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4 years ago

Find the slope of the line that passes through (2,2) and (-4,10)

Mathematics

1 answer:

Semmy [17]4 years ago

5 0

Answer:

8/-6 or 4/-3 (either will work, their both the same)

Step-by-step explanation:

Use the formula y2-y1/x2-x1 (For example with this problem, 10-2/-4-2)

Solve it and simplify if you want or it it's needed.

You should get 8/-6 or simplified, 4/-3

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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

4 years ago

The shorter leg is??????????

Leto [7]

The shorter leg is

10·SIN(30°) = 5

3 0

3 years ago

12x+7<-11 or 5x-8>40

puteri [66]

Answer:

$\large\boxed{x9\dfrac{3}{5}\to x\in\left(-\infty,\ -1\dfrac{1}{2}\right)\ \cup\ \left(9\dfrac{3}{5},\ \infty\right)}$

Step-by-step explanation:

$12x+7$

$5x-8>40\qquad\text{add 8 to both sides}\\\\5x-8+8>40+8\\\\5x>48\qquad\text{divide both sides by 5}\\\\\dfrac{5x}{5}>\dfrac{48}{5}\\\\x>\dfrac{48}{5}\\\\x>9\dfrac{3}{5}\\===========================$

$x9\dfrac{3}{5}$

7 0

3 years ago

Como se calcula la medida de la sircunferencia si conocen la medida del diámetro

anygoal [31]

Para encontrar la medida de la circunferencia se aplica la ecuación P = π*D.

Explicación.

El perímetro es la medida total de todos los lados que pueda tener una figura geométrica, además se tiene que tener en cuenta que es una magnitud fundamental de los polígonos.

Para una circunferencia el perímetro se encuentra multiplicando el diámetro y el número π (pi), como se muestra a continuación:

P = π*D

Dónde:

P es el perímetro.

D es el diámetro

4 0

3 years ago

8n=7n + 1/2<br>please help me

natka813 [3]

I hope this helps you

8n=7n+1/2

2.8n=7n+1

16n-7n =1

9n=1

n=1/9

7 0

3 years ago

Read 2 more answers