It is reported that 77% of workers aged 16 and over drive to work alone. Choose 8 workers at random. Find the probability that exactly 3 drive to work alone

Answer:

s(6)=62

Step-by-step explanation:

s(t)=t^2+4t+2

s(6)=6^2+4(6)+2

s(6)=36+4(6)+2

s(6)=36+24+2

s(6)=60+2

s(6)=62

Hope this helps.

From the division of quadrants in the xy-plane, it is found that letter K represents the second quadrant.

There are four quadrants of points (x,y), and their signals are given as follows:

In this problem, we want Quadrant 2, in which:

Hence:

Letter K represents the second quadrant.

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The graph of the equation y = m x + b where m = 2 and b = - 3 has been obtained.

We are given the function:

y = m x + b

We are also given that:

m > 0 and b < 0

Now lets assume m = 2 and b = -3

So, we get the equation as:

y = 2 x - 3

Now, we have to graph the equation.

We get some values of x and y as:

x        0        1        2

y      - 3      - 1        1

Therefore, the graph of the equation y = m x + b where m = 2 and b = - 3 has been obtained.

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6b+3d-1=C Sorry if I'm wrong, I forgot of Algebra 1

Answer:

Step-by-step explanation:

2x + 11 + 70 + 75 = 180

2x = 180 - 11 - 70 - 75

2x = 24

x = 12

----------

check

75 + 70 + 11 + 2 * 12 =              ( remember pemdas)

75 + 70 + 11 + 24 =

180°

the answer is good

Answer:

Step-by-step explanation:

1.

scale factor=12.5/10=1.25

x/16=1.25

x=1.25×16=20

2.

correct.

Answer: [tex]\frac{4\sqrt{3} }{3} +\frac{1}{2}[/tex]

Step-by-step explanation:

You can either do this manually or use your calculator. Using your calculator, make sure that your calculator is in degree mode, then enter tan(30) + (1/tan(30)) + sin(60).  [1/tan(30) is equal to cot(30) because tangent and cotangent are inverse functions].

Manually, use the unit circle. Tangent is sine over cosine. Sine of 30 degrees is 1/2. Cosine of 30 degrees is [tex]\sqrt{3} /2[/tex]. 1/2 divided by [tex]\sqrt{3}/2[/tex] is [tex]\sqrt{3}/3[/tex]. Cotangent is 1/tangent so take 1/[tex]\sqrt{3}/3[/tex] which is [tex]\sqrt{3}[/tex]. Then we already said that sine of 30 degrees is 1/2, so add them all together.

[tex]\sqrt{3}/3+\sqrt{3}+\frac{1}{2}[/tex] which is equal to [tex]\frac{4\sqrt{3} }{3} +\frac{1}{2}[/tex] or approximately 2.8094.

The y component of Z = N+L

Z=3(i)+5(j)-3(k)

Given:

N = 3(i) +3(j) + 10 (k)

L = 2(j) - 13 (k)

Z=3(i)+5(j)-3(k)

Vectors are represented by an alphabet with an arrow over it (or) by an alphabet written in bold. Vector addition can be used to combine two vectors, a and b, and the resultant vector is written as a + b. Before we can learn about the properties of vector addition, we must first understand the conditions that must be met when adding vectors. The following are the terms:

Vectors can only be added if they are of the same type. For example, acceleration should only be added with acceleration and not mass.

Vectors and scalars cannot be added together.

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Answer:

x=-1

y=2

z=1

Step-by-step explanation:

After substitution we add common terms and make y and z the subject

y= 3-z

z= - 3+ 2y

We substitue the y

z = - 3+2(3-z)

z= 1

and now we subtitute the z to find y

y= 3-z

3-1 = 2

y=2

Now we substitue y and z to find x

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

x= - 1

Answer:

Step-by-step explanation:

The expression (4 + 15.6a) − (7 + 3.7a) in simplest form is − 3 + 11.9a

The expression is given as

(4 + 15.6a) − (7 + 3.7a)

Remove the bracket

So, we have

(4 + 15.6a) − (7 + 3.7a) = 4 + 15.6a − 7 - 3.7a

Collect the like terms

So, we have

(4 + 15.6a) − (7 + 3.7a) = 4  − 7 + 15.6a - 3.7a

Evaluate the like terms

So, we have

(4 + 15.6a) − (7 + 3.7a) = − 3 + 11.9a

Hence, the expression (4 + 15.6a) − (7 + 3.7a) in simplest form is − 3 + 11.9a

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The appropriate value in the box will be 4. This will be illustrated as 4(5x + 6)

It should be noted that an expression is used to show the relationship between the variables involved.

In this case, the appropriate value in the box will be 4. This will be illustrated as:

= 4(5x + 6)

= 20x + 24

In conclusion, the value is 4.

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Answer:

50.24 in²

Step-by-step explanation:

[tex]A = \frac{1}{4} \times (22/7) \times 8^2 = 0.25 \times 3.14 \times 64\\= 50.24[/tex]

➲ Hope this helps.

