Answer:
m = -4
b = -12
Step-by-step explanation:
First, identify the slope-intercept form:
y = mx + b
y = -4x - 12
Whereas m = slope and b = y-intercept.
Slope is the steepness of the line.
The y-intercept is where the line intersects the y axis.
Answer:
The Point estimate of the Population proportion E = 0.039≅0.04
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the sample size 'n' = 992
and x = 570
The Population proportion
<u><em>Step(ii):-</em></u>
<u><em>The point estimate of the Population proportion is determined by</em></u>
<u><em></em></u>
<u><em></em></u>
E = 0.039≅0.04
<u><em>Final answer</em></u>:-
The point estimate of the Population proportion E = 0.039≅0.04
<u><em></em></u>
Answer:
The larger acute angle is equal to 50.8 degrees.
Step-by-step explanation:
Let's solve for both of the acute angles for the purpose of checking our work at the end with angle A being the top angle and angle B being the one on the base of the triangle (that's not the 90 degrees one). Determining whether to use sin/cos/tan comes from SOH-CAH-TOA.
A = cos^-1 (2√6/2√15)
However, you need to move the radical out of the denominator by multiplying √15 to the numerator and denominator. You should come up with (2√90)/30. So,
A = cos^-1 (2√90/30) = 50.768 degrees.
B = sin^-1 (2√90/30) = 39.231 degrees.
Now, we can check the work by adding the 2 angles to 90 and, if it comes to 180, it's right.
cos^-1 (2√90/30) + sin^-1 (2√90/30) + 90 = 180.
If you have any questions on where I got a formula or any step, feel free to ask in the comments!
9/16 ways to go...unless the gate is closer you didn't really say where the gate is
