solve for x: 2(x+2)-4x+8

In a normal distribution, 95% of the data falls within two standard deviations.

What is a normal distribution?

The most typical distribution function for independent, randomly produced data is the normal distribution, commonly known as the Gaussian distribution. Every statistical report uses this well-known bell-shaped curve, from survey analysis and quality control to resource allocation.

Here,

We have to determine in a normal distribution, 95% of the data fall within how many standard deviations of the mean.

We concluded that 95% of the data points will fall within two standard deviations of the mean. 99.7% of the data points will fall within three standard deviations of the mean.

Hence, In a normal distribution, 95% of the data falls within two standard deviations.

To learn more about the normal distribution from the given link

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Answer:

1) 50

2) -18

Step-by-step explanation:

2) what I did was subtract -34 from -16

The distance between -34 and 16 as requested is; 50

The distance between two points, x and y on the number line is the absolute value of their difference.

Distance = | x -y |

In this scenario; the distance between -34 and 16 is therefore;

Distance = | -34 - 16|

Distance = | -50 |

In essence, Distance = 50.

Read more;

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Answer:

Step-by-step explanation:

[tex]P = \frac{x}{n}[/tex]

Cross Multiply

[tex]P\times n = x\\\\Pn = x\\\\x =Pn[/tex]

Answer:

3(3x + 5)

Step-by-step explanation:

x + 8x + 15              Combine liked terms

9x + 15

GCF: 3

3(3x +5)                   Factor

Answer:

The answer is B

Step-by-step explanation:

hope this helps

Answer:

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that is hard but the answer is 1,256 I think that is right

Answer:

1. 3. 6.

Step-by-step explanation:

Answer:

There is exactly one output for each input.

The graph of a linear function is a straight line.

A linear function has a constant rate of change.

Step-by-step explanation:

Answer:

x = 40

Step-by-step explanation:

2/5x + 1/4x = 26

~Find common denominators

8/20x + 5/20x = 26

~Combine like terms

13/20x = 26

~Multiply 20/13 to both sides

x = 40

Best of Luck!

Answer:

Caleb will run 237 ft

Step-by-step explanation:

Answer:

Caleb will run 220 ft.

Step-by-step explanation:

70 * pi = 220 ft

Step-by-step explanation:

Given parameters:

Perimeter of triangle  = 69cm;

Unknown:

Length of each side  = ?

Solution:

   Side a is 5cm shorter than side b;

         b  = a + 5  ----- i

   Side c is 5 more than twice side b;

          c = 2b + 5

The three sides of triangle are a, b and c;

  Perimeter is the sum of sides of a body;

      a + b + c  = 69

From i;

        a  = b - 5

        b

       c  = 2b + 5

so;

          b - 5 + b + 2b + 5  = 69

           4b = 69

            b  = 17.25cm

a  = b -5  = 17.25 - 5 = 12.25cm

c = 2(17.25) + 5  = 39.5cm

Answer:

1. 8x^3+6x^2+7

Step-by-step explanation:

Answer:

312500

Step-by-step explanation:

I believe the pattern is x5 x-5 x5 x-5 and if you follow that pattern, you get 312500. im sorry if im wrong

Answer:

-2 X3

Step-by-step explanation:

Answer:

7,481,624

Step-by-step explanation:

Answer:

7.48 x10^6

Step-by-step explanation:

Answer:

so all you do is cross flip and multiply  

Step-by-step explanation:

what that means is you flip the fraction on the right and then cross multiply the two fractions

I hope this helps

Answer:

ok so

lets say

1 2/4 divided by 1/3

okay so first you change the 1 2/4 into a improper fraction

1 2/4 = 6/4

okay then you find a common denominator for both of them so you multiply 6 and 4 times 3 and you multiply 1 and 3 times 4

so the question is now

18/12 divided by 4/12

then you divide the numerator by numerator and the denominator stays the same

heres another way:

you change the number to improper if not already

18/12 divided by 4/12

and then you switch the 4 and the 12 around so its now

18/12 divided by 12/4 and then u change the divide sign into a multiply sign which is

18/12 times 12/4 and then u multiply the numerator by numerator and denominator by denominator

sorry if this is confusing, im bad at explaining >_<

Answer:

42

Step-by-step explanation:

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Answer:

105.m3

Step-by-step explanation:

Answer:

I think it's B.

Step-by-step explanation:

Hope that helped! Have a great rest of your day!

Answer: 1000

Step-by-step explanation:

Answer:

1000

Is the answer I think

Answer:

(1) 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.

(2) 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.

(3) 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.

Step-by-step explanation:

(1) Let be [tex]n \in \mathbb{Z}[/tex], such that:

[tex]n + (n+1) < 1000[/tex]

[tex]2\cdot n +1 < 1000[/tex] (Eq. 1)

Then we solve the inequation by algebraic means:

[tex]2\cdot n < 999[/tex]

[tex]n < \frac{999}{2}[/tex]

[tex]n < 499.5[/tex]

Which means that greatest value of [tex]n[/tex] is 499. In consequence, 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.

(2) Let be [tex]n \in \mathbb{Z}[/tex], such that:

[tex]n+(n+1)+(n+2) < 1000[/tex]

[tex]3\cdot n + 3 < 1000[/tex] (Eq. 2)

Then we solve the inequation by algebraic means:

[tex]3\cdot n < 997[/tex]

[tex]n < \frac{997}{3}[/tex]

[tex]n < 332.333[/tex]

Which means that greatest value of [tex]n[/tex] is 332. In consequence, 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.

(3) Let be [tex]n \in \mathbb{Z}[/tex], such that:

[tex]n +(n+1)+(n+2)+(n+3)+(n+4) < 1000[/tex]

[tex]5\cdot n + 10 < 1000[/tex] (Eq. 3)

Then we solve the inequation by algebraic means:

[tex]5\cdot n <990[/tex]

[tex]n < \frac{990}{5}[/tex]

[tex]n < 198[/tex]

Which means that greatest value of [tex]n[/tex] is 197. In consequence, 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.

Answer:

3k or 3000

Step-by-step explanation:

Ask yourself this: "Is 3148 closer to 3000, or is it closer to 4000?"

The answer is 3000 since 3148-3000 = 148 while 4000-3148 = 852

Put another way, we round 3148 to 3000 since the next digit after the thousands place is not a 5 or larger. So we just drop the 148 and replace those digits with 0s.

Answer:

1. isosceles and acute

2. Scalene and acute

3. Equilateral and equiangular

4. Right (and isosceles ?)

(not sure ab isosceles for the last one but everything else is fine)

:)

Step-by-step explanation:

1 is the starting point since it is on the the axis.

then you would use the rise over run method to get the fraction. it rises by two and runs by 1 which would get you 2/1. so the answer should be y=1+2/1

(it is an addition sign since it is a positive slope)

I- I'm speechless

Do you even have a question-

Answer:

27

Step-by-step explanation:

6/10=12/20 because when you cross multiply, 120=120, so then you can do wither 6/10=x/45 and when you cross multiply you get 270=10x and 270/10=27.