A function h(x) is defined by the equation h(x) = sqrt x-2 + 3. Which is the graph of h(x)?
1 answer:
<h3><u>Explanation</u></h3>
- Given Equation
- Transformation
A constant inside the square root will make the graph shift either left to right, depending on the number. From the equation. The graph shifts to right two units.
A constant outside the square root will make the graph shift up or down, depending the value. From the equation, the graph shifts up 3 units.
<h3><u>Answer</u></h3>- Second Image, the first one where x = 2 and y = 3.
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Answer:
b. Mean = 1.6 years, standard deviation - 0.92 years, shape: approximately Normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction of normal Variables:
When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a standard deviation of 4.2 years. Sample of 35:
This means that:
The distribution of life spans for electric ranges has a mean of 13.4 years and a standard deviation of 3.7 years. Sample of 40:
This means that:
Which of the following best describes the sampling distribution of the difference in mean life span of gas ranges and electric ranges?
Shape is approximately normal.
Mean:
Standard deviation:
So the correct answer is given by option b.