1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ivanshal [37]
3 years ago
6

Compute |1-3+5-7+...+13-15|

Mathematics
1 answer:
Allushta [10]3 years ago
4 0

Answer:

8

Step-by-step explanation:

There are a couple different ways you can solve this, but this is generally the quickest way.

Identify a pattern in the problem. We can see that 1-3=-2,  5-7=-2, and so on. Subtracting every two odd numbers (without repeating any numbers) in that problem will always give us the same answer: -2.

So, we see how many pairs of odd numbers there are.

1 and 3,  5 and 7,  9 and 11,  13 and 15. We have <u>four</u> pairs of odd numbers. We can just multiply -2 by 4, which leaves us with an answer of -8.

Finally, since this is also an absolute value equation, the answer will be positive, so the final answer is 8.

You might be interested in
The head librarian at the Library of Congress has asked her assistant for an interval estimate of the mean number of books check
Verdich [7]

Answer:

n=(\frac{1.960(150)}{90})^2 =10.67 \approx 11

So the answer for this case would be n=11 rounded up to the nearest integer

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 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma =150 represent the population standard deviation

n 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)

The confidence interval for this case is given by: (740, 920)

We can find the estimate for the mean and we got:

\bar X = \frac{740+920}{2} = 830

and the margin of error is given by :

ME = \frac{920-740}{2}= 90

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{s}{\sqrt{n}}    (a)

And on this case we have that ME =90 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} s}{ME})^2   (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got z_{\alpha/2}=1.960, replacing into formula (b) we got:

n=(\frac{1.960(150)}{90})^2 =10.67 \approx 11

So the answer for this case would be n=11 rounded up to the nearest integer

5 0
3 years ago
Kendra has a painting canvas that is 22 inches wide by 30 inches high. She painted a red rose, which covered 30% of the canvas.
andrezito [222]
The whole entire canvas area - 660 inches
Area without the rose - 462 inches
3 0
3 years ago
Find the value of x. Then find the measure of each label length.
sweet-ann [11.9K]
Should be somewhere around there either way for 9. the angles are the same because you see the arrows on the parallel lines 8. I'm not quite as sure about

3 0
3 years ago
Read this description of the life cycle of a mushroom. 1. A mushroom begins to grow underground as a single-celled "spore.” 2. T
Dahasolnce [82]

The correct answer is C. The hyphae absorb nutrition and detect when conditions are right to sprout a mushroom above ground.

Explanation:

Two key features of living organisms are energy processing and response to stimuli. These two features imply organisms require nutrients, which can be taken from the environment or created through a process such as photosynthesis and they sense their surroundings and respond to it.

Moreover, these two features are exemplified by mushroom (fungi) in the sentence "The hyphae absorb nutrition and detect when conditions are right to sprout a mushroom above ground" because the first section shows the developing mushroom takes nutrients from the soil or its environment and this is essential for growing and survival. Also, the second section of the sentence shows the developing mushroom can sense its environment and respond by developing only in appropriate conditions.

4 0
3 years ago
Express each of the following in km/h.
ExtremeBDS [4]

Answer:

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • 7⁄8 = ?⁄48<br><br>A.13<br>B.1<br>C:6<br>D:42
    5·2 answers
  • Tia is buying paper cups and plates. cu come in packages of 12, and plates in packages of 10. She wants to buy the same number o
    13·1 answer
  • Why do turtles not have shells equal to pie when their body is completely equal on all sides
    9·1 answer
  • Anyone know how to do this thanks
    15·1 answer
  • How can graphing be applied to solving systems of nonlinear equations?
    7·1 answer
  • Help me out , plzzzzz!!
    12·1 answer
  • Help.................​
    15·1 answer
  • HELP PLEASE <br><br> Need help on this problem
    7·1 answer
  • When solving (5/6)(3/8) what do you get when your<br> multiply the numerators?
    6·2 answers
  • Please help with these questions!!! Having trouble solving them
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!