Name a career in which one would have to use the phythagorean theorem.Give an example of when and how it would be used.Please wr
1 answer:
Answer:
The careers that use Pythagoras theorem are mentioned below.
Step-by-step explanation:
The Pythagoras theorem states that the sum of squares of the two sides of right angled triangle is equal to the square of the length of the hypotenuse.
Let a, b and c be the sides of a right triangle where c is the length of the hypotenuse.Then
Pythagoras theorem is used in daily life situations.
A surveyor looks through a telescope toward a measuring stick a fixed distance away, so that the telescope's line of sight and the measuring stick form a right angle.
It is also used to calculate the steepness of slopes and mountains.
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Answer:
And if we solve for a we got
Step-by-step explanation:
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".
Solution to the problem
Let X the random variable that represent the hourly rates of a population, and for this case we know the distribution for X is given by:
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.80 of the area on the left and 0.20 of the area on the right it's z=0.842. On this case P(Z<0.842)=0.8 and P(z>0.842)=0.20
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
Answer:
Amount of VAT paid by Jeremy is € 9.31 .
Step-by-step explanation:
As given
In Germany, VAT is at 19% .
Jeremy buys a calculator in Germany for €58.31
This price includes VAT.
Let us assume that the cost of calculator excluding tax is x .
19% is written in the decimal form .
= 0.19
VAT Price = 0.19 × Cost price of calculator excluding VAT
= 0.19 × x
= 0.19x
Than
Cost of calaculator + VAT price = Cost of calculator including VAT
x + 0.19 × x = 58.31
x + 0.19x = 58.31
1.19x = 58.31
x = €49 (Approx)
Thus cost price of calculator excluding VAT is €49 .
VAT Price = 0.19 × Cost price of calculator excluding VAT
= 0.19 × 49
= € 9.31
Therefore the amount of VAT paid by Jeremy is € 9.31 .