2(y - 6) = 3(y - 4) - y
Answer:
it has unlimited answers.
Step-by-step explanation:
i need help with #2 and #6 pleaseeeeee
Answer:
Area of the rectangle = x² - 3x - 10
2019
Step-by-step explanation:
Length of the rectangle = x + 2
Width of the rectangle = x - 5
Area of the rectangle = length × width
= (x + 2) (x - 5)
= x² + 2x - 5x - 10
= x² - 3x - 10
Area of the rectangle = x² - 3x - 10
C = 20t² + 135t + 3050
Where
C = the number of new cars
t = year the number of new cars was purchased
t = 0 corresponds to 1998
Find the when c = 15,000
C = 20t² + 135t + 3050
15,000 = 20t² + 135t + 3050
20t² + 135t + 3050 - 15,000 = 0
20t² + 135t - 11,950 = 0
4t² + 27t - 2390 = 0
Solve using quadratic equation
t = -b ± √b² - 4ac / 2a
= -27 ± √27² - 4(4)(-2390) / 2(4)
= -27 ± √729 -(-38240) / 8
= -27 ± √729 + 38240 / 8
= -27 ± √38969 / 8
= -27/8 + √38969/8 or 27/8 - √38969/8
= -3.375 + 197.41/8 or -3.375 - 197.41/8
= -3.375 + 24.67625 or -3.375 - 24.67625
t = 21.30125 or - 28.05125
t cannot be negative
Therefore,
t = 21.30125
To the nearest whole number
t = 21
Recall,
t = 0 corresponds to 1998
Therefore
1998 + 21 = 2019
c = 15,000 in the year 2019
What is 1 quintillion x 10000
Answer: 1e+28 or 10 sextillion hope this helps :)
Step-by-step explanation:
Find and classify the critical points of f(x,y)=8r³+ y² + 6xy
The critical points of the function are (0, 0) and (3/4, -9/4), To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point
To find the critical points of the function f(x, y) = 8x^3 + y^2 + 6xy, we need to find the values of (x, y) where the partial derivatives with respect to x and y are equal to zero.
Taking the partial derivative with respect to x, we have:
∂f/∂x = 24x^2 + 6y = 0.
Taking the partial derivative with respect to y, we have:
∂f/∂y = 2y + 6x = 0.
Solving these two equations simultaneously, we get:
24x^2 + 6y = 0,
2y + 6x = 0.
From the second equation, we can solve for y in terms of x:
Y = -3x.
Substituting this into the first equation:
24x^2 + 6(-3x) = 0,
24x^2 – 18x = 0,
6x(4x – 3) = 0.
Therefore, we have two possibilities for x:
1. x = 0,
2. 4x – 3 = 0, which gives x = ¾.
Substituting these values back into y = -3x, we get the corresponding y-values:
1. x = 0 ⇒ y = 0,
2. x = ¾ ⇒ y = -9/4.
Hence, the critical points of the function are (0, 0) and (3/4, -9/4).
To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point. However, since the original function does not provide any information about the second partial derivatives, further analysis is required to classify the critical points.
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Gina rented a truck for one day there was a base fee of 1275 there was an additional charge of 20 cents for each mile driven the total cost c in dollars for driving in miles is given by the following function
Answer:
\(1275+0.2m=c\)
m is the amount of miles driven, c is the total cost.
Step-by-step explanation:
Since she has a flat fee of 1275, that's the 1275 in the equation and since we don't know how many miles she drives, that's the m in the equation for miles driven. Since each mile costs 0.20, that's the 0.2 in the equation. And since c is the total cost in dollars, that's the c in the equation.
A bracelet that regularly sells for $44 is on sale for 15% off. Find the sale price of the bracelet. Use dollar signs with your answer. *
Answer:
The answer would be $37.40
Step-by-step explanation:
The sale price would be the current price which is 44 - 15% of itself.
It is 15 percent off, so 44 x 0.85 would be the equation, since the now price is 85 percent of the original price.
