Answer:
The mean is 
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 problem, we have that:

What is the mean of this normal distribution if the probability of scoring above x = 209 is 0.0228?
This means that when X = 209, Z has a pvalue of 1-0.0228 = 0.9772. So when X = 209, Z = 2.





The mean is 
Answer:
$64.13
Step-by-step explanation:
the tip would be added to the meal cost
Answer: X=2
Step-by-step explanation:
Assuming the function is
All logarithmic functions, despite their base, has a vertical asymptote at argument = 0.
That is not changed by the vertical stretching made by the 4 which multiplies the logarithm nor the vertical shift made by the +5.
In this case the argument is x - 2, then the vertical asymptote is:
x - 2 = 0
Answer:
the length of the thread remaining is 790 cm
Step-by-step explanation:
Given;
original length of the thread, L₀ = 10 m = 1000 cm
the length of the thread used, L₁ = 210 cm
The length of the thread remaining is calculated as follows;
ΔL = L₀ - L₁
ΔL = 1000 cm - 210 cm
ΔL = 790 cm
Therefore, the length of the thread remaining is 790 cm
Answer:
12 and square
Step-by-step explanation: