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3 years ago

write the inverse and converse for the following statement. If a number is divisible by 2 then it is an even number

Mathematics

1 answer:

rosijanka [135]3 years ago

7 0

If a statement has a hypothesis and a conclusion (i.e. it is in the form "if ... then ...")

The inverse is the statement built negating the hypothesis and the conclusion: "if A then B" becomes "if not A then not B"
The converse is the statement built exchanging hypothesis and conclusion: "if A then B" becomes "if B then A"

So, the inverse of your statement is "if a number is not divisible by 2, then it is an odd number"

The converse of your statement is "if a number is even, then it is divisible by 2".

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What number is between 2/7 and 4/11 <br> CHECK MY ANSWER PLEASE?!?!

-BARSIC- [3]

Yes, that's correct. All you do is add the two numbers together and then divide by 2!

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3 years ago

Will mark brainliest if right. Thank you.

Delicious77 [7]

Answer:

Step-by-step explanation:

sides of triangle are (4+3) and (2+3)

or 7,5

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3 years ago

What are the numbers from least to greatest 6,0,-9,-4.2

Vadim26 [7]

Answer:

(-9), (-4.2), 0, 6

Step-by-step explanation:

Come on

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3 years ago

3(-x -5) i need help on this.

den301095 [7]

Answer:

-3x-15

Step-by-step explanation:

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5 0

2 years ago

Read 2 more answers

We considered the differences between the temperature readings in January 1 of 1968 and 2008 at 51 locations in the continental

mr Goodwill [35]

Answer:

$1.1-2.02\frac{4.9}{\sqrt{50}}=-0.30$

$1.1+2.02\frac{4.9}{\sqrt{50}}=2.50$

So on this case the 90% confidence interval would be given by (-0.30;2.50)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=1.1$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=4.9 represent the sample standard deviation

n=51 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=51-1=50$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,50)".And we see that $t_{\alpha/2}=2.02$

Now we have everything in order to replace into formula (1):

$1.1-2.02\frac{4.9}{\sqrt{50}}=-0.30$

$1.1+2.02\frac{4.9}{\sqrt{50}}=2.50$

So on this case the 90% confidence interval would be given by (-0.30;2.50)

8 0

3 years ago