Starting from a parent function 
, if you add a constant to the whole function, i.e. you perform the transformation
you shift the graph of the parent function by 
units, upwards if is positive, downwards otherwise.
In this case, so, you're shifting, the graph of 
5 units upwards. Since the parent function passes through the point 
, because 
, the shifted graph mantains the same 
coordinate, but the 
coordinate is increased by 5, because of the 5 units upwards shift.
Using the Empirical Rule and the Central Limit Theorem, we have that:
- About 68% of the sample mean fall with in the intervals $1.64 and $1.82.
- About 99.7% of the sample mean fall with in the intervals $1.46 and $2.
<h3>What does the Empirical Rule state?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
<h3>What does the Central Limit Theorem state?</h3>
By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation 
.
In this problem, the standard deviation of the distribution of sample means is:
68% of the means are within 1 standard deviation of the mean, hence the bounds are:
99.7% of the means are within 3 standard deviations of the mean, hence the bounds are:
More can be learned about the Empirical Rule at brainly.com/question/24537145
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X= 23 degrees
To find this you first add up 124 and 33 which equals 157. Then you would subtract 157 from 180 because all triangles equal 180.
Step-by-step explanation:
0.2m^3 = 0.0000002 cm^3
Answer:
0∙2=0
Step-by-step explanation:
Zero Property of multiplication is as follows :
The product of a number and 0 is equal to 0.
In option (c), 0 is multiplied by 2 and as a result, we get 0 as the answer.
It means,
0∙2=0
Hence, option (c) i.e. 0∙2=0 shows the Zero Property of Multiplication.
