Answer:
width=4in.
length=13in
Step-by-step explanation:
let the width of the rectangle be x
then the length will be x+9
Area= length×width
52= (x+9)x
52= x²+9x
x²+9x-52=0
x²+13x-4x-52=0
x(x+13) - 4(x+13)= 0
(x-4)(x+13)=0
x=4 or -13
dimension cannot be negative
hence x=4in
the width is 4in. and the length is 4+9=13in.
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
Change 24/25 into 100 which is equal to 96/100:
the answer is 87.96
Answer:
Step-by-step explanation:
Cosecant function is undefined when angle is 0 radians and equal to 1 when angle is 0.5π. The graphic shows a translation of 2 units in the +y direction. Then, the function is: