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3 years ago

Suppose the sum of two integers is negative. Must both integers be negative? Explain.

Mathematics

1 answer:

mash [69]3 years ago

8 0

Answer:

Not necessarily. There are many ways to write a basic equation with a negative answer. For example, -3-4 = -7. Here 4 is a positive number but because you subtract 4 to 3 or take away 4 from 3 being a negative number and so you get a negative answer. Another example is 6+(-9). There are a couple of ways you can resolve this. My method is to subtract 9 from 6 which gives you 3 and simply add a negative sign.

Let me know if you'd like more examples. Hope this helps!! Sorry if it is confusing I can explain you in a more simpler way if you'd like.

Step-by-step explanation:

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According to the U.S. Bureau of the Census, the average age of brides marrying for the first time is 23.9 years with a populatio

JulsSmile [24]

Answer:

We conclude that young women are delaying marriage and marrying at a later age.

Step-by-step explanation:

We are given that the average age of brides marrying for the first time is 23.9 years with a population standard deviation of 4.2 years.

The sociologist randomly samples 100 marriage records and determines the average age of the first time brides is 24.9 years.

Let $\mu$ = average age of brides marrying for the first time.

So, Null Hypothesis, $H_0$ : $\mu$ = 23.9 years {means that young women are not delaying marriage and marrying at a later age}

Alternate Hypothesis, $H_A$ : $\mu$ > 23.9 years {means that young women are delaying marriage and marrying at a later age}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average age of the first time brides = 24.9 years

$\sigma$ = population standard deviation = 4.2 years

n = sample of marriage records = 100

So, the test statistics = $\frac{24.9-23.9}{\frac{4.2}{\sqrt{100} } }$

= 2.381

The value of z test statistics is 2.381.

Now, at 1% significance level the z table gives critical value of and 2.326 for right-tailed test.

Since our test statistic is more than the critical value of z as 2.381 > 2.326, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that young women are delaying marriage and marrying at a later age.

5 0

3 years ago

16 + (22a + a) = 16 + (a + 22)

mario62 [17]

Answer:

a = 1.

Step-by-step explanation:

i guess you want to solve for a:

16 + (22a + a) = 16 + (a + 22)

16 + 23a = 38 + a

22a = 38 - 16 = 22.

a = 1.

8 0

3 years ago

Cheryl regularly checks her bank account balance online. Yesterday her account balance was $67.12. Today the balance is -$2.56.

AURORKA [14]

Just by simply adding the two quantities you can get the net change. $67.12 +(addition sign because we want the net change) $2.56= $69.68. The last number is the net change!

8 0

3 years ago

The statement “cot theta= 12/5, sec theta, and the terminal point determined by theta is in quadrant 2.”

PIT_PIT [208]

Answer: cannot be true because cot∅ is less than zero in quadrant 2.

Step-by-step explanation:

Apex trigonometry answer

7 0

3 years ago

Read 2 more answers

The sum of two consecutive odd integers is 256. What is the value of the larger integer?

Igoryamba

Answer:

Step-by-step explanation:

Answer:

The greatest of the integers is 129 (C).

Step-by-step explanation:

Let x be the first integer.

x + (x + 2) = 256

2x + 2 = 256

2x = 254

x = 127

127 + 129 = 256

6 0

3 years ago