Challenge. Add a number to the original data set based on the instructions below:
Original data set:
3, 10, 8, 3, 10, 1, 10,
A)
Fill in the blank with a number that would make the range of the data set 20.
3, 10, 8, 3, 10, 1, 10,
B)
Fill in the blank with a number that would make the mean of the data set 15.
3, 10, 8, 3, 10, 1, 10,
C)
Fill in the blank with a number that would make the standard deviation smaller.
3, 10, 8, 3, 10, 1, 10,

Answers

Answer 1

Answer:

A) 23

B) 75

C) 6.30

Step-by-step explanation:

A) Range = highest value - least value

Range = 20

least value = 3

Thus,

20 = highest value - 3

highest value = 20 + 3

                      = 23

The number that would make the range of the data set 20 is 23.

B) Let the number be represented by x, so that;

15 = [tex]\frac{3 + 10 + 8 + 3 + 10 + 1 + 10 + x}{8}[/tex]

cross multiply to have

15 x 8 = 45 + x

120 - 45 = x

x = 75

The number that would make the mean of the data set 15 is 75.

C) The given data plus a number that is close to the mean would reduce the standard deviation.

mean of the data set = [tex]\frac{3+10+8+3+10+1+10}{7}[/tex]

                                   = 6.43

The required number could be 6.30


Related Questions

If K(5,-2) is rotated 90°, what will be the coordinates of its image?
K (2,5)
K'(-2,-5)
K (2,-5)

Answers

Answer:

I think it is k(2,5) or k'(-2, -5

Step-by-step explanation:

Hope This Helps Have A Good Day

70% sure that it is K(2,5)

the answer is K'(-2,-5) if it is rotated 90 clockwise, but if it's anti-clockwise it will be K'(5,2)

Which one is it?
a) <
b) =
c) >

Answers

Answer:

B) =

Step-by-step explanation:

When you calculate the equation on the left (32 + 4 = 36) then the one on the right (6 × 6 = 36), and they will be both be equal.

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Have a great summer :)

A bag contains three red marbles and two blue marbles.

(1.) What is the probability of reaching in and pulling out a red marble?

(2.) Chloe reaches in the bag, pulls out a marble, puts it back in the bag, and pulls out another marble. What is the probability that both marbles are blue?

(3.) Chloe reaches in the bag, pulls out a marble, does NOT put it back in the bag, then pulls out another marble. What is the probability that both marbles are blue?
Thank you

Answers

Answer:

1. 3/5

2. 2/5

3. 1/5

Step-by-step explanation:

I'm pretty sure this is the answer :)

1. 3/5
2. 2/5
3. 1/5
I hope this helps!

The points (4,1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x? A. X = -3 B. X = 3 C. X = 9 D. X = 11

Answers

Answer:

Step-by-step explanation:

Use the slope formula here along with the fact that the slope is equal to 1:

[tex]1=\frac{-6-1}{x-4}[/tex] and

[tex]1=\frac{-7}{x-4}[/tex]  and cross multiply to get x - 4 = -7 so

x = -3

P(x)=1−2x2+3x+2x5 what type of polynomial is this?

Answers

There is only one x with no powers
P(x) = 3x + 7 a linear function

Find the segment of the line segment

Answers

Answer:

(1,3)

Hope this helps! :)

The midpoint is (1,3)
The slope is 2/8, divide that by 2, 1/4. so to find the midpoint, go to the left point, move one up, 4 right. Or from the right point, move one down, 4 left.

Evaluate 5(x-1)-2when x=3

Answers

Answer:

3

Step-by-step explanation:

5(x-1)-2

5(2-1)-2

5×1-2

5-2

3

Hope this helps you :)

please mark brainliest

5(x-1)-2
5(3-1)-2
5(2)-2
10-2
8

Help
Help
Help
Help
Help
Help

Answers

Answer:

105˚, 75˚

Step-by-step explanation:

<2 is 75˚ by same side angles of a transversal.

<1 is supplementary to <2 so 180-75 = 105˚

What is the common ratio for the sequence 1, 4, 16, 64,...?
1/4
1/2
2
4​

Answers

Answer:

4

Step-by-step explanation:

each term is 4 times the previous term

the common ration is 4

Answer:

r = 4

Step-by-step explanation:

The common ratio r of the geometric sequence is calculated as

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{4}{1}[/tex] = 4

Given line t passes through (0,-5) and (-1,3) and liner passes through (-4,3) and (4,2).
Are the lines parallel, perpendicular or neither? Show all work to justify your
response.

