Answer:
b. y = -7x + 4
1. y = -7(-5)+ 4 = 35+4= 39
2. -24= -7x + 4
-28 = -7x
4 = x
3. y = -7(0)+4= 4
4. 0 = -7x+4
-4= -7x
4/7 = x
c. 3y - 5x = 15
1. 3y - 5(6)
3y-30=15
3y=45
y = 15
2. 3(-10)-5x=15
-30-5x=15
-5x = 45
x = -9
3. 3y-5(0)=15
3y=15
y=5
4. 3(0)-5x=15
0-5x=15
-5x=15
x=-3
Step-by-step explanation:
Answer:
0.8413 is the required probability.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 4.00 centimeters
Standard Deviation, σ = 0.60 centimeters
Sample size, n = 16
We are given that the distribution of average diameter is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =

P(diameter of sample is more than 3.85 centimeter)
P(x > 3.85)
Calculation the value from standard normal z table, we have,
0.8413 is the probability that the the average diameter of sample of 16 sand dollars is more than 3.85 centimeters.
Answer:
A
Step-by-step explanation:
We are given:

To make it simpler and more clear, we can let u = sin(x). So:

Now, it becomes obvious that we can factor, which produces:

Cancel:

And substituting back:

Hence, our answer is A.
The top one can go by halves, and the bottom one can go by 1's. so for the top 1/2, 1, 1 1/2, 2, and 2 1/2 while the bottom would be 0 1 2 3 4... and so on