Answer:
Step-by-step explanation:
15n - 45/5 = 6n - 9...reduce any fractions
15n - 9 = 6n - 9 ...subtract 6n from both sides
15n -9 - 6n = 6n - 6n - 9...combine terms
9n - 9 = -9....add 9 to both sides
9n - 9 + 9 = -9 + 9...combine terms
9n = 0....divide both sides by 9
n = 0/9 which = 0
Answer:
A. Both triangles contain right angles and a corresponding angle of equal measure. Thus, two angles of the large triangle are equal in measure to two angles of the small triangle
x = 3 m
Step-by-step explanation:
The figure given shows two right angles triangles having corresponding angles that are congruent and of the same measure.
If we find the ratios of their given corresponding side lengths, their ratios would be the same.
Thus: ratio of the side of the smaller ∆ to the larger ∆ = 4:8 = 5:10 = 4/8 = 5/10 = ½
½ is the scale factor. Therefore, both triangles are similar.
To find x, multiply the corresponding side length of the other triangle by the scale factor.
x corresponds to side length that is 6 m in the other triangle.
Therefore,
x = 6*½ = 3 m
Kindly refer the attachment, fully solved.
Answer:
Step-by-step explanation:
Hello!
Suppose that the objective of the experiment is to test if a certain treatment modifies the mean of the population of interest.
If for example, the treatment is "new fertilizer" and the population of interest is "yield of wheat crops"
Then you'd expect that using the new fertilizer will at least modify the average yield of the wheat crops.
The hypotheses will be then
H₀: μ = μ₀
H₁: μ ≠ μ₀
Where μ₀ represents the known average yield of wheat crops. (is a value, for this exercise purpose there is no need to know it)
We know that the treatment modifies the population mean, i.e. the null hypothesis is false.
The sample we took to test whether or nor the new fertilizer works conducts us to believe, it does not affect, in other words, we fail to reject the null hypothesis.
Then we are in a situation where we failed to reject a false null hypothesis, this situation is known as <em><u>Type II error</u></em>.
I hope this helps!
Answer:
8r + 9p
Step-by-step explanation:
Combine like terms. Like terms are terms with the same variables as well as the same amount of said variable.
In this case, combine 12p with -3p
8r + 12p - 3p
8r + (12p - 3p)
8r + 9p
8r + 9p is your answer.
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