The slope of the line that passes through the points (6, w) and (10, 4) is 8. What is the value of w?
2 answers:
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We are to find the probability that the weight of total luggage for a sample of 100 passengers is less than 2100.
The mean weight of the luggage of passengers will be 2100/100 = 21.
So we have to find the probability of the mean weight to be less than 21.
Average weight = u = 19.4
Standard deviation = 5.3
Since we are dealing with a sample of 100. We will use the standard error.
Standard error =
Now we have to convert the weight to z-score
From z table we can find the probability of z being less than 3.018 is 99.87%.
Therefore, the probability that for (a random sample of) 100 passengers, the total luggage weight is less than 2,100 lbs is 99.87%
The mean weight of the luggage of passengers will be 2100/100 = 21.
So we have to find the probability of the mean weight to be less than 21.
Average weight = u = 19.4
Standard deviation = 5.3
Since we are dealing with a sample of 100. We will use the standard error.
Standard error =
Now we have to convert the weight to z-score
From z table we can find the probability of z being less than 3.018 is 99.87%.
Therefore, the probability that for (a random sample of) 100 passengers, the total luggage weight is less than 2,100 lbs is 99.87%
Answer:
"The area of EFGH is always One-half of the area of the rectangle."
Step-by-step explanation:
<em>Graph is attached.</em>
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The kite consists of 2 triangle, EFG and EHG.
The area of EFG:
where h is the height from F to EG
The area of EHG:
where is the height from H to EG
We also know that h + h _1 is the width of the rectangle and EG is the length of the rectangle
Thus,
Area of Kite =
Also, Area of rectangle is rectangle length * rectangle width.
Thus, area of kite is always half of that of rectangle, the third choice is right.
