What is the importance of constructing a probability distribution for a random variable in interpreting data?​

Answer:

$388.50

Step-by-step explanation:

42 tins

$9.25/tin

[tex]42*9.25=388.5[/tex]

So, they raised $388.50

Answer:

You could start by measuring the angle of the slope, then mark the half point of the slope, call it 0, then mark the left end -1 and then the right end 1

You may begin by calculating the slope's angle, then marking the slope's midway point, or 0, then the left end, -1, and finally the right end, 1.

Answer:

b: Two thousand four hundred and forty (2440)

c: 1.33 x 10^27

Step-by-step explanation:

I'm uncertain by what an ordinary number is, but to calculate the answer for part b, you need to divide the diameter of Mercury by 2, which would give the aforementioned answer.

As for part c, you will need to subtract the masses of Jupiter and Saturn:
mass of Jupiter - mass of Saturn = 1.33 ×[tex]10^{27}[/tex]

Answer:

17%

Step-by-step explanation:

Firstly, we can establish that the tip is a percentage of the bill, excluding tips. This means that the $75.29 would be 100%, thus to find the percentage of tip received, we would take
$12.80/$75.29 × 100 = 17%

Answer: 490.088 in2

Step-by-step explanation:

The final equation is a polynomial of primes  [tex]2x^{4} + x^{3} - x + 2[/tex] It can't be factored. Variables are sometimes known as indeterminate in mathematics.

 An essential component of the "language" of mathematics and algebra are polynomials. They are used to express numbers that are the result of mathematical operations in almost every area of mathematics. Other types of mathematical expressions, such as rational expressions, also use polynomials as "building blocks."

given

Is a base form of a polynomial in other words is a polynomial that can't be factored.

so we have

[tex]A ) x^{3} +3x^{2} - 2x - 6 = ( x +3 ) ( x^{2} - 2 )\\B) x^{3} -2x^{2} +3x - 6 = ( x- 2 ) (x^{2} + 3)\\C)4x^{4} +4x^{3} - 2x - 2 = 2( x +1 )(2x^{2} - 1)\\D) 2x^{4} +x^{3} -x + 2[/tex]

hence, the final equation is a polynomial of primes  [tex]2x^{4} + x^{3} - x + 2[/tex] It can't be factored.

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The minimum and maximum possible heights of the bowling pin are 14.96875 inches  and 15.03125 inches

From the question, we have the following parameters that can be used in our computation:

Absolute deviation = 0.03125 inches

Height = 15 inches

The minimum is calculated as

Minimum = Height - Absolute deviation

Substitute the known values in the above equation, so, we have the following representation

Minimum = 15 - 0.03125 inches

Minimum = 14.96875 inches

The maximum is calculated as

Maximum = Height + Absolute deviation

Substitute the known values in the above equation, so, we have the following representation

Maximum = 15 + 0.03125 inches

Minimum = 15.03125 inches

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Answer:

Axis of symmetry= 3

Step-by-step explanation:

f(x)= 2x^2 +12x-4

f(x)=ax^2+bx+c

x=12/2(2)

x=3

f(x)= 2(3)^2+12(3)-14

f(x)= 2(9)+36-14

f(x)=18+36-14

f(x)= 54-14

y=40

Answer:

Mean: 16.333333333333

Median: 18.5

Mode: 9,10,18,19,20,22

Step-by-step explanation:

Mean: Add all the terms together and divide your result by the amount of you there are. ((22+9+10+19+18+20) / 6)

Median- Organize the terms from least to greatest. When you find the middle of the terms you will get 18.5, look for what between 18 and 19.

Mode- Normally to find the mode you would order the terms from least to greatest, and then find which term occurs the most. But since all the terms occur once, it will be all of the terms.

Answer:

The right solution is "3.29, 3.57".

Step-by-step explanation:

Seems that the given problem is incomplete. Below is the attachment of the complete and appropriate query.

The given values are:

Randomly selected adults,

[tex]n = 105[/tex]

Mean,

[tex]\bar{x} = 3.42[/tex]

Standard deviation,

[tex]s = 0.75[/tex]

Now,

At 95% confidence level if given by,

=  [tex]\bar{x} \ \pm \ Z_{\frac{\alpha}{2} }\times \frac{s}{\sqrt{n} }[/tex]

On putting the given values, we get

=  [tex]3.42 \ \pm \ Z_{\frac{0.05}{2} }\times \frac{0.75}{\sqrt{105} }[/tex]

=  [tex]3.42 \ \pm \ 1.96\times 0.073[/tex]

=  [tex]3.42 \ \pm \ 0.143[/tex]

=  [tex]3.29, 3.57[/tex]

The length of the hypotenuse will be 5√2 = 7.07

The triangle specified in the question is right-angled, one angle is mentioned to be 90°. It is also an isosceles triangle since both other angles are equal. if both angles are equal, both sides will also be equal.