Answers

Answer:

neither

Step-by-step explanation:

Slope of the first line: (y2 -y1)/(x2-x1) = (3-(-5)/-1 = 8/-1 = -8

Slope of the second line: (2-3)/4-(-4) = -1/8

They are neither parallel nor perpendicular. In fact the two lines have different slope so they can’t be parallel. In addition the product of their slope is not -1, so they can’t be perpendicular,

ok pls pls help !!!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

everything can be found in the picture

find the points on the y-axis, each of which is at a distance of 13 units from the point (-5,7)​

Answers

Answer:

The answer is (0,19) or (0,-5).

By distance formula,

after squaring on both sides we and solving we get,

so, y=19 or -5

Step-by-step explanation:

you get the idea, but i don't think this is the answer yet?

Given this number line, ab=

Answers

Answer:

3

Step-by-step explanation:

7 -4 = 3

what is 2/3 of 4 hours and 30 minutes?

Answers

The answer is 3 hours

what is the difference between the domain and the range of a function?

Answers

Answer:

The domain is all the x values of a function while the range is all the y values of a function.

Answer:

Step-by-step explanation:

The domain of a function is the set of input (x-) values for which the function is defined.  The range is the set of output (y-) values; often there are limitations.

For example, the sine function y = sin x is defined for all real x; for every input x, there is a corresponding output y.  The sine function has a limited range in that the minimum value of the sine is -1 and the max is +1.  There is no graph above y = -1 or below y = +1.

Engineers speculate that W, the amount of weight (in units of 1000 pounds) that a certain span of a bridge can withstand without structural damage resulting, is normally distributed with mean 400 and standard deviation 40. Suppose that the weight (again, in units of 1000 pounds) of a car is a random variable with mean 3 and standard deviation.3. Approximately how many cars would have to be on the bridge span for the probability of structural damage to exceed .1?
A. 106
B. 123
C. 120
D. 115
E. 117

Answers

Answer:

n = 116.2 ≈ 117  

Option E) 117 is the correct answer.

Step-by-step explanation:

Given the data in the question;

Exceed = 0.1

{ 1 - 0.1 = 0.9 }

normal table value at 0.9 = - 1.285

Normal table;

hence

( y - 400 ) / 40 = -1.285

y - 400  = -51.4

y = 400 - 51.4

y = 348.6

so,

348.6 = ∈(y) = ∈[ ⁿ∑[tex]_{i=1[/tex] X[tex]_i[/tex] ]

348.6 = n.∈( X[tex]_i[/tex]  )

we substitute

348.6 = n × 3

n = 348.6 / 3

n = 116.2 ≈ 117  { roundup since we talking of number of cars i.e sample size }

Option E) 117 is the correct answer.

Quadrilateral ABCD is inscribed in a circle. If angle B measures 112°, what is the measure of angle D?

Answers

Answer:

68°

Step-by-step explanation:

If a quadrilateral is inscribed in a cirle, the sum of its opposite angles is 180°. Angles B and D are opposite => B+D=180° => D=180°-B=180°-112°=68°

Answer:

68°

Step-by-step explanation:

Since angles B and D are opposite each other, they are supplementary.

PLEASE HELP! Math (recursive sequences)

Answers

Answer:

a₄ = 123

Step-by-step explanation:

a₁ = 1

a₂ = (1)² + 2

a₂ = 3

a₃ = (3)² + 2

a₃ = 11

a₄ = (11)² + 2

a₄ = 123

Escribe el nombre de algún tipo de ángulo que se forma "Entre Dos rectas Paralelas y una Secante"

Answers

Answer:

We see that opposite angles are two angles between two secant lines (“secant lines” simply means two lines that cross each other) that share a vertex (that is why they are called “vertical” angles). We see also that they are not adjacent (which means next to each other) but opposite each other.

