Which graph best represents the solution to the system of equations shown below?
2 answers:
Answer:
Option 2
Step-by-step explanation:
The system of equations consists of equations
y = -4x + 19 --------(1)
y = 2x + 1 ---------(2)
Now equating both the equations for the values of y
-4x + 19 = 2x + 1
-2x - 4x + 19 = 1
-6x = 1 - 19
-6x = -18
x =
x = 3
from equation (1) y = -4(3) + 19
= -12 + 19
= 7
Therefore, solution of the system of the equations is (3, 7)
This solution of the system of equation has been given in graph (2)
Therefore, Option (2) is the answer.
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Answer:
(a) The sample size required is 43.
(b) The sample size required is 62.
Step-by-step explanation:
The (1 - α) % confidence interval for population mean is:
The margin of error for this interval is:
(a)
The information provided is:
<em>σ</em> = 4 minutes
MOE = 72 seconds = 1.2 minutes
Confidence level = 95%
α = 5%
Compute the critical value of z for α = 5% as follows:
*Use a z-table.
Compute the sample size required as follows:
Thus, the sample size required is 43.
(b)
The information provided is:
<em>σ</em> = 4 minutes
MOE = 1 minute
Confidence level = 95%
α = 5%
Compute the critical value of z for α = 5% as follows:
*Use a z-table.
Compute the sample size required as follows:
Thus, the sample size required is 62.