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3 years ago

Find two consecutive odd integers such that their product is 59 more than 2 times their sum

Mathematics

1 answer:

svetlana [45]3 years ago

8 0

Let n and n+2 be the integers. Then:
n(n+2)-59=2(n+n+2)
n²+2n-59-4n-4=0
n²-2n-63=0
(n-9)(n+7)=0
n=9 or -7
n+2=11 or -5

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Using traditional methods it takes 92 hours to receive an advanced flying license. A new training technique using Computer Aided

DanielleElmas [232]

Answer:

The value of the test statistic is z = 1.39.

The p-value of the test is 0.0823 > 0.05, which means that there is not evidence at the 0.05 level that the technique lengthens the training time.

Step-by-step explanation:

Using traditional methods it takes 92 hours to receive an advanced flying license.

This means that at the null hypothesis, it is tested if the mean is of 92, that is:

$H_0: \mu = 92$

Test if there is evidence that the technique lengthens the training time

At the alternative hypothesis, it is tested if the mean is more than 92, that is:

$H_1: \mu > 92$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

92 is tested at the null hypothesis:

This means that $\mu = 92$

A researcher used the technique on 70 students and observed that they had a mean of 93 hours. Assume the population variance is known to be 36.

This means that $n = 70, X = 93, \sigma = \sqrt{36} = 6$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{93 - 92}{\frac{6}{\sqrt{70}}}$

$z = 1.39$

The value of the test statistic is z = 1.39.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 93, which is 1 subtracted by the p-value of z = 1.39.

Looking at the z-table, z = 1.39 has a p-value of 0.9177.

1 - 0.9177 = 0.0823.

The p-value of the test is 0.0823 > 0.05, which means that there is not evidence at the 0.05 level that the technique lengthens the training time.

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3 years ago

Martha puts $240 in a savings account that earns 2% interest. if she leaves her money in the account for 5 years, how much simpl

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Answer:

The final balance is $265.24.

The total compound interest is $25.24.

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2 years ago

What would my answer be?

Svetllana [295]

Since triangle is isosceles, that means that unknown angles are equal. 180-72=108
108:2=54
So you’re answer would be: 54 degrees.

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3 years ago

Please find this answer

Semenov [28]

Answer: I cant see the picture so I cant help sorry

Step-by-step explanation:

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on june 1, $40,000 of treasury bonds were purchased between interest dates. the broker commission was $600. the bonds pay intere

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Given:
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