44 x 0.85 = 37.40
dollar signs ;)
Answer:
$33.00
And here's a link to the quiz i think your taking. (Its a answer key)
https://quizizz.com/admin/quiz/5c90d54dd7b2aa001fb8e8b8/-applications
Walmart charges a $4 fee to cash a check that is worth up to $1000.
Imagine you deposit four checks per month. Write an equation to model the total you pay in check cashing fees, y, after x months
Please hurry i need ASAP
Based on the information given, the possible equation that would model the situation described is y = 4x.
What are the variables in this situation?In this situation, there are three variables:
The fee to cash a check, which is $4.The total that you pay, which is represented by y.The number of months, which is represented by x.Now, using these variables, let's create an equation that matches the situation:
y = 4 x
This equation means that the total of money paid for cashing a check is equal to 4 (fee) multiplied by x number of months assuming each month you cash one check.
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After being in effect for 4 years, the rate of interest on Syd Mutin’s variable rate mortgage increased to 6.48% from 4.7%. Syd’s old monthly payment was $259.32. His new monthly payment is $327.18. How much more will Syd pay in one year at the new mortgage rate?
The solution are:
A) $954.83
B) $143,739.01
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
Explanation:
If you are taking a 30 year fixed rate mortgage for $200,000 with an interest rate of 4%, you are going to pay 360 equal monthly installments of $954.83.
At the end of the 30 years, you will have paid a total of $343,739.01, out of which $143,739.01 will amount to interest.
The easiest way to calculate this is by using a mortgage calculator, you can choose from several free options online.
But if you want to do it manually, you would need to elaborate a 360 month payment schedule.
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how did we get 13.50 for the arrival of entity
To arrive at 13.50 for the entity, we can use the following equation: Entity + Arrival = 13.50. Therefore, the answer is 13.50.
To determine how we got 13.50 for the arrival of entity, we need to know the context of the question and the specific calculation that was made. Without this information, it is difficult to accurately answer the question. However, I will provide a general explanation of how to calculate the arrival of an entity.
First, determine the starting point or initial value of the entity. This could be the original cost, initial position, or any other relevant value.
Next, determine the rate of change for the entity. This could be the rate of increase or decrease, the speed of movement, or any other relevant rate.
Finally, use the formula: final value = initial value + (rate of change x time) to calculate the arrival of the entity. In this case, if the initial value was 10 and the rate of change was 0.5 per hour for 7 hours, the final value would be 13.50 (10 + (0.5 x 7)).
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PLEASE HELP!!
How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?
Answer: \(No~Solution\)\(s\)
Step-by-step explanation:
Let's factor then solve to find the complex solutions.
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : \(-4x-11=2(x-3x)+13\)
Equations that are never true:
\(1.1 ~~~~ Solve : -24 = 0\)
This equation has no solution.
A non-zero constant never equals zero.
Therefore your answer is \(No~Solution\)
We just purchased some sweet tea concentrate (we're being adventurous). It's supplied as a 90% solution. We need 5 L of 40% sweet tea concentrate for the cookout later (it'll make some great tea). How would we make this solution (note: we'll need to add water to our concentrate to make the sweet tea)? 2. The molecular weight of anhydrous calcium chloride is 110.99grams/mol. How many grams do we need for 400ml of 790mM calcium chloride? 3. We have 10 mL of cells to treat with Hydrogen Peroxide (H
2
O
2
), such that the final concentration of H
2
O
2
is 20μM. How much of a 30mM stock solution of H
2
O
2
would we add to our cells? 4. We need to prepare a stock solution of medium for your culture cells, which usually includes liquid salt solution and bovine serum. Our liquid salt solution is supplied in a 50X concentration, and we need to dilute it to 1X for use. We also need to add 75% fetal bovine serum for a final concentration of 15%. How would we make up 0.80 liters of this culture media using water as our solvent?
1. To make 5 L of a 40% sweet tea concentrate, you need to mix approximately 2.22 L of the 90% sweet tea concentrate with 2.78 L of water.
