Answer: 8 feet, D
Step-by-step explanation:
To solve this, use the Pythagorean Theorem. It states:
where A and B are the sides of a triangle and C is the triangle's hypotenuse.
The 17 foot ladder in this situation is your hypotenuse, and you have one side of the triangle: 15.
15 squared = 225
17 squared = 289
solving for b squared, we get
taking the square root of 64, you get 8 feet, the distance between the house and the base of the ladder.
Answer:
And for this case we know this condition:
By the complement rule we know that:
But since the distribution is symmetrical we know that:
So then the statement for this case is FALSE.
b. False
Step-by-step explanation:
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".
Solution to the problem
For this case if we define the random variable of interest X and we know that this random variable follows a normal distribution:
And for this case we know this condition:
By the complement rule we know that:
But since the distribution is symmetrical we know that:
So then the statement for this case is FALSE.
b. False