Answer:
The inverse is
f^-1(x) = (1/√2)x^¼
And it is a function
Step-by-step explanation:
Given f(x) = 4x^4
Let y = f(x), so that
y = 4x^4
Then dividing both sides by 4
x^4 = y/4
Taking the fourth root of both sides
x = (y/4)^¼
x = (1/√2)y^¼ = f^-1(y)
Put y = x
y = (1/√2)x^¼ = f^-1(x)
This is the inverse.
f^-1(x) is a function.
Answer:
105.5 ft
Step-by-step explanation:
The tangent ratio is the ratio of the side opposite an angle to the adjacent side in a right triangle. Here, the side opposite the angle is the tower height, and the adjacent side is the distance to the tower. Then the appropriate relationship is ...
tan(38°) = (tower height)/(135 ft)
Multiplying by the denominator gives ...
tower height = (135 ft)·tan(38°) ≈ 105.473 ft
The height of the tower is about 105.5 feet.
<span> we know that the 90 percentile in Z-score is ≈ 1.28 then,
=136 ± 1.28(13.8)
=(118.336 , 153.664)
</span>hope it helps
Answer:B. Her mean, median and mode are equal.
Step-by-step explanation:
Mean = (sum of the outcomes)/(total number of outcomes)
Total number of rounds played is 7
The scores for the 7 rounds played are - 6, - 4, - 1 , +3 , - 2, -1, +4
Sum of the scores = - 6 - 4 - 1 + 3 - 2 -1 + 4 = -7
Mean = - 7/7 = - 1
The mode is the most occurring score. Looking at the scores, - 1 occurred twice, so the mode is - 1
The median is the middle score. We would determine it by rearranging the scores in increasing or decreasing order. It becomes
- 6, - 4, - 2, -1, -1, +3, +4
The median is -1
The true statement is
B. Her mean, median and mode are equal.
William can pack 15 toys per hour
