Step-by-step explanation:
(a) Sum is -4
4 + (-8)
4 - 8
-4
(b) Sum is 0
1 + (-1)
1 - 1
0
(c) Difference is 2
10 - 8
2
(d) Difference is -6
10 - 16
-6
Answer:
C
Step-by-step explanation:
When the value of something decreases by a certain factor every unit of time, instead of by a set constant, then this is called exponential decay. When the rate is constant, this is called linear decay. Hope this helps!
Better to write that as:
-1
cos [ sqrt(3) / 2 ]
since the cosine is defined as "adjacent side over hypotenuse," we know that the adj. side is sqrt(3) and that the hyp is 2. The primary solution will be in Quadrant I because the adj. side is positive.
Think: which angle in Q I has adj. side equal to sqrt(3) and hyp equal to 2?
That'd be 30 degrees. Unfortunately, that's not one of your answer choices. Thus, reflect that angle in the positive x-axis; you'll end up with a ray whose positive angle is 330 degrees.
I'd suggest you ensure that you've copied this problem down correctly.
sqrt(3)
Did you mean sqrt(3/2) or did you mean ---------- ??
2
Answer:
A) 1
B) 1
C) 0
Step-by-step explanation:
The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.2 minutes and standard deviation 1.5 minutes. Suppose that a random sample of n = 49 customers is observed. Find the probability that the average time waiting in line for these customers is A) Less than 10 minutes B) Between 5 and 10 minutes C) Less than 6 minutes
We solve this question using the z score formula
z = (x-μ)/σ/√n, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
n = number of random samples
A) Less than 10 minutes
x < 10
z = 10 - 8.2/ 1.5 / √49
z = 8.4
P-value from Z-Table:
P(x<10) = 1
B) Between 5 and 10 minutes
For x = 5 minutes
z = 5 - 8.2/ 1.5 / √49
z = -14.93333
P-value from Z-Table:
P(x = 5) = 0
For x = 10 minutes
z = 10 - 8.2/ 1.5 / √49
z = 8.4
P-value from Z-Table:
P(x = 10) = 1
The probability that the average time waiting in line for these customers is between 5 and 10 minutes
P(x = 10) - P(x = 5)
= 1 - 0
= 1
C) Less than 6 minutes
x < 6
z = 6 - 8.2/ 1.5 / √49
z = -10.26667
P-value from Z-Table:
P(x<6) = 0
Answer:
Step-by-step explanation:
-4x + y
Plug in your values for x and y
-4 (5/4) + (1/5)
-20/4 + 1/5
-5 + 1/5
= - 4 4/5
