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castortr0y [4]
3 years ago
6

If 24 pencils cost $1.20 then how much does one pencil cost?

Mathematics
2 answers:
maria [59]3 years ago
8 0

Answer:

The cost is $.05   or 5 cents per pencil

Step-by-step explanation:

Take the cost and divide by the number of pencils

1.20 /24

.05

The cost is $.05   or 5 cents per pencil

Masteriza [31]3 years ago
7 0

Answer:

$0.05

Step-by-step explanation:

1.20 divided by 24

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Answer: A.  We are​ 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of mu.

Step-by-step explanation:

The correct interpretation of a 99% confidence interval is that we are 99% confident that the true population mean falls in it.

Given  99% confidence interval : 4.1

Then, the correct interpretation :  We are​ 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of mu.

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What is the amplitude, period, and phase shift of f(x) = -4 sin(2x + π) - 5?
son4ous [18]
F(x) = -4sin(2x + π) - 5

<u>Amplitude</u>
A = -π

<u>Period</u>
<u>2π</u> = <u>2π</u> = π
 B      2

<u>Phase Shift</u>
<u>-C</u> = <u>-π</u> = ≈ 1.57<u>
</u> B      2<u>
</u>
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Solve for x: <br> dx+fx=8-2dx
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Step-by-step explanation:

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3 years ago
4 cos²x – 1=0<br><br> What is the solution?
andreev551 [17]

Answer:

$x=\frac{\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{5\pi }{3}+2\pi n, n \in \mathbb{Z}$

$x=\frac{2\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{4\pi }{3}+2\pi n, n \in \mathbb{Z}$

or

$x=\frac{\pi}{3}+\pi n, n \in \mathbb{Z} $

$x=\frac{2\pi }{3}+\pi n, n\in \mathbb{Z}$

Step-by-step explanation:

4\text{cos}^2(x)-1=0\\4\text{cos}^2(x)=1\\

$cos(x)=\pm\sqrt{\frac{1}{4} } $

$cos(x)=\pm\frac{1}{2}  $

So, when cos(x) is equal to

$\frac{1}{2}   \text{ and } -\frac{1}{2}$    ?

For

$cos(x)=\frac{1}{2} $

We are talking about x = 60º and x = 300º, Quadrant I and IV, respectively. In radians:

$x=\frac{\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{5\pi }{3}+2\pi n, n \in \mathbb{Z}$

or

$x=\frac{\pi}{3}+\pi n, n \in \mathbb{Z} $

For

$cos(x)=-\frac{1}{2} $

We are talking about x = 120º and x = 240º, Quadrant II and III, respectively. In radians:

$x=\frac{2\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{4\pi }{3}+2\pi n, n \in \mathbb{Z}$

or

$x=\frac{2\pi }{3}+\pi n, n\in \mathbb{Z}$

6 0
3 years ago
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