Step-by-step explanation:

Vemos que los ángulos opuestos son dos ángulos entre dos líneas secantes (“líneas secantes” simplemente significa dos líneas que se cruzan) que comparten un vértice (por eso se llaman ángulos “verticales”). También vemos que no son adyacentes (lo que significa uno al lado del otro) sino uno frente al otro.

Determine the value for x in the picture below.

Answers

Answer:

x=9

Step-by-step explanation:

Similar triangles

8/20 = 6/(x+6)

==> 2/5 = 6/(x+6)

2/5x+12/5=6

2/5x=18/5

x=9

Answer is x = 6
I hope that helps

how do i solve this equation again?? its y=mx+b

Answers

Answer:

4

Step-by-step explanation:

add 3 to 13

then divide 16 by 4 that gives you your final answer of 4

Calcula el volumen. Largo: 50cm Largo: 35cm Largo: 40cm Ancho: 30cm Ancho: 20cm Ancho: 60cm Alto: 20cm Alto: 50cm Alto: 30cm Volumen: ___________ Volumen:______ Volumen:_______

Answers

Answer:

Volumen A = 30000 cm³

Volumen B = 35000 cm³

Volumen C = 72000 cm³

Step-by-step explanation:

a) Volumen A

Largo = 50 cm, Ancho = 30 cm Alto = 20 cm

Volumen = Largo × Ancho × Alto

= 50 cm × 30 cm × 20 cm

= 30000 cm³

b) Volumen B

Largo = 35 cm, Ancho = 20 cm Alto = 50 cm

Volumen = Largo × Ancho × Alto

= 35 cm × 20 cm × 50 cm

= 35000 cm³

c) Volumen C

Largo = 40 cm, Ancho = 60 cm Alto = 30 cm

Volumen = Largo × Ancho × Alto

= 40 cm × 60 cm × 30 cm

= 72000 cm³

A parallelogram has an area of 300 square kilometers and a height of 20 kilometers. What is the length of the base?

Answers

Answer: the length of the base is 15 kilometers.

Step-by-step explanation:

formula : Area of parrallelogram  = Length of base x height

Given: Area of parallelogram = 300 square kilometers

height = 20 kilometers

Substituting values in the formula , we get

300 = Length of base x 20

Length of base  = [tex]\frac{300}{20}[/tex]

= 15 kilometers

Hence, the length of the base is 15 kilometers.

https://imgur.com/a/n3PRcMY

Answers

Step-by-step explanation:

hakdogg happyly ever after

bill changes £450 from his bank to $729 what exchange rate did he get?

Answers

Answer:

$1.62

Step-by-step explanation:

Tina is making a cylindrical sandbox that has a radius of 2 feet. She brought 18.84 cubic feet of the sand for the sandbox.

Answers

The answer is 1.5 ft

I just took the test

PLEASE SOMEONE HELP ME I WILL GIVE BRAINLIEST

Answers

20 a: x = 5

20 b: x = 12

17 c: 30

help guys pls i beg u cannot do the math this so hard someone help ☺️☺️☺️☺️☺️☺️☺️☺️

Answers

200= 13.5xV+65
200 because that’s what she needs to equal. Then multiple 13.5 by V because you are accounting for how many times she visits and how many points she will get per visit. Then you add 65 because she already has that amount from signing up.
V >= (200 - 65) / 13.5
V >= 10

A backpack that normally sells for $40 is on sale for $38. Find the percent of increase or decrease. *20 POINTS* (PLS SHOW WORK)

Answers

Answer:mj,bhvb n

mnbnmb mbnmbnb

Step-by-step explanation:

Solve the equation
3/4x+3-2x= -1/4+1/2x+5
Please help I have tried everything and I haven’t gotten the right answer and it won’t let me move on

Answers

3/4x + 3 - 2x = -1/4 + 1/2x + 5

Put in terms of 4 as denominator
3/4x + 12/4 - 8/4x = -1/4 + 2/4x + 20/4

Combine like terms
-5/4x + 12/4 = 2/4x + 19/4

Simplify
12/4 = 7/4x + 19/4
-7/4 = 7/4x
x = -1 :)

Check:
3/4(-1) + 3 - 2(-1) = -1/4 + 1/2(-1) + 5
-3/4 + 3 + 2 = -1/4 - 1/2 + 5
-3/4 + 5 = -3/4 + 5
-3/4 = -3/4 :)
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