Answers
The probability of a hurricane forming in the northern hemisphere, given that a tropical cyclone has already formed, is:
P(hurricane | northern hemisphere) = (379/1308) / (821/1308) = 379/821
then round to the tenths place: P(hurricane | northern hemisphere) = 379/821 x 100% ≈ 46.1%
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
To find the probability of a hurricane forming in the northern hemisphere, given that a tropical cyclone has already formed, we use the formula for conditional probability:
P(hurricane | northern hemisphere) = P(hurricane and northern hemisphere) / P(any tropical cyclone)
The probability of a hurricane forming in the northern hemisphere is given in the table as 379 out of the total number of tropical cyclones:
P(hurricane and northern hemisphere) = 379/1308
The probability of any tropical cyclone forming is the sum of the probabilities of all three types of tropical cyclones:
P(any tropical cyclone) = (100+342+379)/1308 = 821/1308
Therefore, the probability of a hurricane forming in the northern hemisphere, given that a tropical cyclone has already formed, is:
P(hurricane | northern hemisphere) = (379/1308) / (821/1308) = 379/821
This can be simplified by dividing both the numerator and denominator by the greatest common factor (gcd) of 379 and 821, which is 1:
P(hurricane | northern hemisphere) = 379/821
To express this as a percent rounded to the tenths place, we can divide 379 by 821 and multiply by 100, then round to the tenths place:
P(hurricane | northern hemisphere) = 379/821 x 100% ≈ 46.1%
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Related Questions
Find the measure of ∠ABC.
Answers
Answer:
I think it's just 100
Step-by-step explanation:
Its 100 because it's a litteraly on 100
please help now i hate this i keep getting a 60!!!
Answers
Answer: b
Step-by-step explanation:
it goes up by 8 each time
Individual A has a circle of five close friends (B, C, D, E, and F). A has heard a certain rumor from outside the circle and has invited the five friends to a party to circulate the rumor. To begin, A selects one of the five at random and tells the rumor to the chosen individual. That individual then selects at random one of the four remaining individuals and repeats the rumor. Continuing, a new individual is selected from those not already having heard the rumor by the individual who has just heard it, until everyone has been told.
a. What is the probability that the rumor is repeated in the order B, C, D, E, and F?
b. What is the probability that F is the third person at the party to be told the rumor?
c. What is the probability that F is the last person to hear the rumor?
d. If at each stage the person who currently "has" the rumor does not know who has already heard it and selects the next recipient at random from all five possible individuals, what is the probability that F has still not heard the rumor after it has been told ten times at the party?
Answers
Answer:
Step-by-step explanation:
From the given information;
The possible number of ways to select these people in order B, C, D, E, and F is:
= 5 × 4 × 3 × 2 × 1
= 120
However, using the order B, C, D, E, and F; The probability that the rumor is repeated is:
= 1/120
= 0.0083
b)
If we make F the subject here by selecting it such that F has not been selected in the first and second draw;
Then:
The possible numbers of ways to select F as third = 4 × 3 × 2 × 1
= 24
Now;
the required probability of F is the third person: = 24/120
= 0.2
c)
Suppose F is selected as the last person to hear the rumor;
Then, the selection of F in the last row = 4 × 3 × 2 × 1
Recall that; the total possible number of ways to select the person is B, C, D,E, and F which is = 120
Then, the required probability of F as the last person to hear the rumor is:
= 24/120
= 0.2
d)
Here, the required probability of F since F has not heard the rumor after it has been told tren times is:
= 4¹⁰
Let's no forget that the total number of possible ways to select the persons using the above criteria is = 5¹⁰
Thus, the required probability of F = 4¹⁰/5¹⁰
= 0.1074
Khalil signed up for a streaming music service that costs $11 per month. The service allows Khalil to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $1 per song. How much total money would Khalil have to pay in a month in which he downloaded 45 songs? How much would he have to pay if he downloaded
�
s songs?
Answers
The total cost of downloading 20 songs is $45.
The total cost of downloading ss songs is $11 + $1.0ss.
What does the word "cost" mean?
During the manufacturing or production of a company's goods and services, every expense incurred by the company is referred to as a cost.
In simplest terms, it is the amount of money that businesses invest in buying and selling goods.
The total cost of the of downloading songs is the sum of the fee per month and the cost of downloading songs.
Total cost of downloading 45 songs = cost per month x cost of downloading 45 songs
$11 + ($1 x 45)
$11 + $45
$56
Total cost of downloading ss songs = $11 + ($1 x ss)
$11 + $1ss
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x/2 + 5= -8 what does x equal and show work
Answers
Answer:
x = -26
Step-by-step explanation:
x/2 + 5 = -8
First let's combine like terms.
Subtract 5 from both sides.
x/2 = -13
Multiply both sides by 2 to isolate x.
x = -26
Plug this back into the original equation to check your answer.
-26/2 + 5 = -8
-13 + 5 = -8
-8 = -8
Your answer is correct.
Hope this helps!
Answer:
x=-26
Step-by-step explanation:
x/2 + 5 = -8
x/2 + 5 - 5 = -8 - 5
x/2 = -13
x = -26
this is all of the work I did to solve what x is! I hope it helped! There are many other way to solve this problem. This is the way which a lot of ppl do.
