Divide. 26−6 Enter your answer as a mixed number, in simplified form,
1 answer:
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Answer:
The bottom for an A is 75. Round to the nearest whole number as needed.
Step-by-step explanation:
1) Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent the scores on this case, and for this case we know the distribution for X is given by:
And let represent the sample mean, the distribution for the sample mean is given by:
2) The bottom for an A is _____. Round to the nearest whole number as needed.
And we want the top 5.5% of the scores, so we need a value a such that:
or
We need on the right tail of the distribution a value a that gives to us 94.5% of the area below and 5.5% of the area above. Both conditions are equivalent.
Let's use the condition , the best way to solve this problem is using the z score with the following formula:
So we need a value from the normal standard distribution that accumulates 0.945 of the area on the left and 0.055 on the right. This value on this case is 1.598 and we can founded with the following code in excel:
"=NORM.INV(0.945,0,1)"
If we apply the z score formula to our case we have this:
So then based on the equalities we have this:
And if we solve for a we got:
So then we need a score of 84.186 rounded to the nearest whole number 75 or higher in order to get an A
Answer:
f(x) = 3 if x ≤ -2
= 1 if x > -2 ⇒ attached figure
Step-by-step explanation:
* Lets explain how to answer the question
- For the part of the graph on the left side (2nd quadrant)
- There is a horizontal line start from x = -∞ and stop at x = -2
- The end of the line is black dot means x = -2 belongs to the function
- The horizontal line drawn at y = 3
∴ The equation of the horizontal line is y = 3
∴ The function represents this part of graph is y = 3 if x ≤ -2
- The other part of the graph is also horizontal line start from
x = -2 to x = ∞
- The end of the line is white dot means x = -2 does not belong
to the function
- The horizontal line drawn at y = 1
∴ The equation of the horizontal line is y = 1
∴ The function represents this part of graph is y = 1 if x > -2
* f(x) = 3 if x ≤ -2
= 1 if x > -2
- The answer is attached
Answer:
Percent of error of Logan's Estimate is 12.5%
Step-by-step explanation:
Given:
Actual Volume of sample =48 mL
Estimated Volume of sample = 42 mL
We need to find the percent errors of Logan estimate.
To calculate percent of error below are the steps.
Step 1: Subtract the Actual value from the estimated value.
Step 2: Take the absolute value of step 1
Step 3: Divide that answer by the Actual value.
Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.
Now Substituting the values we get;
Step 1: To Subtract Actual Volume with Estimated Volume
Estimated Volume of sample - Actual Volume of sample = 42 - 48 = -6 mL
Step 2: Find Absolute value we get;
Step 3 : Divide that answer by the Actual volume.
Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.
Hence Percent of error of Logan's Estimate is 12.5%