Answer:
169 = the cost of one ticket.
Step-by-step explanation:
17$ per ticket
5 people
total cost 930
17*5=85 // 930-85=845 // 845/5= 169
therefore each ticket costed 169 dollars with the addition of the insurance, they costed 186$
Answer:
30
Step-by-step explanation:
Given :
Mean, m = 30 metric tons
Standard deviation (s) = 1.5 metric ton
Sample size, n = 4
Since the impact force in the test model is normally distributed, the shape of the sampling distribution will also be approximately normal with a mean equal to the mean of the test model.
Hence, the sample mean impact force will be equal to the population mean.
Therefore, sample mean = 30 ; population mean = 30
Answer:
This proof can be done by contradiction.
Let us assume that 2 - √2 is rational number.
So, by the definition of rational number, we can write it as
![2 -\sqrt{2} = \dfrac{a}{b}](https://tex.z-dn.net/?f=2%20-%5Csqrt%7B2%7D%20%3D%20%5Cdfrac%7Ba%7D%7Bb%7D)
where a & b are any integer.
⇒ ![\sqrt{2} = 2 - \dfrac{a}{b}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D%20%3D%202%20-%20%5Cdfrac%7Ba%7D%7Bb%7D)
Since, a and b are integers
is also rational.
and therefore √2 is rational number.
This contradicts the fact that √2 is irrational number.
Hence our assumption that 2 - √2 is rational number is false.
Therefore, 2 - √2 is irrational number.
Answer:
The correct option is D) (5x − 2)(2x − 3).
Step-by-step explanation:
Consider the provided expression.
![10x^2-19x+6](https://tex.z-dn.net/?f=10x%5E2-19x%2B6)
Where x is time in minutes.
We need to find the appropriate form of the expression that would reveal the time in minutes when the trough is empty.
When the trough is empty the whole expression becomes equal to 0.
Substitute the whole expression equal to 0 and solve for x that will gives us the required expression.
![10x^2-19x+6=0](https://tex.z-dn.net/?f=10x%5E2-19x%2B6%3D0)
![10x^2-15x-4x+6=0](https://tex.z-dn.net/?f=10x%5E2-15x-4x%2B6%3D0)
![5x(2x-3)-2(2x-3)=0](https://tex.z-dn.net/?f=5x%282x-3%29-2%282x-3%29%3D0)
![(5x-2)(2x-3)=0](https://tex.z-dn.net/?f=%285x-2%29%282x-3%29%3D0)
Now consider the provided option.
By comparison the required expression is D) (5x − 2)(2x − 3).
Hence, the correct option is D) (5x − 2)(2x − 3).