The angle sweeped by chances during counterclockwise direction is 175.15° and in radian is 3.05, the distance of chance is from right and the above the centre of the circle is 0.27 km and 0.261km respectively.
Chance is running on a circular track that has a radius 0.9 km and he goes 2.75km into the counter clockwise direction from the 3-o'clock position.
The arc length of the circle is given by,
L = 2πR(A/360)
R is the radius,
L is the length of the arc,
A is the angle made in degrees.
Putting values,
2.75 =2π(0.9)(A/360)
A = 175.15°C.
Now, converting it into radians,
A in radian is 3.05.
Distance D of chance to the right of centre of the ski trail is,
D = R(1-0.7)
D = R(0.3)
D = 0.27 Km.
The distance D' of chance above the centre of the ski trail is,
D' = R(1-0.71)
D' = R(0.29)
D' = 0.261 Km.
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how do the results compare to your hypothesis? explain why your hypothesis was or was not supported by the results.
To compare result to hypothesis, we will start by providing the key result from the each model and then compare and contrast them.
A hypothesis is usually a prediction based on some evidence. Hypothesis must be tested and once tested they can be supported by evidence if a statement is made that cannot be tested or disproof then it is not hypothesis
To compare we will start by providing the key result from the each model and then compare and contrast them then you can then provide any interpretation or future direction to some of the comparison
To prove or disprove your hypothesis you need to be able to do an experiment and take that measurement or make observation to see how two things are related
If you have hypothesis is not supported by the result of the experiment you should really realize the data in order to figure out why your result disprove your hypothesis
You should not alter the observation or experiment so that you reserve proof your hypothesis
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5 added to the difference between a number an 12
Answer:
x-7
Explanation:
Subtract 5 5 from both sides of the equation. Subtract 5 5 from 12 12 . Divide each term in −x=7 by −1 and simplify. Divide each term in −x=7
a large study in the uk was done to determine if there was a link between cell phone usage and brain cancer. the study set out to determine if using a cell phone more, increased the likelihood of getting brain cancer. the study took about 800,000 women and asked them to report their cell phone use in 1999, 2005, and again in 2009. in 2009, they recorded the proportion of women who had developed brain cancer. their conclusion was "in this large prospective study, mobile phone use was not associated with increased incidence of glioma, meningioma or non-cns cancers." is this an observational study or an experiment? justify your answer.
The given case study can be categorized as an observational study .A correctly conducted observational study will never attempt to influence participants' reactions, in contrast to experimental designs, which by definition apply a treatment condition to some individuals.
It is debatable whether cell phones and cancer are related. Studies on cellphones and cancer have been conducted for a long time, with varying degrees of success. There isn't now agreement on the potential cancer risk posed by cellphone use.
The growth of cancer linked to cellphone use appears to be the main cause for concern regarding smartphones and cancer. Despite the fact that cellphone use wasn't prevalent in the 1970s, some research indicates a slight rise in the prevalence of cancer since that decade.
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Vector Vector P Q has an initial point at (3, 3) and its terminal point is at (5, 7).
Vector Vector R S has an initial point at (4, –6) and its terminal point is at (1, –5).
What is the component form of vector ?
The correct answer is: 5,3
Initial and terminal points of the vector [tex]\vec{PQ}[/tex] of (3., 3) and (5, 7) , and the initial and final point of the vector [tex]\vec{RS}[/tex] of (4, -5), and (1, -5), indicate that the the difference between the vectors is; 5·i + 5·j
What is a vector?
A vector is a quantity that has both magnitude and direction.
The specified vectors are;
The initial and terminal point on vector [tex]\vec{PQ}[/tex] are; (3, 3) and (5, 7)
The initial and terminal point of vector [tex]\vec{RS}[/tex] are (4, -6), and (1, -5)
Therefore, the vector [tex]\vec{PQ}[/tex] - [tex]\vec{RS}[/tex] is therefore;
The vector form of [tex]\vec{PQ}[/tex] = <5 - 3, 7 - 3> = <2, 4>
The vecror form of [tex]\vec{RS}[/tex] = <1-4, -5 - (-6)> = <-3, -1>
The difference between the vectors is therefore;
The vectors are therefore;
[tex]\vec{PQ}[/tex] = 2·i + 4·j
[tex]\vec{RS}[/tex] = -3·i - j
The difference between the vectors is therefore;
[tex]\vec{PQ}[/tex] - [tex]\vec{RS}[/tex] = (2 - (-3))·i + (4 - (-1))·j = 5·i + 5·j
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Segment ab falls on line 6x + 3y = 9. Segment cd falls on line 4x + 2y = 8. What is true about segments ab and cd?.
