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3 years ago

Please help me with this

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

3 0

Answer:

x=8

Step-by-step explanation:

The ratio of a side of PQRS to the corresponding side in TUVW. is 6:4=3:2.

The ratio of RS:VW=3:2. RS=12, and VW=x. 12:x=3:2. 3 multiplied by 4 is 12, so 2 multiplied by 4 is x. So, the makes x=8.

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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

What best describes the pair of angles below?

user100 [1]

Answer:

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5 0

3 years ago

Describe the difference between a probability derived from the analytic view (logical analysis), the Relative Frequency view (sa

oee [108]

Answer:

See the explanation

Step-by-step explanation:

<h2>Analytic View:</h2>

If and event can occur in A number of way and fail in B number of ways, then probability of its occurrence is:

$P(A)= \frac{A}{A+B}$

or probability of its failing is:

$P(B)=\frac{B}{A+B}$

<h3>Example:</h3>

Rolling a number smaller than 3 in a dice.

A= 2 (1,2)

B = 4 (3,4,5,6)

$P(A)= \frac{2}{2+4}=\frac{1}{3}$

<h2>Relative Frequency View:</h2>

Definition of Probability in terms of past performances (data). It can be taken as how often things happens divided by all outcomes.

<h3>Example:</h3>

A batter has 50 safe hits at 200 bats, which makes his batting average $\frac{50}{200}= 0.25$ which is the probability.

<h2>Subjective View:</h2>

When you define a probability due to personel beleif in the likelihood of an outcome. It involve no formal calculations and varies from person to person, depending on their past experience.

<h3>Example:</h3>

A person beleives that probability that the batter will hit safely in the next bat is 0.75

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3 years ago

. An average car uses 1 ounces of

Inessa [10]

ANSWER:

2 ounces.

EXPLANATION:

it uses 1 once of gasoline every time it is on not driving and it is at a traffic light for 2 minutes then 1 + 1 = 2.

1 ounce + 1 ounce = 2 ounces of gasoline it uses.

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2 years ago

Suppose 123 people voted for Danny. If 55 of the votes were from girls, what would be the ratio of votes from girls to votes fro

MakcuM [25]

Answer:

68 to 55 hope this helps

Step-by-step explanation:

3 0

3 years ago

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