F(x) = x^(1/3)
f(8000) = 8000^(1/3) = 20
f'(x) = 1/3 * x^(-2/3)
f'(x) = 1/(3x^(2/3))
f'(8000) = 1/(3*8000^(2/3)) = 1/(3*400) = 1/1200
Linear approximation for f(x) about x = 8000
L(x) = f(8000) + f'(8000) (x−8000)
L(x) = 20 + 1/1200 (x−8000)
8030^(1/3) ≈ L(8030)
= 20 + 1/1200 (8030−8000)
= 20 + 30/1200
= 20 + 1/40
= 20.025
Answer:
y=2x+4
y=-1/2x+4
linear quations
both have the same y intercept (=4).
y=2x+4 is positive straight line, slope = 2
y=-1/2x+4 is negative straight line, slope=-1/2
Step-by-step explanation:
Answer:
Result is significant ; hence we can conclude that the average age of male is greater than that of females.
Step-by-step explanation:
Given that:
Let :
u1 = mean age of male
u2 = mean age of female
Null hypothesis : H0 : u1 = u2
Alternative hypothesis : H1 : u1 > u2
P value for hypothesis test conducted = 0.0095
Using a significant level α 0.05 or 0.01, :
The P value < α
Since, the P-value is less than α, then the result is significant and we thus we can reject the Null and conclude that the average age of males is greater Than that of females that play on the golf course.
Answer:
20% of players are left-handed
Step-by-step explanation:
First, find how much each player is worth percent-wise
100 / 80 = 1.25
Then find out how much percent of players that makes up
1.25 x 16 = 20
The answer is 20% of players are left-handed, to check it you could do
80 * 0.2 = 16
<em>(80 = total players, 0.2 = 20%, 16 = total left handed players)</em>
Answer:x2 + 20 = 2x, = 20
Step-by-step explanation: