Answer:
Any value of
r
makes the equation true.
All real numbers
Interval Notation:
(-Any value of
r
makes the equation true.
All real numbers
Interval Notation:
(
∞
,∞
)
Step-by-step explanation:
Answer:
7(0.75) = 5.25
f = 7
Step-by-step explanation:
Answer:
The number of Jack's stamps is 33 and Dylan's stamps is 13
Step-by-step explanation:
Let
x -----> the number of Jack's stamps
y -----> the number of Dylan's stamps
we know that
x+y=46 ----> equation A
x=y+20 -----> equation B
Solve by substitution
substitute equation B in equation A and solve for y
(y+20)+y=46
2y=46-20
2y=26
y=13 stamps
Fond the value of x
x=y+20 -----> x=13+20=33 stamps
therefore
The number of Jack's stamps is 33 and Dylan's stamps is 13
Answer:
Ratio of area of triangles MNP and ABC is 1.05
Step-by-step explanation:
There are 2 triangles ABC and MNP.
We are given that ,m∠A = m∠M.
AB = 16 and AC = 10.
MN = 7 and MP = 24.
Area of a triangle ∝ Product of any two sides.
So area of triangle ABC ∝ 16
Area of triangle ABC = 160
,
where k is a constant.
So area of triangle MNP ∝ 7 
Area of triangle MNP = 168
So ratio of area of triangles = 
= 
= 1.05
we know that
<u>The correlation coefficient</u> is a measure of linear association between two variables. Values of the correlation coefficient are always between −1 and +1.
Using a mathematical tool-------> Excel software
Find the correlation coefficient
see the attached table N 1 and N 2
the answer is
Part 1) The correlation coefficient of the data is 0.02
Part 2) The correlation coefficient of the data is 0.98