8. A study found that 72% (0.72) of people wear their seat belts? If three people
are selected at random, what is the probability that all three people wear their
seat belts?

Answer:

-2/15

Step-by-step explanation:

because you first do 1/4 times 8/9 = 8/36

then you do 8/36 times -3/5 which then after you simplify you get -2/15

please mark brainliest i need 2 more!

Answer:

[tex] - \frac{2}{15} [/tex]

Step-by-step explanation:

[tex] \frac{1}{4} \times \frac{8}{9} \times \frac{ - 3}{5} [/tex]

[tex] \frac{1}{1} \times \frac{2}{3} \times - \frac{1}{5} [/tex]

[tex] - \frac{2}{15}[/tex]

Answer:

Yes they are similar due to the parallel lines of XY & BC. So, technically, the small and big triangle both will share the same base angles because corresponding angles are equal. Thus, angle AYX will be equal to angle YCB, for example.

In addition, two shapes are similar if one is an enlargement of another.

Hope this helps!

Answer:

d have a great guys :D

Step-by-step explanation:

Divide the shape into a square and a rectangle, multiply 7 by 10, and subtract 10 from 21 to get 11. then multiply 11 by 24. Lastly, add the products together and you get 334 feet squared. Have a good day my friend!

The area of the polygon is: 334 ft²

To find the area of a polygon, decompose the polygon into known shapes and find the area of each shape, then add all.

Thus:

Decomposing the polygon given, we would have rectangle 1 and rectangle 2.

Area of rectangle 1 = length × width = 7 × 10 = 70 ft²

Area of rectangle 2 = length × width = 24 × (21 - 10) = 264 ft²

Area of the polygon = 264 + 70 = 334 ft²

Learn more about area of polygon on:

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Answer:

  n -8.2 = 2.3(t -1)

Step-by-step explanation:

You are given definitions for the variables t and n, along with two data points:

  (t, n) = (1, 8.2) and (5, 17.4)

The slope of the line between these points is ...

  m = (y2 -y1)/(x2 -x1)

  m = (17.4 -8.2)/(5 -1) = 9.2/4 = 2.3

The equation can be written in point-slope form as ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  n -8.2 = 2.3(t -1) . . . . a linear model describing the data

______

Additional comment

If we eliminate the parentheses and add 8.2, we get the point-slope equation ...

  n = 2.3t +5.9

Answer:

q is -3

Step-by-step explanation:

collect like terms 12 moves to the other side

81/q = -27

q is 81/-27

therefore the answer is -3

Answer:

-9

Step-by-step explanation:

[tex]\frac{81}{q}>-39+12=-27\\81>-27 q\\q<-81/27\\q<-3\\[/tex]

so the answer is -9

Answer:

8.5

Step-by-step explanation:

two cases:

1) 2x + 10 = 2x - 24, 10 = -24, impossible!

2) 2x + 10 = -(2x - 24)

2x + 10 = -2x - 24

4x = 34

x = 34/4 = 17/2 = 8.5

Answer:

2.25 cups

Step-by-step explanation:

9/4 = 2.25

Answer:

Here's my way

Step-by-step explanation:

he has 242, and 2 shelves for 120

120 + 120 = 240,

which leaves 2 off.

so, either you can put:

"Yes, because he has 2 remaining" (Not recommended)

Or

"No, because he put 240 on the shelves , he can put the other 2 somewhere else" (Recommended)

Answer:

[tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15} [/tex]

[tex] \frac{13}{5} + \frac{13}{10} - \frac{47}{15} [/tex]

[tex] = \frac{13 \times 6 + 13 \times 3 - 47 \times 2}{30} [/tex]

[tex] = \frac{78 + 39 - 94}{30} = \frac{117 - 94}{30} = \frac{23}{30} [/tex]

Simplifying [tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}[/tex] is equal to [tex]\frac{23}{30}[/tex]

Given the following equation:

A fraction refers to a numerical quantity that isn't expressed as a whole number. Therefore, a fraction is simply expressed as a part of a whole number.

