9514 1404 393
Answer:
see attached
Step-by-step explanation:
13. The difference of two matrices is the term-by-term difference. For example, the bottom right term is the difference of the bottom right terms ...
(-6) -(5) = -11
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14. The scalar multiple of a matrix is the scalar multiplied by each term of the matrix. For example, the upper right term is ...
3(1) = 3
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15. The matrix product is the dot product of the rows of the left matrix with the columns of the right matrix. For example, the product term in row two, column one is the dot product of row 2 of C and column 1 of B:
[9, -2, 4]·[-2, -7, 10] = 9(-2) +(-2)(-7) +4(10) = -18 +14 +40 = 36
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It is convenient to let an appropriate tool help with this. Many graphing calculators and spreadsheets are able to do these functions easily.
Answer:
5.3
Step-by-step explanation:
pythagorean theory :,)
the legs are and
, while the hypotenuse (the longest side) is
fill in the equation with the information u have and simplify so
now get the variable () by itself
(subtract 36 on both sides)
square root of both sides ≈ 5.3
(you could also multiply the square root of 7 by 2)
Answer:
The standard deviation used to calculate the test statistic for the one-sample z-test is 0.04.
Step-by-step explanation:
A single proportion <em>z</em>-test can be performed to determine whether the proportion of people in Norway with a blood type of A positive is different from that in the United States.
It is provided that the percentage of people in the US with blood type A positive is, <em>p</em> = 36%.
A random sample of <em>n</em> = 150 people from Norway are selected to check the above claim.
The hypothesis can be defined as:
<em>H₀</em>: The proportion of people in Norway with a blood type of A positive is same as that in the United States, i.e. <em>p</em> = 0.36.
<em>Hₐ</em>: The proportion of people in Norway with a blood type of A positive is different from that in the United States, i.e. <em>p</em> ≠ 0.36.
The test statistic for the the hypothesis testing is:
The mean of the sample proportion is:
The standard deviation of sample proportion is:
Compute the standard deviation value as follows:
Thus, the standard deviation used to calculate the test statistic for the one-sample z-test is 0.04.