2. For 400 ml of 790 mM calcium chloride, you would need approximately 34.97 grams of anhydrous calcium chloride.
3. To achieve a final concentration of 20 μM hydrogen peroxide in 10 ml of cells, you would need to add approximately 6.67 μL of a 30 mM stock solution of hydrogen peroxide.
4. To prepare 0.80 liters of culture media, you would need to mix 16 ml of the 50X liquid salt solution with 784 ml of water.
C1V1 = C2V2 where C1 is the initial concentration (90%), V1 is the initial volume (unknown), C2 is the desired concentration (40%), and V2 is the final volume (5 L). Rearranging the equation, we have:
V1 = (C2V2) / C1
Plugging in the values, we get:
V1 = (0.4 * 5 L) / 0.9
V1 ≈ 2.22 L
So, you'll need to mix approximately 2.22 L of the 90% sweet tea concentrate with 2.78 L of water to obtain 5 L of a 40% sweet tea concentrate for your cookout.
To calculate the amount of anhydrous calcium chloride needed for 400 ml of 790 mM calcium chloride, you can use the formula:
mass = molarity × volume × molecular weight
First, convert the molarity from mM to M (mol/L):
790 mM = 0.79 M
Then, calculate the mass using the formula:
mass = 0.79 M × 0.4 L × 110.99 g/mol
mass ≈ 34.97 g
Therefore, you would need approximately 34.97 grams of anhydrous calcium chloride for 400 ml of 790 mM calcium chloride solution.
To determine the amount of a 30 mM stock solution of hydrogen peroxide (H2O2) needed to achieve a final concentration of 20 μM in 10 ml of cells, you can use the formula:
C1V1 = C2V2
Where C1 is the initial concentration (30 mM), V1 is the initial volume (unknown), C2 is the desired concentration (20 μM), and V2 is the final volume (10 ml). Rearranging the equation, we have:
V1 = (C2V2) / C1
Plugging in the values, we get:
V1 = (20 μM × 10 ml) / 30 mM
V1 ≈ 6.67 μL
Therefore, you would need to add approximately 6.67 μL of the 30 mM stock solution of hydrogen peroxide to your 10 ml of cells to achieve a final concentration of 20 μM.
To prepare a stock solution of medium for your culture cells, you'll need to dilute the liquid salt solution and add the required amount of fetal bovine serum (FBS). Since the liquid salt solution is supplied at a 50X concentration and you need a 1X concentration, you'll need to dilute it 50-fold. For a final volume of 0.80 liters, you'll need to mix 0.016 liters (or 16 ml) of the 50X liquid salt solution with 0.784 liters (or 784 ml) of water.
Next, you'll need to calculate the volume of FBS required to achieve a final concentration of 15%. To calculate this, you can use the equation:
V_FBS = (C_FBS × V_total) / C_FBS%
Where V_FBS is the volume of FBS, C_FBS is the desired concentration (15%), V_total is the final volume (0.80 liters), and C_FBS% is the concentration of the supplied FBS (75%). Plugging in the values, we get:
V_FBS = (0.15 × 0.80 liters)
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convert 1/2 by decimal
Answer:
1/2
= 0.5
Step-by-step explanation:
this is very easy
over the past month, george the tortoise has been flipped onto his back 114 times by angie the tortoise. george has been able to get back on his feet without help 5 times. what's the empirical probability that george will be able to get back on his feet without help the next time angie flips him over?
The empirical probability that George will get back on his feet the next time Angie knocks him down is 5/114.
Empirical probability:Event probabilities are closely related to empirical probabilities, also called empirical probabilities.
Empirical probability is an estimate of the probability of a particular outcome occurring again, based on the number of instances of that outcome in the sample set.
In the given question.
Also includes George the Turtle, who flipped Angie the Tortoise 114 times.
Three times George got back on his feet with help. Empirical probabilities are exactly what we are looking for.
Based on our observations, we will now empirically calculate whether George will be able to stand again.
Therefore,
The Empirical probability = 5/114
So, the next time Angie knocks George down, the empirical probability that George will be able to get back up on his own will be his 5/114.
