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Rudiy27
3 years ago
9

One tank is filling at the rate of 3/4 gallon / 2/3 minute a second tank is filling at the rate of 3/8 gallon per 1/2 minute whi

ch tank is filling faster equation
Mathematics
1 answer:
eduard3 years ago
7 0
\bf \cfrac{\quad \stackrel{gallons}{\frac{3}{4}}\quad }{\stackrel{minutes}{\frac{2}{3}}}\implies \cfrac{3}{4}\cdot \cfrac{3}{2}\implies \cfrac{9}{8}~g/m
\\\\\\
\cfrac{\quad \stackrel{gallons}{\frac{3}{8}}\quad }{\stackrel{minutes}{\frac{1}{2}}}\implies \cfrac{3}{8}\cdot \cfrac{2}{1}\implies \cfrac{3}{4}~g/m\\\\
-------------------------------

\bf \cfrac{3}{4}\cdot \cfrac{2}{2}\implies \cfrac{6}{8}\quad \textit{clearly then }\cfrac{9}{8}\textit{ is larger than }\cfrac{6}{8}
\\\\\\
\stackrel{\stackrel{tank's~volume}{gallons}}{y}=\cfrac{9}{8}\stackrel{minutes}{x}
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4 0
3 years ago
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If x square plus 8x plus q =(x plus k) Square find the value of k and q​
PIT_PIT [208]

Answer:

The value of k is 4 and q is 16.

Step-by-step explanation:

First, you have to expand the brackets by applying :

{(a + b)}^{2}  =  {a}^{2}  + 2ab +  {b}^{2}

{x}^{2}  + 8x + q =  {(x + k)}^{2}

{x}^{2}  + 8x + q =  {x}^{2}  + 2kx +  {k}^{2}

Next, you have to do it by comparison :

{x}^{2}  + 8x + q =  {x}^{2}  + 2kx +  {k}^{2}

by \: comparison

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q =  {k}^{2}

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7 0
3 years ago
A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain sca
blondinia [14]

The confidence interval for mean of the "before-after" differences is \fbox{(-0.4037,1.8037)}

Further explanation:

Find the difference between the before pain and the after pain.

Difference = before-after

Kindly refer to the Table for the difference of between the before and after pain.

Sum of difference = 5.6

Total number of observation = 8

Mean of difference = 0.7

Sample standard deviation s = 1.3201

Level of significance = 5\%

Formula for confidence interval = \left( \bar{X} \pm t_{n-1, \frac{\alpha}{2}\%} \frac{s}{\sqrt{n}} \right)

confidence interval = \left( 0.7 \pm t_{8-1, \frac{5}{2}\%} \frac{1.3201}{\sqrt{8}} \right)

confidence interval = \left( 0.7 \pm t_{7, \frac{5}{2}\%} \frac{1.3201}{\sqrt{8}} \right)

From the t-table.

The value of t_{7, \frac{5}{2}\%=2.365

Confidence interval = ( 0.7 \pm 2.365}\times \frac{1.3201}{\sqrt{8}}) \right)

Confidence interval = \left( 0.7 - 2.365}\times \0.4667,0.7 + 2.365}\times \0.4667) \right

Confidence interval = (0.7-1.1037,0.7+1.1037)

Confidence interval = \fbox{(-0.4037,1.8037)}

The 95\% confidence interval tells us about that 95\% chances of the true mean or population mean lies in the interval.

Yes, the hypnotism appear to be effective in reducing pain as confidence interval include includes the positive deviation from the mean.

Learn More:

1. Learn more about equation of circle brainly.com/question/1506955

2. Learn more about line segments brainly.com/question/909890  

Answer Details:

Grade: College Statistics

Subject: Mathematics

Chapter: Confidence Interval

Keywords:

Probability, Statistics, Speed dating, Females rating, Confidence interval, t-test, Level of significance , Normal distribution, Central Limit Theorem, t-table, Population mean, Sample mean, Standard deviation, Symmetric, Variance.

7 0
3 years ago
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