So the length of both equal sides = 5 cm

Pythagoras' theorem tells us about the relationship between the three sides of a right-angled triangle. It states that the square of the hypotenuse of the right-angled triangle will be equal to the sum of squares of the other two sides. If a, b, and c are the sides

 c² = a²+ b²

  c = √(a²+b²)

According to Pythagoras' theorem, Hypotenuse = √base²+ alt²

                                                          Hypotenuse = √5²+5²

                                                                                = 5√2

                                                                               = 7.07 cm

So the length of the hypotenuse is 5√2 = 7.07 cm.

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Step-by-step explanation:

[tex]3 : 12 \equiv \frac{3}{12} \equiv 1 : 4[/tex]

[tex] \frac{3}{5} \equiv3 : 5[/tex]

[tex]108 : 9 \equiv \frac{108}{9} \equiv12 : 1[/tex]

The bake sale sign has a 6 ft2 space.

An object's area is how much space it takes up in two dimensions.

It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.

The word "area" refers to a free space.

A shape's length and width are used to compute its area. Unidimensional length is expressed in terms of feet (ft), yards (yd), inches (in), etc.

But a shape's area is a two-dimensional measurement. In order to measure something in a square, it is done so using measurements like square inches (in2), square feet (ft 2), square yards (yd2), etc.

The majority of forms and things have corners and edges. 

According to our question-

The opposite sides of a rectangle's quadrilateral (it has four sides and four angles) are equal and parallel.

Area of a rectangle equals length times width.

The area of the bake sale sign = length * breadth

Hence, The bake sale sign has a 6 ft2 space.

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Answer:

√28 and √11

Step-by-step explanation:

Note : -

Irrational number is any real number that cannot be expressed as the quotient of two integers.

Here,

√28 = 5.291.......

5.291.... is an infinite number, it keeps going, it cannot be expressed in terms of a fraction.

Similarly,

√11 = 3.316......

Hence,

√28 and √11 are irrational numbers.

Answer:

58 degree is the value of x

Answer:

5) 1: 63

  2: 117

  3: 63

  4: 117

  5: 63

  6: 117

  7: 63

  8: 117

Step-by-step explanation:

Answer: AAS

Step-by-step explanation:

AAS, because the side congruence isn't between the angles as it should be in order for it to be ASA.

Volume:-

= 12 × 11 × 11

= 12 × 121

= 1452 cm³

Answer:

it is 1452 I believe (๑ↀᆺↀ๑)

hola cómo estás yo muy bien y tu qué tal

Step-by-step explanation:

1:13

2:26

3:39

4:52

5:65

6:78

Rule - ×13

Find the area of the room by multiplying the length by the width:

Area of room = 20 x 12 = 240 square feet.

Find the area of the tile: 2x 2 = 4 square feet.

To find the number of tiles divide the area of the room by the area of a tile:

240/4 = 60

They will need 60 tiles.

Answer:

120

Step-by-step explanation:

20*12=240

240/2=120

The length of the rectangle is 4 units.

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.

Let n be the length of the rectangle.

The width of a rectangle is the length minus 2 units.

The width = n - 2

The area of the rectangle is 8 square units.

The area of the rectangle = length x width

8 = n (n-2)

n²-2n - 8 = 0

n²-4n+2n - 8 = 0

n(n-4)+2(n-4) = 0

(n+2)(n-4) = 0

n = 4 and -2.

So the length is 4 units.

Therefore, 4 units are the length of the rectangle.

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Step-by-step explanation:

4/25 cannot be converted into a whole number, it is less than 1

Answer:

decimal = 0.15

whole number (rounded) = 0

Answer:

76 cm^2

Step-by-step explanation:

Volume of the cuboid = Length(l)×breadth(b)×Height (h)

Given that

A cuboid has a volume of 24 cm^3 and its length, breadth, and height are integers only.

prime factor of 24 = [tex]2^3\times3\times1[/tex]

24 = 2×3×2×2×1

24= 12×2×1

or 24= 6×4×1

Now, for Surface area to be maximum we have to take dimensions as

12,2,1

SA = 2(lb+lh+bh)

=2(12×2+12×1+2×1)

= 76 cm^2

Therefore, maximum area of the cuboid with diemensions, 12,2,1 = 76 unit

Answer:

6[tex]x^{2}[/tex] + 1

Step-by-step explanation:

[tex]\frac{6x^{3}+ 2x-x }{x}[/tex]   combine 2x -x = x

[tex]\frac{6x^{3} + x}{x}[/tex]

[tex]\frac{x(6x^{2} + 1) }{x}[/tex]  the x's cancel out

6[tex]x^{2}[/tex] + 1

Answer:

33

Step-by-step explanation:

18 + 15 ← factor out 3 ( the GCF ) from each term

= 3(6 + 5)

= 3(11)

= 3 × 11

= 33

Answer:

i think linear

Step-by-step explanation:

let me know if this is wrong

Answer:

Step-by-step explanation:

25×80%=20

so she need to get 20 questions right

Answer:

20

Step-by-step explanation:

total question: 25

marks need to pass: 80%

25-20% = 20

Answer:$ 1341.99

Step-by-step explanation: Hope its helps