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3 years ago

IXL- 8th grade math W.14

Mathematics

2 answers:

kirza4 [7]3 years ago

8 0

Answer:

4 visits.

Step-by-step explanation:

First make an equation to represent the cost of the museum stuff using the formula y=mx+b

y=5x+11 would be the formula because you pay a flat fee of $11 for the membership and $5 for each visit after (x represents visits, y represents total cost)

Now we need to figure out how many visits a bill of $31 would represent.

We plug in 31 for y because y represents the total cost.

31=5x+11

Now solve for x.

Subtract 11 from both sides: 20=5x

Divide each side by 5: 4=x

Since x=4, it means that a bill of $31 would represent four visits.

Snowcat [4.5K]3 years ago

3 0

Answer:

The maximum number of visits a member of the art museum can make for a total cost of $31 is 4 visits.

Step-by-step explanation:

Since the person must pay a membership fee of $11, we can deduct $11 from the total cost of $31.

$31 - $11 = $20

Now, we have $20 left to max out. Since each visit to the art museum is $5 per visit, we can divide 20 by 5.

$20 / $5 = 4

So the answer must be the person can make 4 maximum visits (and buy a membership) to equal $31. Hope this helps.

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Flow meters are installed in urban sewer systems to measure the flows through the pipes. In dry weatherconditions (no rain) the

ziro4ka [17]

Answer:

a) $\frac{(8)(30.23)^2}{20.09} \leq \sigma^2 \leq \frac{(8)(30.23)^2}{1.65}$

$363.90 \leq \sigma^2 \leq 4430.80$

Now we just take square root on both sides of the interval and we got:

$19.08 \leq \sigma \leq 66.56$

b) For this case we are 98% confidence that the true deviation for the population of interest is between 19.08 and 66.56

Step-by-step explanation:

423.6, 487.3, 453.2, 402.9, 483.0, 477.7, 442.3, 418.4, 459.0

Part a

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case we need to find the sample standard deviation with the following formula:

$s=sqrt{\frac{\sum_{i=1}^8 (x_i -\bar x)^2}{n-1}}
And in order to find the sample mean we just need to use this formula:
[tex]\bar x =\frac{\sum_{i=1}^n x_i}{n}$

The sample deviation for this case is s=30.23

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=9-1=8$

The Confidence interval is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and the critical values are:

$\chi^2_{\alpha/2}=20.09$

$\chi^2_{1- \alpha/2}=1.65$

And replacing into the formula for the interval we got:

$\frac{(8)(30.23)^2}{20.09} \leq \sigma^2 \leq \frac{(8)(30.23)^2}{1.65}$

$363.90 \leq \sigma^2 \leq 4430.80$

Now we just take square root on both sides of the interval and we got:

$19.08 \leq \sigma \leq 66.56$

Part b

For this case we are 98% confidence that the true deviation for the population of interest is between 19.08 and 66.56

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3 years ago

What’s the slope of x+2y=-8?

mash [69]

Answer:

- 1/2

Step-by-step explanation:

We use the slope-intercept form to figure out our slope.

y = mx + b

Get y alone:

x + 2y = -8

2y = -x - 8

y = -x/2 - 4

Since m is the slope in y = mx + b, we can see that -1/2 is in the place of m, therefore our slope is -1/2

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2 years ago

What is the answer to this question?! answer quick please!

Verizon [17]

Answer:

Step-by-step explanation:

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3 years ago

−4p+9=−5<br><br> Help a sister out plz

Lorico [155]

Answer: p=7/2=3.5

Step-by-step explanation:

Given

-4p+9=-5

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-4p+9-9=-5-9

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-4p/-4=-14/-4

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Hope this helps!! :)

Please let me know if you have any questions

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3 years ago

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liq [111]

Answer:

125,44

Step-by-step explanation:

Loss = 112÷100*12

=13,44

Therefore : 112 + 13%

=112 + 13,44

=125,44

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2 years ago