The 2 marked angles are alternate angles and so they are equal.
Therefore:- 3x + 5 = 65
3x = 60
x = 20 (answer)
The slope-intercept form<span> is simply the way of writing the equation of a line so that the </span>slope<span> </span><span>Often, this </span>form<span> is called y = mx + b
</span>form<span>.</span>
Answer:
The first one isnt equivalent
Step-by-step explanation:
Answer:
X = 262 days
Step-by-step explanation:
For Normal Distribution N( 0,1) we have z table and we can find z score for value of 15 % or 0,15. As 0,15 is not in the table we extrapolate then
0,1492 ⇒ 1,4
0,1515 ⇒ 1,3 0,15 ⇒ x 0,1515 - 0,15 = 0,0015
Δ = 0,0023 ⇒ 0,1
By rule of three
If 0,0023 ⇒ 0,1
0,0015 ⇒ x
x = 0,0652
Therefore the value between 1,3 and 1,4 is:
1,4 - 0,0652
z (score ) = 1,3348 and as we are looking for values below the mean ( that is at the left of the bell shape curve we need to change the value to a negative one z = - 1,3348
Now when N ( 278 , 12 ) is normalized to N ( 0 , 1)
z( score ) = ( X - μ ) / σ
- 1,3348 * 12 = X - 278
X = 278 - 16,0176
X = 278 - 16
X = 262 days
Answer:
75 cm
Step-by-step explanation:
To find the area of a traingle you use the following equation
b*h*.5
We know that the height of the triange is three times the base and that the area is 937.5
This means that
b*3b*.5=937.5
We can combine this and get 1.5b^2=937.5
We can then divide by 1.5 to get b by itself
b^2=625
Then take the square root for our answer and get b=25 (while be also can be -25 it doesn't make sense to have a negative answer in the context of this problem)
So we know that b=25 and that h=3b which means that the height is 75 cm