We know that
[length of a circumference ]=2*pi*r
for r=3 ft
[length of a circumference ]=2*pi*3-----------> 18.84 ft
<span>The angular velocity of the particle is 18 radians per minute.
if 2pi radians (full circle)------------------> 18.84 ft
18 radians----------------------------------> X
X=18*18.84/(2*pi)---------> X=54 ft
so
</span>The linear velocity of the particle is 54 ft/minute
the answer is
54 ft/min
solution:
The probability mass function for binomial distribution is,
Where,
X=0,1,2,3,…..; q=1-p
find the probability that (p∧ ≤ 0.06) , substitute the values of sample units (n) , and the probability of nonconformities (p) in the probability mass function of binomial distribution.
Consider x to be the number of non-conformities. It follows a binomial distribution with n being 50 and p being 0.03. That is,
binomial (50,0.02)
Also, the estimate of the true probability is,
p∧ = x/50
The probability mass function for binomial distribution is,
Where,
X=0,1,2,3,…..; q=1-p
The calculation is obtained as
P(p^ ≤ 0.06) = p(x/20 ≤ 0.06)
= 50cx ₓ (0.03)x ₓ (1-0.03)50-x
= (50c0 ₓ (0.03)0 ₓ (1-0.03)50-0 + 50c1(0.03)1 ₓ (1-0.03)50-1 + 50c2 ₓ (0.03)2 ₓ (1-0.03)50-2 +50c3 ₓ (0.03)3 ₓ (1- 0.03)50-3 )
=( ₓ (0.03)0 ₓ (1-0.03)50-0 + ₓ (0.03)1 ₓ (1-0.03)50-1 + ₓ (0.03)2 ₓ (1-0.03)50-2 ₓ (0.03)3 ₓ (1-0.03)50-3 )
Standard deviations of the four activities of the critical path are 1,2,4,2.
Standard deviation of this critical path = Sum of square root of variance of this corresponding critical path
Standard deviation of critical path 
Now we need to find the probability that the project will completed in 38 weeks given that its expected completion time is 40 weeks.
That is, we need to find P(X<38) :
Probability 
Thus the probability that the project will be completed in 38 weeks is 0.34.
Complete question:
Which equation accurately represents this statement? Check all that apply.
Negative 3 less than 4.9 times a number, x, is the same as 12.8
A: -3-4.9x=12.8
B: 4.9x-(-3)=12.8
C: 3+4.9x=12.8
D: (4.9-3)x=12.8
E: 12.8=4.9x+3
Answer:
B: 4.9x-(-3)=12.8
C: 3+4.9x=12.8
E: 12.8=4.9x+3
Step-by-step explanation:
The word equation can be expressed mathematically as follows
negative 3 → -3
less than 4.9 times a number , x → 4.9 x - (-3)
is same as 12.8 → 4.9 x - (-3) = 12.8
The equation can be expressed as
4.9 x - (-3) = 12.8
when you open the bracket, you multiply -3 time - 1 . MInus times minus is equals to plus. so you get
4.9 x + 3 = 12.8
12.8 = 4.9x+3
Answer:
A) f(-3) = g(-4)
Step-by-step explanation: hope it helps
