Match each equation with the correct type of probability?
Answers:
P(A or B) not mutually exclusiveP(A and B) not independent (aka dependent)P(A and B) independentP(A or B) mutually exclusiveP(A | B)=============================================
Explanation:
The formula we use for "or" cases is
P(A or B) = P(A) + P(B) - P(A and B)
If events A and B are mutually exclusive, then we ignore the P(A and B) part since that is 0. Mutually exclusive events cannot occur simultaneously, which is why we have that 0.
-----------
For "and" cases, we have two basic flavors
P(A and B) = P(A)*P(B | A)
P(A and B) = P(B)*P(A | B)
We go with the first case for problem 2. These formulas apply if A and B are not independent.
If they are independent, then
P(A and B) = P(A)*P(B)
-----------
Start with the equation P(A and B) = P(B)*P(A | B) and divide both sides by P(B).
You'll end up with
P(A | B) = P(A and B)/P(B)
which is a conditional probability.
Rosalie evaluates the numerical expression 6+4 7 -1.
What should be Rosalie's first step?
Rosalie's first step should be to ?
The pounds of bananas sold each week at all Metro Seattle Alberstons stores as a function of price, p, in dollars/pound(lb.) is given by.
q(p) = 100e^(1.5(5-p))
1. What is the price elasticity of demand for bananas at $.20/lb. ?
(nearest 0.01)
2. What is the price elasticity of demand for bananas at $1/lb. ?
3. At what price is the maximum revenue per week achieved?
+/- $0.01
4. What is that maximum revenue per week?
5. How many pounds will be sold each week at that optimal price
140.55 pounds will be sold approximately each week at the optimal price of $0.67/lb.
How will you solve all the parts of this question?To find the price elasticity of demand for bananas at $0.20/lb, we need to use the formula:
According to the given data:
E(p) = -p(q'/q(p))
where q' is the derivative of q(p) with respect to p.
First, we need to find q'(p):
\(q'(p) = -225e^(1.5(5-p))\)
Then, we can plug in the values:
E(0.20) = -0.20(q'(0.20)/q(0.20))
= \(-0.20(-225e^(1.5(5-0.20)) / 100e^(1.5(5-0.20)))\)
= 2.70
Therefore, the price elasticity of demand for bananas at $0.20/lb is 2.70.
To find the price elasticity of demand for bananas at $1/lb, we can use the same formula:
E(p) = -p(q'/q(p))
First, we need to find q'(p):
\(q'(p) = -225e^(1.5(5-p))\)
Then, we can plug in the values:
E(1) = -1(q'(1)/q(1))
= \(-1(-225e^(1.5(5-1)) / 100e^(1.5(5-1)))\)
= 0.68
Therefore, the price elasticity of demand for bananas at $1/lb is 0.68.
To find the price that maximizes revenue, we need to find the value of p that makes revenue, R(p), maximum.
Revenue is given by:
R(p) = pq(p)
= \(p100e^(1.5(5-p))\)
To maximize revenue, we need to find the critical point of R(p) by taking its derivative and setting it equal to zero:
\(R'(p) = 100e^(1.5(5-p)) - 150pe^(1.5(5-p)) = 0\)
Simplifying this expression, we get:
\(2e^(1.5(5-p)) - 3pe^(1.5(5-p)) = 0\)
2 = 3p
p = 2/3
Therefore, the price that maximizes revenue is $0.67/lb.
To find the maximum revenue per week, we can plug this price back into the revenue equation:
\(R(2/3) = (2/3)*100e^(1.5(5-2/3))\)
= $167.56
Therefore, the maximum revenue per week is $167.56.
To find how many pounds will be sold each week at the optimal price of $0.67/lb, we can plug this price back into the demand equation:
\(q(2/3) = 100e^(1.5(5-2/3))\)
= 140.55
Therefore, approximately 140.55 pounds will be sold each week at the optimal price of $0.67/lb.
To know more about elasticity of demand visit:
brainly.com/question/28790459
#SPJ1
A package contains 20 golf balls. The total
weight of the golf balls is 32 ounces. Use the
model to show the number of ounces per
golf ball and the number of golf balls per
ounce. Write your answers in the blanks.
