Answer:
2x = y
Step-by-step explanation:
As you can see in the table, y = 2x, this is proven by the fact that if you divide any value in the y of the table by 2 you will get its corresponding x value, proving that 2x = y is the function that is used to represent this table's value.
Answer:
70°
found by considering A-frame ladder as a triangle
Step-by-step explanation:
Given that,
angle form on either side of A-frame ladder with the ground = 125°(exterior)
As it is a A-frame ladder so its a triangle, we will find the angle at the top of ladder by using different properties of triangle
1) find interior angle form by A-frame ladder with the ground
125 + x = 180 sum of angles on a straight line
x = 180 - 125
x = 55°
2) find the angle on top of ladder
55 + 55 + y = 180 sum of angle of a triangle
110 + y = 180
y = 180 - 110
y = 70°
Answer:
30 tiles
Step-by-step explanation:
SO we need to find the area of the wall so we do
8 feet * 5 feet = 40 feet squared
then we find that area in inches
40*12=480
Now we find the area of the tiles
4*4=16
So now we divide to find how many tiles are needed
480/16=30
Our answer is 30
Answer:
a) 
With:


b) 

c) 

d) 


Step-by-step explanation:
For this case we know the following propoertis for the random variable X

We select a sample size of n = 81
Part a
Since the sample size is large enough we can use the central limit distribution and the distribution for the sampel mean on this case would be:

With:


Part b
We want this probability:

We can use the z score formula given by:

And if we find the z score for 89 we got:


Part c

We can use the z score formula given by:

And if we find the z score for 75.65 we got:


Part d
We want this probability:

We find the z scores:


