Answer:
choice a.) 4.67
Step-by-step explanation:
Using the Z-score table.
We have:
mean u = 40
standard deviation s = 3
for X = 54
Use formula for Z-score: Z = (X -u)/s
Z-score = Z = (X - u)/s = (54 - 40)/3 = 14/3 = 4.6667
P(Z > 4.6667) = 0.000003 very close to 0
967.61 inches is the correct answer
<span>
<span>
</span><span><span>
Tour
Price
# of Customers
Tour Income
Operating Cost Profit or Loss
</span>
<span>
100
40 4000
6000
-2000
</span>
<span>
150 35 5250
6000
-750
</span>
<span>
200 30
6000
6000
0
</span>
<span>
250 25 6250 6000
250
</span>
<span>
300 20 6000 6000
0
</span>
<span>
350
15 5250 6000
-750
</span>
<span>
400 10 4000 6000
-2000
</span>
<span>
450 5
2250
6000
-3750
</span>
<span>
500
0 0
6000 -6000
The company should offer the tour price of 250 to earn a profit. any price less or more than 250 will either give them 0 profit or a loss.
</span></span></span>
The first thing we are going to do for this case is to rewrite the function.
We have then:
y = 3 ^ (2x)
We evaluate the points:
For (1,9):
y = 3 ^ (2 * 1)
y = 3 ^ (2)
y = 9
The point belongs to the function.
For (1/2, 3):
y = 3 ^ (2 * (1/2))
y = 3 ^ (1)
y = 3
The point belongs to the function.
For (-1, -9):
y = 3 ^ (2 * (- 1))
y = 3 ^ (- 2)
y = 1/9
The point does NOT belong to the function.
Answer:
The point (-1, -9) DOES NOT belong to the function.