How does the outlier affect the standard deviation in the following set of data?
9 9 10 10 12 15 16 16 17 17 17 20 23 28
5.32
Removing the outlier lowers the standard deviation by 1.09
No outlier
4.23

Answer:

-7, -27

Step-by-step explanation:

J is at -17. K is 10 units from J.

Start at point J, -17:

a) If you go 10 units to the right, you end up at -17 + 10 = -7

b) If you go 10 units to the left, you end up at -17 - 10 = -27

J can be at -7 or at -27

Answer: -7, -27

Answer:

24.5

Step-by-step explanation:

n0.5=12.25

n/0.5=12.25/0.5

n=24.5

Answer:

12

Step-by-step explanation:

3x - 12 = 24

Add 12 to both sides to make 3x the subject of the equation.

3x - 12 (+12) = 24 (+12)

3x - 0 = 36

3x = 36

Divide both sides by 3.

3x/3 = 36/3

x = 12

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The required solution to the given equation 3x -12 = 24 is x = 12.

Algebraic equations are mathematical statements with a minimum of two terms containing variables or numbers that are equal.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The given equation is given in the question

⇒ 3x - 12 = 24

Add 12 to both sides of the above equation

⇒ 3x - 12 (+12) = 24 (+12)

⇒ 3x - 0 = 36

Apply the subtraction operation,

⇒ 3x = 36

Divide both sides by 3.

⇒ 3x/3 = 36/3

⇒ x = 12

Therefore, the required solution to the given equation 3x -12 = 24 is x = 12.

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Answer:

x = 6

Step-by-step explanation:

For this problem, we simply will isolate the x to find the value of x:

6x + 14 = 7x + 8

6x + -6x + 14 = 7x + -6x + 8

14 = x + 8

14 + -8 = x + 8 + -8

6 = x

Hence, x = 6.

Cheers.

Answer:

x=6

Step-by-step explanation:

First, subtract 6x from both sides to get:

14=x+8

Now, subtract 8 from both sides to get x alone:

6 = x

Answer:

5 units

Step-by-step explanation:

Please see attached pictures for the full solution.

(This distance is the perpendicular distance between the 2 parallel lines, which is the shortest distance between them.)

Answer:

D 21/5

Step-by-step explanation:

edge

Answer:

Step-by-step explanation:

f(x)=x² - 2x + 7

To find f(-3) substitute the value of x that's - 3 into f(x). That is for every x in f (x) replace it with - 3

We have

f(-3) = (-3)² - 2(-3) + 7

= 9 + 6 + 7

We have the final answer as

f(-3) = 22

Hope this helps you

Answer:

2.5

Step-by-step explanation:

4x+1=11

4x=11-1

4x=10

x=10/4

=2.5

Answer:

answer 11/12

hope this helped you

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The value of temperature in Kelvin K which has the value 240 degree in Fahrenheit F is 275 K.

The formula to convert a temperature from Kelvin K to Fahrenheit F is,

[tex]F=95(K-273.15)+32[/tex]

Here, K is Kelvin and F is Fahrenheit.

Solve the formula for K in the following way,

[tex]F=95(K-273.15)+32[/tex]

Subtract 32 both side,

[tex]F-32=95(K-273.15)+32-32\\F-32=95(K-273.15)[/tex]

Divide, with 95, both side of equation,

[tex]\dfrac{F-32}{95}=(K-273.15)\\\dfrac{F-32}{95}=K-273.15\\\dfrac{F-32}{95}+273.15=K[/tex]

This is the solved equation for K.

To convert 240∘ F to Kelvin K, put the value in the formula given in above equation,

[tex]\dfrac{F-32}{95}+273.15=K\\\dfrac{240-32}{95}+273.15=K\\\dfrac{208}{95}+273.15=K\\2.12+273.15=K\\275.27=K\\K\approx 275[/tex]

Thus, the value of temperature in Kelvin K which has the value 240 degree in Fahrenheit F is 275 K.

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Answer:

240°  ≈  388.71K

Step-by-step explanation:

240°  ≈  388.71 K

The value of x for the given equation is -3/2.

The given equation is 5 = -2(x-1).

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Here, 5 = -2(x-1) can be written as 5=-2x + 2.

Now, 5-2=-2x

⇒ 3=-2x

⇒ x=-3/2

Therefore, the value of x for the given equation is -3/2.

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which number is irrational? 25.23 is irrational because 8 is a rational number.

Answer:

None

Step-by-step explanation:

First let's define the meaning of irrational.

It means "no ratio", which is a number that goes on forever without repeating (e.g. pi and the square root of 2)

25.23 is rational and 8 is also rational.

Answer: b=-9

Step-by-step explanation:

To find the y-intercept of the line, we can use the points given to make an equation. To find the slope, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{3-(-6)}{4-1} =\frac{9}{3} =3[/tex]

Now that we know the slope, we can fill in what we know and solve for y-intercept.

y=3x+b

We can plug in any point to solve for y-intercept.

3=3(4)+b                [multiply]

3=12+b                   [subtract both sides by 12]

b=-9

Now, we know that the y-intercept is b=-9.

Answer:

b

Step-by-step explanation:

Answer:

The answer to your question is 8.666666666666.