What us 200 10 times ad much as?
Answers
Answer:
2000?
Step-by-step explanation:
Please help me solve both of them
Answers
Answer:
first one: a,d,e
second one: d
Step-by-step explanation:
pemdas
Answer:
1.- A
2.- A
Step-by-step explanation:
please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answers
Answer:
I think its C
Step-by-step explanation:
how would I find the equation of this graph
Answers
Answer:
y = sec(x-2) - 1
Step-by-step explanation:
We can determine the graph is of a secant by the repeating parabolas. From there, graph sec(x) and add the transformations necessary to replicate the graph.
Jessy pastes stamps for 160 envelopes in 2 hours. If she pastes the stamps at the same rate, for how many envelopes can she paste stamps in 30 minutes ?
Answers
2 hours=160
1 hours=160÷2=80
30 minutes=80÷2=40
Answer:She can paste 40 stamps in 30 minutes
what is the additive identity of the complex number 19+5i
Answers
The additive identity is z = 0 + 0i
What is the additive identity of the complex number?We know that the additive identity is a number that when we add it to our number, it does not change.
So the additive identity X is defined, for any number A, as:
A + X = A
So we want a complex number z = a + bi
such that:
19 + 5i + z = 19 + 5i
It is trivial to notice that:
z = 0 + 0i = 0
So the additive identity is 0 (just like for the case of real numbers).
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A contractor better job at $750 for materials plus $43 per hour for labor. The total cost for the job can be modeled by C= 43H+ 750$.
Find the number of hours that he has for the job if the owner would like the total cost to be under $2000, rounded to the nearest hour.
Answers
The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.
To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.
Since the owner wants the total cost to be under $2000, we can set up the inequality:
43H + 750 < 2000
Now, let's solve this inequality for H, the number of hours:
43H < 2000 - 750
43H < 1250
Dividing both sides of the inequality by 43:
H < 1250/43
To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.
Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:
H < 29
Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.
By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.
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Calcula el 28% de 375
Answers
Answer: 105
Step-by-step explanation:
28% es 0.28 en decimal
28% de 375 es 375 x 0.28
375 x 0.28 = 105
Answer:
105
Step-by-step explanation:
\(\frac{y}{375} :\frac{28}{100}\)
y × 100 = 28 × 375
100y = 10500
100y ÷ 100 = 10500 ÷ 100
y = 105
Factorise
x^2 - 5x - 6
Answers
Answer:
(x+1)(x-6)
thats the ans :)
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.
Answers
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
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Gift Wrapping A gift box has the shape of a rectangular prism. How much wrapping paper do you need to cover
the box?
14 in
4 in
12 in
Answers
14 + 4 +12 = 30 which means that the answer is 30 so here you go
What is (1
2
3
) ÷ (
1
8
)?
A) 12
B) 13
1
3
C) 4
4
5
D)
5
24
helllllllpppppppppppppppppp asap pppppppppppppppppppppppppppppppppp
Answers
Answer:
A
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A building in a city has a rectangular base. The length of the base measures 70 ft less than twice the width. The perimeter of this base is 820 ft. What are the dimensions of the base?
Answers
Answer:
160 ft, 250ft
Step-by-step explanation:
Rectangular base:
Width = w
length =2w - 70
Perimeter = 820 ft
2*(length + width) = 820
2*(2w - 70 + w ) = 820
2 *(2w + w - 70) = 820 {Combine like terms}
2* (3w - 70) = 820
3w*2 - 70*2 = 820
6w - 140 = 820
6w = 820 + 140 {Add 140 to both side}
6w = 960 {Divide both sides by 6}
w = 960/6
w = 160 ft
length = 2*160 - 70
= 320 - 70
= 250 ft
* 1. Name a point on line n. 2. Name a segment on line m. 3. Name a ray with endpoint C. 4. Name three collinear points.
Answers
Answer:
1. D
2. AE (with a line above the 2 letters)
3. AC (with an arrowpointing to the right above the 2 letters)
4. B, A, and C
just explain how this is "Reflexive Property" (30 points)!!
Answers
The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.
In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.
So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.
jarome is making pizza. he uses 2 1/2 cups of cheese for ever 2 3/4 pizzas. He has 6 1/2 cups of cheese left in the bag. How many pizza pies can he make with the leftover cheese?
Answers
The number of pizza pies Jarome can make with the leftover cheese is 7 3/20 pizzas
Calculating the number of pizza pies that could be made with cheeseFrom the question, we are to determine the number of pizza pies Jarome can make with the leftover cheese.
Let the number of pizza that could be made be x
From the given information,
Jarome has 6 1/2 cups of cheese left in the bag
and
He uses 2 1/2 cups of cheese for 2 3/4 pizzas.
If 2 1/2 cups of cheese can make 2 3/4 pizzas,
Then,
6 1/2 cups of cheese will make x pizzas
x = (6 1/2 × 2 3/4) / (2 1/2)
x = 7 3/20
Hence, the number of pizzas is 7 3/20
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15 is 60% of what number?