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Isaiah was given a gift card for a coffee shop. Each morning, Isaiah uses the card to buy one cup of coffee. Each cup of coffee costs $2.50 and after buying 16 cups of coffee, the card had a $5 remaining balance. Write an equation for A(x),A(x), representing the amount money remaining on the card after buying xx cups of coffee.
Answer:
$45-$2.50xx
Step-by-step explanation:
Let first of all determine the original amount on the gift card as follows
amount utilized=$2.50*16=$40
balance left after utilizing $40=$5
original amount on the gift card=amount utilized+balance left=$40+$5=$45
if xx cups of coffee is purchased ,the amount utilized would be xx*$2.50
i.e $2.50xx
The equation for the amount left would total amount on the gift card minus the $2.50xx
equation for amount remaining =$45-$2.50xx
If the questioner has duplicated x,which means he or she meant just x
equation of the amount remaining would=$45-$2.50x
A group contains n men and n women. How many ways are there to arrange these people in a row if the men and women alternate? Justify.
So, there are (n!)^2 ways to arrange n men and n women in a row if they alternate genders.
We need to use the principle of multiplication. We first choose the position of the first person in the row, which can be any of the n men or n women. Without loss of generality, let's say we choose a man. Then, for the next position, we need to choose a woman since we are alternating genders. There are n women to choose from. For the third position, we need to choose another man, and there are n-1 men left to choose from (since we already used one). For the fourth position, we need to choose another woman, and there are n-1 women left to choose from. We continue this pattern until all n men and n women are placed in the row.
Using the principle of multiplication, we can find the total number of ways to arrange the people by multiplying the number of choices at each step. Therefore, the total number of ways to arrange the people in a row if the men and women alternate is:
n * n-1 * n * n-1 * ... * 2 * 1
This can be simplified to:
(n!)^2
So, there are (n!)^2 ways to arrange n men and n women in a row if they alternate genders.
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What can you conclude about the population density from the table provided? Population Area (km²) Region A 20,178 521 Region B 1,200 451 Region C 13,475 395 Region D 6,980 426
Answer:
A got it right
Step-by-step explanation:
got it right
Which weights are within 2 standard deviations of the mean? select three options. 8.4 lbs 8.9 lbs 9.5 lbs 10.4 lbs 10.9 lbs
The weights are within 2 standard deviations of the mean are 8.9 lbs, 9.5 lbs and 10.4 lbs
How to determine the weights?The given parameters are:
Mean, μ = 9.5Standard deviation, σ = 0.5The weights within 2 standard deviation is represented as:
μ - 2σ ≤ x ≤ μ + 2σ
Substitute known values
9.5 - 2(0.5) ≤ x ≤ 9.5 + 2(0.5)
Evaluate the product
9.5 - 1 ≤ x ≤ 9.5 + 1
Evaluate the sum
8.5 ≤ x ≤ 10.5
This means that the weights are between 8.5 and 10.5 (inclusive)
Hence, the weights are within 2 standard deviations of the mean are 8.9 lbs, 9.5 lbs and 10.4 lbs
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Answer:
B C D
Step-by-step explanation:
I got it right on the quiz. :)
If a wind turbine's blades reach 20 feet in diameter and makes 4 revolutions, how far would one blade travel from start to end?
Answer:
https://mmpa.org/wp-content/uploads/2015/09/Tip-Speed-Ratio-Provided-by-Kid-Wind-PDF.pdf
check this out - - it might help!
Step-by-step explanation:
A booth at the circus is taking donations for the children's hospital. They noticed on Saturday that more than 248 people donated money. Women averaged a donation of $10, and men averaged a donation of $15.
Which system of inequalities could be used to determine the number of women (w) and men (m) who donated, if no more than $3,130 was donated?
A.
B.
C.
D.