Answer: 1.6
Step-by-step explanation:
each golf is 1.6 ounces and you 20 golf balls in order to reach 32 ounces
Answer:
shown below
Step-by-step explanation:
golf balls per ounce = 5/8 or 0.625
ounces per gold ball = 8/5 or 1.6
There are 43 tiles in a bag. The colors are red, blue, green and yellow. Find the
number of each color tile given the following ratios:
red : blue = 2 : 3 blue : green = 2 : 1 green : yellow = 2 : 5
what is the number of tiles of each color??
Answer:
43/13, 129/26, 129/13, 645/26
Step-by-step explanation:
Let w represent the number of red tiles, x represent the number of blue tiles, y represent the number of green tiles and z represent the number of yellow tiles. Hence:
w + x + y + z = 43 (1)
x = 3/5(w + x)
2x/5 = 3w/5
x = 3/2(w)
x = 5w/2 - w = 3w/2 (2)
y = 2/3(x + y)
y/3 = 2x/3
y = 2x = 2(3w/2) = 3w (3)
z = 5/7(y + z)
2/7(z) = 5y/7
z = 5y/2 = 5(3w)/2 = 15w/2 (4)
substitute x = 3w/2, y = 3w and z = 15w/2 in equation 1:
w + 3w/2 + 3w + 15w/2 = 43
13w = 43
w = 43/13
x = 129/26
y = 3w = 129/13
z = 645/26
What is the answer? Is it the first, second, third or fourth.
Answer:
4th
Step-by-step explanation:
There are fewer than 76 because 5 x 76= 380+20=400 and 400 has to be greater than the number. Therefore you make it less than 76. Hopefully this helps!
Answer:
(d)
Step-by-step explanation:
the answer is there are fewer than 76.
please help
Q10)In a box of 25 switches, 13 are round and the rest are squared. What is the probability of randomly selecting a switch that is squared?
Q11) Oak trees shade 30% of the Fitzgerald’s’ backyard. What is the probability that someone standing at a random point in the backyard will NOT be in the shade?
Marble drawing experiment
Color Times Drawn
Pink 12
Green 10
Blue 16
Yellow 12
Q12. A marble is drawn from a bag and then its color is recorded in the table
a) Find the experimental probability of drawing a blue marble
b) Find the experimental probability of drawing a pink or a yellow marble
c) Find the experimental probability of drawing not a green marble
Q13) Two 1–6 number cubes are rolled—one is black and one is white. Find the following probabilities.
a) Rolling an odd number and then the number 5.
b) The black cube shows a multiple 3 and the product of the rolls is less than or equal to 6.
c) The white cube shows an even number, and the sum is 8.
Q14). A bag contains 10 blue cubes, 15 red cubes, and 25 green cubes. Find each probability.
a) A green cube and then a blue cube are chosen at random with replacement.
b) A red cube and then a blue cube are chosen at random without replacement
c) Two cubes of the same color without replacement
6. Journalise the following transactions
1. Bricks for Rs 60,000 and timber for Rs 35,000 purchased for
the construction of building. The payment was made by cheque.
2. Placed in fixed deposit account at bank by transfer from current
account Rs 13,000.
3. Appointed Mr. S.N. Rao as Accountant at Rs 300 p.m. and
Received Rs 1000 as security Deposit at 5% p.a. interest.
4. Sold goods to shruti for Rs 80,000 at 15% trade discount and
4% cash discount. Received 75% amount immediately through a
cheque.
5. Purchased goods from Richa for Rs 60,000 at 10% trade
discount and 5% cash discount. 60% amount paid by cheque
immediately.
6.
On 18th jan,Sold goods to shilpa at the list price of Rs 50,000
20% trade discount and 4% cash discount if the payment is made
within 7 days. 75% payment is received by cheque on Jan 23rd.
7. On 25th jan, sold goods to garima for Rs 1,00,000 allowed her
20% trade discount and 5% cash discount if the payment is made
within 15 days. She paid 1/4th of the amount by cheque on Feb 5th
and 60% of the remainder on 15th in cash.
