Answer:
a) 0.2347, 0.0007
b) 1.30
c) 0.63
Step-by-step explanation:
Given –
Mean = 73.4
Sigma = 4.7
Probability that the speed is greater than 70 is
P (X>70) = P (z> (70-73.4)/4.7) = P (z>-0.72) = 0.7653
a) The probability that a car is not speeding = 1 - 0.7653 = 0.2347
The probability that all 5 cars are not speeding = (0.2347)5 = 0.0007
b) E (X) = 1/p = 1/0.7653 = 1.30
c) Standard deviation = Sqrt (1-p/p) = (1-0.7653)/0.7653 = 0.63
The expression equivalent to <span> ^4 sqrt 144a^12 b^3 will be found by simplifying our expression as follows:
</span><span> ^4 sqrt 144a^12 b^3
=(144a^12b^3)^(1/4)
=(12^2a^12b^3)^(1/4)
=12^(1/4*2)a^(12*1/4)b^(3*1/4)
=12^(1/2)a^3b^(3/4)
Answer: </span>12^(1/2)a^3b^(3/4)
Answer:
Following are the response to the given points:
Step-by-step explanation:
For question 5.11:
For point a:
For all the particular circumstances, it was not an appropriate sampling strategy as each normal distribution acquired is at a minimum of 30(5) = 150 or 2.5 hours for a time. Its point is not absolutely fair if it exhibits any spike change for roughly 10 minutes.
For point b:
The problem would be that the process can transition to an in the state in less than half an hour and return to in the state. Thus, each subgroup is a biased selection of the whole element created over the last
hours. Another sampling approach is a group.
For question 5.12:
This production method creates 500 pieces each day. A sampling section is selected every half an hour, and the average of five dimensions can be seen in a
line graph when 5 parts were achieved.
This is not an appropriate sampling method if the assigned reason leads to a sluggish, prolonged uplift. The difficulty would be that gradual or longer upward drift in the procedure takes or less half an hour then returns to a controlled state. Suppose that a shift of both the detectable size will last hours
. An alternative type of analysis should be a random sample of five consecutive pieces created every
hour.
9514 1404 393
Answer:
x^2/1 +y^2/81 = 1
Step-by-step explanation:
We know that the equation of a unit circle is ...
x^2 +y^2 = 1 . . . . . equation of a unit circle
We also know that replacing x with x/a in a function will expand the graph by a factor of 'a'. Similarly, replacing y with y/b will do the same in the vertical direction.
An ellipse is a circle that has had different expansion factors applied along its different axes. Here, the given points tell us the center of the ellipse is (0, 0), and that it has been expanded by a factor of 9 in the y-direction and a factor of 1 in the x-direction This means the equation for it would be ...
(x/1)^2 +(y/9)^2 = 1 . . . . . equation for desired ellipse
In the required form, this is ...

Answer:
I think the answer is 1/9
Step-by-step explanation:
I did the equations by using a tree diagram to explain it but