The formula for a falling object is
v = u +gt
where
u = initial velocity (=0 for a falling object)
g = acceleration due to gravity, 32.2 ft/s²
t = time, s
In terms of distance fallen,
v² = u² + 2gh
where h = distance fallen, ft.
Because h = 23 ft and u = 0, therefore
v² = 2*32.2*23 = 1481.2
v = 38.486 ft/s
Answer: 28.49 ft/s (nearest hundredth)
Answer:
a. 0.71
b. 0.9863
Step-by-step explanation:
a. The mean of the distribution is given as $403,000 and the standard deviation is $278,000.
-To estimate the probability that a randomly selected house has a value less than $500,000:
Thus, the probability that a randomly selected house has a value less than $500,000 is 0.71
b. -since 40 is larger than or equal to 30, we assume normal distribution.
-The probability can therefore be calculated as:
Hence, the probability that the mean value of the 40 houses is less than $500,000 is 0.9863
Answer:
x = -45
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Multiply 5 to both sides:
(x/5) * 5 = (-9) * 5
x = -9 * 5
x = -45
x = -45 is your answer.
~
Answer:
This is a problem with translations in the x-axis.
if we have a real positive number a, then for a function f(x), the graph of the function f(x - a) will be the graph of f(x) but translated by a units to the right.
then, if we have f(x - 2) we translate the graph 2 units to the right, if we have f(x + 4) we translate the graph by 4 units to the left.
Then the order, from left to right, is:
f(x + 3)
f(x +2)
f(x)
f(x - 1/2)
f(x - 4)
f(x - 7)
-4x +4 = -3x + 31
4 - 31 = -3x + 4x
-27 = x
