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3 years ago

Translate to a system of equations and solve.

Mathematics

2 answers:

hoa [83]3 years ago

5 0

Step-by-step explanation:

sksjjd

ksjshdjdeiejo

luda_lava [24]3 years ago

5 0

Answer:

12 and 15

Step-by-step explanation:

Let the numbers be called x and y. We know from the first sentence that:

x + y = 27.

From the second sentence we know that x + 3 = y. (In this problem it does not matter which is x and which is y.)

Substituting in x + 3 into the first equation, we have

x + x + 3 = 27

2x + 3 = 27

2x + 3 - 3 = 27 - 3

2x = 24

x = 12

y = x+ 3 = 15

Check: does x + y = 27? Yes, 12 + 15 = 27

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Step-by-step explanation:

The confidence interval for difference of two population mean is given by :-

$\overline{x}_1-\overline{x}_2\pm z_{\alpha/2}\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2}}$

Given : Level of significance : $1-\alpha:0.99$

Then , significance level : $\alpha: 1-0.99=0.01$

Critical value : $z_{\alpha/2}=z_{0.005}=2.576$

$n_1=30\ ;\ n_2=50\\\\\overline{x}_1=46.7\ ;\ \overline{x}_2=13.3\\\\s_1=9.2\ ;\ s_2=1.9$

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Hence, a 99% confidence interval for the difference between the mean wait times of everyone who rode both rides $(29,\ 37.8)$

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