Answer:
1 & 2 perpudicular
1 & 3 neither
2 & 3 is parallel
Step-by-step explanation:
Answer:
The answer is 76.9 rounded or rounds.
Step-by-step explanation:
Solution
Given that:
Mean = μ = 72.5
Standard deviation = σ = 6.5
Now
By applying the standard normal table we have the following:
P(Z < z) = 75%
= P(Z < z)
= 0.75
Thus
z =0.67 by using the standard normal z table
Applying the z-score formula we have:
x = z * σ + μ
x = 0.67*6.5+72.5
x= 76.855 ≈ 76.9
Therefore the cutoff time is 76.9 rounds.
Answer:
false
Step-by-step explanation:
Answer:
-62
Step-by-step explanation:
y³ – 2y (y – 5) + 13
when y = -3
y³ – 2y (y – 5) + 13
=(-3)³ – 2(-3) [ (-3) – 5] + 13 (by PEDMAS, evaluate parentheses first)
=(-27) + (6) (-8) + 13 (next do multiplication)
=(-27) + (-48) + 13
= -27 - 48 + 13
= -62
Given:
The cost function C(t) = 45t + 95 where t is the number of hours purchased
To Find:
The amount of money a customer pays more for using the service for 5 hours than for 3 hours
Solution:
A customer has to pay $90 more to use the service for 5 hours than for 3 hours.
Calculation:
First, we find the cost of using the service for 3 hours, i.e., at t=3. We do this by substituting t=3 in the cost function C(t) = 45t + 95
C(t) = 45(3) + 95 = 230
Thus the cost for using the service for 3 hours is $230.
Next, we find the cost of using the service for 5 hours, i.e., at t=5. We do this by substituting t=5 in the cost function C(t) = 45t + 95
C(t) = 45(5) + 95 = 320
Thus the cost for using the service for 5 hours is $320.
The difference in the two prices is $(320-230) = $90
So, a customer has to pay $90 more to use the service for 5 hours than for 3 hours.
