Answer:
Step-by-step explanation:
(-2,1)=(x1,y1)
(4,5)=(x2,y2)
d=?
d=
Stephanie is trying to hang holiday lights in her house. She places a 12-foot ladder against the house. The top of the ladder to
2 answers:
Answer:
8 ft
Step-by-step explanation:
Okay lets get our variables and notes down first, I'll use the most common terms for this.
Hypotenuse: 12 ft <-- The ladder is the hypotenuse
Leg: 9 <- The height of the top of the ladder on the house
Base: ? <- We need to solve for it.
Pythagorean Theorem says c²-a²=b²
c = Hypotenuse
a & b are both Legs and interchangeable
12²-9²=b²
144-81=b²
63=b²
=
=b which is approximately 7.93 which rounds up to 8
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Answer:
0.1587
Step-by-step explanation:
Let X be the commuting time for the student. We know that . Then, the normal probability density function for the random variable X is given by
. We are seeking the probability P(X>35) because the student leaves home at 8:25 A.M., we want to know the probability that the student will arrive at the college campus later than 9 A.M. and between 8:25 A.M. and 9 A.M. there are 35 minutes of difference. So,
= 0.1587
To find this probability you can use either a table from a book or a programming language. We have used the R statistical programming language an the instruction pnorm(35, mean = 30, sd = 5, lower.tail = F)