Answer:
cos∠ABC = 12/15 = 0.80
tan∠ABC = 9/12 = 0.75
sin∠ACB = 12/15 = 0.80
cos∠ACB = 9/15 = 0.60
tan∠ACB = 12/9 = 1 1/3
Step-by-step explanation:
Find the Adjacent, Opposite, or Hypotenuse angles to the angles in the picture and fill them into the given fraction.
cos∠ABC = Adjacent/Hypotenuse = 12/15 = 4/5 = 0.80
tan∠ABC = Opposite/Adjacent = 9/12 = 3/4 = 0.75
sin∠ACB = Opposite/Hypotenuse = 12/15 = 4/5 = 0.80
cos∠ACB = Adjacent/Hypotenuse = 9/15 = 3/5 = 0.60
tan∠ACB = Opposite/Adjacent = 12/9 = 1 1/3 (1 1/3 in decimal form is 1.3 with a line on top of 3 (Bar on top of 3))
4(3+14c−12d)
=(4)(3+14c+−12d)
=(4)(3)+(4)(14c)+(4)(−12d)
=12+c−2d
=c−2d+12
It would be A=45, but i don't understand why you have a 3 above your answer
Answer:
And we can find this probability using the complement rule and with excel or the normal standard table:
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 weights 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 using the complement rule and with excel or the normal standard table: