Answer:
The z-score for a data value of 121 is -2.29.
Step-by-step explanation:
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 problem, we have that:

Find the z-score for a data value of 121.
This is Z when X = 121. So



The z-score for a data value of 121 is -2.29.
Answer:
all work is pictured and shown
Answer:

Step-by-step explanation:
<u>Exponential Growth
</u>
The natural growth of some magnitudes can be modeled by the equation:

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
The initial number of bacteria is Po=40 and it doubles (P=2Po) at t=20 min. With that point we can find the value of r:

Simplifying:

Solving for 1+r:
![1+r=\sqrt[20]{2}](https://tex.z-dn.net/?f=1%2Br%3D%5Csqrt%5B20%5D%7B2%7D)

The exponential function that models the situation is:

Answer:
exactly 12 !
Step-by-step explanation:
3/4 is the length need, times 12, which is the end result of scarves, equals 9, the yards of fabric !!
3/4 x 12 = 9
i hope this helped!!!!