➲ Wish you the best of luck. :)

diameter of circle= 8 inch.

so, radius of circle= d/2 = 4 inch

now

area of circle=πr²

22/7 × (4)²

50.24 inc.

The correct option is D. The graph of f(x) is shifted 10 units down.

In mathematics, a graph is described as a pictorial depiction or diagram that organizes data or values.

The graph's points frequently represent the relationship among two or more things.

For the given question;

The function is given as; f(x) = 1/x

Where x is the domain which is shown on x axis.

and f(x) is the range which is shown on y axis.

Thus, for the relation of g(x) = 1/x -10.

Whatever the value of the input for x, the output is shown on y axis.

Now, as the value expression is decreased by 10, thus the output value for y will reduced by 10.

Therefore, the graph of f(x) will shift downward by 10 units.

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Answer:

59.3° (nearest tenth)

Step-by-step explanation:

Cosine Rule (for finding angles)

[tex]\boxed{\sf \cos(C)=\dfrac{a^2+b^2-c^2}{2ab}}[/tex]

where:

From inspection of the given triangle:

Substitute the values into the formula and solve for G:

[tex]\implies \sf \cos(G)=\dfrac{6^2+15^2-13^2}{2(6)(15)}[/tex]

[tex]\implies \sf \cos(G)=\dfrac{36+225-169}{180}[/tex]

[tex]\implies \sf \cos(G)=\dfrac{92}{180}[/tex]

[tex]\implies \sf G=\cos^{-1} \left(\dfrac{92}{180}\right)[/tex]

[tex]\implies \sf G=59.26213133...^{\circ}[/tex]

Therefore, the measure of angle G is 59.3° (nearest tenth).

The height of the tree in Jasmine's scale drawing is 6.25 inches.

A scale drawing is a smaller version of a larger image or drawing. The scale drawing is usually reduced at a constant dimension

Scale of the drawing = original dimensions / dimensions of the scale drawing

The first step is to determine the original height of the tree:

Height of the tree from Luis' scale drawing = (7.5 x 10) / 3 = 25 ft

Height of the tree in Jasmine's scale drawing = (5 x 25) / 20 = 6.25 inches

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Answer:

80

Step-by-step explanation:

Because 400 times 20% is 80 so 80 would be the missing value.

Answer: 2000

Step-by-step explanation:

20% of x = 400

20% = 0.2

[tex]0.2x=400[/tex]

x=2000

Answer:

14 units,

Step-by-step explanation:

Just count down the graph

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)

Answer:

the answer would be 14 units

Step-by-step explanation:

you can count down between the distance with the first point and the second point

the coordinate of X is at 8 units of P and at 4 units to the left of Q

So the coordinate of X is: -5 + 8 = 3

We know that point X is between points P and Q, in such a way that the ratio between the lengths of the segments PX and XQ is 2:1

First, we can length of the segment PQ is equal to the difference between their coordinates, so we get:

L = 7 - (-5) = 12

Then the length of segment PQ is 12 units, if we divide that in 3 we will get:

12/3 = 4 units.

So the segment PQ can be divided into 3 segments of 4 units each.

If the ratio PX to XQ is 2:1

Then the segment PQ must be divided into 3 parts, such that PX takes two of these parts and XQ is the remaining one.

Then the coordinate of X is at 8 units of P and at 4 units to the left of Q

So the coordinate of X is: -5 + 8 = 3

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The perimeter and area of the complete rectangle is 52 units and 168 square units.

As per the question statement, We are given a big rectangle in which the area of two small rectangle is given as 40 square units and 30 square units.

We are supposed to find the perimeter and area of the complete rectangle.

Let us first consider the small rectangle with area [tex]A_{1}[/tex] 40 sq units as [tex]R_{1}[/tex] with length [tex]L_{1}[/tex] = 5 units.

Let width of [tex]R_{1}[/tex] be [tex]W_{1}[/tex]

Therefore [tex]L_{1} W_{1} = A_{1}[/tex]

therefore, [tex]5*W_{1} = 40\\W_{1}=8 units[/tex]

Let us now consider the small rectangle with area [tex]A_{2}[/tex] 30 sq units as [tex]R_{2}[/tex]

with length [tex]L_{2}[/tex] = 6 units.

Let width of [tex]R_{2}[/tex] be [tex]W_{2}[/tex]

Therefore [tex]L_{2} W_{2} = A_{2}[/tex]

[tex]6*W_{2} =30\\W_{2}=5 units[/tex]

Now the length of breadth of the big rectangle be L and W respectively.

Therefore L = [tex]5+7=12 units[/tex]

and W = [tex]6+8=14 units[/tex]

Therefore perimeter of main rectangle = [tex]2(L+W)=2(14+12)=52 units[/tex]

And area of main rectangle = [tex]L*W=14*12=168 square units[/tex]

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Therefore the equation of the line in function-form is f(x)=-2x-1

An equation of a line on the cartesian plane is given by y=mx+c. Here m denotes the slope of the line and c denotes the y-intercept.

