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zimovet [89]
3 years ago
12

when draining her hot tub, the height of the water in Brittany's hot tub decreases at a rate of 2 inches per minute. After 9 min

utes there are 11 inches of water in the tub. Assume that the height is decreasing at a constant rate. After how many minutes will the tub be empty.
Mathematics
1 answer:
Alla [95]3 years ago
8 0

h-11=-2(t-9)

h=-2t+18+11

h=-2t+29

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Use photo math. or mathpapa to help you solve the equation
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Use the image below to describe at least three different ratios, written in simplest form. Include at least one part-to-part rat
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The different ratios are 2 : 7, 2 : 9 and 7 : 9

<h3>How to determine the ratio?</h3>

The statement is given as:

8 out of 36 squares unfilled

This means that:

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The part-to-part ratio is represented as:

Ratio = Unfilled : Filled

This gives

Unfilled : Filled = 8 : 28

Simplify

Unfilled : Filled = 2 : 7

The part-to-whole ratios are represented as:

Ratio = Unfilled : Total

Ratio = Filled : Total

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Unfilled : Total = 8 : 36

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6 0
2 years ago
A professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their class
KIM [24]

Answer:

We conclude that seniors skip more than 2% of their classes at 0.01 level of significance.

Step-by-step explanation:

We are given that a professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their classes.

He randomly samples a group of seniors and out of 2521 classes, the group skipped 77.

<u><em /></u>

<u><em>Let p = percentage of seniors who skip their classes.</em></u>

So, Null Hypothesis, H_0 : p \leq 2%   {means that seniors skip less than or equal to 2% of their classes}

Alternate Hypothesis, H_A : p > 2%   {means that seniors skip more than 2% of their classes}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                   T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p = sample proportion of seniors who skipped their classes = \frac{77}{2521}

           n = sample of classes = 2521

So, <u><em>test statistics</em></u>  =  \frac{\frac{77}{2521} -0.02}{{\sqrt{\frac{\frac{77}{2521}(1-\frac{77}{2521})}{2521} } } } }

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The value of the test statistics is 3.08.

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Ok ok I know you hate links but this is the only way to show you the answer.

Full credit to the original owner

https://www.quora.com/What-is-the-probability-that-both-marbles-are-green-if-a-bag-contains-3-green-marbles-and-5-purple-marbles-and-two-are-drawn-at-random-without-replacement

The entire answer is explained in there
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Step-by-step explanation:

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