The parallelism of the linear equations of two lines is clearly shown by the fact that both have the same slope. Due to the fact that they both have a slope of -2, they are parallel.
What are Linear equations?An equation is said to be linear if the maximum power of the variable is consistently 1.
Another name for it is a one-degree equation.
A linear equation with one variable has the conventional form Ax + B = 0.
In this case, the variables x and A are variables, while B is a constant.
So, there is a degree of 1 in these equations.
Knowing the lines' equation:
ab: 6x + 3y = 9
cd: 4x + 2y = 8
Afterward, write in slope-intercept form as follows:
ab: y = -2x + 3
cd = y = -2x +8
It is evident that both lines have the same slope, demonstrating their parallelism.
Therefore, the parallelism of the linear equations of two lines is clearly shown by the fact that both have the same slope. Due to the fact that they both have a slope of -2, they are parallel.
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what is the value of underlined 5 fogit numbers?
In four digits number, if 5 is ones place, then the value is 5. It 5 is on tens place then the value will be 50. If the 5 is on hundred places then value will be 500. If 5 are on thousand places then value will be 5000.
In the given question, we have to find the value of underlined 5 in four digit numbers.
As we know that,
Place value labels like tens and ones notify us of a number appear digit's value. More than one digit can be used to create a number. As a result, to better understand the value of each digit, we employ place value labels such as ones, tens, hundreds, and thousands.
As we know that we count the numbers as ones, tens, hundreds and so on.
So if a 4 digit number is given and we have to find the value of underline 5, and then if 5 is ones place, then the value is 5. It 5 is on tens place then the value will be 50. If the 5 is on hundred places then value will be 500. If 5 are on thousand places then value will be 5000.
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PLEASE! HELP ASAP GIVING 100 POINTS AND BRAINLEST!
Write a system of equations to compare these two scenarios:
1) You buy a grande café latte from Starbucks every day, which costs 3.65
2) You spend 300 to buy an espresso machine and purchase supplies for lattes, which cost an additional 1.35 a day.
a) After how many days will the price of buying lattes for Starbucks equal the price of making lattes at home?
b) How much money will you have spent at this point?
The equations used to compare the two scenarios are as follows:
3.65x
300 + 1.35x
What is an equation?Identifying which variables values result in equality is part of solving a variable equation. The variables for which the equation must be solved are known as unknowns, whereas the unknown values that fulfill the equality are known as equation solutions. A mathematical expression with two equal sides separated by an equal sign is known as an equation. 4 + 6 = 10. We can see 4 + 6 on the left and 10 on the right side of the equal symbol.
We already have,
1) You often purchase a grande cafe latte from Starbucks, which costs $3.65.
This formula is:
Number of days = x
Total cost after x days = 3.65x
2) You spend $300 on an espresso machine and ingredients for lattes, which cost an extra $1.35 per day.
This formula is:
Number of days = x
Total cost after x days = 300 + 1.35x
Now, three days later,
3.65 x 3 = $10.95
300 + 1.35 x 3 = 300 + 4.05 = $304.05
Thus,
The equations used to compare the two scenarios are as follows:
3.65x
300 + 1.35x
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how would you explain the difference between qualitative and quantitative data sources? how would you explain the difference between qualitative and quantitative data sources?
Qualitative data is used to represents the qualities , intention of human behavior and is basically based on observations and interview using open ended questions where as quantitative data is based on the statistical and mathematical data.
Explanation:
Difference between Quantitative and Qualitative data sources:
Qualitative data sources:
It represents the subjective approachBased on open-ended question.It represents the human behavior.Quantitative data sources:
It represents the objective approach.Based on Statistical and mathematical data.Represents using graphs.Therefore, qualitative data is used to represent the human behavior while quantitative data is for statistical and mathematical data.
