Answer:
88
Step-by-step explanation:
89+85+95+83= 352,
352/4 = 88
Two soccer teams play 8 games in their season. The number of goals each team scored per game is listed below: Team X: 11, 3, 0, 0, 2, 0, 6, 4 Team Y: 4, 2, 0, 3, 2, 1, 6, 4 Which of the following is true? A. Team X’s scores have a lower interquartile range. B. Team X’s scores have a higher median value. C. Team Y’s scores have a lower mean value. D. Both teams have the same range of scores.
Answer:
C. Team Y’s scores have a lower mean value.
Step-by-step explanation:
We are given that Two soccer teams play 8 games in their season. The number of goals each team scored per game is listed below:
Team X: 11, 3, 0, 0, 2, 0, 6, 4
Team Y: 4, 2, 0, 3, 2, 1, 6, 4
Firstly, we will calculate the mean, median, range and inter-quartile range for Team X;
Mean of Team X data is given by the following formula;
Mean, [tex]\bar X[/tex] = [tex]\frac{\sum X}{n}[/tex]
= [tex]\frac{11+ 3+ 0+ 0+ 2+ 0+ 6+ 4}{8}[/tex] = [tex]\frac{26}{8}[/tex] = 3.25
So, the mean of Team X's scores is 3.25.
Now, for calculating the median; we have to arrange the data in ascending order and then observe that the number of observations (n) in the data is even or odd.
Team X: 0, 0, 0, 2, 3, 4, 6, 11
If n is odd, then the formula for calculating median is given by;Median = [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]
If n is even, then the formula for calculating median is given by;Median = [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]
Here, the number of observations is even, i.e. n = 8.
So, Median = [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{(\frac{8}{2})^{th} \text{ obs.} +(\frac{8}{2}+1)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{(4)^{th} \text{ obs.} +(5)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{2+3}{2}[/tex] = 2.5
So, the median of Team X's score is 2.5.
Now, the range is calculated as the difference between the highest and the lowest value in our data.
Range = Highest value - Lowest value
= 11 - 0 = 11
So, the range of Team X's score is 11.
Now, the inter-quartile range of the data is given by;
Inter-quartile range = [tex]Q_3-Q_1[/tex]
[tex]Q_1=(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]
= [tex](\frac{8+1}{4} )^{th} \text{ obs.}[/tex]
= [tex](2.25 )^{th} \text{ obs.}[/tex]
[tex]Q_1 = 2^{nd} \text{ obs.} + 0.25[ 3^{rd} \text{ obs.} -2^{nd} \text{ obs.} ][/tex]
= 0 + 0.25[0 - 0] = 0
[tex]Q_3=3(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]
= [tex]3(\frac{8+1}{4} )^{th} \text{ obs.}[/tex]
= [tex](6.75 )^{th} \text{ obs.}[/tex]
[tex]Q_3 = 6^{th} \text{ obs.} + 0.75[ 7^{th} \text{ obs.} -6^{th} \text{ obs.} ][/tex]
= 4 + 0.75[6 - 4] = 5.5
So, the inter-quartile range of Team X's score is (5.5 - 0) = 5.5.
Now, we will calculate the mean, median, range and inter-quartile range for Team Y;
Mean of Team Y data is given by the following formula;
Mean, [tex]\bar Y[/tex] = [tex]\frac{\sum Y}{n}[/tex]
= [tex]\frac{4+ 2+ 0+ 3+ 2+ 1+ 6+ 4}{8}[/tex] = [tex]\frac{22}{8}[/tex] = 2.75
So, the mean of Team Y's scores is 2.75.
Now, for calculating the median; we have to arrange the data in ascending order and then observe that the number of observations (n) in the data is even or odd.
Team Y: 0, 1, 2, 2, 3, 4, 4, 6
If n is odd, then the formula for calculating median is given by;Median = [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]
If n is even, then the formula for calculating median is given by;Median = [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]
Here, the number of observations is even, i.e. n = 8.
