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gayaneshka [121]

2 years ago

5

Write y=x^2+4x-5 in vertex form. Then identify the vertex.

1 answer:

Pachacha [2.7K]2 years ago

7 0

the vertex form is (x+2)^2 - 9 and the vertex is (-2, -9)

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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

1 A. All master photographers are artists.

Ede4ka [16]

Answer:

A is the appropriate option.

Step-by-step explanation:

The question given is a conditional statement.

With the condition that all master photographers are artist. This implies that any person who is a master photographer is automatically an artist.

A. Comparing the statement here, since Ansel Adam's is a master photographer, he is an artist.

B. Ansel Adams is an artist, but it is possible that not all artists are master photographer.

A is the correct option.

1. All master photographers are artists.

2. Ansel Adams is a master photographer.

Therefore, Ansel Adams is an artist.

7 0

3 years ago

The average speed of a train that travels x in 3/4 hour

creativ13 [48]

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Ans: (x/(3/4)) mph = (4x/3)mph = (4/3)x mph
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5 0

2 years ago

ANOTHER ONE AGAIN PLSSSSS

mina [271]

Answer:

Luka had 6 slices, Kira had 9 slices and Ali 12 slices

Step-by-step explanation:

Each had 2/3 of their slices hence

Luka = 3/2 x 4 slices = 6

Kira = 3/2 x 6 slices = 9

Ali = 3/2 x 8 slices = 12

6 0

3 years ago

alina1380 [7]

ANSWER—C.................................

3 0

3 years ago