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42,786,950 writen in scientific notation
Answer: 4.278695 × 10^7
Step-by-step explanation:
Answer: 4.2786950x10^7 or 4.2x10^7
Step-by-step explanation:
To convert a number to scientific notation, move the decimal.
42,786,950
At the and of this number, there is an understood decimal. To find the scientific notation version of it, move the decimal over to the left until you have only one digit to the left of the decimal, as such...
4.2786950
To then find what the exponent you're multiplying by, you count how many places you moved the decimal.
So in the end, you get 4.2786950x10^7
one hundred subjects are to be assigned to two groups for an experiment that requires a completely randomized design
The subjects in Group 1 are those with the 50 lowest four-digit numbers. Group 2 is given the remaining subjects.
An experiment that is conducted at random?What a Random Situation Is Exactly. Any clearly defined procedure that yields an observable result that could not be entirely predicted beforehand is considered a random experiment. In order to avoid any ambiguity or surprise, a random experiment must be clearly defined.
List the subjects in alphabetical order by name.
A four-digit number at random, between 0001 and 9999 (inclusive), should be given to each subject using a table of random numbers.
Leaving out 4 digit that have already been allocated.
The subjects in Group 1 are those with the 50 lowest four-digit numbers. Group 2 is given the remaining subjects.
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Select all the situations for which only zero or positive
solutions make sense.
Measuring temperature in degrees Celsius at an Arctic
outpost each day in January.
The height of a candle as it burns over an hour.
buns
The elevation above sea level of a hiker descending into a
canyon.
The number of students remaining in school after 6:00 p.m.
The temperature in degrees Fahrenheit of an oven used on a
hot summer day.
Answer: the last two situations
Step-by-step explanation:
there would be 0 students left in a school after 6 pm and the temperature in degrees fahrenheit has to be above 0 because it is a hot day and the oven is on
(5p³z-9z+9) - (p³z + 5z - 4)
Answer:
4p³z - 14z +13
Step-by-step explanation:
(5p³z -9z +9) - (p³z +5z -4)
the - multiplies the bracket
5p³z -9z +9 -p³z -5z +4
collect like terms
5p³z -p³z -9z -5z +9+4
4p³z - 14z +13
Find the mean absolute deviation: 5, 11, 2, 7, 16. the mean is 8.2
the mean absolute deviation is 4.24
What Is Mean Absolute Deviation?
Mean absolute deviation (MAD) is a measure of the average absolute distance between each data value and the mean of a data set. Similar to standard deviation, MAD is a parameter or statistic that measures the spread, or variation, in your data.
the given mean absolute deviation 5,11,2,7,16
mean = [tex]\frac{5+11+2+7+16}{5}[/tex]
mean = 8.2
Hence, the mean absolute deviation is given by:
[tex]M_{d}[/tex] = |5-8.2| + |11-8.2| +|2-8.2| +|7-8.2|+|16-8.2| / 5
= 4.24
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On Saturday, some adults and some children were in a theatre.The ratio of the number of adults to the number of children was 7:2
Each person had a seat in the Circle or had a seat in the Stalls.
of the children had seats in the Stalls.
124 children had seats in the Circle.
There are exactly 3875 seats in the theatre.
On this Saturday, what percentage of the seats had people sitting on them?
There are 72% percent of the seats had people sitting on them.
What are ratios and percentages?
A ratio is a comparison of two quantities that are similar. Given any two similar quantities a and b, so a:b ratio is defined as a:b = a/b, where b0. The percentage is an abbreviation for 'by the hundred' or 'divide by one hundred.' The percentage, which means 'per 100,' is also used to compare quantities.
Given data:
Ratio of adults to children = 7 : 2
The proportion of children that had sit in the stalls = 4/5
Number of children that had sit in the Circle = 124 children
Number of seats at the theatre = 3,875
Let x represent the number of children, we have;
The number of children in the stalls = (4/5).x
Then the number of children in the circle = x - (4/5).x = 124
Solving this, we get
x = 620
Given ratio is Number of adults/Number of children = 7:2
Number of adults/620 = 7/2
So the number of adults = 2,170
Total number of peoples = 2170 + 620 = 2790
The percentage of the seats had people sitting on them
[tex]=\frac{2790}{3875}\times100\\\\=72\%[/tex]
Hence, 72% percent of the seats had people sitting on them.
