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Marina86 [1]
2 years ago
10

How do you solve this?sin 10 = cos ?​

Mathematics
1 answer:
vagabundo [1.1K]2 years ago
8 0

Step-by-step explanation:

sinθ = cos (90 - θ)

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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
If the probability of an event is , and there are 28 total outcomes, how many favorable outcomes are there?
Aleks [24]
14 would be our answer
5 0
3 years ago
Give 3 expressions equivalent to the expression 24x+60
kirill [66]
12x+30, 36x+90, 6x+15
7 0
3 years ago
What is the perimeter of each figure?<br> 2x<br> 2x<br> X-8<br> x + 2<br> 1
____ [38]

Answer:

triangle: 5x-8

square: 4x+8

Step-by-step explanation:

triangle: 2x + 2x + x -8

combine like terms

= 5x-8

square: x + 2 + x + 2 + x + 2 + x +2

combine like terms

= 4x + 8

8 0
3 years ago
Abram needs to build a window frame. He needs 2 pieces of lumber that are feet long and 2 more that are feet long. How much lumb
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Answer:

D

Step-by-step explanation:

6 0
3 years ago
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