Answer:
Average annual tuition is $16991 for the year 2020.
Step-by-step explanation:
By using excel for the equation of the line of best fit,
Slope of the line from given data = 380.0286
y - intercept of the line = 11290.1
Therefore, equation of the regression line will be,
y = 380.0286x + 11290.1
Where x = number of years after 2005
Now we have to calculate the average annual tuition in the year 2020,
By substituting the value of x = 2020 - 2005
= 15 years
y = 380.0286×(15) + 11290.1
y = 16990.529
≈ 16991
Therefore, average annual tuition is $16991 for the year 2020.
3- 2b +4 = 2-7b
3+4 = 2 - 5b
7 = 2 -5b
5 = -5b
-5b /-5 = -1
b = -1
Answer:
25 sqrt(x y^3)
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
x ≠ 0
x ≠ - 2
x ≠ - 1
x = 2
Answer:
√8 ==> 2 units, 2 units
√7 ==> √5 units, √2 units
√5 ==> 1 unit, 2 units
3 ==> >2 units, √5 units
Step-by-step explanation:
To determine which pair of legs that matches a hypotenuse length to create a right triangle, recall the Pythagorean theorem, which holds that, for a right angle triangle, the square of the hypotenuse (c²) = the sum of the square of each leg length (a² + b²)
Using c² = a² + b², let's find the hypotenuse length for each given pairs of leg.
=>√5 units, √2 units
c² = (√5)² + (√2)²
c² = 5 + 2 = 7
c = √7
The hypothenuse length that matches √5 units, √2 units is √7
=>√3 units, 4 units
c² = (√3)² + (4)²
c² = 3 + 16 = 19
c = √19
This given pair of legs doesn't match any given hypotenuse length
=>2 units, √5 units
c² = (2)² + (√5)²
c² = 4 + 5 = 9
c = √9 = 3
legs 2 units, and √5 units matche hypotenuse length of 3
=>2 units, 2 units
c² = 2² + 2² = 4 + 4
c² = 8
c = √8
Legs 2 units, and 2 units matche hypotenuse length of √8
=> 1 unit, 2 units
c² = 1² + 2² = 1 + 4
c² = 5
c = √5
Leg lengths, 1 unit and 2 units match the hypotenuse length, √5