So, Median = [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{(\frac{8}{2})^{th} \text{ obs.} +(\frac{8}{2}+1)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{(4)^{th} \text{ obs.} +(5)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{2+3}{2}[/tex] = 2.5
So, the median of Team Y's score is 2.5.
Now, the range is calculated as the difference between the highest and the lowest value in our data.
Range = Highest value - Lowest value
= 6 - 0 = 6
So, the range of Team Y's score is 6.
Now, the inter-quartile range of the data is given by;
Inter-quartile range = [tex]Q_3-Q_1[/tex]
[tex]Q_1=(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]
= [tex](\frac{8+1}{4} )^{th} \text{ obs.}[/tex]
= [tex](2.25 )^{th} \text{ obs.}[/tex]
[tex]Q_1 = 2^{nd} \text{ obs.} + 0.25[ 3^{rd} \text{ obs.} -2^{nd} \text{ obs.} ][/tex]
= 1 + 0.25[2 - 1] = 1.25
[tex]Q_3=3(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]
= [tex]3(\frac{8+1}{4} )^{th} \text{ obs.}[/tex]
= [tex](6.75 )^{th} \text{ obs.}[/tex]
[tex]Q_3 = 6^{th} \text{ obs.} + 0.75[ 7^{th} \text{ obs.} -6^{th} \text{ obs.} ][/tex]
= 4 + 0.75[4 - 4] = 4
So, the inter-quartile range of Team Y's score is (4 - 1.25) = 2.75.
Hence, the correct statement is:
C. Team Y’s scores have a lower mean value.
can somewon help me plzzzzz if u get it right i will mark brainlest
Answer: 4
Step-by-step explanation:
Because the equation says at least 45, we know the sign is [tex]\leq[/tex]. Because she has already run 6 rounds, the equation must have + 6.
Hope it helps <3
Using every digit from 0−9 exactly once, make two five-digit numbers such that their sum is as large as possible. What is the sum?
Answer:
97,531+86,420=183,951
Step-by-step explanation:
Answer:
183,951
Step-by-step explanation:
Each of the 5 digit numbers would have to start with the two largest digits (9&8). The next two digits would have to be the next two largest digits (7&6). Continuing that pattern, we get:
97531+86420=183,951
FIRST GETS BRAINLLEST If you spin the spinner below 150 times, which of the following outcomes are reasonable? Select all that apply. A) Lands on blue 60 times B) Lands on red 120 times C) Lands on yellow 90 times D) Lands on yellow 44 times
Answer:
Step-by-step explanation:
Spinner pointing to red, blue or yellow is equally likely:
P(blue) = P(yellow) = P(red) = 1/3.
In a perfect world, the spinner would land on blue (1/3)(150) = 50 times; on red 50 times and on yellow 50 times.
If in real life the spinner lands on yellow 44 times (C) is most reasonable, as that is closest to the ideal 50 times.
A) Lands on blue 60 times - Reasonable outcome.
B) Lands on red 120 times - Not reasonable.
C) Lands on yellow 90 times - Not reasonable.
D) Lands on yellow 44 times - Reasonable.
If the spinner has three colors (red, yellow, and blue) with equal areas, and we spin it 150 times, the reasonable outcomes would be:
A) Lands on blue 60 times - Reasonable since there is an equal chance of landing on each color, and 60 is a fraction of 150 that falls within the expected range.
B) Lands on red 120 times - Not reasonable since the expected number of times for each color is 150 / 3 = 50, and 120 is significantly higher than this expected value.
C) Lands on yellow 90 times - Not reasonable since the expected number of times for each color is 150 / 3 = 50, and 90 is significantly higher than this expected value.
D) Lands on yellow 44 times - Reasonable since there is an equal chance of landing on each color, and 44 is a fraction of 150 that falls within the expected range.
Therefore, the reasonable outcomes would be A) Lands on blue 60 times and D) Lands on yellow 44 times.
To know more about outcome, refer here:
https://brainly.com/question/30592966
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Which number is an irrational numbe?
Answer:
Option D
Step-by-step explanation:
=> [tex]\sqrt[3]{16}[/tex] is an irrational number because it cannot be written in the form of [tex]\frac{p}{q}[/tex] which is one of the most important characteristics of rational number.
=> The simplified form of [tex]\sqrt[3]{16}[/tex] is [tex]16 ^{1/3[/tex].
Answer:
[tex]\boxed{\sqrt[3]{16}}[/tex]
Step-by-step explanation:
Irrational numbers cannot be expressed as a fraction in the form [tex]\frac{p}{q}[/tex], where [tex]p[/tex] and [tex]q[/tex] are whole integers.
[tex]\sqrt{100} =10[/tex]
[tex]\frac{1}{8} = \frac{1}{8}[/tex]
[tex]-2.2675=\frac{-907}{400}[/tex]
[tex]\sqrt[3]{16} = 2.51984209979...[/tex]
Write an algebraic equation to match each graph. (These graphs are not drawn to scale!) please help me! i will make brainliest answer if correct!
Answer: - l x+1 l + 1 remember l is the absolute value sign.
Step-by-step explanation:
We need to know that this is an absolute value function graph. So looking at the graph we could see that is is shifted vertical or up by 1 and it has been shifted to the left by 1 units and it also opens down.
So we could represent that by the equation.
y = -l x +1 l +1
A student wants to know whether the teachers in the entire school prefer watching television or playing outdoor games after school. The student draws a random sample from the following groups: all school teachers, all students on the football team, all boys in each grade, all students in each grade. Which of the following groups best represents the population from which the student should take a random sample to get the best results for her survey?
Answer:
Step-by-step explanation:
All School teachers
Answer:
All school teachers
Step-by-step explanation:
The other groups don't include teachers at all, so they definitely wouldn't be helpful for the survey that is only the teachers' preferences.
Does anyone know this need help
Answer:
32 m
Step-by-step explanation:
The distance across the river is give as x and we are interested in finding the value of x.
Both the triangles are similar by AA Postulate.
Therefore,
20/x = 10/16 (by c.s.s.t.)
2/x = 1/16
x = 16*2
x = 32 m
Lee watches tv 3hours per day. Lee tv consumes 200 watts when on. Electricity cost 12 cents 1 kilowatt-hour how much does Lee's tv cost to operate for 30 days
Answer: $2.16
Lee watches TV 3 hours per day and TV consumes 200 watts.
Cost of electricity = 12 cents/(1-kilowatt-hour)
200w×3 hours
600 watt-hours
1000 watt-hours=1kwh
1 watt-hours= 1/1000 kwh
600 watt-hours 600/1000=0.6 kwh
0.6×12=7.2cents
1 day=7.2 cents
30 days
7.2×30
216 cents
$2.16
Answer:
The cost of operating a 200-Watt TV 3 hours per day for 30 days is 2.16 dollars.
Step-by-step explanation:
This problem ask us for the total cost associated with electricity consumption in a period of time. Hence, the total cost of energy is obtained by making appropriate conversions, that is:
Cost = Energy consumed x Time x Unit cost
[tex]C = (200\,W) \cdot (30\,days) \cdot \left(3\,\frac{h}{day} \right)\cdot \left(3600\,\frac{s}{h}\right) \cdot \left(\frac{1}{3600000} \,\frac{kWh}{J}\right)\cdot \left(0.12\,\frac{USD}{kWh} \right)[/tex]
[tex]C = 2.16\,USD[/tex]
The cost of operating a 200-Watt TV 3 hours per day for 30 days is 2.16 dollars.
A building meets the ground at a right angle. The top of a 10-foot ladder is placed against the bottom edge of a window in the building, and the base of the ladder is placed 6 feet from where the building meets the ground. Draw diagram that represents this situation. How far up from the ground is the bottom edge of the window?
Answer:
8 ft
Step-by-step explanation:
Use pythagorean theorem. [tex]a^{2}+b^{2}=c^{2}[/tex]. Put 10 and 6 into the equation as b and c.
[tex]a^{2}+6^{2}=10^{2}[/tex]
[tex]a^{2} =100-36\\a^{2}=64\\a=8[/tex]
Therefore, the answer is 8ft.
