We are given 2 points with there coordinates easy to calculate:
the upper one A(1,15) & the lower one B(6,10). Moreover the equation of this linear function is y = mx + b
1st) calculate m= (10-15) / (6-1) [FOMULA m=(y₂ - y₁) / (x₂ - x₁)]
m= -5/5 ==> m= - 1==> y=-x + b. To calculate b, replace x & y by any of the 2 points A, B. Say A(1,15)
15 = - (1) + b ==> b= 16 & final equation y = -x +16
Answer:
a) All of them are out of charge = 9.31x10⁻¹⁰
b) 20% of them are out of charge = 5.529x10⁻⁴
Step-by-step explanation:
This problem can be modeled as a binomial distribution since
There are n repeated trials and all of them are independent of each other.
There are only two possibilities: battery is out of charge and battery is not out of charge.
The probability of success does not change with trial to trial.
Since it is given that it is equally likely for the battery to be out of charge or not out of charge so probability of success is 50% or 0.50
P = 0.50
1 - P = 0.50
a) All of them are out of charge?
Probability = nCx * P^x * (1 - P)^n-x
Probability = ₃₀C₃₀(0.50)³⁰(0.50)⁰
Probability = 9.31x10⁻¹⁰
b) 20% of them are out of charge?
0.20*30 = 6 batteries are out of charge
Probability =₃₀C₆(0.50)²⁴(0.50)⁶
Probability = 5.529x10⁻⁴
Make a graph and start at the origin (0,0) count down 5 units and across to the right 4 units. Put a dot here. For every 1 unit the line moves to the right, it moves down 3.
Answer:
Hence x = 60 and y = 50
e = 85 degrees
f = 158 degrees
Step-by-step explanation:
1) The sum of the interiror angle of the triangle is equal to the exterior
Given
Interior angles = y and 70
Exterior angle = 120 degrees
According to the law;
y + 70 = 120
y = 120-70
y = 50°
Sum of angle in the triangle is 180
x + y + 70 = 180
x + 50 + 70 = 180
x + 120 = 180
x = 180-120
x = 60
Hence x = 60 and y = 50
2) The sum of angles on a straight line is 180 degrees
40 + 55 + e = 180
95 + e = 180
e = 180 - 95
x = 85 degrees
3) Sum of angle at a point is 360 degrees
Hence 130 + 36.8 + 35.2 + f= 360
130 + 72 + f = 360
202 + f = 360
f = 360 - 202
f = 158 degrees
A unit rate where one is in the Denometer, so you would want to divide the bottom by 10.
