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3 years ago

Which of the following equations have one solutions? A. -6x-6=103x-103 B. -6x-6=-6x-103 C. 103x-6=103x-103 D. -103x-6=-6x-103

Mathematics

2 answers:

Helga [31]3 years ago

8 0

Answer: I believe the answer is D

olga2289 [7]3 years ago

4 0

Answer: is A and D

Step-by-step explanation:

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Write an equation of the line that contains

Elodia [21]

Y-(-1)=3(x-3)->y+1=3x-9->y=3x-10 so y=3x-10 is your new line

7 0

3 years ago

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

What is the volume of a cylinder tank with diameter of 50cm and height of 80cm

stepladder [879]

Answer:

12566.37061435917

4000π

Step-by-step explanation:

the equation is 50π×80

this is because you have to find the area of the circle which is diameter times pi and then you multiply that by the height of the cylinder

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3 years ago

Which of the expressions below are equivalent? 8x - 4 4x 4(2x - 1)

alexandr402 [8]

8x-4 and 4(2x-1)

4(2x-1) the four needs to be distributed in the parentheses.

4*2x=8x
4*(-1)=(-4)

8x-4=8x-4

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3 years ago

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Anna007 [38]

The absolute value of an given number is always positive. So, when adding two to any positive number will always be greater than the number by itself.

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3 years ago