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3 years ago

Solve the following system y= x+ 3 3x +y = 19

1 answer:

3 0

3x+y=19

y=19-3x and y=x+3, at a solution both x and y are equal so we can say y=y:

19-3x=x+3

19-4x=3

-4x=-16

x=4, and since y=x+3

y=7 so the solution is the point:

(4,7)

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Because of staffing decisions, managers of the Gibson-Marion Hotel are interested in the variability in the number of rooms occu

olchik [2.2K]

Answer:

a) $s^2 =30^2 =900$

b) $\frac{(19)(30)^2}{30.144} \leq \sigma^2 \leq \frac{(19)(30)^2}{10.117}$

$567.28 \leq \sigma^2 \leq 1690.224$

c) $23.818 \leq \sigma \leq 41.112$

Step-by-step explanation:

Assuming the following question: Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in the variability in the number of rooms occupied per day during a particular season of the year. A sample of 20 days of operation shows a sample mean of 290 rooms occupied per day and a sample standard deviation of 30 rooms

Part a

For this case the best point of estimate for the population variance would be:

$s^2 =30^2 =900$

Part b

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The degrees of freedom are given by:

$df=n-1=20-1=19$

Since the Confidence is 0.90 or 90%, the significance $\alpha=0.1$ and $\alpha/2 =0.05$ , the critical values for this case are:

$\chi^2_{\alpha/2}=30.144$

$\chi^2_{1- \alpha/2}=10.117$

And replacing into the formula for the interval we got:

$\frac{(19)(30)^2}{30.144} \leq \sigma^2 \leq \frac{(19)(30)^2}{10.117}$

$567.28 \leq \sigma^2 \leq 1690.224$

Part c

Now we just take square root on both sides of the interval and we got:

$23.818 \leq \sigma \leq 41.112$

5 0

3 years ago

On Wednesday a local hamburgers shop sold a combined total of 568 hamburgers and cheeseburgers. The number of cheeseburgers sold

Sphinxa [80]

Answer:

i think its 142

5 0

2 years ago

Help me asap!!!!!!!!!!!

melisa1 [442]

Answer:

(x-2)^2-11

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

gail ran 4<img src="https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B10%7D" id="TexFormula1" title="\frac{6}{10}" alt="\frac{6}{10}" ali

erastovalidia [21]

92/25=3.68 I hope this help

3 0

2 years ago

What figure will result when the triangle is rotated around RE?

Oduvanchick [21]

Answer:

The figure will result is cone ⇒ B

Step-by-step explanation:

When a right triangle is rotated about its vertical leg 360°, then it formed a cone its radius is the horizontal leg of the triangle and its height is the vertical lege of the triangle

In the given figure

∵ Triangle TRE is a right triangle

∴ The horizontal leg is RE

∴ The vertical leg is TR

∵ The triangle is rotated around the horizontal leg RE 360°

∴ It formed a cone its radius = TR and its height = RE

∴ The figure will result is the cone

3 0

2 years ago