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A ski lift rises at a 28° angle during the first 20 feet
up a mountain to achieve a height of 25 feet, which is the
height maintained during the remainder of the ride up
the mountain. Determine the length of cable needed for
this initial rise
The length of cable that is needed for the initial rise is; 41 feet.
How to use Law of Sines?The given parameters are as shown in the image of the triangle attached.
Where;
A = 28 , a = 25 ft, and b = 20 ft.
Now, if A is acute and a > b, it means that one solution exists. Using the
Law of Sines to find B;
a/sin A = b/sin B
Plugging in the relevant values gives;
25/sin 28 = 20/sin B
sin B = (20 sin 28)/25
sin B = 0.3756
B = sin⁻¹0.3756
B = 22.06°
Due to the fact that the two angles are now known, it means that the angle opposite x is 180 – (28 + 22.06 ) = 129.94 . Using the Law of Sines to find x;
a/sin A = x/sin X
25/sin 28 = = x/sin 129.94
solving fir x gives;
x = 40.83 ≈ 41 feet
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PLEASE HELP I'M SO STRESSED
SOLVE FOR X PLEASE HELP ME
Answer:
Step-by-step explanation:
39.06
Joey ha 8 pair of ock in hi drawer. Five of the pair are white. What percent of joey ock are colored?
Using percentages, we know that Joey has 37.5% of colored pairs of socks.
What is the percentage?%, which is a relative figure used to denote hundredths of any quantity.
Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance.
Finding the percentage of a whole in terms of 100 is what percentage calculation is.
Both manual calculation and the use of internet calculators are options.
So, the percentage of colored pair of socks are:
We know that Joey has a total of 8 pairs of socks.
We also know that 5 pairs of socks are white.
Hence, the colored pair of socks will be:
8 - 5 = 3
Calculate its percentage as follows:
3/8 * 100
0.375 * 100
37.5%
Therefore, using percentages, we know that Joey has 37.5% of colored pairs of socks.
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In a hypothesis test for population proportion, you calculated the p-value is 0. 01 for the test statistic, which is a correct statement of the p-value?.
According to the hypothesis test, the correct statement of the p-value is mean value is against null hypothesis.
Hypothesis test:
In statistics, hypothesis test means a form of statistical inference that uses data from a sample to draw conclusions about a population parameter or a population probability distribution.
Given,
Here we need to find the correct statement of the p-value for the a hypothesis test for population proportion, you calculated the p-value is 0. 01 for the test statistic.
While we looking into the given question we have identified the value of p value of the test statistic is 0.01.
Then the correct statement of the p-value less than 0.01 will under normal circumstances mean that there is substantial evidence against the null hypothesis.
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I WILL OPEN MY ALT AND COMENT AND GIVE YOU A BRINLIST OPEN IF YOU SHOWED YOUR WORK!!! OPEN THE IMAGE
Answer:
a = -5/4
Step-by-step explanation:
There are too many steps, it would take an hour to list it all....
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 9 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer:
are you sure this is correct tho?
Step-by-step explanation:
2. loran is a long range hyperbolic navigation system. suppose two loran transmitters are located at the coordinates and , where unit distance on the coordinate plane is measured in miles a receiver is located somewhere in the first quadrant. the receiver computes that the difference in the distances from the receiver to these transmitters is 180 miles. what is the standard form of the hyperbola that the receiver sits on if the transmitters behave as foci of the hyperbola?
The path LORAN followed is hyperbolic.
The equation of the hyperbola is x²/8100 + y²/1900 = 1
Given,
These are the coordinates:
(x, y) = (-100, 0) (100, 0)
The hyperbola's center; (h, k) = (0, 0)
The following is the distance between the center and the focal points:
c = 100
Square both sides;
c² = 10000
The following is the distance between the transmitters and the receiver:
2a = 180
Divide 2 from both sides.
a = 90
Square both sides;
a² = 8100
We possess;
b² = c² - a²
This results in;
b² = 10000 - 8100
b² = 1900
A hyperbola's equation is as follows:
(x - h)²/a² + (y - k)²/b² = 1
We thus have:
(x - 0)²/8100 + (y - 0)²/1900 = 1
x²/8100 + y²/1900 = 1
As a result, the hyperbola's equation is: x²/8100 + y²/1900 = 1
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what is distributional hypothesis in the context of distributional semantics? give a short explanation with some examples. g
Distributional semantics develops methods for measuring and classifying semantic similarity between language elements.