A diagram is attached. Sorry it's kinda messy.
Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The height of the window from the ground or the base of the building is 8 feet.
What is Pythagoras theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
Given the length of the ladder is 10 feet, while the distance between the base of the ladder and the building is 6 feet. Therefore, the height of the window from the base is,
(Length of the ladder)² = (Length between the two)² + (Height)²
(10 feet)² = (6 feet)² + (Height)²
(Height)² = 100 - 36
Height = 8 feet
hence, the height of the window from the ground or the base of the building is 8 feet.
Learn more about Pythagoras' Theorem:
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You have 4 lollipops in your hand and this is 1/4 of the packet. How many lollipops were in the whole packet?
Answer:
16 lollipops
Step-by-step explanation:
4 is 1/4 so multiply 4 by 4
please I need help please
Answer:
x=25
Step-by-step explanation:
To find x (hypotenuse), it is a^2+b^2=c^2
24^2+7^2=625
[tex]\sqrt{625}[/tex]=25
x=25
Hope this helps!!
ASAP!! can someone help solve these and include work
Answer:
Below
Step-by-step explanation:
The triangle ABC is a right triangle so we will use the Pythagorian theorem
c^2 =5^2 + 8^2
c^2 = 25 + 64
c^2 = 89
c = 9.43
We khow that the sum of a triangle's angles is 180°
So B+90+58= 180
B+ 148 = 180
B = 180-148
B = 32°
■■■■■■■■■■■■■■■■■■■■■■■■■■
Tan A = opposite/ adjacent
Tan A = 5/12
helppppp mee !!!!!!!!
Answer:
f(6) = 24
Step-by-step explanation:
Simply plug the value of 6 into the equation for x.
f(x) = x^2 - 2x
f(6) = (6)^2 - 2(6)
f(6) = 36 - 12
f(6) = 24
Answer: 24
Step-by-step explanation: you can say that 6=x Wichita in this case we would substitute x for 6
6²-2*6=36-12=24
Hope this helps!
lauren sold 140 boxes of cookies. 60% of the boxes she sold were to people her dad works with. of these boxes 1/4 contained mint cookies. how many boxes of mint cookies did Lauren sell to people her dad worked with?
Hey there! I'm happy to help!
First, we need to find 60% of 140. This is how many boxes she sold to the people her dad works with. 60% as a decimal is 0.6 (0.6 is 60% of 1, one represents the whole, or total).
0.6×140=84
We know that 1/4 of these had mint cookies. 1/4 is 25%, so let's find 25% of 84!
0.25×84=21
Therefore, Lauren sold 21 boxes of mint cookies to people her dad works with.
Have a wonderful day! :D
Answer:
The answer is C) 21
Step-by-step explanation:
I'm right, trust me :)
30 POINTS GEOMETRY QUESTION
Answer:
2.25
Step-by-step explanation:
x/1 = (9+x)/5
9 + x = 5x
9 = 4x
x = 2.25
Answer:
x = 9/4
Step-by-step explanation:
We know that the triangles are similar
We can use ratios to solve
x x+9
----- = ----------------
1 5
Using cross products
5x = 1(x+9)
5x = x+9
Subtract x
5x-x = x+9-x
4x= 9
Divide by 4
4x/4 = 9/4
x = 9/4
Please help and I will mark brainliest :D
For this case, the first thing we should do is define the variable.
Step-by-step explanation:
b: number of bird baths
She sells them for 55% more then she paid.
Therefore, the sale price is given by:
12b+0.55(12b)
Rewriting we have:
1.55(12b)
Answer:
The selling price for b is 1.55(12b)
(a) Rita is delivering a pizza to Mark's house. She drives at a constant speed toward the house until she hits a traffic jam and has to stop for several minutes
After, she starts up again and drives at a faster speed than before
(b) chai is driving on the freeway at constant speed. He then speeds up to pass a truck. After passing the truck, he exits the freeway and slows down.
Answer:
A.) Option C
B.) Option A
Step-by-step explanation:
A.) Rita is delivering a pizza to Mark's house. We will assume she is starting from rest as She drives at a constant speed toward the house until she hits a traffic jam and has to stop for several minutes. On the graph, the line will be horizontal as she stop for some time.
After, she starts up again and drives at a faster speed than before. The slope of the latter will be greater than the former.
Since the graph is distance - time graph, the best graphical representation for this illustration is C
B.) The is a speed - time graph.
At constant speed, the graphical line will be horizontal. As Chau speed up, that means he accelerated and increased the speed. The slope of the line will be positive. And finally, as he slow down, the car will be decelerating. The slope of the graph will be negative.
The correct graphical representation for this illustration is A
There were 3 bands that
performed at the talent show.
What percent of the 16 group acts
were band performances?
Answer:
18.75%
Step-by-step explanation:
(round answer if needed)
Answer: 18.75%
Step-by-step explanation:
divide 100 by 16
100/16=6.25
6.25x3=18.75
A store sells books for $12 each. In the proportional relationship between x, the number of books purchased, and y, the cost per books in dollars" to "y, the total cost of the books in dollars, the constant of proportionality is 12. Which equation shows the relationship between x and y?
Answer:
Y=12x
If Y represents the Cost and X represents the number of books purchased.
WORD FORM:
Cost equals 12 times as many books that are purchased.
In a word game, you choose a tile from a bag, replace it, and then choose another. If there were 8 vowels and 12 consonants, what is the probability you will choose a consonant first, then a vowel
Answer:
Fraction- 12/20 or 3/5
Percentage- 60%
Decimal-0.6
Step-by-step explanation: Add 8 and 12 together and that’s your denominator and top is 12 because those are many consonants there are. So the fraction is 12/ 20 an you can simplify it. Then you can change it into a decimal and percentage.
Find the area of the shaded polygon:
Answer:
6 units squared
Step-by-step explanation:
To solve this problem you can solve for the entire area of the square and subtract the area of the unfilled areas for the area of the shaded region..
Area of entire square is 4*4=16
Now for the sections that are unfilled:
4*3/2= 6
1*1/2= 0.5
2*1 = 2
1*1 = 0.5
2*1/2 = 1
Total area of Unfilled region = 6 + 0.5 + 2 + 0.5 +1 = 10
Area of filled region = 16 - 10 = 6 units squared
Hope this helped!
2/9 converted into decimal rounded to the nearest hundreth
Answer:
0.22
Step-by-step explanation:
2/9 as a decimal is 0.22222222
This number rounded off to its nearest hundredth is 0.22
Hope it helped
Answer:
[tex]\boxed{\sf 0.22}[/tex]
Step-by-step explanation:
[tex]\sf \frac{2}{9} =0.2222222222222222...[/tex]
[tex]\sf Round \ to \ nearest \ hundredth.[/tex]
[tex]\sf \frac{2}{9} \approx 0.22[/tex]
What do you know to be true about the values of a and b?
60°
bo
40°
A. a = b
B. a< b
0
C. a> b
Ο Ο
D. Can't be determined
Answer:
D. Can’t be determined
Step-by-step explanation:
There is no relationship.
Answer: can’t be determined
Step-by-step explanation:
You went on three hikes. On each hike, you saw a different number of animals: Hike Length of hike (km) Number of animals seen Rivers Edge 3 8 Wooded Marsh 8 20 Canyon Creek 15 35 Order your hikes by number of animals seen per kilometer from least to greatest.
Answer:
The hikes ordered from the least to the greatest number of animals seen per kilometre
Canyon Creek < Wooded Marsh < Rivers Edge
2.33 < 2.50 < 2.67
Step-by-step explanation:
Question Properly written
You went on three hikes. On each hike, you saw a different number of animals:
Hike | Length of hike (km) | Number of animals seen
Rivers Edge | 3 | 8
Wooded Marsh | 8 | 20
Canyon Creek | 15 | 35
Order your hikes by number of animals seen per kilometer from least to greatest.
