Answer:
717,051
seven hundred seventeen thousand, fifty-one
Step-by-step explanation:
Answer:
You got it right.
Step-by-step explanation:
Answer:
3x +4
Step-by-step explanation:
4 more= 4+
the product of 3 and x = 3 times x
=
4+ 3x
Answer:
Where
and
Then we have:
With the following parameters:
![\mu_{\bar X}= 3.6](https://tex.z-dn.net/?f=%5Cmu_%7B%5Cbar%20X%7D%3D%203.6)
![\sigma_{\bar X} = \frac{5}{\sqrt{100}}= 0.5](https://tex.z-dn.net/?f=%5Csigma_%7B%5Cbar%20X%7D%20%3D%20%5Cfrac%7B5%7D%7B%5Csqrt%7B100%7D%7D%3D%200.5)
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 number of cars running a red light of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then we know that the distribution for the sample mean
is given by:
With the following parameters:
![\mu_{\bar X}= 3.6](https://tex.z-dn.net/?f=%5Cmu_%7B%5Cbar%20X%7D%3D%203.6)
![\sigma_{\bar X} = \frac{5}{\sqrt{100}}= 0.5](https://tex.z-dn.net/?f=%5Csigma_%7B%5Cbar%20X%7D%20%3D%20%5Cfrac%7B5%7D%7B%5Csqrt%7B100%7D%7D%3D%200.5)
Cos 52 = 0.6157
sin 42 = cos 48 = 2/3 (because 42 + 38 = 90 - complementary angles)
if tan 20,5 = 3/8 then tan 69.5 wil = 1 / 3/8 = 8/3