In Mathematics, a fraction consists of two (2) main parts and these are:

In this exercise, you're required to simplify the given fractions. Thus, we would convert the mixed fraction to a single fraction as follows:

[tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}=\frac{13}{5} +\frac{13}{10} -\frac{47}{15}[/tex]

Note: Lowest common multiple (LCM) of 5, 10 and 15 = 30.

[tex]\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{78+39-94}{30} \\\\\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{117-94}{30}\\\\\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{23}{30}[/tex]

Read more on fractions here: brainly.com/question/368260

[tex]\huge\fbox{Answer ☘}[/tex]

Mrs. Chaukes' income for 1 month = ₹ 32,040

Mrs. Chaukes' income for 12 months or 1 year = [tex] \bold\blue{32040 \times 12 = ₹ 3,84,480}[/tex]

hope helpful ~

Mrs. Chauke's annual income if she earns R32 040 per month is

R384 480​

The given parameters are:

Hourly rate = R180

Work time = 8 hours a day

Monthly income = R32040

There are 12 months in a year.

So, the annual income is:

Annual = 32040 * 12

This gives

Annual = 384480

Hence, Mrs. Chauke's annual income if she earns R32 040 per month is

R384 480​

Read more about rates at:

https://brainly.com/question/2375289

Answer:3/2=6

Step-by-step explanation:

Answer:

8, 5, 4, 7, 12, 9, 20, 9, 21

All explanations below!

Step-by-step explanation:

1. 1/2 times 16 = 8

2. 1/4 times 20 = 5

3. 1/3 times 12 = 4

4. 1/5 times 35 = 7

5. 2/3 times 18 = 12

6. 3/7 times 21 = 9

7. 5/8 times 32 = 20

8. 1/6 times 54 = 9

9. 3/4 times 28 = 21

Answer:

1.9.75x> 195

2.9.75x> 195

9.75/9.75x>195/9.75

x>20hrs

Answer:

8x-20

Step-by-step explanation:

Distribute:

12x-18-2(2x+1)

12x-18-4x-2

Collect like terms:

8x-18-2

Answer:

8x-20

a = 168⁰

a + x = 180⁰

168⁰ + x = 180⁰

x = 180⁰ - 168⁰

x = 12⁰

Answer:

D.

Step-by-step explanation:

here is something to help you

Answer:

18, 12

Step-by-step explanation:

x+y=30

x-y=6

2x=36 (add the equations before this together)

x=18

y=12

Answer:

The numbers are x = 18 and y = 12.

Step-by-step explanation:

We know

At centroid the medians of all triangles bisect eachother at 2:1 ratio

So

[tex]\\ \tt\hookrightarrow 16:VT=2:1[/tex]

[tex]\\ \tt\hookrightarrow VT=8[/tex]

[tex]\\ \tt\hookrightarrow 18;VS=2:1[/tex]

[tex]\\ \tt\hookrightarrow VS=9[/tex]

[tex]\\ \tt\hookrightarrow VU:QU=1:3[/tex]

[tex]\\ \tt\hookrightarrow VU:39=1:3[/tex]

[tex]\\ \tt\hookrightarrow VU=13[/tex]

Answer:

5:45

Step-by-step explanation:

because you multiply 5 by 9

Please Mark brainliest i need 3 more

Answer:Given the two points you entered of (-4, -3) and (-2, 0), we need to calculate 8 items:

Item 1: Calculate the slope and point-slope form:

Slope (m)  =   y2 - y1

  x2 - x1

Slope (m)  =   0 - -3

  -2 - -4

Slope (m)  =   3

  2

Calculate the point-slope form using the formula below:

y - y1 = m(x - x1)

y - -3 = 3/2(x + 4)

Item 2: Calculate the line equation that both points lie on.

The standard equation of a line is y = mx + b where m is our slope, x and y are points on the line, and b is a constant.

