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4 years ago

The standard deviation of the data set is 2.3. Compute the variance to the nearest hundredth. 2,2,2,3,5,5,6,7,8

1 answer:

7 0

The standard deviation is the square root of the variance...so that means the variance is the standard deviation squared.

2.3^2 = 5.29 <===

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Mary month earnings can be given as R(x)=13x+155 where x equals the number of hours worked josies monthly are given as Q(x)=9x+3

tatuchka [14]

Answer:

45hours

Step-by-step explanation:

Given

Mary month earnings to be R(x)=13x+155

Josies monthly earning is given as Q(x)=9x+335

If Josie and Mary work to earn the same salary, then R(x) = Q(x)

13x+155 = 9x+335

subtract 155 from both sides

13x+155-155 = 9x+335-155

13x = 9x+180

subtract 9x from both sides

13x-9x = 9x+180-9x

4x = 180

x = 180/4

x = 45

Since x equals the number of hours worked by Josie and Mary, this means that Josie and Mary must work for 45hours to earn the same salary

6 0

3 years ago

Which of the following illustrates a phase shift?

Natasha_Volkova [10]

Answer:

A. y = -2 - cos(x-π)

Explanation:

The general form of the trig equation is:

y = A sin (Bx + C) + D

where:

A is the amplitude

$\frac{2\pi}{B}$ is the period

$\frac{-C}{B}$ is the phase shift

D is the vertical shift

Now, let's check the choices:

A. y = -2 - cos(x-π)

$\frac{-C}{B} = \frac{\pi}{1} = \pi$

Therefore, the function has a phase shift of π

B. y = 3 cos(4x)

$\frac{-C}{B} = \frac{0}{4} = 0$

Therefore, the function has no phase shift

C. y = tan(2x)

$\frac{-C}{B} = \frac{0}{2} = 0$

Therefore, the function has no phase shift

D. y = 1 + sin(x)

$\frac{-C}{B} = \frac{0}{1} = 0$

Therefore, the function has no phase shift

Based on the above, the correct answer is A

Hope this helps :)

3 0

3 years ago

Read 2 more answers

Find the area of this triangle. Round to the nearest tenth

hodyreva [135]

9514 1404 393

Answer:

74.8 m²

Step-by-step explanation:

The hint is usually a good place to start.

A = (1/2)(11 m)(15 m)sin(115°) ≈ 74.8 m²

_____

Additional comment

As is often the case with over-specified triangle problems, the answer you get depends on how you work the problem. Here, the hint suggests you use the angle. If you use the three side lengths, you find the angle is 114.7° and the area is about 74.9 m².