Answer:
m = 7, m = -15
Step-by-step explanation:
The absolute value makes it so we can make two equations:
m + 4 = 11 and m + 4 = -11.
solve the equations:
m + 4 = 11
m = 7
and
m + 4 = -11
m = -15.
Answer:
d. 20
Step-by-step explanation:
Standard deviation is 4.5
Margin error for the problem is 2 hours
Probability 95%, that means that the siginficance level α is 1 – p
α = 1 – 0.95 = 0.05
margin of error (ME) can be defined as follows
ME = Z(α/2) * standard deviation/ √n
Where n is the sample size
Z(0.05/2) = Z(0.025)
Using a z table Z = 1.96
Now, replacing in the equation and find n
2 = 1.96 * 4.5/ √n
2 = 8.82/√n
√n = 8.82/2
√n = 4.41
n = 4.41^2
n = 19.44 ≈ 20
Here we use the equation

Taking points (0,4), (1,2)
Substituting the point (0,4) , we will get

Substituting (1,2) we will get

So we have

Therefore , required equation is

Answer:
32 remaining cups for Kin
Step-by-step explanation: