Answer:
0.5
Step-by-step explanation:
The given ordered pairs are: (1,2) (2,2.5) (3,3) (4,3.5) (5,4)
The corresponding sequence is :
2,2.5,3,3.5, 4,....
We can see that there is a common difference of d=0.5.
Better still we could use the slope formula:

We substitute the point (1,2) and (2,2.5).
The rate of change of this sequence is:

Answer: 60%
Step-by-step explanation:
3/5 times 20 = 60/100
Answer:
Class second have higher score and have greater spread.
Step-by-step explanation:
For first box plot
For second box plot
First class has greater minimum value, it means first class has lower grades.
First quartile of both classes are same, it means equal number students in both classes have less than 62 marks.
First class has greater median.
second class has greater third quartile.
Second class has greater Maximum value. It means second class have higher score than first class.
Second class has greater range. It means the data of second class has greater spread.
Second class has greater inter quartile range. It means the data of second class has greater spread.
Therefore, the class second have higher score and have greater spread.
Answer:
y = root under 24 (evaluate it if necessary)
or y = 2 root 6
Step-by-step explanation:
Let the reference angle be x
for the triangle in left,
b = 6-4 = 2
Now,
taking x as refrence angle,
cosx = b/h
or, cosx = 2/h
again,
for the bigger triangle,
taking x as reference angle,
cosx = b/h
or, cosx = b/6
As we can see base of bigger triangle is equal to hypotenuse of triangle at the left,
Let's suppose its a
so, cosx = a/6 = 2/a
now,
a/6 = 2/a
or, a² = 12
now,
for bigger triangle, using pythagoras theorem,
h² = p²+b²
or, 6² = y² + a²
or, 36 = y² + 12
or, y² = 24
so, y = root under 24
Answer:
0=0
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4(3y−6)=−3(8−4y)
(4)(3y)+(4)(−6)=(−3)(8)+(−3)(−4y)(Distribute)
12y+−24=−24+12y
12y−24=12y−24
Step 2: Subtract 12y from both sides.
12y−24−12y=12y−24−12y
−24=−24
Step 3: Add 24 to both sides.
−24+24=−24+24
0=0