Solution
Number of animals seen per kilometre = (Number of animals seen) ÷ (Length of hike in kilometres)
Rivers Edge
Number of animals seen = 8
Length of hike in kilometres = 3
Number of animals seen per kilometre = (8/3) = 2.67
Wooded Marsh
Number of animals seen = 20
Length of hike in kilometres = 8
Number of animals seen per kilometre = (20/8) = 2.50
Canyon Creek
Number of animals seen = 35
Length of hike in kilometres = 15
Number of animals seen per kilometre = (35/15) = 2.33
Ordering the hikes by number of animals seen per kilometer from least to greatest.
2.33 < 2.50 < 2.67
Canyon Creek < Wooded Marsh < Rivers Edge
Hope this Helps!!!
The temperature at noon is -4 degrees Celsius. The temperature at 6:00 pm -12 degrees Celsius. What is the difference between noon and the 6:00 pm temperatures?
Answer: The difference in the temperatures is 8° C colder between noon and 6 pm
Step-by-step explanation: To find the difference, subtract.
-12 -(-4) = -12 +4 = -8
To the nearest degree, find the measure of
Answer:
the hypotenuse(b) is 50 if that helps
Step-by-step explanation:
a=40 & c=30 if you square these two numbers, add them and find the square root you get the hypotenuse(a^2+b^2=the square root of c^2)
simplify the expression
[tex] - 3(2q + - 6) + - 2q[/tex]
Answer:
-8q +18
Step-by-step explanation:
-3 ( 2q -6) -2q
Distribute
-6q+18-2q
Combine like terms
-8q +18
what is the line of symmetry for the parabola whose equation is y=-x^2-x+2
Answer:
[tex]\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }[/tex]
Step-by-step explanation:
Hello,
We need to express this parabola using this kind of expression
[tex]y=a(x-b)^2+c[/tex]
and then, the line of symmetry will be the line x = b
Let's do it !
[tex]\text{*** Complete the square ***} \\ \\ x^2+x=x+2\cdot \dfrac{1}{2}\cdot x=(x+\dfrac{1}{2})^2-\dfrac{1^2}{2^2}=(x+\dfrac{1}{2})^2-\dfrac{1^2}{4} \\ \\ \text{*** Apply it to our parabola } \\ \\y=-x^2-x+2=-(x^2+x)+2=-[(x+\dfrac{1}{2})^2-\dfrac{1}{4}]+2 = -(x+\dfrac{1}{2})^2+\dfrac{1+2*4}{4}= -(x+\dfrac{1}{2})^2+\dfrac{9}{4} \\ \\ \text{*** It comes ***} \\ \\ \Large \boxed{\sf \ \ y=-(x+\dfrac{1}{2})^2+\dfrac{9}{4} \ \ }[/tex]
So the line of symmetry is
[tex]\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Graph the equation y = 4/5x - 1
Answer: The answer is the picture shown below
Step-by-step explanation:
To do this you will need to make a coordinate plane about 20 up and 20 down. So there is a formula that is y=mx+b which is called the slope intercept form and as you can see the problem given to you was already given in this formula. The variable m in the equation is the slope and slope is also known as rise (which basically means go up if positive and down if negative) over run (which is right if positive and left if negative) and as you can see in the equation the number 4/5 is the variable m. Since slope is rise over run 4 would be the rise and 5 would be the run, so you would go up 4 and right 5 because they are both positive. Now there is another variable that is b which would be the -1. In slope intercept formula b is the y intercept so -1 is where the line would cross the y axis. Now that you know all the parts to the slope you can put it together giving you the answer.
Answer:
In the attachment.Step-by-step explanation:
[tex]y=\dfrac{4}{5}x-1[/tex]
This is an equation for a line in the slope-intercept form.
For the straight line we only need two points on the coordinate plane.
Choose two x values. Place them in the equation and calculate the y values.
For x = 0:
[tex]y=\dfrac{4}{5}(0)-1=0-1=-1\to(0,\ -1)[/tex]
For x = 5:
[tex]y=\dfrac{4}{5}(5)-1=4-1=3\to(5;\ 3)[/tex]
Mark points on the coordinate plane and draw a line through these points.