Since (4y-42) and 2y are opposite angles, they equal to each other which looks like this:
4y-42 = 2y
From there you want to put the y onto one side:
4y-2y-42=0 -----> 2y-42=0
You want to balance the equation out and move the -42 onto the other side so you add it to both sides to get:
2y=42
Then divide both sides by 2 to get:
y= 21
From there you can plug 21 back into the original equation to find each angle.
4(21)-42 = 2(21) ---> 84-42 = 42 ---> 42 = 42
So y = 21 and each angle is 42 degrees
Answer:
Mathematics uses numbers and data to find ways to describe relationships, importance, value, dependency/independency of variables, and many other things. These computations and concepts are essential to the world because of our human need to make comparisons and place value on things.
Step-by-step explanation:
Answer:

Step-by-step explanation:
The quadratic formula:

So, we need to move all the terms to one side of the equation, which now becomes

Plugging in the numbers and you'll get the two roots/
Lets draw our triangle:
Lets use the "Law of Sines" to find our side r:

So r=18
the probability that the sample mean will be smaller than m = 22 is 0.02275.
For the given question,
A z-score measures exactly how many standard deviations a data point is above or below the mean. It allows us to calculate the probability of a score occurring within our normal distribution and enables us to compare two scores that are from different normal distributions.
Here sample size, n = 4
mean, μ = 30
standard deviation, σ = 8
The probability that the sample mean will be smaller than m = 22 is
z = 
⇒ z =
⇒ z = 
⇒ z = 
⇒ z = -2
Refer the Z table for p value,
Thus for P(z < -2) is 0.02275.
Hence we can conclude that the probability that the sample mean will be smaller than m = 22 is 0.02275.
Learn more about probability of the sample mean here
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