Answer:
Factor 3x^2-17x-20, and you get (x + 1)(3 x - 20)
x = 17/6 + sqrt(1729)/6, x = 17/6 - sqrt(1729)/6
Step-by-step explanation:
Factor 3x^2-17x-20, and you get (x + 1)(3 x - 20)
When 3x^2-17x-20 is equal 100
3x^2-17x-20=100
Subtract both sides by 100
3x^2-17x-120=0
Use the quadratic formula
x = 17/6 + sqrt(1729)/6, x = 17/6 - sqrt(1729)/6
Answer:
The probability that at most 6 will come to a complete stop is 0.7857.
Step-by-step explanation:
Let <em>X</em> = number of drivers come to a complete stop at an intersection having flashing red lights in all directions when no other cars are visible.
The probability of the event <em>X</em> is, P (X) = <em>p</em> = 0.25.
The sample of drivers randomly selected is of size, <em>n</em> = 20.
The random variable <em>X</em> follows a binomial distribution with parameters <em>n</em> = 6 and <em>p</em> = 0.25.
The probability function of Binomial distribution is:

Compute the probability that at most 6 will come to a complete stop as follows:
P (X ≤ 6) = P (X = 0) + P (X = 1) + P (X = 2) + P (X = 3)
+ P (X = 4) + P (X = 5) + P (X = 6)

Thus, the probability that at most 6 will come to a complete stop is 0.7857.
Answer:
11x
Step-by-step explanation:
Answer:
Step-by-step explanation:
l -> length
b -> width
h -> height
Find the area of four walls and ceiling. then subtract the area of four windows and a door form that area.
Area of four walls + <u>ceiling</u> = 2( lh + bh) +<u>lb</u>
= 2*(20*5 + 15*5) + 20*15
= 2( 100 + 75) + 300
= 2* 175 + 300
= 350 +300
= 650 sq m
Area of window = 2 *3 = 6 sq.m
Area of four windows = 4*6 = 24 sq.m
Area of door = 2 * 1 = 2 sq.m
Area of four walls excluding 4 windows and door = 650 - 24 - 2 = 624 sq.m
Cost of painting = 624 * 6.50
= $ 4056
Parallelograms have equal and parallel opposite sides
<em>The coordinates of the 4th point is (-2,3)</em>
Let the parallelogram be ABCD, such that:



A and B have the same y-coordinates, while their x-coordinates are additive inverse
This means that:
The y-coordinates of point C and point D will be the same, while their x-coordinates will be additive inverse.
<u>For point C</u>
We have:


<u>For point D</u>
The coordinates would be:


Hence, the coordinates of D is (-2,3)
Read more about parallelograms at:
brainly.com/question/9680084