57/95 simplifly form
2 answers:
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Answer:
And the best option for this case would be:
a. (17.5, 21.7)
Step-by-step explanation:
Information given
represent the sample mean
population mean
represent the population deviation
n=42 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom, given by:
Since the Confidence is 0.98 or 98%, the significance would be and
, and the critical value would be
Replacing we got:
And the best option for this case would be:
a. (17.5, 21.7)
The value of the expression -2xy for x = -4.7 and y = 0.2 is 1.88. Thus option number 3 is correct.
<u>Solution:</u>
We have been given an expression that is -2xy and have been asked to find its value for the given values of x and y
The given values of x and y are -4.7 and 0.2 respectively.
To find the value of the expression for the given values of x and y we substitute the values of x and y in the given expression and solve it as follows:
Given expression = -2xy
Hence the option number 3 is correct.
Answer:
Step-by-step explanation:
The equation of a circle in standard form is
You are given
In order to put the equation in standard from, we need to complete the square. Since there is no y term, the y part is simply y^2, and there is no need to complete the square for y. For x, we do have an x term, so we must complete the square in x.
Start by grouping the x terms and subtracting 45 from both sides.
Now we need to complete the square for x.
The number that completes the square will go in the blank above, and it will also be added to the right side of the equation.
To find the number you need to add to complete the square, take the coefficient of the x term. It is -18. Divide it by 2. You get -9. Now square -9 to get 81. The number that completes the square in x is 81. Now you add it to both sides of the equation.
Answer: