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3 years ago

The sum of two numbers is 139 and the difference is 53. Explain how to find the two numbers.

Mathematics

1 answer:

Airida [17]3 years ago

5 0

Answer:

43 & 96

Step-by-step explanation:

x=one number

y=other number

x+y=139

x-y=53 x=y+53

substitute for x

y+53+y=139

reduce

2y+53-53=139-53

2y=86

2y/2=86/2

y=43

x=96

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vesna_86 [32]

Answer:

The number of people needed is $n =684$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.65$

The margin of error is $E = 0.03$

From the question we are told the confidence level is 90% , hence the level of significance is

$\alpha = (100 - 90 ) \%$

=> $\alpha = 0.10$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the sample size is mathematically represented as

$n =[ \frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * p(1-p)$

=> $n =[ \frac{1.645 }{0.03} ]^2 * 0.65(1-0.65)$

=> $n =684$

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zavuch27 [327]

If you would like to calculate 57 divided by 8, you can do this using the following steps:

57 divided by 8:
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The correct result would be 7 1/8 or 7.125.

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