Mary can make a quilt in 3 days and Eva can make
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Answer:
We conclude that speed is greater than 30 miles per hour.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 30 miles per hour
Sample mean, = 35 miles per hour
Sample size, n = 15
Alpha, α = 0.01
Sample standard deviation, s = 4.7 miles per hour
First, we design the null and the alternate hypothesis
We use one-tailed(right) t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis and conclude that speed is greater than 30 miles per hour.
We calculate the p-value.
P-value = 0.00052
Since p value is lower than the significance level, we reject the null hypothesis and accept the alternate hypothesis. We conclude that speed is greater than 30 miles per hour.
Answer:
the polynomial has degree 8
Step-by-step explanation:
Recall that the degree of a polynomial is given by the degree of its leading term (the term with largest degree). Recall as well that the degree of a term is the maximum number of variables that appear in it.
So, let's examine each of the terms in the given polynomial, and count the number of variables they contain to find their individual degrees. then pick the one with maximum degree, and that its degree would give the actual degree of the entire polynomial.
1) term contains four variables "x" and two variables "y", so a total of six. Then its degree is: 6
2) term contains two variables "x" and five variables "y", so a total of seven. Then its degree is: 7
3) term contains four variables "x" and four variables "y", so a total of eight. Then its degree is: 8
This last term is therefore the leading term of the polynomial (the term with largest degree) and the one that gives the degree to the entire polynomial.