Answer:
Step-by-step explanation:
Given mean = 84,
Standard deviation = 2,
Sample 64,
95% confidence interval: z = 1.96
Applying empirical rule , means that 95% of data fall within two standard deviations.
ME = = 0.49
Rounding this to 0.5
CI = 83.5< mean < 84.5
Outside of this range= x ≤ 83.5 and ≥ 84.5
24 is what percent of 49? The answer to that is 48.98.
Answer:
D
Step-by-step explanation:
The augmented matrix for the system of three equaitons is

Multiply the first row by 5, the second row by -3 and add these two rows:

Subtract the third row from the second:

Divide the third row by 6:

Now multiply the third equation by 26 and add it to the second row:

You get the system of three equations:

From the third equation

Substitute z=2 into the second equation:

Now substitute z=2 and y=5 into the first equation:

The solution is (1,5,2)
Answer:
See Explanation
Step-by-step explanation:
Now;
From;
P=Poe^kt
Where;
P = population at time=t
Po = population initially present
k = growth rate
t = time taken
a) The function is;
P= 112,000e^0.04t
b) In the year 2004, the population will be
P= 112,000e^0.04(6)
P= 142380
c) 200,000 =112,000 e^0.04t
200,000/112,000 = e^0.04t
1.786 = e^0.04t
ln 1.786 = ln e^0.04t
ln 1.786= 0.04t
t = ln 1.786/0.04
t = 14.5 years
Answer:
Either 43 or 44, depemding on if you round up.