Answer:
15 sqrt 2
Step-by-step explanation:
Use Pythagorean Theorem
a^2 + b^2 = c^2
15^2 + 15^2 = c^2
225 + 225 = 450
Find prime factors of the sq rt of 450
450 = 2 * 3 * 3 * 5 * 5
15 sqrt 2
Profit for August: x
Profit for September: x - 22%x
Total Profit for August & September: $689,000
x + x - 22% x = 689,000
2x - .22x = 689,000
1.78x = 689,000
x = 689,000/1.78
x = 387,078.65
August Profits: $387,078.65
September Profits: 387,078.65 - (22%)(387,078.65) = 387,078.65 - 85,157.30 = 301,921.35
August Profits: $387,078.65
September Profits
$301,921.35
Answer:
D (4,2)
Step-by-step explanation:
you just change the y value to the opposite sign hehe
Answer:
Step-by-step explanation:
Given the explicit function as
f(n) = 15n+4
The first term of the sequence is at when n= 1
f(1) = 15(1)+4
f(1) = 19
a = 19
Common difference d = f(2)-f(1)
f(2) = 15(2)+4
f(2) = 34
d = 34-19
d = 15
Sum of nth term of an AP = n/2{2a+(n-1)d}
S20 = 20/2{2(19)+(20-1)15)
S20 = 10(38+19(15))
S20 = 10(38+285)
S20 = 10(323)
S20 = 3230.
Sum of the 20th term is 3230
For the explicit function
f(n) = 4n+15
f(1) = 4(1)+15
f(1) = 19
a = 19
Common difference d = f(2)-f(1)
f(2) = 4(2)+15
f(2) = 23
d = 23-19
d = 4
Sum of nth term of an AP = n/2{2a+(n-1)d}
S20 = 20/2{2(19)+(20-1)4)
S20 = 10(38+19(4))
S20 = 10(38+76)
S20 = 10(114)
S20 = 1140
Sum of the 20th terms is 1140
The variance of a distribution is the square of the standard deviation
The variance of the data is 2.2
<h3>How to calculate the variance</h3>
Start by calculating the expected value using:
So, we have:
This gives
Next, calculate E(x^2) using:
So, we have:
The variance is then calculated as:
So, we have:
Approximate
Hence, the variance of the data is 2.2
Read more about variance at:
brainly.com/question/15858152