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3 years ago

1. Which expression shows the distance on the number line between −14 and −5 ?

Mathematics

1 answer:

kiruha [24]3 years ago

5 0

You can use this to help you.https://www.symbolab.com/

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What is the length of a diagonal of a rectangular picture whose sides are 12" x 17" round to the nearest 10th of an inch

MAXImum [283]

A^2 + b^2 = c^2
12^2 + 17^2 = 485
so c^2=485
so c=22.0 inches

5 0

2 years ago

What is the slope of the line represented by y = 5x - 7?

Ghella [55]

The slope of the line is 5/1 because the number by the x is always your slope and it is always to be announced as a fraction so you add 1 as the denominator if there isn’t already a denominator.

6 0

3 years ago

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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:

$23.818 \leq \sigma \leq 41.112$

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3 years ago

Which statement describes how to determine if a relation given in a table is a function?

const2013 [10]

Answer: B

Step-by-step explanation: A function is a relation in which each input value is paired to exactly one output value.

Technically, if you had the same input value twice and the same output value corresponded to each of those, it would still be a function because you are just repeating what you have twice.

However, most teachers want to think of it as each input value must have exactly one corresponding value to be a function.

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3 years ago

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Hi! What is y = x^2 -4x +5 vertex form? Please explain how you got this answer. Thanks! :)

Anarel [89]

${x}^{2} - 4x + 5 = 0 \\ {x}^{2} - 4x = - 5 \\ \\ { (\frac{b}{2} )}^{2} = ( \frac{ - 4}{2} ) = ( { - 2})^{2} = 4 \\ {x}^{2} - 4x + 4 = - 5 + 4 \\ {(x - 2)}^{2} = - 1 \\ {(x - 2)}^{2} + 1$
The last line is in vertex form, and can see the vertex is located at (2,1).

8 0

3 years ago

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