Find the multiples of 7 which is greater than 56 but less than 77
2 answers:
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Answer:
C:
Step-by-step explanation:
Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B
Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.
Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.
Answer:
The test statistic for the appropriate test is .
Step-by-step explanation:
The experiment conducted here is to determine whether there is a difference in proportion of starfish over 8 inches in length in the two ocean areas, i.e. north and south.
The hypothesis to test this can be defined as follows:
<em>H₀</em>: There is no difference in proportion of starfish over 8 inches in length in the two ocean areas, i.e. <em>p</em>₁ = <em>p</em>₂.
<em>Hₐ</em>: There is a difference in proportion of starfish over 8 inches in length in the two ocean areas, i.e. <em>p</em>₁ ≠ <em>p</em>₂.
The two-proportion <em>z</em>-test would be used to perform the test.
A sample of <em>n</em> = 40 starfishes are selected from both the ocean areas.
It provided that of the 40 starfish from the north, 6 were found to be over 8 inches in length and of the 40 starfish from the south, 11 were found to be over 8 inches in length.
Compute the sample proportion of starfish from north that were over 8 inches in length as follows:
Compute the sample proportion of starfish from south that were over 8 inches in length as follows:
The test statistic is:
Compute the combined proportion <em>P</em> as follows:
Compute the test statistic value as follows:
Thus, the test statistic for the appropriate test is .
Answer:
x = - 7
Step-by-step explanation:
Using the rule of exponents
×
=
Given
×
= 6², then
= 6²
Since the bases on both sides are equal then equate the exponents
9 + x = 2 ( subtract 9 from both sides )
x = - 7