The equation that gives the coordinates (0,1), (2,5), (3,7) is y =2x + 1.
Step-by-step explanation:
Step 1; We need to determine the equation relating the x to the f(x) values from the given coordinates. y is the dependent value whereas x is the independent value i.e. y's value depends on x's value.
Step 2; If we multiply the x value with 2 and add the resulting answer with 1 we get the y value.
y = 2x + 1 is the equation that relates the values in the table.
Step 3; Now we substitute the values in the equation to see if it's correct.
For x = 0, y = 2(0) + 1 = 0 + 1 = 1,
For x = 2, y = 2(2) + 1 = 4 + 1 = 5,
For x = 3, y = 2(3) + 1 = 6 + 1 = 7.
So the equation that gives the coordinates (0,1), (2,5), (3,7) is y =2x + 1.
Answer:
21 books
Step-by-step explanation:
130-4=x
x/6= answer
D) The produce costs about $3. ($100.80/35=$2.88, estimated up to 3)
e) Each juice box contains about 8.2 ounces of juice, or 8 oz. (49.2/6=8.2 (can be estimated to 8 oz)
f) About 0.04 L. (0.78/20=0.039, estimated to 0.04)
Hope this helps!
Table of ordered data
number of value
data
1 62
2 88
3 89
4 90
5 92
6 95
7 96
8 98
9 100
10 100
Range of scores: 100 - 62 = 38
Oulier: 62 => Range without the outlier = 100 - 88 = 12
Interquartile range, IQR, = difference between third quartile and first quartile: IQR = Q3 - Q1
Quartlies of all the data:
1 62
2 88
3 89 --------------- first quartile, Q1 = 89
4 90
5 92
------------------------------------------ median, Q2 = (95 + 92) / 2 = 93.5
6 95
7 96
8 98 ---------------- third quartile, Q3 = 98
9 100
10 100
=> IQR = 98 - 89 = 9 : the interquartle range is 9
Quartlies without the outlier:
2 88
3 89
------------------------------------- first quartile, Q1 = (89 + 90) / 2 = 89.5
4 90
5 92
6 95 --------------- median, Q2 = 95
7 96
8 98
------------------------------------ third quartile, Q3 = (98 + 100) / 2 = 99
9 100
10 100
=> IQR = Q3 - Q1 = 99 - 89.5 = : the interquartle range without the outlier is 9.5
Therefore, the outlier impacts more the range than it impacts the IQR.
THE ONLY STATEMENT THAT IS FALSE IS THE NUMBER 5.
