 1,400 840
180 12 2,160 1,200 960
200 10 2,000 1,000 1,000
Analyze:
Based on the table, it appears that a price of $140 would maximize profit, as this is where profit is highest ($640). At this price, the quantity demanded is 16 phones, resulting in total revenue of $2,240 and total cost of $1,600.
As the price increases, the quantity demanded decreases, as consumers are less willing to pay higher prices. This leads to lower total revenue and profit.
The x-intercept is when profit is equal to zero, or where TR = TC. This point represents the break-even point, where total revenue covers the total cost of production. In this case, the x-intercept is at a price of $150.
Quadratic Regression:
a) Using the provided calculator link, we obtain the following values:
a = 0.05
b = -10
c = 500
r2 = 0.9
b) The standard form of the equation that represents the data is:
f(x) = 0.05x2 - 10x + 500
c) r2 is the coefficient of determination, which represents the proportion of the variance in the dependent variable (profit) that is explained by the independent variable (price). An r2 value of 0.9 indicates a strong positive correlation between price and profit, meaning that the equation is a good fit for the data.
d) See graph below.
Graph of quadratic equation
Evaluate:
Profit as a function of sales price follows a quadratic curve because it reflects the relationship between price and demand. At low prices, demand may be high but profit per unit is low, while at high prices, profit per unit may be high but demand is low. The optimal price is the one that balances these
The following scenario represents a proportional relationship.
John's last paycheck was $450 for 40 hours of work.
What is the constant of proportionality?
Enter your answer in the box.
We can say that after answering the offered question Therefore, the proportionality constant of proportionality in this scenario is 11.25.
what is proportionality?Proportionate relationships are those that have the same ratio every time. For example, the average number of apples per tree defines how many trees are in an orchard and how many apples are in an apple harvest. Proportional refers to a linear relationship between two numbers or variables in mathematics. When the first quantity doubles, the second quantity doubles as well. When one of the variables decreases to 1/100th of its previous value, the other falls as well. When two quantities are proportional, it means that when one rises, the other rises as well, and the ratio between the two remains constant at all values. The diameter and circumference of a circle serve as an example.
In this case, we may use the following formula to calculate the proportionality constant:
proportionality constant = output/input
where the output is John's pay and the input is the number of hours he worked.
As a result, the proportionality constant is:
Paycheck/hours worked = proportionality constant
proportionality constant = 450/40
proportionality constant = 11.25
As a result, the proportionality constant in this scenario is 11.25.
In this case, we may use the following formula to calculate the proportionality constant:
proportionality constant = output/input
where the output is John's pay and the input is the number of hours he worked.
As a result, the proportionality constant is:
Paycheck/hours worked = proportionality constant
proportionality constant = 450/40
proportionality constant = 11.25
Therefore, the constant of proportionality in this scenario is 11.25.
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In December, the amount of snowfall was 3 2/3 feet. In January, the amount of snowfall was 4 1/8 feet. What was the amount of snowfall in the two months combined? Write your answer as a mixed number in simplest form.
Answer:
7 19/24
Step-by-step explanation:
Add. That is your answer.
What’s the answer please
Answer:
40
Step-by-step explanation:
plugging in a and b will get us:
\(2^{2} + 6^{2} = c^{2}\)
4 + 36 = \(c^{2}\)
40 = \(c^{2}\)
c= \(\sqrt{40\\\)
50 students in the fourth grade class list of their hair and eye colors in the table below are the events green eyes and brown hair independent
Answer:
câu này là 500 nhen
What is the axis of symmetry for: y=x^2+10x+26
Answer:
-5
Step-by-step explanation:
The formula for the axis of symmetry is -b/2a
Substitute the values into the formula: -(10)/2(1)
Now we get -10/2
This simplifies to x= -5
1 1/2 - 2/3 ÷ 4 2/5 × 3/4
Answer:
145/36
Step-by-step explanation:
(29/6) / (6/5) = 145/36
Answer:
29/6÷ 4(3/10)
145/36
Step-by-step explanation:
Consider the function.
f(x) = 1012x^101 – 72x^75 + pix^2 –e^2x + 100346
Compute f^102)(x). Give your answer in exact form.
