What is the degree of the following Monomial -2f^2g^3h^5
1 answer:
Answer:
10
Step-by-step explanation:
We have a monomial in 3 variables: f, g and h. Whenever a monomial has more than one variable, the degree is calculated as the sum of exponents of all the variables involved. The given monomial is:
The exponent of f is 2, exponent of g is 3 and exponent of h is 5.
The degree of this monomial would be the sum of all these three exponents.
So, the degree of given monomial is:
Degree = 2 + 3 + 5
Degree = 10
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Answer:
The 95% confidence interval would be given by
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
represent the sample mean 1
represent the sample mean 2
n1=27 represent the sample 1 size
n2=30 represent the sample 2 size
population standard deviation for sample 1
population standard deviation for sample 2
parameter of interest.
Solution to the problem
The confidence interval for the difference of means is given by the following formula:
(1)
The point of estimate for is just given by:
Since the Confidence is 0.95 or 95%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 95% confidence interval would be given by
Answer:
1)
2)
3)
Step-by-step explanation:
To write logs of the form in their exponential form, you take the base b and put it to the power of x and then set that equal to a:
.
1. Here, b = 5, a = 25, and x = 2, so:
2. In this problem, b = 5, x = 2, and a = x, so:
3. Finally, here, b = b, a = 64, and x = 3, so:
Hope this helps!