Answer:
0.34134
Step-by-step explanation:
in other to solve for this question we would be using the z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = standard deviation
the question tells us to find the probability that a worker selected at random makes between $350 and $400
let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.
z1 = (x1 - μ) / σ = (350-400) / 50 = -1
z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0
from tables, P(z <= -1) = 0.15866
P(z <= 0) = 0.5
then the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =
0.34134
that explains that the probability that a worker selected at random makes between $350 and $400 = 0.34134
<h3><u>Radius as function of volume is:</u></h3>
<em><u>Solution:</u></em>
<em><u>The volume of cone is given as</u></em>:
Where,
r is the radius
h is the height
From given,
height = 20 inches
From formula,
Rearrange , so that r is alone in left side of equation
Substitute h = 20
Thus, radius as function of volume is:
Answer:
26
Step-by-step explanation:
When two lines are parallel, corresponding angles are equal.
Here,
m II n
5x + 13 and 143 are corresponding angles.
So,
5x + 13 = 143
Substract 13 on both sides,
5x = 143 - 13
5x = 130
Divide 5 on both sides,
x = 130 / 5
x = 26
In probability, there is an equation appropriate for repeated trials. This concept is used to find the probability of an event happening when a number of a series of trials are done. The equation is:
n!/r!(n-r)! * p^(n-r) * q^r, where
n is the number of total number of trials
r is the number of success from the trials
p is the binomial probability of the event happening
q is equal to 1 - p
It is important to note that probability is a part of the whole. In this problem, we are to find the probability of at least one defect. That means it encompasses also the probability of 2, 3, and 4 defects. To be easier, let's just find the probability of no defect, then find subtract this to 1, to get the answer.
So, r=0 defects, n=4 trials, p = 10% defect rate, q = 90%. Substituting,
4!/0!(4-0)! * (0.1)^(4-0) * (0.9)^(0) = 0.0001
That means the probability of at least one defect is 1 - 0.0001 = 0.9999.