Answer:
V = 240 pi
Step-by-step explanation:
We want the volume of a cylinder
V = pi r^2 h
We have the diameter and want the radius
r = d/2 = 8/2 = 4
V = pi ( 4)^2 * 15
V = pi * 16* 15
V = 240 pi
Let pi = 3.14
V =753.6 cm^3
Let pi be the pi button
V =753.9822369 cm^3
The amount of in pound of tomatoes purchased is
To obtain the number of pounds of tomatoes purchased :
- Let the price per pound of tomato = p
The Number of tomatoes purchased equals :
- Total amount spent ÷ price per pound
Therefore, the Number of tomatoes purchased will be :
The Number of pounds of tomatoes purchased =
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Answer:
a. P(x = 0 | λ = 1.2) = 0.301
b. P(x ≥ 8 | λ = 1.2) = 0.000
c. P(x > 5 | λ = 1.2) = 0.002
Step-by-step explanation:
If the number of defects per carton is Poisson distributed, with parameter 1.2 pens/carton, we can model the probability of k defects as:

a. What is the probability of selecting a carton and finding no defective pens?
This happens for k=0, so the probability is:

b. What is the probability of finding eight or more defective pens in a carton?
This can be calculated as one minus the probablity of having 7 or less defective pens.



c. Suppose a purchaser of these pens will quit buying from the company if a carton contains more than five defective pens. What is the probability that a carton contains more than five defective pens?
We can calculate this as we did the previous question, but for k=5.

Answer:
The height of the pole is 105ft,
Step-by-step explanation:
Let us call
the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is
.
The wire length
is 14 ft longer than height
, hence
.
Thus we get a right triangle with hypotenuse
, perpendicular
, and base
; therefore, the Pythagorean theorem gives

which upon expanding we get:

further simplification gives
,
which is a quadratic equation with solutions

Since the first solution
will give the triangle base length of
which is negative; therefore, we disregard it and pick the solution
.
Hence, the height of the pole is 105ft.
Answer:
it is the first one i think
Step-by-step explanation: