Find the probability of the following event

You roll a prime number

Answer:

28/21

Step-by-step explanation:

28/21 is the equivalent to 4/3.

We know this is the fraction we are looking for because 28 + 21 = 49

Hope that helps!

Answer:

460

Step-by-step explanation:

1/5 of 2kg is .4 kg

.4kg converted to grams is 400 grams

400g + 60g= 460

THE ANSWER IS 460

The area of each triangle is (1/3) of the area of the whole shape.

Area is the amount of space occupied by a two dimensional shape or object.

Ved drew the shape below by combining exactly 3 triangles of the same size and shape.

Hence:

Combined area = sum of each area = 3 * area of each triangle

The area of each triangle is (1/3) of the area of the whole shape.

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Answer:

I think the solution is x=84 if this is correct can u mark me brainliest

Answer:

Step-by-step explanation:

This problem can be solved by using the logarithm function.

Isolate the term of x from one side of the equation.

First, you divide by -6 from both sides.

[tex]\Longrightarrow: \sf{\dfrac{-6\log _3(x-3)}{-6}=\dfrac{-24}{-6}}[/tex]

Solve.

Divide the numbers from left to right.

-24/-6=4

Rewrite the problem down.

[tex]\Longrightarrow: \sf{\log _3(x-3)=4}[/tex]

x-3=81

Add by 3 from both sides.

[tex]\Longrightarrow:\sf{x-3+3=81+3}[/tex]

Solve.

Add the numbers from left to right.

81+3=84

[tex]\Longrightarrow: \boxed{\sf{x=84}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

  1982.0 ft³

Step-by-step explanation:

The composite figure can be decomposed into a cube and a square pyramid. The volume is the sum of the volumes of these.

__

The square base of the pyramid is 12 ft on each side, so the diagonal of the base is 12√2 feet. (The diagonal of a square is √2 times the side length.) Then the distance from a corner to the center of the base is half that, or 6√2 feet.

That distance and the height of the pyramid form a right triangle whose hypotenuse is the given 10 ft measure of the length of the edge of a face of the pyramid. Then the height can be found using the Pythagorean theorem:

  h² +(6√2)² = 10²

  h² = 100 -72 = 28

  h = 2√7 ≈ 5.291503 . . . ft

The volume of the pyramid is ...

  V = 1/3Bh = 1/3s²h

  V = 1/3(12 ft)²(5.2910503 ft) ≈ 253.992 ft³

__

The volume of a cube is given by ...

  V = s³

  V = (12 ft)³ = 1728 ft³

__

The total volume of the figure is the sum of the pyramid volume and the cube volume:

  total volume = 253.992 ft³ +1728 ft³ = 1981.992 ft³

The volume of the figure is about 1982.0 ft³.

_____

Additional comment

Your figure for the volume seems to assume the height of the pyramid is 8 feet. That length is the slant height of one face of the pyramid. It would be the hypotenuse of a right triangle whose other legs are 6 ft and the height of the pyramid. Then we would have ...

  h² +6² = 8²

  h² = 64 -36 = 28 . . . . as above

The pyramid height is the perpendicular distance from the plane of the base to the peak. It is measured through the middle of the volume, not along one face.

Answer:

$2,125

Step-by-step explanation:

Subtract: 2250-125=2125

Hope this helps! :)

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

Answer: D. 30.48 miles

Step-by-step explanation:

You basically use Pythagorean Theorem!

a2 + b2 = c2

Square root 20^2 +23^2

=√20^2 + 23^2

=20 x 2 + 23 x 2

= 929

And round it=

30.48 miles.

Answer: you gotta add

35+20 and that =55

55+30 and that =85

85+40 and that =125 the next step is

125+7 =132

Step-by-step explanation: hope this helps:)

Answer:

[A] It will take 24 minutes for Joe and Charmaine to meet again at the starting line.

[B] Joe will complete 2 laps

[C]  Charmaine will complete 3 laps.

Step-by-step explanation:

Factor two numbers 12 and 8:

12 = 2×2×3

8 = 2×2×2

Find LCM of 12 and 8:

Lcm of 12 and 8 - 2×2×3×2 = 24

Therefore,

[A] How much time does it take for them to meet again at the starting line?

It will take 24 minutes for Joe and Charmaine to meet again at the starting line.

[B] How many laps does Joe complete

Joe will complete 2 laps

[C] How many laps does Charmaine complete?

Charmaine will complete 3 laps.

~lenvy~

Answer:

  a)  {5, 6}

  b)  {2, 3, 4, 5, 6, 7, 8, 9}

  c)  {0, 1, 7, 8, 9}

  d)  {0, 1, 2, 3, 4}

Step-by-step explanation:

The intersection of sets is the set of elements common to both. The union of sets is the set of all elements that are part of either set. The complement of a set is the set of elements in the universal set that are not in the set of interest.

__

  {2,3,4,5,6} ∩ {5,6,7,8,9} = {5, 6}

__

  {2,3,4,5,6} ∪ {5,6,7,8,9} = {2,3,4,5,6,7,8,9}

__

  U -A = {0,1,2,3,4,5,6,7,8,9} -{2,3,4,5,6} = {0,1,7,8,9}

__

  U -B = {0,1,2,3,4,5,6,7,8,9} -{5,6,7,8,9} = {0,1,2,3,4}

Step-by-step explanation:

Given :-

To find:-

Solution :-

Formula for perimeter of rectangular swamp = 2(L+W)

124 ft. = 2( 5x -10 + x )

124 ft. = 2(6x - 10)

124 ft. = 12x - 20

124+20 = 12x

144/12 = x

12 = x

putting the values of x

Length = 5x-10

width = X

perimeter =2L+2W or 2(L+W)

124= 2(5W-10+W)

perimeter =2( 6W-10)

124 = 12W-20

124+20=(12W+20-20

144=12W

144÷12=12W÷12

12=W

All the triangles below which are translations of triangle X are,

⇒ A, B, D, E, F

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Since, A translation of a triangle is moving it up down or side to-side on the axis, not changing the shape flipping it or the orientation.

Hence, By all the graphs;

All the triangles below which are translations of triangle X are,

⇒ A, B, D, E, F

Thus, All the triangles below which are translations of triangle X are,

⇒ A, B, D, E, F

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Answer:

A, F

Step-by-step explanation:

The only two images that are just translations of triangle X are A and F.

Triangles A and F are obtained by moving triangle X some combination of up, down, left, and right. That is just a translation.

All other triangles shown involve something else in addition to a translation such as a reflection, rotation, or dilation.

Answer: A, F

Answer:

x = 1

y = 5

Step-by-step explanation:

x + y = 4 __ (1)

2x + y = 3 __ (2)

equation (1) x 2, (2) x 1

2x + 2y = 8

2x + y = 3

0  + y = 5

y= 5 (ANS)

x + y = 4

x + 5 = 4

x = 5 - 4

x = 1 (ANS)

I HOPE MY ANSWER IS CORRECT IF NOT I APOLOGIZE.

Answer:

[tex]\sf 9y^3(3-y)[/tex]

Step by step explanation:

[tex]\sf 27y^3-9y^4[/tex]

Factor out common term 9 :

[tex]\sf \implies 9(3y^3-y^4)[/tex]

Apply exponent rule [tex]\sf a^{bc}=a^{b+c}=a^ba^c[/tex] :

[tex]\sf \implies 9(3y^3-y^{1+3})[/tex]

[tex]\sf \implies 9(3y^3-y^1y^3)[/tex]

Factor out common term [tex]\sf y^3[/tex]:

[tex]\sf \implies 9y^3(3-y^1)[/tex]

Apply exponent rule [tex]\sf a^1=a[/tex] :

[tex]\sf \implies 9y^3(3-y)[/tex]

Answer:

(0,12)

Step-by-step explanation:

B.(0,12)

The between treatments' degrees of freedom would be equal to 10

Degrees of freedom is a combination of how much data you have and how many parameters you need to estimate.

Given the data in the question;

A research study comparing three treatments with n = 5 in each treatment produce;

that is: n₁ = 5, n₂ = 5, n₃ = 5

T₁ = 5, T₂ = 10, T₃ = 15,

SS₁ = 6, SS₂ = 9, SS₃ = 9

∑x² = 94

First, we obtain the grand total;

G = T₁ + T₂ + T₃ = 5 + 10 + 15 = 30

N = n₁ + n₂ + n₃ = 5 + 5 + 5 = 15

Total SS =  ∑x² - ( G²/N )

we substitute

Total SS =  94 - ( (30)²/ 15 )

Total SS =  94 - ( 900 / 15 )

Total SS =  94 - 60

Total SS =  34

To get the SSbetween or Between SS;

Between SS = ∑( T²/n ) - ( G²/N )

Between SS = ∑( (5)²/5 + (10)²/5 + (15)²/5 ) - ( (30)²/ 15 )

Between SS = ∑( 25/5 + 100/5 + 225/5 ) - ( 900 / 15 )

Between SS = ∑( 5 + 20 + 45 ) - 60

Between SS = 70 - 60

Between SS = 10

Hence the between treatments' degrees of freedom would be equal to 10.

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Answer:

[tex]\frac{27}{64} x^{3} y^{3} cm^{3}[/tex]

Step-by-step explanation:

0.75 means  75/100 which is equal to 3/4.

Cube of 3/4 is [tex]\frac{3^{3} }{4^{3} }[/tex]= 27/64

x cube means x will be multiplied with itself thrice, which is [tex]x^{3}[/tex]and following the same logic, y cube means y will be multiplied with itself three times which is [tex]y^{3}[/tex]. The unit [tex]cm^{3}[/tex]at the last is very important, because, without it, the value does not show that this value is used to represent a volume so we write the units after writing the value.

Answer:

36

Step-by-step explanation:
36 x 3.14 = 113.04

Since to find a diameter from the area, you need to divide by 3.14

113.04 divided by 3.14 = 36


But since its already there you can just figure out that 36 is the diameter and you don't have to do any calculating

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex]\qquad \sf  \dashrightarrow \:a \cos(bx) + k[/tex]

Now, let's find the required values :

period (p) = 6

[distance between any successive Crest or trough]

a = - 4 (flipped)

b = 2π/p = 2π/6 = π/3

k = -2

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]

Not passing through origin (it's cosine)

Period:-

Now

Frequency:-

[tex]\\ \rm\dashrightarrow \nu=\dfrac{1}{T}[/tex]

[tex]\\ \rm\dashrightarrow \nu=\dfrac{1}{6}[/tex]

[tex]\\ \rm\dashrightarrow \nu=0.167Hz[/tex]

Applying the formula for areas of rectangle, triangle, & circle, area of each figure is:

1. 27

2. 537.9

3. 384

4. 168.5

5. 96.3

6. 73.1

7. 357.1

8. 1,029

9. 744

Area of a circle = πr², where r is its radius.

Area of a rectangle = length × width

Where b is the height and b is the base length, area of triangle = 1/2bh.

Area = s², where s is the side length.