8. Purchased land for Rs 2,00,000 and paid 1% as brokerage and
Rs 15,000 as registration charges on it. Entire payment is made by
cheque.
9. Goods worth Rs 25,000 and cash Rs 40,000 were taken away
by the proprietor for his personal use.
10. Sold goods costing Rs 1,20,000 to charu at a profit of 33% 3 %
on cost less 15% trade discount.
9
11. Paid rent of building Rs 60,000 by cheque. Half the building is
used by the proprietor for residential purpose.
12. Sold goods costing Rs 20,000 to sunil at a profit of 20% on
sales less 20% trade discount .
13. Purchased goods for Rs 1000 from nanda and supplied it to
helen for Rs 1300. Helen returned goods worth Rs 390, which in
turn were returned to nanda.
14. Received invoice at 10% trade discount from rohit and sons
and supplied these goods to madan, listed at Rs 3000.
1.Bricks and timber purchased for construction. (Debit: Bricks - Rs 60,000, Debit: Timber - Rs 35,000, Credit: Bank - Rs 95,000)
2.Transfer of Rs 13,000 to fixed deposit account. (Debit: Fixed Deposit - Rs 13,000, Credit: Current Account - Rs 13,000)
3.Appointment of Mr. S.N. Rao as Accountant. (Debit: Salary Expense - Rs 300, Debit: Security Deposit - Rs 1,000, Credit: Accountant - Rs 300)
4.Goods sold to Shruti with discounts. (Debit: Accounts Receivable - Shruti - Rs 80,000, Credit: Sales - Rs 80,000)
5.Goods purchased from Richa with discounts. (Debit: Purchases - Rs 60,000, Credit: Accounts Payable - Richa - Rs 60,000)
6.Goods sold to Shilpa with discounts and received payment. (Debit: Accounts Receivable - Shilpa - Rs 50,000, Credit: Sales - Rs 50,000)
7.Goods sold to Garima with discounts and received partial payment. (Debit: Accounts Receivable - Garima - Rs 1,00,000, Credit: Sales - Rs 1,00,000)
8.Purchase of land with additional charges. (Debit: Land - Rs 2,00,000, Debit: Brokerage Expense - Rs 2,000, Debit: Registration Charges - Rs 15,000, Credit: Bank - Rs 2,17,000)
9.Proprietor took goods and cash for personal use. (Debit: Proprietor's Drawings - Rs 65,000, Credit: Goods - Rs 25,000, Credit: Cash - Rs 40,000)
10.Goods sold to Charu with profit and discount. (Debit: Accounts Receivable - Charu - Rs 1,20,000, Credit: Sales - Rs 1,20,000)
11.Rent paid for the building. (Debit: Rent Expense - Rs 60,000, Credit: Bank - Rs 60,000)
12.Goods sold to Sunil with profit and discount. (Debit: Accounts Receivable - Sunil - Rs 24,000, Credit: Sales - Rs 24,000)
13.Purchased goods from Nanda and supplied to Helen. (Debit: Purchases - Rs 1,000, Debit: Accounts Payable - Nanda - Rs 1,000, Credit: Accounts Receivable - Helen - Rs 1,300, Credit: Sales - Rs 1,300)
14.Purchased goods from Rohit and Sons and supplied to Madan. (Debit: Purchases - Rs 2,700, Credit: Accounts Payable - Rohit and Sons - Rs 2,700, Debit: Accounts Receivable - Madan - Rs 3,000, Credit: Sales - Rs 3,000)
Here are the journal entries for the given transactions:
1. Bricks and timber purchased for construction:
Debit: Bricks (Asset) - Rs 60,000
Debit: Timber (Asset) - Rs 35,000
Credit: Bank (Liability) - Rs 95,000
2. Transfer to fixed deposit account:
Debit: Fixed Deposit (Asset) - Rs 13,000
Credit: Current Account (Asset) - Rs 13,000
3. Appointment of Mr. S.N. Rao as Accountant:
Debit: Salary Expense (Expense) - Rs 300
Debit: Security Deposit (Asset) - Rs 1,000