Answers
15 is 60% of the number 25
To find the number of which 15 is 60%, we can set up the following equation:
0.60 * x = 15
Here, x represents the unknown number.
To solve for x, we divide both sides of the equation by 0.60:
x = 15 / 0.60
Evaluating the division:
x = 25
Therefore, 15 is 60% of 25.
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I really need help on this one
Answers
Answer:
-3x+9y=-57
Substitute the x for 4
-3(4)+9y=-57
-12+9y=-57
Add +12
-12+9y=-57
+12 +12
9y=-45
Now divide the 9 to get y by itself
9y=-45
÷9 ÷9
y=-5
So the value of y is -5
☆anvipatel77☆
•Expert•
Brainly Community Contributor
Simplify the expression so there is only one positive power for the base, -5.
Answers
Answer:
c
Step-by-step explanation:
it's a property of powers, when the base is the same (-5) , you need to
sum the powers when both terms are multiplyng
subtract the powers when both terms are dividing (numerator power minus denominator power, in that order)
Help plz! I will give brainilest!
Answers
Answer:
I think is C
Step-by-step explanation:
not sure but yes
can I have brailiest pls I need 1 more
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The Correct choice is B. " > "
\( \dfrac{3}{4} > - \dfrac{5}{6} \)A variable is normally distributed with mean 6 and standard 2 deviation .
a. Find the percentage of all possible values of the variable that lie between 5 and 9.
b. Find the percentage of all possible values of the variable that exceed 1.
c. Find the percentage of all possible values of the variable that are less than 4.
Answers
The normal distribution is also known as the Gaussian distribution. The percentage of all possible values of the variable that are less than 4 is 15.87%.
What is a normal distribution?
The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.
A.) The percentage of all possible values of the variable that lie between 5 and 9.
P(5<X<9) = P(X<9) - P(5<X)
= P(z<1.5) - P(-0.5<z)
= 0.9332 - 0.3085
= 0.6247
= 62.47%
B.) The percentage of all possible values of the variable that exceed 1.
P(X>1) = 1 - P(X<-2.5)
= 1-0.0062
= 0.9938
= 99.38%
C.) The percentage of all possible values of the variable that are less than 4.
P(X<4) = P(X <4)
= P(z<-1)
= 0.1587
= 15.87%
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100 Points! Geometry question. Photo attached. Only looking for an answer to B. Please show as much work as possible. Thank you!
Answers
Answer: Read the solution
Step-by-step explanation:
A. For diagram A, triangles ANC and BDE are similar. Thus, we can use similarity ratios to find the length of AC. (x+1)/12 = (x+5)/15. 15x+15=12x+60. Thus 3x=45, and x=15. Since we need to find AC, AC = 15+1 = 16.
B. For diagram B, triangles SRT and VUT are similar. Again, using similarity ratios, (4x-1)/14=(x+2)/6 or 14x+28=24x-6. 10x=34, x=3.4.
what are the features of the function g if g(x)= f(x+4) +8
Answers
The domain, range, x-intercept, or y-intercept of g(x) = f(x + 4) + 8. The features of g depend on the corresponding features of f.
Given the function g(x) = f(x + 4) + 8, let's examine its features:
Domain:
The domain of the function g will be the same as the domain of the function f, which depends on the restrictions or constraints of f. However, it is important to note that shifting the input by 4 units (x + 4) does not inherently change the domain unless there are specific restrictions imposed by f.
Range:
Similar to the domain, the range of the function g will depend on the range of the function f.
x-intercept:
The x-intercept of a function is the point where the graph intersects the x-axis, meaning the y-coordinate is zero (y = 0). To find the x-intercept of g(x), we set g(x) = 0 and solve for x.
0 = f(x + 4) + 8
By subtracting 8 from both sides:
-8 = f(x + 4)
Since the exact value of x that makes f(x + 4) equal to -8. The x-intercept will depend on the behavior of f.
y-intercept:
The y-intercept of a function is the point where the graph intersects the y-axis, meaning the x-coordinate is zero (x = 0). To find the y-intercept of g(x), we substitute x = 0 into the function:
g(0) = f(0 + 4) + 8
g(0) = f(4) + 8
Again, the specific value of f(4) will depend on the behavior of the function f.
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Can someone help me with this please?
Answers
Answer:
The triangles are similar.
Explanation:
Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.
Write an equation that represents the line. Use exact numbers.
Answers
Answer:
y = \(\frac{3}{4}\) x - \(\frac{9}{2}\)
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 2, - 6) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line
m = \(\frac{-3-(-6)}{2-(-2)}\) = \(\frac{-3+6}{2+2}\) = \(\frac{3}{4}\) , then
y = \(\frac{3}{4}\) x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (2, - 3 )
- 3 = \(\frac{3}{4}\) (2) + c = \(\frac{3}{2}\) + c ( subtract \(\frac{3}{2}\) from both sides )
- 3 - \(\frac{3}{2}\) + c , then
c = - \(\frac{9}{2}\)
y = \(\frac{3}{4}\) x - \(\frac{9}{2}\) ← equation of line