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Slav-nsk [51]
2 years ago
11

10. The sum of two numbers is 13 more than twice the first number. Their difference is 14 less than the second number. Find each

of the numbers.
Mathematics
1 answer:
Lynna [10]2 years ago
3 0

The sum of two numbers is 13 more than twice the first number:

x + y = 2x +13

x - y = y - 14

solve the system of equations:

x - (x + 13) = (x +13) - 14

x = -12

y = 1

   

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Answer:

  • The equation 2n = p should be 2p = n.
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The wording "onions cost twice as much as potatoes" is understood to mean the cost per pound of onions (n) is equal to two times the cost per pound of potatoes (2p). Then the appropriate equation would be ...

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From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing s
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  • The upper limit is 0.7.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of \frac{1+\alpha}{2}.

60 out of 100 scores are passing scores, hence n = 100, \pi = \frac{60}{100} = 0.6

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So \alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7

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A similar problem is given at brainly.com/question/16807970

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