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Ratling [72]
2 years ago
8

Find five pairs of whole numbers, such that when they are inserted into the equation below, the solution is 3.

Mathematics
1 answer:
Vaselesa [24]2 years ago
3 0

For this case we have, according to the statement, the following equation:

x + y = 3

We must find 5 pairs of integers that meet the equation:

(-1,4)\\-1 + 4 = -1 + 4 = 3

(1,2)\\1 + 2 = 3

(7, -4)\\7 + (- 4) = 7-4 = 3

(3,0)\\3 + 0 = 3

(5, -2)\\5 + (- 2) = 5-2 = 3

Answer:

The pairs of integers can be:

(-1,4)\\(1,2)\\(7, -4)\\(3,0)\\(5,-2)\\

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(x-4)(x-4)= 0

x-4= 0 , x-4= 0

x-4+4= 0+4 , x-4+4= 0

x= 4 , x= 4

Answer is x= 4 (C.)

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3 years ago
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The airplane Li's family will be flying on can seat up to 149 passengers. If 96 passengers are currently on the plane,
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Answer:

A) 96 + x ≤ 149

Step-by-step explanation:

The airplane can hold 149 passengers.

There are already 96 passengers on board.

They can add x additional passengers, as long as they bring the total to no more than 149.

The inequality is

96 + x ≤ 149

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3 years ago
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katrin [286]

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3 0
3 years ago
We are studying the proportion of cities that have private garbage collector. We want a maximum error of 0.10 and a 95% confiden
True [87]

Answer:

The minimum number of cities we need to contact is 96.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

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

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

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

95% confidence interval

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

In this problem, we have that:

p = 0.5, M = 0.1

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

0.1 = 1.96*\sqrt{\frac{0.5*0.5}{n}}

0.1\sqrt{n} = 0.98

\sqrt{n} = 9.8

(\sqrt{n})^{2} = (9.8)^{2}

n = 96

The minimum number of cities we need to contact is 96.

8 0
2 years ago
Help!!<br> With this question <br> Please
Sedbober [7]
<h2>Answer:</h2>

<u>The length is</u><u> 250 meters</u>

<h2>Step-by-step explanation:</h2>

If we look at the left corner of the diagram we see a scale. According to the scale factor of the map

1 cm :1000 cm

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So (25 × 1000) = 25000 cm

Since

1 meter = 100 centimeter

So the actual length of the lap = 25000 ÷ 100 = 250 meters

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3 years ago
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