If A =(-1,-3) and B = (11,-8), what is the length of AB?
1 answer:
You might be interested in
Answer:
The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
.
Which interval describes how long it takes for passengers to board the middle 95% of the time?
This is between the 2.5th percentile and the 97.5th percentile.
So this interval is the value of X when Z has a a pvalue of 0.025 and the value of X when Z has a pvalue of 0.975
Lower Limit
Z has a pvalue of 0.025 when . So
Upper Limit
Z has a pvalue of 0.975 when . So
The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.
Answer:
The price of the television before taxes is $420
Step-by-step explanation:
* Lets explain how to solve the problem
- The purchased price = cost price + taxes
- A new television set was recently purchased for the common room
in a residence hall for $436.80
- This price including tax
- The tax rate is 4%
- We need to find the price of the television before taxes
* <em>Lets solve the problem</em>
- Assume that the price of the television before tax is 100%
∵ The tax rate is 4%
∵ The price after tax = price before tax + tax
∵ The price before tax = 100%
∴ The price after tax = 100% + 4% = 104%
∵ 104% equivalent to $436.80
∴ 100 ⇒ ?
104 ⇒ 436.80
- <em>By using cross multiplication</em>
∴ ? =
∴ The price of the television before taxes is $420
A heptagon has seven sides. The measure of the final interior angle of the heptagon is 124°.
<h3>What is heptagon?</h3>A heptagon, sometimes known as a septagon, is a seven-sided polygon. The heptagon is also known as the septagon, which combines the prefix "sept-" with the Greek suffix "-agon," which means "angle."
A heptagon has 7 sides therefore, the sum of the interior angle of the heptagon can be written as,
As it is said in the problem that the sum of the all the angles of the heptagon except one is 776°, therefore, the measure of the last angle of the heptagon is,
The measure of the last angle = 900° - 776° = 124°
Hence, the measure of the final interior angle of the heptagon is 124°.
Learn more about Heptagon: