Answer:
Standard score z=0.07
Step-by-step explanation:
The z-score, or standard score, represents an equivalent value for X but in the standard normal distribution, where μ=0 and σ=1.
For X=28.3 in a normal distribution with μ=26.3 and σ=28.1, the standard score can be calculated as:
This value is 0.07 standard deviations right to the mean.
In the picture attached, we have located the z-score.
(please open my photo for reference as you read, I am a visual learner/explainer so it will make the most sense that way)
So the first thing you want to do is look at the exterior angle 130°. A straight line is 180°, and every Triangle's angular sum is 180°. How I think of it is that every straight line has a mini protractor on either side. It makes it a bit easier to understand.
180 - 130 = 50
You now know that two of the angles are 50°.
You now have two of the measurements for the triangle farthest to the left.
75° and 50°
75 + 50 = 125
180 - 125 = 55
a = 55°
Now that you have all the measurements for the first triangle, let's move onto the next one.
With two measurements for the second triangle, all you need to do is find their sum and subtract that from 180 and you will have the third measurement!
50 + 60 = 110
180 - 110 = 70
b = 70°
Finally, for the last triangle, you already have two of the measurements 60° and 85°.
85 + 60 = 145
180 - 145 = 35
c = 35°
Sorry if this explanation is a bit messy, it's hard to describe certain things without a letter or some kind of name to differentiate between them verbally.
I hope this helps! <3
Answer: x = 15
Step-by-step explanation:
First, we will have to acknowledge that Angle M is a complementary angle (that means that it is 90 degrees) meaning that 2x° + 4x° will equal 90 degrees. So, let’s set up this equation.
90 = 2x + 4x
90 = 6x
=
15 = x
Therefore, the x is 15.
9514 1404 393
Answer:
27
Step-by-step explanation:
For point (x, y) and slope m, the y-intercept can be found from the equation ...
b = y -mx
b = 0 -(-3)(9) = 27
The y-intercept is +27. The corresponding ordered pair is (0, 27).
