Assume the readings on thermometers are normally distributed with a mean of 0degreesc and a standard deviation of 1.00degreesc.
find the probability that a randomly selected thermometer reads greater than 2.07 and draw a sketch of the region.
1 answer:
Let Z be the reading on thermometer. Z follows Standard Normal distribution with mean μ =0 and standard deviation σ=1
The probability that randomly selected thermometer reads greater than 2.07 is
P(z > 2.07) = 1 -P(z < 2.07)
Using z score table to find probability below z=2.07
P(Z < 2.07) = 0.9808
P(z > 2.07) = 1- 0.9808
P(z > 2.07) = 0.0192
The probability that a randomly selected thermometer reads greater than 2.07 is 0.0192
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Answer:
option C
Step-by-step explanation:
f(x)=-0.08x(x^2-11x+18)
Factor the parenthesis and find out the x intercepts
(x^2-11x+18)
We find out two factors whose product is 18 and sum is -11
-9 and -2 gives us product 18
-9 -2 gives us sum -11
(x^2-11x+18) =(x-9)(x-2)
f(x)=-0.08x(x^2-11x+18)
f(x)= -0.08x(x-9)(x-2)
set f(x) =0 and solve for x
-0.08x(x-9)(x-2) =0
-0.08x =0, so x=0
x-9 = 0 , so x=9
x-2 =0 , so x=2
x intercepts are (0,0) (2,0) and (9,0)
x intercepts are not repeating
so the graph crosses x -axis at x=0, 2,9
option C is correct
The graph is attached below4
Answer:
218
Step-by-step explanation:
first find the area of the circle-
to find the area of the triangle, we need the base and the height. The base we know is 16, since we don't know the height yet, use the Pythagorean theorem to find the height. One leg is 16 the hypotenuse is 20 (2* the radius).
Now I know the height is 12. Find the area of the triangle
subtract the area of the triangle from the area of the circle
314-96=218