The total numerical length of the segment JL is 6 units.

Given that,
Point K is online segment JL.
JK = 5x + 7,
JL = 2x + 8, and KL= 4
To determine the numerical length of JL.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
For point K on the line segment JL,
JL = JK + KL
from given,
2x + 8 = 5x + 7 + 4
5x -2x = 8 - 11
3x = -3
x = -1

Now,
JL = 2x + 8
JL = 2 * -1 + 8
JL = 6

Thus, the total numerical length of the segment JL is 6 units.

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Answer:

p = 3

Step-by-step explanation:

9x² - 16 ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b)

Thus

9x² - 16

= (3x)² - 4²

= (3x + 4)(3x - 4)

Compare with (px + t)(px - t)

then p = 3

Answer:

Odd integers are always one more that an even integer:

1st: 2n+1

2nd: 2n+3

Step-by-step explanation:

14n+7 = 10n+15

4n = 8

n = 2

------------

1st: 2n+1 = 5

2nd: 2n+3 = 7

7x=5*(x+2)

7x=5x+10

7x-5x=10

2x=10

x=5

5 and 7 are the two consecutive odd integers such that seven times the first equals five times the second.

Integers are the numbers consisting of whole numbers and the negatives of natural numbers.

Let 2n + 1 and 2n + 3 be the two consecutive odd integers.

We have the relation seven times the first integer equals five times the second.

7 (2n + 1) = 5 (2n + 3)

By distributive property,

(7 × 2n)  + (7 × 1) = (5 × 2n) + (5 × 3)

14n + 7 = 10n + 15

Taking the terms containing unknowns on one side and constants on other side,

14n - 10n = 15 - 7

4n = 8

n = 8 / 4

n = 2

So the first number = 2n + 1 = (2 × 2) + 1 = 5

and the second number = 2n + 3 = (2 × 2) + 3 = 7

Hence the two consecutive odd integers such that seven times the first equals five times the second is 5 and 7.

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[tex]\text{Hi there! :D}[/tex]

[tex]\boxed{\text{There is a horizontal shift of 1 unit left and 5 units down.}}[/tex]

[tex]\text{Recall that the transformations form of a quadratic function is:}\\\\y = \pm a(b(x-h))+k \text{ where:}\\\\a = \text{ vertical stretch/compression}\\\\b = \text{ horizontal stretch/compression}\\\\h = \text{ shift left/right}\\\\k = \text{ shift up/down}\\\\\text{Therefore, in this instance:}\\\\h = -1\\\\k = -5, \text{ so:}\\\\\text{There is a horizontal shift of 1 unit left and 5 units down.}[/tex]

Answer:

4.30m/hr

Step-by-step explanation:

2 feet/8.5 mins is 0.235294118 feet per minute, which is 4.3030553875397 metres per hour, which to 2 s.f. is 4.30

In meters per hour the speed is 470 meters per hour.

We have an object moving at a speed of 2 feet every 8.5 minutes.

We have to express this speed in meters per hour.

1 feet = 3.29 meters

1 hour = 60 minutes → 1 minute = [tex]\frac{1}{60}[/tex] hour = 0.017 hr

According to question - We have :

Speed = 2 feet in 8.5 minutes

We know -

1 feet = 3.29 meters

2 feet = 2 x 3.29 = 6.58 meters

and

1 minute = 0.017 hr

8.5 minutes = 8.5 x 0.017 = 0.14 hr

Now -

In 0.014 hr, distance covered = 6.58 meters

In 1 hr, distance covered will be - [tex]\frac{6.58}{0.014}[/tex] = 470 meters/hour

Hence, in meters per hour the speed is 470 meters per hour.

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Answer:

The answer is x= 19980

Step-by-step explanation:

You do 540 = x/37 ---> then divide by 1/37 on each side and you get --> 19980 = x ---> you can plug it back in and get the right answer. 540 = 19980/37 = --------> 540=540

Answer:

y=-3x+5

Step-by-step explanation:

In the form of y=mx+b

Answer:

It will last 8 days

Step-by-step explanation:

divide 5 1/3 by 2/3

Step-by-step explanation:

X- (-12)=25

X+12=25

X=25-12

X=13

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Answer:

Yes, 1/2 is a irrational number

Step-by-step explanation:

This is the answer because (Google research):

A number is rational if we can write it as a fraction where the numerator and denominator are both integers. However, numbers like 1/2, 46485928/2628242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

Hope this helps!

Answer:

  no

Step-by-step explanation:

Whenever a linear equation is something other than

  y = kx

the relation is not proportional.

__

Here, you have ...

  y = (9/5)x +32

The added constant ensures the relation is not proportional.

Answer:

AB=9.49

Step-by-step explanation:

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Answer:

Answer:

k=135

Step-by-step explanation:

180=45+k

-45 -45

_________

135=k

Answer:

36

Step-by-step explanation:

To find the with divide 102 by 17, we get 6. Then add 6+6+17+17 because we know this is a rectangle and it has 2 with sides and 2 length sides. We get the answer of 36.

Answer:

5/8

Step-by-step explanation:

You need to convert to a simplified fraction by placing the numbers to the right of the decimal over 1000. Then reduce the fraction.