Answer:
Step-by-step explanation:
Let x be the random variable representing the times a fire department takes to arrive at the scene of an emergency. Since the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 6 minutes
σ = 1 minute
the probability that fire department arrives at the scene in case of an emergency between 4 minutes and 8 minutes is expressed as
P(4 ≤ x ≤ 8)
For x = 4,
z = (4 - 6)/1 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.023
For x = 8
z = (8 - 6)/1 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.98
Therefore,
P(4 ≤ x ≤ 8) = 0.98 - 0.23 = 0.75
The percent of emergencies that the fire department arrive at the scene in between 4 minutes and 8 minutes is
0.75 × 100 = 75%
Answer:
at the answer is about 5.29
Step-by-step explanation:
to do this u need the pythagorean theorem.
a squared+ b squared=c squared
we have the a and c values so what u would do is c squared- a squared. (8 squared - 6 squared = b squared.
Answer:
x=4
Step-by-step explanation:
It's a parallel line so the equation is
100+19x+4=180
19x=180-100-4
19x=76
x=76/19
x=4
Answer:
35x - 2
———————
5
i hope this helps
Step-by-step explanation:
A unit circle has a radius of 1.
Θ = 600°
1 circle = 360°
Θ = 360° + 240°
(x,y) = cos 360° , sin 240°
(x,y) = -0.50 , -0.886
If these were the given choices:
<span>A.) -(3^(1/2))/2 B.)-1(2^(1/2))/2 C.)-1/2 D.) (3^(1/2))/2
</span>
x = C) - 1/2
y = A) -(3^1/2) / 2