Using the Pythagorean theorem:
a^2 + b^2 = c^2
A and B are the sides and c is the hypotenuse.
4^2 + 5^2 = c^2
Simplify:
16+25 = c^2
41 = c^2
Take the square root of both sides:
c=√41
Answer:
The histogram of the sample incomes will follow the normal curve.
Step-by-step explanation:
According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.
In this case the researches wants to determine the monthly gross incomes of drivers for a ride sharing company.
He selects a sample of <em>n</em> = 200 drivers and ask them their monthly salary.
As the sample selected is quite large, i.e. <em>n</em> = 200 > 30, the central limit theorem can be applied to approximate the sampling distribution of sample mean by the Normal distribution.
Thus, the histogram of the sample incomes will follow the normal curve.
Okay we know that tangent-chords creat 90 degree angles so what we have is a right triangle with a base of 9 and a height of 12, so do Pythoagoreas Theorem and we have 81+144=225 square root of 225 is 15 and that is AJ
We are given: Degrees Celsius and degrees Fahrenheit are related by formula
To find : Solve formula for F in terms of C.
Solution: We have ,
First we need to get rid 9 from right denominator.
In order to get rid 9 from right denominator, we need to multiply equation both sides by 9.
9C = 5 (F-32).
Distributing 5 on right side over (F-32), we get 5*F - 5*32 = 5F - 160.
9C = 5F - 160.
Adding 160 on both sides,
9C+160 = 5F - 160+160.
9C+160 =5F
Dividing both sides by 5, we get
(9C+160)/5 =5F/5.
Splitting fraction 1/5, we get
.
If you are talking about $110 being increased by 140% then the answer is $264