Reset Submit
The system of inequalities that could be used to determine the number of women (w) and men (m) who donated, if no more than $3,130 was donated is:
10w + 15m > 248
w + m < 213
10w + 15m < 3130
This system of inequalities can be used to model the scenario you've described, where the booth at the circus took donations for the children's hospital, and more than 248 people donated money. The first inequality states that the total number of donations from women (w) multiplied by $10 and the total number of donations from men (m) multiplied by $15 should be greater than 248. The second inequality states that the total number of women (w) and men (m) should be less than 213. The third inequality states that the total amount donated by women (w) multiplied by $10 and total amount donated by men (m) multiplied by $15 should be less than $3,130.
Therefore, the correct answer is option A. ✅
A sample of n = 22 is taken and the sample mean is =35 and a sample standard deviation of s= 9.38. Construct a 95% confidence interval for the true mean, µ.
(33, 37)
(31.56, 38.44)
(30.84, 39.16)
(25.62, 44.38)
The answer is (B) (31.56, 38.44) which means we are 95% confident that the true population mean lies between 31.56 and 38.44.
The 95% confidence interval for the population mean, µ, is given by:
CI = ± tα/2 * (s/√n)
where is the sample mean, s is the sample standard deviation, n is the sample size, and tα/2 is the t-value with (n-1) degrees of freedom at the α/2 level of significance.
Here, = 35, s = 9.38, and n = 22. From the t-distribution table with (n-1) = 21 degrees of freedom and a 95% confidence level, we have tα/2 = 2.08.
Plugging in the values, we get:
CI = 35 ± 2.08 * (9.38/√22)
= (31.56, 38.44)
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Let the multiply instruction take 12 cycles and all other instructions 4 cycles. Now, given an embedded program with 15% multiply instructions. Suppose there is a new design where the multiply instruction can be reduced to 8 cycles but the cycle time increased by 20%. Let the embedded program be run on the old and new designs.
What are the CPIs by the old and new designs? In terms of performance, which design is better (need to justify your answer)?
The new design has better performance.In the old design, the CPI was 0.052, while in the new design, the CPI was 0.046 As a result, the new design is the winner here since the CPI is lower in the new design.
Given data,
Length of Embedded Program = 1
Let the multiply instruction = 12 cycles
All other instruction = 4 cycles
Percentage of multiply instructions in embedded program = 15%
Let's calculate the CPI (Cycles Per Instruction) of the old design.
CPI of the old design
\(CPI = (no. of cycles for multiply instruction × % of multiply instruction + no. of cycles for all other instructions × % of all other instructions)/100\)
We know no. of cycles for multiply instruction = 12 cycles
No. of cycles for all other instructions = 4 cycles
\(Percentage of all other instructions = 100% - Percentage of multiply instructions= 100% - 15% = 85%\)
Putting all the values,
\(CPI of the old design= (12 × 15% + 4 × 85%)/100= (1.8 + 3.4)/100= 5.2/100= 0.052\)
CPI of the old design = 0.052
Let's calculate the CPI (Cycles Per Instruction) of the new design.
Cycle time of new design is increased by 20%, it means
the new cycle time will be = 1.2 Old cycle time
New cycle time = 1.2 × Old cycle time
New cycle time / Old cycle time = 1.2
Let's calculate the new cycle time,
Cycle time of new design = 1.2 × 4= 4.8 cycles
The number of cycles for multiply instruction is reduced to 8 cycles
Let's calculate the CPI of the new design.
CPI of the new design
\(CPI = (no. of cycles for multiply instruction × % of multiply instruction + no. of cycles for all other instructions × % of all other instructions)/100\)
We know no. of cycles for multiply instruction = 8 cycles
No. of cycles for all other instructions = 4 cycles
\(Percentage of multiply instructions = 15%Percentage of all other instructions = 100% - Percentage of multiply instructions= 100% - 15% = 85%\)
Putting all the values,
\(CPI of the new design= (8 × 15% + 4 × 85%)/100= (1.2 + 3.4)/100= 4.6/100= 0.046\)
CPI of the new design = 0.046
In terms of performance, a lower CPI means better performance.
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What is an equation of the line that passes through the points (8, -5)(8,−5) and (8, -2)(8,−2)?
Answer:
This is undefined because the slope is 3/0, and you can't divide by 0
0.3(4 − x) = x − 1.4?
Answer:
x is equal to 2
Step-by-step explanation:
simplify the equation
distribute the 0.3
0.3*4-0.3x=x-1.4
1.2-0.3x=x-1.4
get x by itself on one side
1.2+1.4=x+0.3x
simplify
2.6=1.3x
2=x
Find the are of the kite! Please.
Answer Options:
A) 44 ft squared
B) 11 ft squared
C) 36 ft squared
D) 72 ft squared
Answer:
C) 36 ft squared
Step-by-step explanation:
The area of a kite can be found using the following formula:
\(\boxed{\mathrm{Area = \frac{1}{2} \times d_1 \times d_2}}\),
where \(\mathrm{d_1}\) and \(\mathrm{d_2}\) are lengths of the of the diagonals of the kite.
In this question, the lengths of the diagonals are:
• \(\mathrm{d_1}\) = 6 ft + 12 ft = 18 ft
• \(\mathrm{d_2}\) = 2 ft + 2 ft = 4ft
Substituting these values into the formula:
\(\mathrm{Area = \frac{1}{2} \times 18 \space\ ft \times 4 \space\ ft }\)
\(\mathrm{= \bf 36 \space\ ft^2}\)
(07.04 LC)
The sail of a boat is in the shape of a right triangle, as shown below:
6 m
50
Which expression shows the length, in meters, of the side adjacent to the 50 degree angle? (6 points)
6 sin 50
6 cot 50
6
sec 50°
6
cot 508
The expression that shows the length of the adjacent side is 6cos(50)
The expression that shows the length of the adjacent sideFrom the question, we have the following parameters that can be used in our computation:
Angle = 50 degrees
Hypotenuse = 6 meters
The length of the adjacent side is then calculated as
cos(angle) = adjacent/hypotenuse
substitute the known values in the above equation, so, we have the following representation
cos(50) = x/6
This gives
x = 6cos(50)
Hence, the expression is 6cos(50)
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The radius of a circle is 6 kilometers. What is the length of a 75° arc?
Answer:
7.85km
Step-by-step explanation:
Given data
Radius= 6km
θ= 75°
Arc length = 2πr (θ/360)
substitute
Arc length = 2*3.142*6 (75/360)
Arc length = 2*3.142*6*0.2083
Arc length = 7.85 km
Hence the length of the arc is 7.85km
PLEASE HELP WILL MARK BRAINLIEST
Which situation results in a final value of zero?
А. The temperature after a decrease of 5°F from a temperature of -5°F.
B. The height of an airplane after taking off from ground level and rising 1,000 feet.
C. The amount of money received in change after making a $10 purchase with a
$20 bill.
D. The distance above sea level after increasing 24 meters from a depth of 24 meters
below sea level.
PLEASE ANSWER I WILL GIVE BRAINLIEST!!!
THE ANSWER IS A.
Step-by-step explanation:
which form most quickly reveals the vertex?
choose 1 answer:
a. g(x)=-2x^2-16x-14
b. g(x)=-2(x+4)^2+18
c. g(x)=-2(x+1)(x+7)
what is the vertex?
vertext= (___,___)
Answer:
The most quickly reveals the vertex is g(x) = -2(x + 4)² + 18 ⇒ b
The vertex = (-4, 18)
Step-by-step explanation:
The vertex form of the quadratic function f(x) is:
f(x) = a(x - h)² + k, where
a is the coefficient of x²(h, k) are the coordinates of the vertex pointThe most quickly reveals to find the vertex is the vertex form above
Look at the answer and try to find a similar form to the vertex form above
∵ g(x) = -2(x + 4)² + 18
∴ a = -2
∴ h = -4
∴ k = 18
⇒ That means this form is similar to the form above
∴ The most quickly reveals the vertex is g(x) = -2(x + 4)² + 18
∴ The vertex = (-4, 18)
There are 4 chocolate chip cookies and 3 oatmeal cookies in a cookie jar. If a child randomly takes 2 cookies, what is the probability that both are chocolate chip?