1. Area of the figure = area of square + area of rectangle = s² + length × width

Area of the figure = 3² + 6 × 3 = 27 ft²

2. Area of the figure = area of circle + area of rectangle = πr² + length × width

Area of the figure = π(7²) + 24 × 16 = 537.9 ft²

3. Area of the figure = area of smaller rectangle + area of bigger rectangle

Area = 12 × 12 + 20 × 12 = 384 yd²

4. Area of the figure = area of 1/2circle + area of triangle = 1/2πr² + 1/2bh

Area of the figure = 1/2π(8²) + 1/2(8)(17) = 168.5 cm²

5. Area of the figure = area of rectangle + area of triangle = (l)(b) + 1/2bh

Area of the figure = (10)(7.5) + 1/2(7.5)(5) = 96.3 m²

6. Area of the figure = area of 1/2circle + area of triangle = 1/2πr² + 1/2bh

Area of the figure = 1/2π(4²) + 1/2(8)(12) = 73.1 cm²

7. Area of the figure = area of 1/2circle + area of rectangle = 1/2πr² + 1/2bh

Area of the figure = 1/2π(10²) + (20)(10) = 357.1 in.²

8. Area of the figure = area of rectangle + area of triangle = (l)(b) + 1/2bh

Area of the figure = (35)(21) + 1/2(28)(21) = 1,029 m²

9. Area of the figure = area of square + area of rectangle = s² + length × width

Area of the figure = 18² + 21 × 20 = 744 in.²

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Answer:

$38.25

Step-by-step explanation:

Perimeter of a rectangle = 2W + 2L

(where W is the width and L is the length)

Given:

⇒ perimeter = (2 x 2.5) + (2 x 6)

                     = 5 + 12

                     = 17 yd

Given:

⇒ total cost = 17 x 2.25

                    = $38.25

Perimeter:-

Toatl cost::

Step-by-step explanation:

AB = x + 5 ...................

Answer:

-1

Step-by-step explanation:

Given function:  [tex]f(x)=-x^2+4x-3[/tex]

[tex]\implies f(-2)=-(-2)^2+4(-2)-3=-15[/tex]

[tex]\implies f(7)=-(7)^2+4(7)-3=-24[/tex]

[tex]\textsf{Average rate of change}=\dfrac{f(b)-f(a)}{b-a}\quad\textsf{for}\:a\leq x\leq b[/tex]

Therefore, average rate of change over the interval -2 ≤ x ≤ 7

[tex]\implies \textsf{Average rate of change}=\dfrac{f(7)-f(-2)}{7-(-2)}=\dfrac{-24-(-15)}{9}=-1[/tex]

Answer: 8

Step-by-step explanation: Substituting x for 2 since we know the value, 4(2) is 8.

Answer: 8

Step-by-step explanation:4*2=8

Answer:

12 tiles

Step-by-step explanation:

Let,

Since the length of the larger rectangle is similar to the smaller rectangle, we can compare the dimensions of both rectangles by forming a ratio.

[tex]\text{(L of "s")}:\text{(B of "s")}= \text{(L of "l")}: \text{(B of "l")}[/tex]

Let,

[tex]\implies \text{L}_{1} }:\text{B}_{1} = \text{L}_{2} : \text{B}_{2}[/tex]

We are already given:

[tex]\implies 10:8 = 15 : \text{B}_{2}[/tex]

To simplify the ratio, multiply the extremes together and take them on one side. Then, multiply the middles together and take them on the other side.

[tex]\implies 10 (\text{B}_{2}) = 15(8)[/tex]

Divide 10 both sides to obtain the width of the larger rectangle.

[tex]\implies \dfrac{10 (\text{B}_{2}) }{10} = \dfrac{15(8)}{10}[/tex]

Simplify the equation as necessary.

[tex]\implies \text{B}_{2} = 12[/tex]

Thus, the width of the larger rectangle is 12 tiles.

Answer:

If the Payans were to default, their credit score could be lowered. The Payans could also lose their house. With both of those things on their record, it would make it harder for the Payans to qualify for another loan.

Hope this helps!

Answer:

0.3

Step-by-step explanation:

Answer:

6 divided by 20 is 0.3

(your welcome)

well, we can take a peek at this from the standpoint of moving from the right towards 0, but never getting there.

[tex]e^{-\frac{5}{x}}\implies \cfrac{1}{e^{\frac{5}{x}}}\qquad \qquad \stackrel{x = 1}{\cfrac{1}{e^{\frac{5}{1}}}}\implies \cfrac{1}{e^5}\qquad \qquad \stackrel{x=0.000001}{\cfrac{1}{e^{\frac{5}{0.000001}}}}\implies \cfrac{1}{e^{500000}}[/tex]

as "x" is moving towards 0, the denominator is becoming larger and ever larger, whilst the numerator is remaining the same, thus the fraction is become ever smaller, going towards = 0.