Answer:
Step-by-step explanation:
Hi there! First thing I want to say is that I will have a photo attached to this problem. If you don't see it or need any more clear explanation, please don't hesitate to reach out! Anyways, I will go step by step for this problem and also include a definition.
Okay, what we have here is a right triangle, which has a 90 degree angle. And we have two sides and want to find the other side. With this problem, we will use the pythagorean theorem. The pythagorean theorem is an equation or formula that helps someone to find a side of a 90 degree right triangle, when two sides are presented.
Formula: a² + b² = c²
a would be the height of the triangle, b would be the length, and c is the hypotenuse of the triangle.
What we have so far is b and c. b is 3 and c is 5. So with that in mind we will replace b and c with the numbers we are given. And then solve from there...
a² + b² = c²
a² + 3² = 5²
a² + 9 = 25
<u> -9 -9</u>
a² = 16
= 
a = 4
There you go! And you can always go back and check your answer! I hope this helped, if not please ask and don't be afraid! And I again have attached a picture of the work! Have a great day!
Answer: 1
Step-by-step explanation:
You would use the slope formula which is (y2-y1)/(x2-x1) where x1 and y1 correspond to the first point and x2 and y2 correspond to the second point. This would be (5-2)/(9-6) which equals 1. Hope this helps!
Answer:
The answer is
Step-by-step explanation:
The distance between two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
J( – 8,0) and K(1, 4)
The distance between them is
We have the final answer as
Hope this helps you
Psychology
<span>z =(48-87)/14 </span>
<span>z = -2.796 </span>
<span>Economics </span>
<span>z =(52-53)/8 </span>
<span>z = -0.125 </span>
<span>The score of Economics is better.</span>
Answer:
And the value for n rounded up would be n = 174
Step-by-step explanation:
We have the following info given:
previous estimation for the deviation
the margin of error desired
represent the confidence
The Margin of error is given by:
If we solve for the value of n we got:
For this problem we know that the confidence is 98% so then the significance level would be 
and the critical value would be:
And replacing we got:
And the value for n rounded up would be n = 174
