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MariettaO [177]
1 year ago
14

What is the period of the function f(x) = -4 cos(5x-9) - 7? Give an exact value. units

Mathematics
2 answers:
ehidna [41]1 year ago
5 0

Answer:

2pi/5

Step-by-step explanation:

The only thing in this equation that affect the period is the '5' in front of the 'x'

cos period is usually 2pi

 this is compressed by 5    

    period = 2pi/ 5

N76 [4]1 year ago
4 0

General equation

  • y=Acos(Bx+C)+D

Our Equation

  • y=-4cos(5x-9)-7

On comparing

  • A=-4
  • B=5
  • C=-9
  • D=-7

Now

Period

  • 2π/B
  • 2π/5
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What is the mean for the numbers 94,26,76,46,77,66,31, and 88?
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Answer:

68

Step-by-step explanation:

Add all of the numbers together then divide by the amount of numbers there are.

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Researchers studying starfish collected two independent random samples of 40 starfish. One sample came from an ocean area in the
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Answer:

The test statistic for the appropriate test is \frac{0.15-0.275}{\sqrt{0.2125(1-0.2125)[\frac{1}{40}+\frac{1}{40}]}}.

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:

\hat p_{n}=\frac{6}{40}=0.15

Compute the sample proportion of starfish from south that were over 8 inches in length as follows:

\hat p_{s}=\frac{11}{40}=0.275

The test statistic is:

z=\frac{\hat p_{n}-\hat p_{s}}{\sqrt{P(1-P)[\frac{1}{n_{n}}+\frac{1}{n_{s}}]}}

Compute the combined proportion <em>P</em> as follows:

P=\frac{X_{n}+X_{s}}{n_{n}+n_{s}}=\frac{6+11}{40+40}=0.2125

Compute the test statistic value as follows:

z=\frac{\hat p_{n}-\hat p_{s}}{\sqrt{P(1-P)[\frac{1}{n_{n}}+\frac{1}{n_{s}}]}}

  =\frac{0.15-0.275}{\sqrt{0.2125(1-0.2125)[\frac{1}{40}+\frac{1}{40}]}}

Thus, the test statistic for the appropriate test is \frac{0.15-0.275}{\sqrt{0.2125(1-0.2125)[\frac{1}{40}+\frac{1}{40}]}}.

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What is the answer to 4x²+7=31
Shtirlitz [24]

Answer: x2= 6

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Step-by-step explanation:

Simplifying

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Reorder the terms:

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Solving

7 + 4x2 = 31

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + 4x2 = 31 + -7

Combine like terms: 7 + -7 = 0

0 + 4x2 = 31 + -7

4x2 = 31 + -7

Combine like terms: 31 + -7 = 24

4x2 = 24

Divide each side by '4'.

x2 = 6

Simplifying

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