Credit: Accountant (Liability) - Rs 300
4. Goods sold to Shruti:
Debit: Accounts Receivable - Shruti (Asset) - Rs 80,000
Credit: Sales (Income) - Rs 80,000
5. Goods purchased from Richa:
Debit: Purchases (Expense) - Rs 60,000
Credit: Accounts Payable - Richa (Liability) - Rs 60,000
6. Goods sold to Shilpa:
Debit: Accounts Receivable - Shilpa (Asset) - Rs 50,000
Credit: Sales (Income) - Rs 50,000
7. Goods sold to Garima:
Debit: Accounts Receivable - Garima (Asset) - Rs 1,00,000
Credit: Sales (Income) - Rs 1,00,000
8.Purchase of land:
Debit: Land (Asset) - Rs 2,00,000
Debit: Brokerage Expense (Expense) - Rs 2,000
Debit: Registration Charges (Expense) - Rs 15,000
Credit: Bank (Liability) - Rs 2,17,000
9. Goods and cash taken away by proprietor:
Debit: Proprietor's Drawings (Equity) - Rs 65,000
Credit: Goods (Asset) - Rs 25,000
Credit: Cash (Asset) - Rs 40,000
10. Goods sold to Charu:
Debit: Accounts Receivable - Charu (Asset) - Rs 1,20,000
Credit: Sales (Income) - Rs 1,20,000
Credit: Cost of Goods Sold (Expense) - Rs 80,000
Credit: Profit on Sales (Income) - Rs 40,000
11. Rent paid for the building:
Debit: Rent Expense (Expense) - Rs 60,000
Credit: Bank (Liability) - Rs 60,000
12. Goods sold to Sunil:
Debit: Accounts Receivable - Sunil (Asset) - Rs 24,000
Credit: Sales (Income) - Rs 24,000
Credit: Cost of Goods Sold (Expense) - Rs 20,000
Credit: Profit on Sales (Income) - Rs 4,000
13. Goods purchased from Nanda and supplied to Helen:
Debit: Purchases (Expense) - Rs 1,000
Debit: Accounts Payable - Nanda (Liability) - Rs 1,000
Credit: Accounts Receivable - Helen (Asset) - Rs 1,300
Credit: Sales (Income) - Rs 1,300
14. Goods received from Rohit and Sons and supplied to Madan:
Debit: Purchases (Expense) - Rs 2,700 (after 10% trade discount)
Credit: Accounts Payable - Rohit and Sons (Liability) - Rs 2,700
Debit: Accounts Receivable - Madan (Asset) - Rs 3,000
Credit: Sales (Income) - Rs 3,000
for such more question on journal entries
https://brainly.com/question/28390337
#SPJ8
The Perimeter of a rectangle is 64 cm. The length is 2cm more than 1.5 times the width
Answer:
The length is 20
The width is 12
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
How do I turn 93.75 into a fraction? :)
Answer:
Say it out loud like 93/and 75 hundrenths you count the denominators place and since it has two you say hundrenths.
Answer:
93 3/4
Step-by-step explanation:
93.75 = 93.75/1
93.75/1 × 100/100 = 9375/100
9375 ÷ 25 / 100 ÷ 25 = 37/54
93 3/4
93.75 = 93 3/4
Which of the following statements is true and would show that the 4 points are the vertices of a parallelogram? A. DA = AB = BC = CD = v17 B. AB = CD = v13; DA = BC = v17C. DB = v18; AC = v38
Answer:
B. AB = CD = sqrt(13); DA = BC = sqrt(17)
This is because in a parallelogram, opposite sides are equal in length. In this statement, AB is equal to CD and DA is equal to BC, so opposite sides are equal. The values of AB, CD, DA, and BC are given as the square root of 13 and the square root of 17, which matches the condition of the statement.
In statement A, all sides are equal in length, which means the shape is a rhombus, not necessarily a parallelogram.
g(x)
12 fy
10
88
8
6
4
4-3-2-12
-8
10
-1²1
f(x)
4 5 6 x
Which statement is true regarding the functions on the
graph?
