1 Solve the following inequalities, Show your workings (a) 2x-3> 7
1 answer:
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Answer:
Step-by-step explanation:
The formula for the dot product of vectors is
u·v = |u||v|cosθ
where |u| and |v| are the magnitudes (lengths) of the vectors. The formula for that is the same as Pythagorean's Theorem.
which is
which is
I am assuming by looking at the above that you can determine where the numbers under the square root signs came from. It's pretty apparent.
We also need the angle, which of course has its own formula.
where uv has ITS own formula:
uv = (14 * 3) + (9 * 6) which is taking the numbers in the i positions in the first set of parenthesis and adding their product to the product of the numbers in the j positions.
uv = 96.
To get the denominator, multiply the lengths of the vectors together. Then take the inverse cosine of the whole mess:
which returns an angle measure of 30.7. Plugging that all into the dot product formula:
gives you a dot product of 96
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is F
Since the test statistics<u> is outside </u>the rejection region , <u>we fail to reject </u>the null hypothesis ,There<u> is no</u> statistically significant evidence to reject the claim
Step-by-step explanation:
From the question we are told that
The claim is
Hence
The null hypothesis is
The alternative is
Generally the test statistics is mathematically represented as
=>
=>
Generally the degree of freedom is mathematically represented as
From the student t-distribution table the critical value of at a degree of freedom of 8 is
Since the is outside the rejection region , we fail to reject the null hypothesis ,There is no sufficient evidence to reject the claim
