Answer:
Step-by-step explanation:
Hello!
You have sample of n=7 with mean X[bar]= 1403 and standard deviation S=27 and are required to estimate the mean with a 95%CI.
Asuming this sample comes from a normal population I'll use a stuent t to estimate the interval (a sample of 7 units is too small for the standard normal to be accurate for the estimation):
[X[bar]± * ]
[1403±2.365*]
[1378.87;1427.13]
The margin of error is the semiamplitude of the interval and you can calculate it as:
With a confidence level of 95% you'd expect that the real value of the mean is contained by the interval [1378.87;1427.13], the best estimate of the mean value is expected to be ± 24.13 of 1403.
I hope it helps!
Answer:
scott is 14 years old
Step-by-step explanation:
ron-2x
scott-x
tom- x-3
2x+x+x-3=53
4x-3=53
4x=56
x=14
Here is how you do it!
a^2 + b^2 = c^2
5^2 + b^2 = 13^2
25 + b^2 = 169
b^2 = 144
b = 12
The square root of 144 is 12, so your answer is B) 12
Hope this helps!
Answer:
Step-by-step explanation:
(3-1)/(-2-3)= -2/5
y - 1 = -2/5(x-3)
y - 1 = -2/5x + 6/5
y - 5/5 = -2/5x + 6/5
y = -2/5x + 11/5
standard form is
5y = -2x + 11
2x + 5y = 11
The first step would be to simplify both sides of the equal sign as much as possible.
8x - 5 = -3(3 - 2x)
8x - 5 = -9 - (-6x)
8x - 5 = -9 + 6x
Next, you would need to combine like terms on both sides of the equal sign to one on one side of the equal sign and one on the other.
8x - 5 = -9 + 6x
2x - 5 = -9
2x = -4
Now, all you have to do is isolate the x. To do this, you would divide both sides by 2.
2x = -4
x = -2
I hope this helps!