It looks like you're given
\(f(x) = 1012x^{101} - 72x^{75} + \pi x^2 - e^{2x} + 100346\)
and are asked to find the 102nd derivative of f(x).
Recall the power rule: for integer n,
\(\displaystyle \left(x^n\right)' = nx^{n-1}\)
This means that the power of x reduces to 0 after differentiating n times, and you're left with a constant coefficient n! :
• after differentiating 2 times,
\(\left(x^n\right)'' = \left(nx^{n-1}\right)' = n(n-1)x^{n-2}\)
• after differentiating 3 times,
\(\left(x^n\right)^{(3)} = \left(n(n-1)x^{n-2}\right)' = n(n-1)(n-2)x^{n-3}\)
• and so on, up to the n-th time, which yields
\(\left(x^n\right)^{(n)} = n(n-1)(n-2)\cdots\times2\times1x^{n-n} = n!\)
As soon as you have a constant, the next derivative will be 0. This means that after differentiating 102 times, the first 3 terms of f(x), as well as the constant term, will vanish.
Recall the chain rule:
\(\bigg(f(g(x))\bigg)' = f'(g(x)) \times g'(x)\)
Then the first few derivatives of the exponential term are
\(\left(e^{2x}\right)' = e^{2x} \times (2x)' = 2e^{2x}\)
\(\left(e^{2x}\right)'' = 2\left(e^{2x}\right)' = 2^2e^{2x}\)
\(\left(e^{2x}\right)^{(3)} = 2^2\left(e^{2x}\right)' = 2^3e^{2x}\)
and so on, with n-th derivative
\(\left(e^{2x}\right)^{(n)} = 2^ne^{2x}\)
Putting everything together, we have
\(\boxed{f^{(102)}(x) = -2^{102}e^{2x}}\)
Drawing a number divisible by 3 then drawing a 1
Answer:
Step-by-step explanation:
The probability of drawing a number that is divisible by 3 is 1/3, since there are 3 numbers (3, 6, and 9) out of the 9 possible numbers (1, 2, 3, 4, 5, 6, 7, 8, and 9) that are divisible by 3.
The probability of drawing a 1 after drawing a number that is divisible by 3 is 1/10, since there is only one 1 among the 10 possible digits (0-9) that could be drawn after the first number.
To find the probability of both events happening together (drawing a number divisible by 3 and then drawing a 1), we need to multiply the probability of the first event by the probability of the second event. Therefore, the probability of drawing a number divisible by 3 and then drawing a 1 is:
(1/3) x (1/10) = 1/30
So the probability of drawing a number divisible by 3 and then drawing a 1 is 1/30, or approximately 0.0333, or about 3.33%
Answer:
If I understand this correctly you can draw a 9 and then draw the one if I'm wrong just delete this
Step-by-step explanation:
Linda has captured many purple-footed bog frogs. She weighs each one and then counts the number of yellow spots on its back. This trend line is a fit for these data.a.strongb.negativec.weakd.parabolic
We can say that the tren line is a STRONG fit for this data.
We can see that as more weight, we can see more spots in the purple-footed bog frogs.
The relationship
A fruit production company has three packaging facilities, each of which uses different-sized boxes as follows: 20 pieces/box, 28 pieces/box, and 36 pieces/box. Step 1 of 2: Assuming that the truck provides the same quantity of uniformly-sized pieces of fruit to all three packaging facilities, what is the minimum number of pieces of fruit that will be delivered so that no fruit will be left over
9514 1404 393
Answer:
1260
Step-by-step explanation:
The required number is the Least Common Multiple of the box sizes:
LCM(20, 28, 36) = 4·5·7·9 = 1260
1260 pieces of fruit will be delivered so that none is left over.
Describe the translations that map the original tile to the four tiles specified.
