Answer:
x > -1
Step-by-step explanation:
-3x + 15 < 18
Subtract 15 from each side
-3x + 15-15 < 18-15
-3x < 3
Divide each side by -3, remembering to flip the inequality
-3x/-3 > 3/-3
x > -1
In order to figure out the horizontal distance Raymond travels using his zip cable, we may simply apply Pythagoras theorem which is, for a right triangle:
hypotenuse² = base² + height²
base = √(hypotenuse² - height²)
base = √(65² - 52²)
base = 39 yards
Raymond will travel a horizontal distance of 39 yards.
Answer:
Step-by-step explanation:
Let and be independent random variables representing the lifetime (in 100 hours) of Type A and Type B light bulbs, respectively. Both variables have exponential distributions, and the mean of X is 2 and the mean of Y is 3.
Answer:
Part 1) 
Part 2) 
Part 3) 
part 4) 
Part 5) 
Step-by-step explanation:
we know that
In a rectangle opposite sides are parallel and congruent
The measure of each interior angle is 90 degrees
The diagonals are congruent and bisect each other
step 1
Find the length of side PR
we know that
----> by opposite sides
we have

therefore

step 2
Find the length of side PQ
we know that
----> by opposite sides
we have

therefore

step 3
Find the length of diagonal PS
we know that
---> the diagonals bisect each other
we have
---> given problem
therefore

step 4
Find the length of diagonal QR
we know that
---> the diagonals are congruent
we have

therefore

step 5
Find the length of RT
we know that
---> the diagonals bisect each other
we have

substitute
