Answer:
15 students study math and not English
Step-by-step explanation:
lets take the # or people who study math but not English as "x"
so 90 students study math or English
25 students study English and not math
and
50 study both
since 90 students study math or English that is what our equation will equal.
so
25+x+50=90
25+50=75
75+x=90
subtract "75" from both sides:
x=15
Hope this helps!
Answer:
x = 0
Step-by-step explanation:
B. y = 3x - 2
Step-by-step explanation:
A linear regression line is in form of Y=A+Bx where B is the slope of the line and A is the intercept when x=0
Form a table as shown
x y xy x² y²
1 4 4 1 16
2 1 2 4 1
3 5 15 9 25
4 10 40 16 100
5 16 80 25 256
6 19 114 36 361
7 15 105 49 225
28 70 360 140 984 ------sum
From the table;
n=7 ---number of data points
∑x = 28
∑y=70
∑xy =360
∑x² =140
∑y² = 984
Applying equations for A and B
A=(∑y)(∑x²) - (∑x)(∑xy) / n (∑x²)-(∑x)²
A=(70)(140) - (28)(360) / 7(140)-(28²)
A=9800 - 10080 / 980-784
A= -280 /196
A= -1.43
B= n(∑xy)-(∑x)(∑y) / n(∑x²)-(∑x)²
B=7(360)-(28)(70) / 7(140) - (28²)
B=2520-1960 /980-784
B=560/196
B=2.86
The equation will be;
Y=A+Bx
Y=-1.43+2.86x
Y=2.86x-1.43
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Regression line : brainly.com/question/12280902
Keywords : equations, regression line, data, table
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Answer:
A.)lPace the compass needle on M and, keeping the compass width the same, draw two arcs that intersect
Step-by-step explanation:
In the construction of a line perpendicular to AB←→ and passing through an external point M the first step must be"Place the compass needle on M and, keeping the compass width the same, draw two arcs that intersect AB←→". After that you can draw arcs from intersection points (keeping the compass width same as before) to the opposite side of M, name it as N than use straightedge to draw line passes through M and n that would be perpendicular line to AB.