Rearranging that equation to solve for b, we get b = y - mx. Using the first point that you entered = (-4, -3) and the slope (m) = 3/2 that we calculated, let's plug in those values and evaluate:

b = -3 - (3/2 * -4)

b = -3 - (-12/2)

b  =   -6

  2

-

-12

2

b  =   6

  2

This fraction is not reduced. Using our GCF Calculator, we see that the top and bottom of the fraction can be reduced by 6

Our reduced fraction is:

1

0.33333333333333

Now that we have calculated (m) and (b), we have the items we need for our standard line equation:

y = 3/2x + 3

Item 3: Calculate the distance between the 2 points you entered.

Distance = Square Root((x2 - x1)2 + (y2 - y1)2)

Distance = Square Root((-2 - -4)2 + (0 - -3)2)

Distance = Square Root((22 + 32))

Distance = √(4 + 9)

Distance = √13

Distance = 3.6056

Item 4: Calculate the Midpoint between the 2 points you entered. Midpoint is denoted as follows:

Midpoint =

x2 + x1

2

,

y2 + y1

2

Midpoint =

-4 + -2

2

,

-3 + 0

2

Midpoint =

-6

2

,

-3

2

Midpoint = (-3, -3/2)

Item 5: Form a right triangle and calculate the 2 remaining angles using our 2 points:

Using our 2 points, we form a right triangle by plotting a 3rd point (-2,-3)

Our first triangle side = -2 - -4 = 2

Our second triangle side = 0 - -3 = 3

Using the slope we calculated, Tan(Angle1) = 1.5

Angle1 = Atan(1.5)

Angle1 = 56.3099°

Since we have a right triangle, we only have 90 degrees left, so Angle2 = 90 - 56.3099° = 33.6901

Item 6:  Calculate the y intercept of our line equation

The y intercept is found by setting x = 0 in the line equation y = 3/2x + 3

y = 3/2(0) + 3

y = 3

Item 7: Determine the parametric equations for the line determined by (-4, -3) and (-2, 0)

Parametric equations are written in the form (x,y) = (x0,y0) + t(b,-a)

Plugging in our numbers, we get

(x,y) = (-4,-3) + t(-2 - -4,0 - -3)

(x,y) = (-4,-3) + t(2,3)

x = -4 + 2t

y = -3 + 3t

Calculate Symmetric Equations:

x - x0

z

y - y0

b

Plugging in our numbers, we get:

x - -4

2

y - -3

3

Step-by-step explanation:

The distance between (-4, -3) and (-2, 0) rounded to the nearest tenth is approximately 3.6 units.

A coordinate plane is a 2D plane created by the junction of the x-axis and y-axis, two perpendicular lines. A coordinate system in geometry is a way to use one or more integers or coordinates to determine the positions of the points.

The distance between two points (x1, y1) and (x2, y2) in a 2-dimensional plane is given by the distance formula:

D = √ [ ( y₂ - y₁ )² + ( x₂ - x₁ )² ]

Using this formula, we can find the distance between (-4, -3) and (-2, 0) as follows:

D = √ [ ( 0 + 3)² + (-2 + 4 )² ]

D= √(2² + 3²)

D = √(13)

D ≈ 3.6

Therefore, the distance between (-4, -3) and (-2, 0) rounded to the nearest tenth is approximately 3.6 units.

To know more about coordinate geometry follow

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Answer:

46.74 minutes

Answer:

x = 2 and y = 3

Step-by-step explanation:

-3(5x+2y=16)

2(7x+3y=23)

-15 x - 6y = -48

14 x + 6y = 46

the y's cancel out

- x = - 2

x = 2

5x + 2y = 16

5(2) + 2y = 16

2y = 6

y = 3

Answer:

D

Step-by-step explanation:

2 1/8 + 1 1/2 + 1 3/4 = 5 3/8

Answer:

d

Step-by-step explanation:

got it right on the web.

Answer:

not sure but -2

Step-by-step explanation: I did on calculator

Answer:

the answer is p = 15

Step-by-step explanation:

first you set the equation to 2p + 9 = 3p - 6

then solve out the equation by adding 6 to both sides

the equation will now look like this, 2p + 15 = 3p

now you subtract 2p from both sides

the equation now looks like 15 = p

I always flip my equations so I can read it better,

p = 15

Hope this helps! :)

Answer:

8

Step-by-step explanation:

how i got cause i had same answer not to long ago