The lower and upper limit of the 95% confidence interval is 183.2 and 196.0 unit.
What is a confidence interval ?
When you run your experiment again or resample the population in the same way, you can expect your estimate to fall within a certain range of values a certain percentage of the time. This is known as the confidence interval.
Main Body:
Given in question :
x- bar = 189.6
standard deviation = 10
C.I. = 95% =0.95
N=12
so, degree of freedom (D.F) = N-1 = 11
confidence level (α) = (1- C.I.)/2
= 0.025
according to t- distribution table for d.f = 11 and α= 0.025 , my result is 2.201
Now dividing standard deviation by square root of samples, we get
= 10/√12= 2.887
Lower limit = Mean - 2.201*2.887
= 189.6- 6.354
= 183.246
Upper limit = Mean + 2.201*2.887
= 189.6 + 6.354
= 195.954
Hence the result is 183.2 and 196.
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We want to get b alone so I would start by multiplying 2 to get it on the other side of the = sign. So then I have 2L=a-b. I would subtract a on both sides and then I would have 2L-a= -b. We don't want a -b so I would multiply everything by -1 so then the answer would then be a positive b= -2L+a
Order of operations.
Parentheses: there are none
Exponents: also none
Multiplication: also none
Division: yep. 45 / 3 = 15
Addition: none
Subtraction: Yes
The absolute value of -5 is 5. (Absolute values are always positive or 0)
5-15= -10
Answer:
The answer in the procedure
Step-by-step explanation:
we have
x+2y > 6
Isolate the variable y
y > -0.5x+3
The solution of this inequality is the shaded area above the dashed line
The equation of the dashed line is y=-0.5x+3
The slope of the dashed line is negative (m=-0.5)
The y-intercept of the dashed line is 3 (value of y when the value of x is equal to zero)
The x-intercept of the dashed line is 6 (value of x when the value of y is equal to zero)
Plot the intercepts to draw the dashed line and shaded the area above the dashed line
see the attached figure
Answer:
1,-4
Step-by-step explanation:
formula for rotation of 270 is (x,y) to (y,-x)