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WARRIOR [948]
2 years ago
5

How could you add -13 + 10? A Add 13 + 10, and keep the negative sign from the -13. B Add 13 + 10, and keep the positive sign fr

om the 10. C Subtract 13 - 10, and keep the negative sign from the -13. D Subtract 13 - 10, and keep the positive sign from the 10.
Mathematics
1 answer:
Vinvika [58]2 years ago
7 0
Answer is C

Explanation-
Here’s an easier way to add negative numbers. Unlike adding positive numbers and positive numbers together and getting a larger positive number, do the opposite of what the symbol is telling you.

For example:
-12 + 9 = -4

Instead of adding, I subtract 12 and 9 to get to 4 but the reasons the four is a negative is because any number from 0 to any higher value is always considered a negative.
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Find the smallest integer n for an O(xn) estimate of order of the function f(x)
alexdok [17]

Answer with explanation:

f(x)=\frac{(x^3+x^2+5)(x^4-3x^2)}{(2x^2+2x-3)(4x^2+7)}\\\\f(x)=\frac{x^3\times (x^4-3x^2)+x^2 \times (x^4-3x^2)+5 \times (x^4-3x^2)}{2x^2\times (4x^2+7)+2x(4x^2+7)-3\times (4x^2+7)}\\\\f(x)=\frac{x^7-3x^5+x^6-3x^4+5x^4-15x^2}{8x^4+14x^2+8x^3+14 x-12x^2-21}\\\\f(x)=\frac{x^7+x^6-3x^5+2x^4-15x^2}{8x^4+8x^3+2x^2+14 x-21}

The largest degree of numerator is 7 , while the largest degree of denominator is 4.So, as we know

 \frac{x^a}{x^b}=x^{a-b}\\\\\frac{x^7}{x^4}=x^{7-4}\\\\=x^3

→So, order of the function is the highest degree in the function raised to power.Highest degree is 3,when you will reduce the function in Expression form.

So, Degree=3

Order=1

6 0
3 years ago
Simplify 5(x + 3) - 9x+4.<br>O A. 14x+7<br>O B.-4x+19<br>O C. 14x+19<br>D. -4x+7​
Julli [10]

Answer:

B

Step-by-step explanation:

distribute

5x+15-9x+4

combine like terms

-4x+19

8 0
3 years ago
Read 2 more answers
9-c=-13<br> What’s the answer
trapecia [35]
First you do -13+9. That equals -4.
Then bring down -c=-4 because there is a 1 in front of the c so -1c.
Next divide both sides by -1. The -c side cancels out so then your left with -4/-1.
That equals positive 4.
C=4
That’s ur answer.
7 0
3 years ago
28 &lt; 4v <br> solve for v <br> pls help
DedPeter [7]

Answer:

v = 7

Step-by-step explanation:

Divide both sides by 4 to isolate v

28/4 = 4v/4

v = 7

5 0
2 years ago
The mean annual income for people in a certain city is 37 thousand dollars, with a standard deviation of 28 thousand dollars. A
Aloiza [94]

Answer:

P( 31 < \bar X< 41)

And we can ue the z score formula given by:

z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And using this formula we got for the limits:

z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515

z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01

So we want to find this probability:

P(-1.515

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the annual income of a population, and for this case we know the following info:

\mu=37 and \sigma=28  and we are omitting the zeros from the thousand to simplify calculations

We select a sample size of n=50>30.

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

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

And we want to find this probability:

P( 31 < \bar X< 41)

And we can ue the z score formula given by:

z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And using this formula we got for the limits:

z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515

z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01

So we want to find this probability:

P(-1.515

4 0
3 years ago
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