Answer:
E= 6.45
standard deviation is σ = 15,
The critical value is z(α/2) = 2.58.
Step-by-step explanation:
Margin error is the value that is lie above and below the sample.It gives percentage of numbers.Its is the product of critical value standard deviation and standard error of statistic.
General formula for the margin of error is
Margin of error = critical value × standard error of statistic
= × σ √n
z-value from two tailed is listed below:
From the table of standard normal distribution, probability value of 0.10.
row and column values gives the area to the two tail of z.
The positive z value is 2.58.
standard deviation is σ = 15,
The critical value is z(α/2) = 2.58.
after putting these vales we obtain the margin of error value that is
E= 6.45
Answer:
<u>Step-by-step explanation:</u>
Pythagorean Theorem is: a² + b² = c² , <em>where "c" is the hypotenuse</em>
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Note: 4² + (8√2)² = hypotenuse² → hypotenuse = 12
Note: 12² + opposite² = 20² → opposite = 16
Note: adjacent² + 5² = 6² → adjacent = √11
Note: adjacent² + 7² = (13√2)² → adjacent = 17
Answer:
For First Solution:
is the solution of equation y''-y=0.
For 2nd Solution:
is the solution of equation y''-y=0.
Step-by-step explanation:
For First Solution:
In order to prove whether it is a solution or not we have to put it into the equation and check. For this we have to take derivatives.
First order derivative:
2nd order Derivative:
Put Them in equation y''-y=0
e^t-e^t=0
0=0
Hence is the solution of equation y''-y=0.
For 2nd Solution:
In order to prove whether it is a solution or not we have to put it into the equation and check. For this we have to take derivatives.
First order derivative:
2nd order Derivative:
Put Them in equation y''-y=0
cosht-cosht=0
0=0
Hence is the solution of equation y''-y=0.