Answer:
And we can find this probability with this difference:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the amount of cofee shops of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with this difference:
From least to greatest
0.10, 0.1, 0.29, 5.07, 5.6
I hope this is what you were looking for....
Answer:
H. $360.71
Step-by-step explanation:
The 1 in $435.15 is in the tenths place. It has a value of 1/10. One tenth that value is 1/100. To have that value, a 1 would need to be in the hundredths place: 0.01.
Of the offered choices, the only one with a 1 in the hundredths place is ...
H. $360.71
Answer:
3.14 cm²/min
Step-by-step explanation:
rate of increasing of radius, dr/dt = 0.01 cm/min
r = 50 cm
Area of plate, A = πr²
rate of increase of area
dA/dt = 2πr dr/dt
dA/dt = 2 x 3.14 x 50 x 0.01
dA/dt = 3.14 cm²/min
Thus, the increase of rate of area is 3.14 cm²/min.