The principal at a school recorded the color and make of all vehicles in the student parking lot. From the data, the following probability model was created about the colors of the vehicles.
A 2-column table with 4 rows. Column 1 is labeled outcome with entries red, black, white, other. Column 2 is labeled probability with entries 0.28, 0.30, 0.22, 0.20.
Which pairs of events about a vehicle are mutually exclusive? Check all that apply.
The events red and black
The events white and two door
The events white and other
The events black and truck
The events red and other

Answer:

Option (2)

Step-by-step explanation:

Equations of the lines have bee given as,

y = [tex]\frac{4}{3}x-5[/tex]

y = [tex]\frac{4}{3}x+3[/tex]

Both the equations are in the slope intercept form. (y = mx + b)

They have same slopes but different y-intercepts.

Same slopes of the equations define the lines to be the parallel lines.

Therefore, Option (2) will be the correct option.

Step-by-step explanation:

area of trapezium= 1/2×sum of parallel sides× height

=1/2×(9+9+7)×8

=1/2×25×8

=100

I hope this helps( ╹▽╹ )♥

Answer:

kaylas thinking of the number 414

Step-by-step explanation:

414 is divisable by 18 (414 divided by 23)

414 is palindrome

414 is one less than a multiple of 5 (415)

Answer:

414

Step-by-step explanation:

The last digit must be 4 or 9 since it is one less than a multiple of five. Then, it says the number must be divisible by 18, and 18 = 2x9. Only 4 is divisible by 2, so four must be the last digit. Since it's a palindrome, the first digit must also be four. Since it also has to be divisible by nine, 4 + 4 = 8, and 8 + 1 = 9.

Answer:

2. 4 meters long

Step-by-step explanation:

0. 6 times 4 equals 2. 4

Answer:

1. 25

2. 3 hours

3. from 10:00 am to 10:30 am because he went 10 miles in 30 minutes

Step-by-step explanation:

Answer:

there are two bases and three sides/faces.

Answer:

These are the answers.

Step-by-step explanation:

Answer:

es igual a 111.111.111.011

Carina can assemble 10 products within the give time

Answer:

m = 35

Step-by-step explanation:

2m + m -15 = 90

3m -15 = 90

     +15  +15

3m = 105

/3     /3

m = 35

To check the work just insert 35 for m:

2(35) + 35 -15 = 90

70 + 35 -15 = 90

105 - 15 = 90

90 = 90

Answer:

5/24(11x+28)

Step-by-step explanation:

Answer:

x= 12/7

Step-by-step explanation:

3x+4x=12

Step 1: Simplify both sides of the equation.

3x+4x=12

(3x+4x)=12(Combine Like Terms)

7x=12

7x=12

Step 2: Divide both sides by 7.

7x  7 = 12 7 x= 12 7

12/7

Answer:

25.9

Step-by-step explanation:

If a tree casts a shadow 21 m long. Then the height of the tree will be 25.9 meters.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

A tree casts a shadow 21 m long.

The angle of elevation of the sun is 51°.

Let h be the height of tree.

Then the height of the tree will be

tan 51° = h / 21

        h = 25.93 m

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Answer:

The perpendicular line is:

y = 1/3  x + 2/3

Step-by-step explanation:

The given equation can be reduced to its slope-intercept form as shown below:

3x + 9y = 8y - 2

subtract 8 y from both sides

3 x + y = -2

subtract 3 x from both sides

y = - 3 x -2

therefore we know that the slope of this line is -3, and then, a perpendicular line to it must have slope given by the "opposite of the reciprocal" of this slope. That is, the slope of any perpendicular line to this one must be: 1/3

We use this slope to find the equation of the line passing through the point (13. 5)

y = 1/3 x + b

passing through (13, 5) means:

5 = 1/3 (13) + b

therefore, we can find b from the above equation

b = 5 - 13/3 = 15/3 - 13/3 = 2/3

Then the equation of this perpendicular line is:

y = 1/3  x + 2/3

Answer:

Percent error = 4.29%

Step-by-step explanation:

Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.

Mathematically, it is given by this expression;

[tex] Percent \; error = \frac {experimental \;value - theoretical \; value}{ theoretical \;value} *100[/tex]

Given the following data;

Experimental value = 67

Theoretical value = 70

Substituting into the equation, we have;

[tex] Percent \; error = \frac {67 - 70 }{ 70} *100[/tex]

[tex] Percent \; error = \frac {3}{70} *100[/tex]

[tex] Percent \; error = 0.04286 *100[/tex]

Percent error = 4.29%

Answer:

1 24/25 or one and twenty-four twenty-fifths (in word form).

Step-by-step explanation:

This would be the answer since, we firstly have to convert the mixed fractions into improper fractions. 7/5*7/5, which equals to 49/25. In simplified form it would be 1 2/25.

1 2/5=7/5

7/5*7/5= 49/25 or 1 24/25.

Anyhow, the answer is 1 24/25

The simplified mixed fraction for the given fraction is  [tex]24\frac{1}{2}[/tex]

A fraction represented with its quotient and remainder is a mixed fraction, a mixed fraction is a combination of a whole number and a proper fraction.

Given that a fraction [tex]1\frac{2}{5}[/tex] × [tex]1\frac{2}{5}[/tex]

We need to simply it in a mixed fraction,

[tex]1\frac{2}{5}[/tex] × [tex]1\frac{2}{5}[/tex]

= 7/2 × 7/2

= 49 / 2

= [tex]24\frac{1}{2}[/tex]

Hence, the simplified mixed fraction for the given fraction is  [tex]24\frac{1}{2}[/tex]

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An appropriate label for the horizontal axis of this bar chart is "Number of goals" and its title should be "The number of goals scored by a team."

A bar chart is also known as bar graph and it can be defined as a type of chart that is used for the graphical representation of data (information), especially by using rectangular bars or vertical columns.

The appropriate label for the horizontal axis of this bar chart is "Number of goals" and its title should be "The number of goals scored by a team."

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Step-by-step explanation:

Amplitude of the sine function is 1.

So if its multiplied by -3, its amplitude is 3 (its always positive).

The midline of sin x is 0.

The midline of sin 2x is also 0.

The midline of -3*sin 2x is also 0.

So if you subtract this function by 5, then the new midline is -5.

3 and 4 is the lcd

lcd means least common factor

simpleest it ¾ the answer

Answer:

3/4 hope its helpssssssss

x 3

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

12/60=1/5

Answer: 89.18

Explanation:none your welcome

General term of GP: a

1

r

n−1

10

th

term of GP =a

1

r

9

=45(0.2)

9

=23040×10

−9

=2.304×10

−5

Answer:

1536

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

Here a₁ = 3 and r = 2 , then

a₁₀ = 3 × [tex]2^{9}[/tex] = 3 × 512 = 1536

The triangles can be proven similar by the congruent theorem of triangles

What are Congruent Triangles?

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the two triangles be ABC and DEF

Now , the two triangles will be similar if

The three sides are equal

So , AB = BC = CD and

DE = EF = FD

And the two triangles are congruent if

By ASA theorem - two angles are the same and a corresponding side is the same

And ,

By SAS theorem : Two sides are equal and the angle between the two sides is equal

And ,

By RHS theorem : A right angle, the hypotenuse and a corresponding side are equal

Hence , the triangles ABC and DEF is similar ΔABC ≅ ΔDEF

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Answer:

F

Step-by-step explanation:

Dependent is the y-axis and independent is the x-axis. So your answer is F.

Hope this helps, thank you !!

Answer:

am not really sute bt its ..no