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anastassius [24]
4 years ago
10

Find the sum without using a number line. -8 1/6+2

Mathematics
1 answer:
Alina [70]4 years ago
6 0

Answer:

Hi there!

Your answer is:

-35/6 OR -5 & 5/6

Step-by-step explanation:

-8 & 1/6

CHANGE TO IMPROPER FRACTION!

(-8*6 +1)/6

-48+1 / 6

-47 / 6

-47/6 + 2/1

CHANGE 2 SO IT HAS THE SAME DENOMINATOR

2/1 * 6/6

12/6

-47/6 + 12/6

-47+12

-35/6

Hope this helps

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Use substitution to solve the<br> following system of equations.<br> 2x + 4y = 12 AND x=y - 3
Kamila [148]

Answer:

The solution is (0, 3)

Step-by-step explanation:

First, reduce 2x + 4y = 12 to x + 2y = 6, for easier calculations.

Next, substitute y - 3 for x in the other equation:

y - 3 + 2y = 6, or

3y = 9

Then y = 3.  Since x = y - 3 in general, x = 3 - 3 = 0 when y = 3.

The solution is (0, 3)

8 0
3 years ago
what is the probability of rolling on a single die a 1,2,3,4,5,6? write as a percent rounded to the nearest whole
Marina86 [1]

Answer:

17%

Step-by-step explanation:  the possibility of rolling any of these numbers is 1/6.. the percentage for that is 16.666% and rounded to the nearest whole number makes the answer 17

5 0
3 years ago
The number of violent crimes committed in a day possesses a distribution with a mean of 2.2 crimes per day and a standard deviat
VARVARA [1.3K]

Answer:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And replacing we got:

\mu_{\bar X}= 2.2

\sigma_{\bar X}= \frac{6}{\sqrt{100}}= 0.6

Step-by-step explanation:

For this case we have the following info given:

\mu = 2.2 represent the mean

\sigma = 6 represent the deviation

We select a sample size of n=100. This sample is >30 so then we can use the central limit theorem. And we want to find the distribution for the sample mean and we know that the distribution is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And replacing we got:

\mu_{\bar X}= 2.2

\sigma_{\bar X}= \frac{6}{\sqrt{100}}= 0.6

6 0
4 years ago
If you punch a wall with a force of 30 N, what force will you feel in your fist??
jasenka [17]

Answer:

30N

Step-by-step explanation:

Normal reaction

6 0
4 years ago
Read 2 more answers
Find the values of the 30th and 90th percentiles of the data. Please show your work.
MaRussiya [10]

Answer:

30th percentile:109

90th percentile: 188

Step-by-step explanation:

The given data set is:

129, 113, 200, 100, 105, 132, 100, 176, 146, 152

We arrange the data set in ascending order to obtain;

Array= 100,100,105,113,129,132,146,176,200

The 30th percentile is located at

(\frac{30}{100}\times 10 )} -th position, where n=10 is the number of items in the data set

This implies that the 30th percentile is at the 3rd position.

Since 3 is an integer, the 30th percentile is the average of the 3rd and 4th occurrence in the array;

This implies that the 30th percentile = \frac{105+113}{2}=\frac{218}{2}=109

The 90th percentile is located at

(\frac{90}{100}\times 10 )} -th position, where n=10 is the number of items in the data set

This implies that the 90th percentile is at the 9th position.

Since 9 is an integer, the 90th percentile is the average of the 9th and 10th occurrence in the array;

This implies that the 90th percentile = \frac{176+200}{2}=\frac{376}{2}=188

6 0
3 years ago
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