Of(6) = g(3)
f(3) = g(3)
f(3) = g(6)
f(6) = g(6)
PLEASE HURRY IM TIMED!!!!
Answer: f(3) = g(6)
Step-by-step explanation: if you plug them in we see that f of 3 on the y axis intercept g of x so we then go up and see that g of 6 intercepts f of 3 so therefore that is the answer
The range of the integers 20, 6, 18, -15, -12 is
a) 20
b) 35
c) -25
d) -15
Answer:
B. 35
Step-by-step explanation:
The range of a set of numbers is the difference between the highest and lowest numbers in the set.
1. Find the highest and lowest numbers from the set. Arranging them from least to greatest can make this easier.
-15, -12, 6, 18, 20
The lowest number is -15 and the highest is 20.
2. Subtract these two numbers to find the range.
20 -- 15
Two minus signs like that make a positive, so it becomes an addition problem.
20 + 15 = 35
Answer is b.
I also think the right option is B)- 35
experimento aleatorio con orden,remplazo y sin repeticion
A randomized experiment with order, replacement, and no repetition is one in which the order of the outcomes matters, the same outcome can occur multiple times, and no outcome can occur more than once.
How to explain the information.For example, drawing a card from a deck and then flipping a coin would be a random experiment with order, replacement, and no repetition. The order of the results is important because the outcome of the coin toss will depend on the outcome of the card draw.
The same result can occur multiple times because the same card can be drawn twice, and no result can occur more than once because the coin can only land heads or tails once.
Learn more about the experiments at
brainly.com/question/17274244
#SPJ1
Random experiment with order, replacement and without repetition
Solve the system of linear equations by substitution 12x+y=−4 y=2x+16
Answer:
Your solution is (-10/7, 92/7)
Step-by-step explanation:
12x + y = -4
y = 2x + 16
To use substitution, we want to plug one variable's equation into the other equation.
We can see that y is already solved for us. Plug y into the first equation.
12x + y = -4
12x + (2x + 16) = -4
Combine like terms.
14x + 16 = -4
Subtract 16 from both sides.
14x = -20
Divide both sides by 14.
x = -20/14
x = -10/7
Now that we know x, we will plug it into one of the other equations.
y = 2x + 16
y = 2(-10/7) + 16
Multiply.
y = -20/7 + 16
Add.
y = -20/7 + 112/7
y = 92/7
Your solution is (-10/7, 92/7)
Hope this helps!
anybody plot the graph using laptop or computer need urgently
In the given inequality 14 + x > 5, the graph represents the value of x greater than -9.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
When the inequality is plotted on the graph it represents that the value of x is greater than -9.
The graph of the inequality 14 + x > 5, is attached with the answer below.
To know more about inequality follow
https://brainly.com/question/24372553
#SPJ1
Pls help me on this due in 10 mins
Answer:
A, E, G
Step-by-step explanation:
Answer:
A
E
G
Step-by-step explanation:
When you divide A, E, and G with the common factor, they all equal 5 : 9
Rewrite this number in scientific notation 54.8 times 10’3
Look at attachment down bellow
4a + 1 = a + 7
Solve for a
Answer:
a = 2
Step-by-step explanation:
Move the variable to the left-hand side and change its sign.
4a + 1 - a = 7
Move the constant to the right-hand side and change its sign.
4a - a = 7 - 1
Collect like terms
3a = 7 - 1
Subtract the numbers
3a = 6
Divide both sides of the equation by 3
a = 2
Children may ask what is 6+100, 6+100 equals to 106
Answer:
ye thats true..
Step-by-step explanation:
Considering the function
H(x) = -x + 6
which statement is true?
A. The output value of the function is 4 when the input value is -2
B. The output value of the function is 7 when the input value is 1
C. The output value of the function is 6 when the input value is x
D. The output value of the function is 8 when the input value is -2
The statement which is true is Option(D) The output value of the function is 8 when the input value is -2.
What do mathematical functions mean?An expression, rule, or regulation that establishes a relationship between one variable (the independent variable) and another variable (the dependent variable) is referred to as a function in mathematics.
