Given:
The base of 40-foot ladder is 8 feet from the wall.
To find:
How high is the ladder on the wall (round to the nearest foot).
Solution:
Ladder makes a right angle triangle with wall and ground.
We have,
Length of ladder (hypotenuse)= 40 foot
Base = 8 foot
We need to find the perpendicular to get the height of the ladder on the wall.
Let h be the height of the ladder on the wall.
According to the Pythagoras theorem,
Taking square root on both sides.
Height cannot be negative. Round to the nearest foot.
Therefore, the height of the ladder on the wall is 39 foot.
Answer:
Z=-2
This value means that the score of Rachel 550 it's 2 deviations below the mean of the population 
Step-by-step explanation:
1) Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
represent the population mean for the Graduate Record Exam (GRE)
represent the population standard deviation for Graduate Record Exam (GRE)
2) Solution to the problem
Let X the random variable that represent the Graduate Record Exam (GRE) of a population, and for this case we know the distribution for X is given by:
Where and
We want to find the z score for a score of 550. And in order to do this we need to apply the formula for the z score given by:
If we apply this formula to our probability we got this:
So the answer for our case would be Z=-2
This value means that the score of Rachel 550 it's 2 deviations below the mean of the population
Answer:
y=1
x=2/5
Step-by-step explanation:
1=-5x+3
-2=-5x
x=2/5
Answer:
x=28°
y=152°
Step-by-step explanation:
x=28°
y=152°
Answer=C 2 1/2
(12 1/2)÷5=2 1/2
or
12.5/5=2.5=2 1/2
