-9y=-3x+216
y=1/3x-24
m=-3
y=-3x+16 is perpendicular to the line
Answer:
Step-by-step explanation:
slope, m = 0.1m/4m = 0.025
Theoretical effort (ignoring friction) = 9000N * 0.025 = 225 N
actual effort = 300 N
efficiency
= potential energy out / actual energy in
= 225 N / 300 N = 0.75
Answer:
sinθ = 
Step-by-step explanation:
sinθ =
=
= 
Answer: $ 990
Step-by-step explanation:
Since, the total number players, n = 12,
The least amount got by one team, a= $ 220
Let there is a successive difference of d,
Thus, the given situation forms an AP,
In which sum of the AP, ![S_n= \frac{12}{2}[2\times 220 + (12-1)d]](https://tex.z-dn.net/?f=S_n%3D%20%5Cfrac%7B12%7D%7B2%7D%5B2%5Ctimes%20220%20%2B%20%2812-1%29d%5D)
But, According to the question,

⇒ ![\frac{12}{2}[2\times 220 + (12-1)d]=7260](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B2%7D%5B2%5Ctimes%20220%20%2B%20%2812-1%29d%5D%3D7260)
![6[440 + (11)d]=7260](https://tex.z-dn.net/?f=6%5B440%20%2B%20%2811%29d%5D%3D7260)



Thus, the successive difference, d = $ 70
⇒ The amount of first price,

Answer:
And we can find this probability with the following difference:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
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 variable of interest of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the following difference:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.