Answer:
because its 5 units to the left on a horizontal number line
A) y = -3000x + 25635
B) m = -3000. The slope represents the rate the Toyota 4Runner depreciates each year.
b = 25,635. The y-intercept represents the cost of the SUV before any depreciation occurred (the starting amount).
Assuming is a non-negative real number...
Raise both sides to the power 2 :
which follows from the exponent product property, . In particular, 3/4 × 2 = 6/4 = 3/2.
Raise both sides to the power 1/3 :
where we use the same property as before, and 4³ = 64. This time, 3/2 × 1/3 = 3/6 = 1/2.
Take the reciprocal of both sides. This negates the exponent, so we end up with
Of course, you could also solve for immediately by raising both sides of the original equation to the power 4/3. We have 4/3 × 3/4 = 12/12 = 1, so
Now 2³ = 8, so , and since 4² = 16, it follows that
This answer did not come from me but credit to ApusApus
We have been given that adult male heights are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. The average basketball player is 79 inches tall.
We need to find the area of normal curve above the raw score 79.
First of all let us find the z-score corresponding to our given raw score.
, where,
,
,
,
.
Upon substituting our given values in z-score formula we will get,
Now we will find the P(z>3) using formula:
Using normal distribution table we will get,
Let us convert our answer into percentage by multiplying 0.00135 by 100.
Therefore, approximately 0.135% of the adult male population is taller than the average basketball player and option A is the correct choice.