Answer:
77.4% probability that a data value is between 36 and 41
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

What is the probability that a data value is between 36 and 41?
This is the pvalue of Z when X = 41 subtracted by the pvalue of Z when X = 36.
X = 41



has a pvalue of 0.933
X = 36



has a pvalue of 0.159
0.933 - 0.159 = 0.774
77.4% probability that a data value is between 36 and 41
Answer:
B
Step-by-step explanation:
just multiply 8.50 times 4 and all the numbers in the problem
3.6 - 3.2
z = ----------------
0.8
= 0.4/0.8 = 0.50 (answer)
Answer:
![\frac{dy}{dx} =-\sqrt[3]{\frac{y}{x} }](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D-%5Csqrt%5B3%5D%7B%5Cfrac%7By%7D%7Bx%7D%20%7D)
Step-by-step explanation:
Recall that using the chain rule we can state:

and therefore solve for dy/dx as long as dx/dt is different from zero.
Then we find dy/dt and dx/dt,
Given that

And similarly:

Therefore, dy/dx can be determined by the quotient of the expressions we just found:
now notice that we can find
from the expression for y,
and
from its expression for x.
Therefore dy/dx can be written in terms of x and y as:
![\frac{dy}{dx} =-\frac{cos(t)}{sin(t)}=-\sqrt[3]{\frac{y}{x} }](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D-%5Cfrac%7Bcos%28t%29%7D%7Bsin%28t%29%7D%3D-%5Csqrt%5B3%5D%7B%5Cfrac%7By%7D%7Bx%7D%20%7D)
If you are looking for the total number of flowers the equation should be 22 multiplied by 4 to get 88