Answer:
<h3>
Step-by-step explanation:</h3>
The z-value is computed from ...
... z = (x -µ)/σ
... z = (184 -206)/10 = -2.2 . . . . for $184
... z = (200 -206)/10 = -0.6 . . . . for $200
You can look up these values in a normal distribution table, or you can use an appropriate calculator to find the corresponding percentiles.
... -2.2 corresponds to the 1.390 percentile. (That amount of area is below -2.2 standard deviations from the mean.)
... -0.6 corresponds to the 27.425 percentile.
Subtracting the two percentages gives the percentage of expenses between $184 and $200. That number is 26.035% ≈ 26%.
_____
<em>Comment on the calculator display</em>
The difference that got cut off from the display in the attachment is ...
... 0.2603496703
The <em>normalcdf( )</em> function requires a lower limit. Using -8 standard deviations is effectively equivalent to -∞ for this purpose, as any lower number has no effect on the least-significant digits of the result.
Answer:
The equation that can be used to find the width is 2(13 + w) = 42
The width of the rectangle is 8 inches
Step-by-step explanation:
The formula of the perimeter of a rectangle is P = 2(l + w), where l is its length and w is its width
∵ One rectangle has a length of 13 inches
∴ l = 13 inches
∵ Its perimeter is 42 inches
∴ P = 42 inches
- Substitute the values of l and P in the formula of the perimeter
∵ 42 = 2(13 + w)
The equation that can be used to find the width is 2(13 + w) = 42
To find W divide both sides by 2
∴ 21 = 13 + w
- Subtract 13 from both sides
∴ 8 = w
The width of the rectangle is 8 inches
Answer:
11.5
The sample standard deviation measures the spread of a data distribution of the sample. It is usually used to estimate the population standard deviation
Answer:
The 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).
Step-by-step explanation:
The information provided is:
The critical value of <em>z</em> for 90% confidence level is, 1.645.
Compute the 90% confidence interval estimate of the mean annual income of all company presidents as follows:
Thus, the 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).
This interval implies that there is 90% probability that the true mean annual income of all company presidents is within this interval.
<span>Multiplication with fractions is similar to multiplication with whole numbers in that you are often finding the product of groups of items. They are different in that you can multiply with fractions to find parts of an amount.</span>
