Answer:
x ≈ 52.6°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = = , then
x = ( ) ≈ 52.6° ( to the nearest tenth )
960$
80 x 12=960
the 2 weeks means nothing
Answer:
45.12%
Step-by-step explanation:
We have that l = 50
The probability density function of the exponential distribution is:
(1 / l) * e ^ (x * 1 / l) l> 0
f (X = x) = 0 otherwise
in this case X would come being the probability the road in 30 minutes or less to pick-up the children to go to school, it would come being:
P (X <= 30) = integral from 0 to 30 [1/50 e ^ (x / 50) dx]
It is integral as a result:
P (X <= 30) = (1/50) [e ^ (- x / 50) / (-1/50)]
We evaluate x = 0 up to x = 30
P (X <= 30) = (1/50) [e ^ (- 30/50) / (-1/50)] - (1/50) [e ^ (- 0/50) / (-1 / fifty)]
P (X <= 30) = -0.5488 - (-1)
P (X <= 30) = 0.4512
Therefore the probability is 45.12%
Answer:
14a - 12
Step-by-step explanation:
12a + 7a - (5a + 12)
(12a + 7a - 5a) + (-12)
14a - 12
I hope this helps! :)
Hello,
A=(-4,2)
B=(3,-5)
AB≡y-2=(x+4)(-7)/7==>y=-x-2
Slope of the perpendicular: 1
y-2=(x-1)1==>y=x+1 is the equation of the perpendicular.
Intersection: y=x+1 and y=-x-2 ==>(-3/2,-1/2)=Q
|PQ|²=(-1/2-2)²+(1+3/2)²=25/2
|PQ|=5√2/2≈3.5355339059....