In order to fully understand the problem, it is best to sketch it. Sketching the system, we will see that the system forms a triangle where the angle of elevation is 36 degrees. We are asked to find the hypotenuse. We can use a trigonometric function. It should be noted that one of the sides should also be given in order to calculate the hypotenuse. Trigonometric functions that can be used are:
sin(theta) = opposite / hypotenuse
cos(theta) = adjacent / hypotenuse
T= total played
e= # evenings played
m= # minutes played
Total equals number of evenings played multiplied by number of minutes plated per evening.
EQUATION:
t=e * m
EQUATION (if 30 minutes per evening):
t=30e
Example:
3 nights, 30 minutes played
t= 3 * 30
t=90 minutes total played
Hope this helps! :)
Standard Deviation, σ: 1.5
Count, N: 10
Sum, Σx: 15
Mean, μ: 1.5
Variance, σ2: 2.25
Steps
σ2 =
Σ(xi - μ)2
N
=
(0 - 1.5)2 + ... + (5 - 1.5)2
10
=
22.5
10
= 2.25
σ = √2.25
= 1.5
Answer:
B
Step-by-step explanation:
y=mx+b
y=-x (y=-1x+0)
b=0
m=rise/run=-1/1
4x + 5y = 31
5y = -4x + 31
y = -4/5x + 31/5...the slope here is -4/5. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is 5/4 (see how I flipped the slope and changed the sign)
y = mx + b
slope(m) = 5/4
(-1,-7)...x = -1 and y = -7
now we sub and find b, the y int
-7 = 5/4(-1) + b
-7 = -5/4 + b
-7 + 5/4 = b
-28/4 + 5/4 = b
- 23/4 = b
so ur perpendicular line will be : y = 5/4x - 23/4