To quantify and classify semantic relatedness among linguistic items based on their distributional qualities in large samples of language data, distributional semantics is a field of study. The distributional hypothesis captures the fundamental principle of distributional semantics.
The semantic theory of language usage, states that terms used and occurring in comparable situations tend to have similar meanings is the basis for the distributional hypothesis in linguistics. For instance, the words "fire" and "dog" have very different meanings and aren't typically used together in a sentence. However, the terms "dog" and "cat" are occasionally used interchangeably, suggesting that they may have a similar connotation.
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Use point-slope form to write the equation of a line that passes through the point (-13,-19) with the slope 7/6
Answer: [tex]y = \frac{7}{6}x - \frac{23}{6}[/tex]
Work Shown:
[tex]y - y_1 = m(x - x_1)\\\\y - (-19) = \frac{7}{6}(x - (-13))\\\\y + 19 = \frac{7}{6}(x + 13)\\\\y + 19 = \frac{7}{6}x + \frac{7}{6}*13\\\\y + 19 = \frac{7}{6}x + \frac{91}{6}\\\\y = \frac{7}{6}x + \frac{91}{6} - 19\\\\y = \frac{7}{6}x + \frac{91}{6} - 19*\frac{6}{6}\\\\y = \frac{7}{6}x + \frac{91}{6} - \frac{114}{6}\\\\y = \frac{7}{6}x + \frac{91-114}{6}\\\\y = \frac{7}{6}x - \frac{23}{6}\\\\[/tex]
Joseph has a loyalty card good for a 9% discount at his local grocery store. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $37? Round to the nearest cent.
Answer: $40.33
Step-by-step explanation:
9% of $37 = 3.33
37 + 3.33 = 40.33
Fill in the Table Values pls
Answer:45 76 97 790 9786 99780 533455 6687878
Step-by-step explanation:
PLEASE HELP ME !!!!!
1 ) The rate of vibration of a string under constant tension varies inversely with the length of the string. If a string is 24 inches long and vibrates 128 times per second, what is the length of a string that vibrates 64 times per second?
48 inches
46 inches
42 inches
55 inches
------------------------------------------------------------------
2 ) The horsepower (hp) that a shaft can safely transmit varies jointly with its speed (in revolutions per minute - rpm) and the cube of the diameter. If the shaft of a certain material 3 inches in diameter can transmit 45hp at 100 rpm, what must the diameter be in order to transmit 60hp at 150rpm?
24
[tex]\sqrt[3]{150}[/tex]
[tex]2\sqrt[3]{3}[/tex]
[tex]4\sqrt[3]{6}[/tex]
Answer:
[tex]\textsf{1)\quad 48\;inches}[/tex]
[tex]\textsf{2)\quad$2\sqrt[3]{3}$\; inches}[/tex]
Step-by-step explanation:
Question 1Define the variables:
Let x be the length of the string.Let y be the rate of vibration of a string under constant tension.The rate of vibration of a string under constant tension varies inversely with the length of the string:
[tex]\boxed{y \propto \dfrac{1}{x} \implies y=\dfrac{k}{x}\quad\text{for a constant $k$}}[/tex]
Given values:
x = 24 inchesy = 128 times per secondSubstitute the given values of x and y into the formula and solve for k:
[tex]\implies 128=\dfrac{k}{24}[/tex]
[tex]\implies k=128 \cdot 24[/tex]
[tex]\implies k=3072[/tex]
Therefore, the equation is:
[tex]y=\dfrac{3072}{x}[/tex]
To find the length of a string that vibrates 64 times per second, substitute y = 64 into the equation and solve for x:
[tex]\implies 64=\dfrac{3072}{x}[/tex]
[tex]\implies x=\dfrac{3072}{64}[/tex]
[tex]\implies x=48[/tex]
Therefore, the length of a string that vibrates 64 times per second is 48 inches.