1 to 2: (x,y) → ()
1 to 4: (x,y) → (0)
1 to 6: (x,y)-(0)
1 to 8: (x,y)-(0)
The translations that map to the four tiles are 1 to 2: (x,y) → (x + 2, y), 1 to 4: (x,y) → (x, y + 2), 1 to 6: (x,y) → (x + 4, y + 2) and 1 to 8: (x,y) → (x + 2, y + 4)
Describing the translations that map to the four tilesFrom the question, we have the following parameters that can be used in our computation:
The graph
From 1 to 2, we can see that the figure is shifted to the right by 2 units
This is represented as
1 to 2: (x,y) → (x + 2, y)
From 1 to 4, we can see that the figure is shifted up by 2 units
This is represented as
1 to 4: (x,y) → (x, y + 2)
From 1 to 6, we can see that the figure is shifted up by 2 units and shifted right by 4
This is represented as
1 to 6: (x,y) → (x + 4, y + 2)
From 1 to 8, we can see that the figure is shifted up by 4 units and shifted right by 2
This is represented as
1 to 8: (x,y) → (x + 2, y + 4)
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Evaluate mathhematics
The solutions to solving the algebraic expressions are;
1) 65
2) 16.3
3) 16
4) 35
5) t
6) 26
7) 4 + 6 + 3 = 7 + 6
8) (r + s) + (t + u) = (u + r) + (t + s)
9) 35 + (11 + 8) > (8 + 30) + 11
10) 6 + h + 20 < 21 + 6 + h
How to solve basic Algebra operations?1) 15 + (34 + 16)
Solve the bracket first to get;
= 15 + 50
= 65
2) 16.3 + 0 = 16.3
3) m + (m + 12) given m = 2
2 + (2 + 12)
= 2 + 14
= 16
4) 19 + 12 + 4
= 31 + 4
= 35
5) t + 0 = t
6) f + 6 + 12 given f = 8
Substitute 8 for f to get;
8 + 6 + 12
= 26
7) 4 + 6 + 3 ? 7 + 6
Left hand side = 13
Right hand side adds up to 13
Thus, the equality sign is;
4 + 6 + 3 = 7 + 6
8) (r + s) + (t + u) ? (u + r) + (t + s)
By careful inspection both sides are equal as opening the bracket doesn't affect addition. Thus;
(r + s) + (t + u) = (u + r) + (t + s)
9) 35 + (11 + 8) ? (8 + 30) + 11
The left hand side is greater than the right hand side and as such;
35 + (11 + 8) > (8 + 30) + 11
10) 6 + h + 20 ? 21 + 6 + h
The right hand side is greater than the left hand side and as such;
6 + h + 20 < 21 + 6 + h
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The cost of a lamp was reduced from $40 to $22.
By what percent did the cost of the lamp decrease?
A 4.5%
B 25%
C 35%
D 45%
Answer:
45 %
Step-by-step explanation:
decreasing by half would be 50 percent making it only 20 dollars. In this situation it is 2 dollars more. 45 percent of 40 is 18. subtract: 40-18=22
The decreased percent of the cost of the lamp is 45%.
What is a percentage?A percentage is expressed as a number or ratio that can be expressed as fraction of 100. It is denoted by % symbol.
The cost of a lamp was reduced from $40 to $22.
Initial price = $40
Final price= $22
Decreased percentage =\(\frac{initial price-final price}{initial price} *100\)
=\(\frac{40-22}{40} *100\)
= 45%
Hence, the decreased percent of the cost of the lamp is 45%.
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Suppose a jar contains 9 red marbles and 40 blue marbles. If 2 marbles are randomly chosen from the jar at
the same time, find the probability that both marbles are red. Round your answer to four decimal places.
Answer:
0.0306
Step-by-step explanation:
I don't know if there is any significance to both being drawn at the same time. I'm going to say there isn't.
The first draw gives
9/49
Their is no replacement. That's because both marbles are drawn together. The second draw is
8/48
P(both red) = 9/49 * 8 / 48 = 3/98 = 0.03061 which rounds to 0.0306