Given function:
H(x) = -x + 6
In Option A, the input value is -2 so the output of the function will be,
H(x) = -x + 6 = -(-2) +6 = 2+ 6 = 8 ,which is not equal to the given output value 4.
Hence, the statement is false.
Similarly in Option B and C, the input values are 1 and x.
H(x) = -x + 6 = -1 +6 = 5 ≠ 7
H(x) = -x + 6 ≠ 6
The given output values are not equal to the output values calculated.
So both statements are false.
In Option D the input value is -2 and the output value is 8 which is a correct statement as calculated in Option A.
To know more about functions visit:
https://brainly.com/question/12618627
#SPJ13
/dashboard/home
Question 1
Solve the equation.
8(4-x) -7x + 2
?
DONE
Answer:
34-15x
Step-by-step explanation:
(We need to use the order of operations to answer this question.)
8(4 - x) - 7x + 2 (multiply 8 times 4, and 8 times x)
(32 - 8x) - 7x +2 (combine like terms, 32 + 2, and -8x - 7x)
34 - 15x (this is your final answer)
I hope this helped :)
Answer:
-15x+34
Step-by-step explanation:
See Steps below:)
True or false? In a two-column proof, the left column states your reasons.
A. True
B. False
A. True.
In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.
The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).
Explanation:The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.
A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.
For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.
Learn more about Two-Column Proof here:https://brainly.com/question/17343417
#SPJ2
A car travels an average speed of 45km per hour. What distance does it cover in 12 hours?
Answer:
540 kilometers
Step-by-step explanation:
The car travels 45 kilometers every 1 hour.
In 12 hours, 45 × 12 = 540
The car will have covered a distance of 540 kilometers.
If car travels an average speed of 45km per hour, the car covers a distance of 540 kilometers in 12 hours.
To calculate the distance covered by the car in 12 hours, we can use the formula:
Distance = Speed × Time
Given that the average speed of the car is 45 km per hour and it travels for 12 hours, we can plug these values into the formula:
Distance = 45 km/h × 12 hours
Distance = 540 km
The formula for calculating distance is straightforward: it multiplies the speed (rate of motion) by the time taken. In this case, the car travels at a constant speed of 45 km/h, which means it covers 45 kilometers every hour.
By traveling for 12 hours, it accumulates a total distance of 540 kilometers. This calculation is useful for determining how far an object, in this case, a car, will travel given its speed and the duration of its journey.
To learn more about distance/speed click on,
https://brainly.com/question/20250041
#SPJ2
Solving Polynomial Equations
25x²-9=0
Answer:
x = (3/5, -3/5)
using the data on this scatter plot
Answer:
\( - 8(45) + 482 = - 360 + 482 = 122\)
what is 11/2 times 1/3 as a fraction
Answer:
11/2 times 1/3 is 11/6
Step-by-step explanation:
11/2 times 1/3,
We have to multiply the numerators and denominators,
\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)
hence we get 11/6
Can someone please HELP ME WITH THIS IM STUCK
Answer:
$4240
Step-by-step explanation:
investment = $4000
intrest = $4000×6%
=4000×6÷100
=240
total=$4000+$240
=$4240
josh wants to make 5 airplane propellers. he needs 18 centimeters of wood for each propeller. how many centimeters of wood will he use?
To find the slope of a curve at a given point, we simply differentiate the equation of the curve and find the first derivative of the curve, i.e., dy/dx.
To find the slope of the curve, first differentiate the equation of the curve and substitute the value of x in the result
The slope of the curve is the change in y coordinates with respect to the change in x coordinates of the line
To find the slope of the curve at a given point
First differentiate the given equation of the curve with respect to x
That is dy / dx.
The derivative of the equation of the curve is the slope of the curve.
In next step substitute the value of x in the slope of the curve
The result will be the slope of the curve at a given point
Therefore, these are the steps to find the slope of the curve
I have answered the question in general, as the given question is incomplete
The complete question is:
How to find the slope of a curve at a given point?
Learn more about slope of the curve here
brainly.com/question/4748565
#SPJ4