Answer:
a = 2
b = 3
c = 8
Step-by-step explanation:
First, let us look at the first two (far left) fractions to solve for a.
Since
, nothing needs to change in the numerator. 4 = 
a = 2.
Next, we will look at the first and third fractions to solve for b.
= 32
32 / 4 = 8
= 8
b = 3
Lastly, we will solve for c.
All of these fractions simplify to 8 and are equal to each other.
c = 8
Answer:
a) The mean is 
b) The standard deviation is 
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be 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.
The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.
This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when 
So




The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.
This means that when X = 71.52, Z has a pvalue of 0.8997. This means that when 
So




Since we also have that 





Question
The mean is 
The standard deviation is 
Answer: x = 1
Step-by-step explanation: In short, 0 is the only number such that for any number x, x + 0 = x. ... Well, it's the only number which can be multiplied by any other number without changing that other number. In short, the multiplicative identity is the number 1, because for any other number x, 1*x = x.
The simplified polynomial is; xy(x²y - xy² +1) and; the value when x=-3 and y=2 is; -186
From the polynomial given;
The polynomial can be factorised to yield a simpler form as follows;
This is so because, xy is a common factor.
The value is therefore;
- (-3×2)((-3)²2 - (-3×2²) +1)
= -186
Read more on polynomials;
brainly.com/question/2833285