Answer:
3/10
Step-by-step explanation:
The central angle of the arc is .
The circumference of an arc of a circle is given as:
where C= circumference of the circle
θ = central angle of the arc
Therefore, the circumference of the arc is:
The circumference of the arc will be 3/10 of the circumference of the circle.
THat would be B.
The product of 22 polynomials is a polynomial.
Answer:
9/8 is simplest form
1.125 is in decimal form
Step-by-step explanation:
Answer:
(a) Probability that there are no surface flaws in an auto's interior is 0.6703 .
Step-by-step explanation:
We are given that the number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.04 flaws per square foot of plastic panel.
Let X = Distribution of number of surface flaws in plastic panels
So, X ~ Poisson()
The mean of Poisson distribution is given by, E(X) = = 0.04
which means, X ~ Poisson(0.04)
The probability distribution function of a Poisson random variable is:
Now, we know that for per square foot of plastic panel is 0.04 and we are given that an automobile interior contains 10 square feet of plastic panel.
Therefore, for 10 square foot of plastic panel is = 10 * 0.04 = 0.4
(a) Probability that there are no surface flaws in an auto's interior =P(X=0)
P(X = 0) = = = 0.6703
We are looking to find P(X>60 students)
X is normally distributed with mean 50 and standard deviation 5
We need to find the z-score of 60 students
To find the probability of P(Z>2), we can do 1 - P(Z<2)
So we read the probability when Z<2 which is 0.9772, then subtract from one we get 0.0228
The number of students that has score more than 60 is 0.0228 x 1000 = 228 students