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pochemuha
3 years ago
14

The opposite of

Mathematics
1 answer:
blondinia [14]3 years ago
3 0

Answer:

False.

Step-by-step explanation:

Integers are numbers in this set:

{...,-3,-2,-1,0,1,2,3,...}

The opposite of a number is you just changing the sign of that number. Unless you are asking for the opposite of 0 which is just 0.

Example: The opposite of 5 is -5.

Example: The opposite of -5 is 5.

So the opposite of an integer does not always mean the result will be negative. As you seen above, it could be 0, positive, or negative.

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Square root of 1536 with divison method
11111nata11111 [884]

Answer:

39.191835884531

this is the square root

3 0
3 years ago
A company makes windows for use in homes and commercial buildings. The standards for glass thickness call for the glass to avera
guajiro [1.7K]

The question is incomplete. The complete question follows.

A company makes windows for use in homes and commercial builidings. The standards for glass thickness call for the glass to average 0.325 inch with a standard deviation equal to 0.065 inch. Suppose a random sample of n=44 windows yield a sample mean of 0.337 inch. Complete parts a and b.

a. What is the probability of x ≥ 0.337 if the windows meet the standards?

b. Based on your answer to part a, what would you conclude about the population of windows? Is it meeting the standards? (A result is unusual if it has a probability less than 0.05)

Answer and Step-by-step explanation: To answer this question, use <u><em>Central Limit Theorem</em></u>: it states regardless of the original population distribution, if the sample size is large enough, the sample mean distribution will approach a normal distribution.

The calculations for the CLT is given by normalizing the distribution, i.e.:

z=\frac{x-\mu}{\sigma/\sqrt{n} }

where

z is z-score

x is the sample mean

μ is population mean

σ is standard deviation of the population

n is the number of individuals in the sample

Calculating z-score for the window maker company:

z=\frac{0.337-0.325}{0.065/\sqrt{44} }

z=\frac{0.012}{0.0098}

z = 1.22

Using the z-score table, we found the probability:

P = 0.8888

As it is a "more than situation":

P(x≥0.337) = 1 - 0.8888

P(x≥0.337) = 0.1112  or 11.12%

a. Probability of x≥0.337 if the windows meet the standards is 11.12%.

b. Comparing results, probability of x≥0.337 is bigger than 0.05:

0.1112 > 0.05

So, we can conclude that the random sample of n=44 is meeting the standards estipulated.

7 0
3 years ago
2x + 8 = -4 solve for c<br> Show work please
andrew-mc [135]

Answer: x=-6

Step-by-step explanation:

Given

2x + 8 = -4

Subtract 8 on both sides

2x + 8 - 8 = -4 - 8

2x = -12

Divide 2 on both sides

2x / 2 = -12 / 2

x = -6

NOTE: I assume the questions "solve for c" actually means "solve for x"

Hope this helps!! :)

Please let me know if you have any questions

7 0
2 years ago
Which is the graph of f(x) = x2 – 2x + 3?
BaLLatris [955]

Answer:

Step-by-step explanation:

We cannot factor this function out which tells us that there are no zeros. The graph backs this up because we can see that there are none. The easiest way to graph this would start by plugging in points and making a table for yourself.

Lets start by plugging in -1.

(-1)^2-2(-1)+3 =6, this means we have a point at (-1,6).

Now lets plug in 0.

(0)^2-2(0)+3= 3 (0,3)

For plugging in 1

(1)^2-2(1)+3=2 (1,2) (this happens to be the vertex)

And lastly lets plug in 2

(2)^2-2(2)+3=3 (2,3)

Depending on how many points are needed, keep plugging in numbers like we did above.

7 0
3 years ago
What is the lcm of 6and 15
Maurinko [17]
LCM stands for least common multiple. We are being asked to find the lowest multiple that 6 and 15 have in common.

Multiples of a number (n) are integers that are the product of n and another number. Let's list the multiples of both 6 and 15:

6: 6, 12, 18, 24, 30, 36

15: 15, 30, 45, 60, 75, 90

The LCM of 6 and 15 is 30.
5 0
3 years ago
Read 2 more answers
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