---------------------------------------------------------------------------------------------
Question 2Define the variables:
Let y be the horsepower (hp) that a shaft can safely transmit.Let v be the speed of the shaft (in rpm).Let d be the diameter of the shaft (in inches).The horsepower that a shaft can safely transmit varies jointly with its speed and the cube of the diameter:
[tex]\boxed{y \propto vd^3 \implies y=kvd^3\quad\text{for a constant $k$}}[/tex]
Given values:
y = 45 hpv = 100 rpmd = 3 inchesSubstitute the given values of y, v and d into the formula and solve for k:
[tex]\implies 45=k \cdot 100 \cdot 3^3[/tex]
[tex]\implies 45=k \cdot 100 \cdot 27[/tex]
[tex]\implies 45=2700k[/tex]
[tex]\implies k=\dfrac{45}{2700}=\dfrac{1}{60}[/tex]
Therefore, the equation is:
[tex]y=\dfrac{vd^3}{60}[/tex]
To find the diameter of the shaft in order to transmit 60 hp at 150 rpm, substitute y = 60 and v = 150 into the equation and solve for d:
[tex]\implies 60=\dfrac{150d^3}{60}[/tex]
[tex]\implies 3600=150d^3[/tex]
[tex]\implies d^3=\dfrac{3600}{150}[/tex]
[tex]\implies d^3=24[/tex]
[tex]\implies d=\sqrt[3]{24}[/tex]
[tex]\implies d=\sqrt[3]{8 \cdot 3}[/tex]
[tex]\implies d=\sqrt[3]{8} \sqrt[3]{3}[/tex]
[tex]\implies d=\sqrt[3]{2^3} \cdot \sqrt[3]{3}[/tex]
[tex]\implies d=2\sqrt[3]{3}[/tex]
Therefore, the diameter of a shaft that transmits 60 hp at 150 rpm is 2³√3 inches.
6. Olumide plays the piano and guitar. For every 5 minutes of piano practice, he spends 8) minutes practicing guitar. How many minutes will Olumide practice piano if he spends 64 minutes practicing guitar?
He will practice 40 m on piano if he spends 64 m practicing on guitar. It can be solve by the concept of word problems on multiplication of fraction.
What is fraction?
Fraction is a part of a whole number or quantity. It is written as 3/8, 4/9, etc.
Piano practice time = 5 m
Guitar practice time = 8 m
If he spend 8 minute practicing on guitar then he will spend on piano practice = 5 m
If he spend 1 minute practicing on guitar then he will spend on piano practice = 5m/8m
If he spend 64 minute practicing on guitar then he will spend on piano practice
[tex]=\frac{5m}{8m}64m\\=40 m[/tex]
Hence, he will practice 40 m on piano if he spends 64 m practicing on guitar. It can be solve by the concept of word problems on multiplication of fraction.
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(x^4+6x^3-x^2-5x+1)/(x-2)
PLEASE HELP SYNTHETIC DIVISION
Answer:
x^3+8x^2+15x+25+51
x-2
A study shows that 80% of the population of a city have brown eyes and 20% do not. The study also shows that 20% of the people who do not have brown eyes do not have brown hair, while 90% of the people who have brown eyes have brown hair. A relative frequency table was constructed for this data. What is the largest marginal relative frequency and its interpretation?
0. 90; Individuals with brown hair
0. 88; Individuals with brown hair
0. 80; Individuals with brown eyes
0. 72; Individuals with brown eyes
Answer:
Step-by-step explanation its is 0.72
i hoped this helped
can you help with this question
Answer:
1. y=5
2. y=2x-1
3.y=-2x+1
4. y=-(1/2x)+1
Step-by-step explanation:
1. y=y-intercept. y=5.
2. 2x=mx=slope. -1=b=y-intercept
3. 2x=mx=slope. 1=b=y-intercept
4. -(1/2x)=mx=slope. 1=b=y-intercept
-Hope this helped
What is the equation of a line perpendicular to 3z + 4y - 12and passes thru the point (3.2)? Write the equation in slope-intercept form (y=mx+b)
Answer:
Step-by-step explanation:
After you know the equation of this line, you will be able to figure out the equation of the line that runs perpendicular to it. [11] To simplify. y − 6 = 3 2 ∗ ( x − 4) {\displaystyle {y}- {6}= {\frac {3} {2}}* ( {x}-4)} , first multiply all of the numbers in parentheses by the outer value to get.