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3 years ago

The larger of two numbers is 1 less than 3 times the smaller. If 3 times the larger is 5 more

Mathematics

1 answer:

AleksAgata [21]3 years ago

5 0

Answer:

Smaller = x

Larger = 3x -1

Remember "is" is the keyword for equals in a word problem.

3(3x -1) = 5 + 8x

9x - 3 = 5 + 8x

x = 8 smaller

larger = 23

Step-by-step explanation:

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Which graph represents the following system of inequalities? y ≥ 2x - 5 y < -3x

ICE Princess25 [194]

Answer:

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3 years ago

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Sonja [21]

Answer:

Step-by-step explanation:

Given that;

Compressed Soil 2.85 2.66 3 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16

Intermediate Soil 3.17 3.37 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26

Compressed soil intermediate soil

Mean 2.907 3.286

SD 0.1414 0.2377

Here we have,

$\bar x_1 =3.286\\ \bar x_2 =2.907\\s_1 =0.2377\\ s_2 =0.1414\\n_1=19\\n_2=20$

The pooled Standard deviation

$s_p=\sqrt{\frac{(n_1-1)s_1^2(n_2-1)s_2^2}{n_1+n_2-2} } \\\\=0.1943$

So standard error for difference in population mean is

$s_{\bar x_1 - \bar x_2} = \sqrt{\frac{s_p^2}{n_1}+\frac{s_p^2}{n_2} } \\\\=0.0623$

by inputting the values we get 0.0623

Degree of freedom for t is

df = 19 + 20 - 2 = 37,

so t-critical value is 2.715.

So required confidence interval for

$\mu_{1} - \mu_{2}$ will be

$( \bar x_1 - \bar x_2) \pm t_{critical}*s_{\bar x_1 - \bar x_2}$

$=0.3793 \pm2.715*0.063\\\\=0.3793\pm0.1690$

So required confidence interval is (0.2103 , 0.5483).

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3 years ago

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3 years ago

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4 years ago

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VladimirAG [237]

Answer:

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Step-by-step explanation:

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3 years ago