So first you would divide 1950/6 to find the amount for one year of their age.
Then you would multiply that by the ages, which should get you 4 numbers, then you all those numbers together. Try 9750.
Let's calculate the slope of the A(3,1.5) and B(5, 2.5)
The formula of the slope m =(y₂-y₁)/(x₂-x₁)
m = (2.5 - 1.5)/(5 - 3)
m = (1)/(2) = 0.5
Aaron rate for mowing lawns is 0.5 Acre/Hour
Answer:
Hence, the set that represent a negative linear association between x and y is:
Set A.
Step-by-step explanation:
We are given 4 sets of data as:
<u>Set A </u>
x 1 2 3 4 5 6 7 8 9
y 10 9 8 7 6 5 4 3 2
<u>Set B </u>
x 1 2 3 4 5 6 7 8 9
y 3 4 5 6 7 8 9 10 11
<u>Set C </u>
x 1 2 3 4 5 6 7 8 9
y 8 6 5 4 3.5 3 2.5 2 2
<u>Set D </u>
x 1 2 3 4 5 6 7 8 9
y 1 2.5 2.5 3 4 5 6 8 9
We are asked to determine the set which represent negative linear association between x and y?
- Clearly in Set B and Set D the values of y keeps on increasing as the value of x increases; hence they both represent a positive linear association between x and y.
- In set C the relationship is non-linear though it is negative.
- Clearly in Set A we could see that the the y is related to x as:
y=11-x or y= -x+11.
Hence, clearly we could see that the relationship is linear and also negative as the value of y keeps on decreasing with increasing x.
Hence, the set that represent a negative linear association between x and y is:
Set A.
Answer:
an = −1,171,875(1/5)^n-1
Step-by-step explanation:
The given sequence is geometric sequence since they have the same common ratio r. The nth term of a geometric sequence is expressed as;
an = ar^n-1
n is the number of terms
r is the common ratio
a is the first term
From the sequence;
a = −1,171,875
r = −234,375 /−1,171,875 = -46,875/−234,375 = 0.2
r = 1/5
Substitute the values in the formula;
an = −1,171,875(1/5)^n-1
Hence the required explicit formula is an = −1,171,875(1/5)^n-1
Answer:
The compound inequality:
30 ≤ 2L + 2w ≤ 64
w < 12
The range:
3 ≤ w < 12
Step-by-step explanation:
Let L be he length , w the width and p the perimeter
p=2L + 2w
30 ≤ p ≤ 64 ⇌ 30 ≤ 2L + 2w ≤ 64 ⇌ 30 ≤ 24 + 2w ≤ 64 ⇌ 6 ≤ 2w ≤ 40
⇌ 3 ≤ w ≤ 20
but ,since the width is less than the length then w < 12
then 3 ≤ w < 12