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3 years ago

Joe must choose a number between 67 and 113 that is a multiple of 3 , 5, 6 write all numbers that he could choose

Mathematics

1 answer:

irinina [24]3 years ago

8 0

Answer:

The only number he could choose is 90

Step-by-step explanation:

Simply put, we want to find the numbers between 67 and 113 which are multiples of 3,5 and 6.

Kindly note that, the numbers we will be choosing will be multiples of the three numbers at the same time.

Multiples of 3 here are;

72 , 75 , 78 , 81 , 84 , 87 , 90 , 93 , 96 , 99 , 102 , 105 , 108 , 111

Multiples of 6 here are

72, 78 , 84 , 90 , 96 , 102 , 108

Multiples of 5 here are

70, 75 , 80 , 85 , 90 , 95 , 100 , 105 , 110

So therefore, the only number that works here is the number 90

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Answer:

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Step-by-step explanation:

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2 years ago

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Answer:

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3 years ago

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KonstantinChe [14]

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3 years ago

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36 out of 100 randomly selected taxpayers knew about tax incentives for installing energy-saving furnaces. Find a 90% confidence

tresset_1 [31]

Answer:

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

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 level of $1-\alpha$ , 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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 100, \pi = \frac{36}{60} = 0.6$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.28$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.44$

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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