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2 years ago

Which expression is equivalent to 1/6 - 3/8 + 1/2

Mathematics

1 answer:

serg [7]2 years ago

3 0

Answer:

7/24

Step-by-step explanation:

1/6-3/8+1/2

4/24-9/24+12/24

-5/24+12/24

7/24

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Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and

balu736 [363]

Answer:

(a) The sample size required is 43.

(b) The sample size required is 62.

Step-by-step explanation:

The (1 - α) % confidence interval for population mean is:

$CI=\bar x\pm z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

The margin of error for this interval is:

$MOE=z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

(a)

The information provided is:

<em>σ</em> = 4 minutes

MOE = 72 seconds = 1.2 minutes

Confidence level = 95%

α = 5%

Compute the critical value of z for α = 5% as follows:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the sample size required as follows:

$MOE=z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

$n=[\frac{z_{\alpha/2}\times \sigma}{MOE} ]^{2}$

$=[\frac{1.96\times 4}{1.2}]^{2}\\\\=42.684\\\\\approx 43$

Thus, the sample size required is 43.

(b)

The information provided is:

<em>σ</em> = 4 minutes

MOE = 1 minute

Confidence level = 95%

α = 5%

Compute the critical value of z for α = 5% as follows:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the sample size required as follows:

$MOE=z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

$n=[\frac{z_{\alpha/2}\times \sigma}{MOE} ]^{2}$

$=[\frac{1.96\times 4}{1}]^{2}\\\\=61.4656\\\\\approx 62$

Thus, the sample size required is 62.

3 0

2 years ago

On a very cold morning it was -7 Fahrenheit as the day went on the temperature rose 3° each hour which equation shows the temper

tiny-mole [99]

Answer:

T = -7 + 3t .

Step-by-step explanation:

T = -7 + 3t where T = the temperature and t = the times in hours.

5 0

2 years ago

Read 2 more answers

What describes the solution of the inequality y > -15

Alex787 [66]

Answer:

paper

Step-by-step explanation:

8 0

2 years ago

Which is the graph of the line LaTeX: y-2=3\left(x-1\right)y − 2 = 3 ( x − 1 )?

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

The equation given takes the point-slope form which is, $y - b = m(x - a)$ . Where,

(a, b) = (x, y) coordinates of a point on the line.

m = slope of the line .

To find which graph has a line equation of $y - 2 = 3(x - 1)$ , look for the points which will give you something almost exactly as the equation if you substitute their values into $y - b = m(x - a)$ .

Let's consider option D.

We have a given point (1, 2). a = 1, b = 2.

Substitute these into $y - b = m(x - a)$

We have:

$y - (2) = m(x - (1))$

$y - 2 = m(x - 1)$

As you can see, this looks almost exactly as

$y - 2 = 3(x - 1)$ .

If you want to be certain that option D is the answer, find m by using the coordinates of any other point on the line and plug into $y - 2 = m(x - 1)$ to find m:

In graph D, let's take the points (0, -1)

$-1 - 2 = m(0 - 1)$