Answer:
B = 53.13
Step-by-step explanation:
Since this is a right triangle, we can use the tan function
tan B = opposite side/ adjacent side
tan B = 4/3
Take the inverse tan of each side
tan ^-1 (tan B) = tan^-1 (4/3)
B = 53.13010235
To the nearest hundredth
B = 53.13
Answer:
The answer is 40%
Step-by-step explanation:
Turn it into a fraction 8/20 then you can lower it to 2/5 because four goes into eight twice and into twenty five times. Once you have done that it is easy to figure out that 2/5 is 40%
Answer:
The probability of observing between 43 and 64 successes=0.93132
Step-by-step explanation:
We are given that
n=100
p=0.50
We have to find the probability of observing between 43 and 64 successes.
Let X be the random variable which represent the success of population.
It follows binomial distribution .
Therefore,
Mean,
Standard deviation , 
![\sigma=\sqrt{100\times 0.50(1-0.50)]](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B100%5Ctimes%200.50%281-0.50%29%5D)
Now,
Hence, the probability of observing between 43 and 64 successes=0.93132
By the Pythagorean theorem,
.. x^2 +(x -46)^2 = (x +4)^2
.. 2x^2 -92x +2116 = x^2 +8x +16
.. x^2 -100x +2100 = 0
.. (x -50)^2 -400 = 0
.. x = 50 ±20 . . . . . only x=70 makes any sense in the problem
The height, x, of the tree is 70 meters.
Answer:
the 1st graph that has a point of (4,5)