Slope of a line is defined as the inclination of the line along the positive   x- axis . Slope is calculated by the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}.[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points on the line.

y-intercept is defined as the point where the line passes through the y-axis.

From the graph we can see that the line passes through (0,-1)and (-1,1)

therefore slope of the line is

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\or, m=\frac{1-(-1)}{-1-0}\\or, m=-2[/tex]

Now we know that the equation of a line passing through a point [tex](x_1,y_1)[/tex] and with slope m is given by

[tex]y-y_1=m(x-x_1)\\[/tex]

Substituting the values in the equation we get

y-(-1)=-2(x-0)

or, y=-1-2x

Therefore the equation of the line in function-form is f(x)=-2x-1 .Hence the second option is correct.

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Answer:

69,000,000

Step-by-step explanation:

UHhhHh 6.9 * 10^7 written in standard form is 69,000,000.

Answer:

6.9 × 10 × 10 × 10 × 10 × 10 × 10 × 10

_____________________________________________________
What is standard form?

We can think of the standard form as the most common way of representing a mathematical element, through numerical form.

Six point nine times 10 to the power of 7 is not in standard form, because the number is described using words.

Exponents are not included under standard form.

________________________________________________________
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Answer:

Step-by-step explanation:

8 = 11 - v

8 - 11 = 11 - v - 11   Subtract 11 from both sides of the equation.

-3 = -v

3 = v Multiply both sides by -1

v = 3

Check:

8 = 11 - 3

8 = 8

Given points           Reflected points             Dilated points              

D ( 6, 3 )                ⇒ D' ( -6, 3 )                  ⇒ D'' ( 2, -1 )

E ( 9, 3 )                ⇒ E' ( -9, 3 )                   ⇒ E'' ( 3, -1 )

F ( 9, 12 )              ⇒ F' ( -9, 12 )                  ⇒ F'' ( 3, -4 )

G ( 6, 12 )               ⇒ G' ( -6, 12 )                ⇒ G' ( 2, -4 )

Given data

The dimensions of the rectangle DEFG is

D ( 6, 3 )

E ( 9, 3 )

F ( 9, 12 )

G ( 6, 12 )

Reflecting across y axis

Reflecting across y axis is done for example A ( x, y ) to AA

AA will be ( -x, y ).

Using this procedure we get points D'E'F'G' as follows

D ( 6, 3 ) ⇒ D' ( -6, 3 )

E ( 9, 3 ) ⇒ E' ( -9, 3 )

F ( 9, 12 )  ⇒ F' ( -9, 12 )

G ( 6, 12 ) ⇒ G' ( -6, 12 )

To dilate by factor n with the center of dilation at the origin. for example B ( x, y ) to BB

BB will be ( -nx, -ny )

using the procedure we get the points D''E''F''G" as follows

D ( 6, 3 ) ⇒ D' ( -6, 3 ) ⇒ D'' ( 2, -1 )

E ( 9, 3 ) ⇒ E' ( -9, 3 )   ⇒ E'' ( 3, -1 )

F ( 9, 12 )  ⇒ F' ( -9, 12 )  ⇒ F'' ( 3, -4 )

G ( 6, 12 ) ⇒ G' ( -6, 12 ) ⇒ G' ( 2, -4 )

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complete question

The complete question is attached

The numbers ordered from the greatest to the least is

4

15/5

0.5

-1/5

-1.2

-49

From the given question, we are to order the given numbers from the greatest to least.

The given numbers are

-49

-1/5

0.5

4

-1.2

15/5

First, we will convert the fractions to decimal or whole number

-1/5 = -0.2

15/5 = 3

Now, we will order the numbers from the greatest to the least

4 > 3 > 0.5 > -0.2 > -1.2 > -49

That is,

4 > 15/5 > 0.5 > -1/5 > -1.2 > -49

Hence, the numbers ordered from the greatest to the least is

4

15/5

0.5

-1/5

-1.2

-49

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All work and answers are provided in the attached screenshot! :)

Have a great day! :)

Solution:

The word correlation is used in everyday life to denote some form of association. We might say that we have noticed a correlation between foggy days and attacks of wheeziness. However, in statistical terms, we use correlation to denote the association between two quantitative variables. We also assume that the association is linear, that one variable increases or decreases a fixed amount for a unit increase or decrease in the other. The other technique that is often used in these circumstances is regression, which involves estimating the best straight line to summarise the association.

Correlation coefficient

The degree of association is measured by a correlation coefficient, denoted by r. It is sometimes called Pearson’s correlation coefficient after its originator and is a measure of linear association. If a curved line is needed to express the relationship, other and more complicated measures of the correlation must be used.

The correlation coefficient is measured on a scale that varies from + 1 through 0 to – 1. Complete correlation between two variables is expressed by either + 1 or -1. When one variable increases as the other increases the correlation is positive; when one decreases as the other increases it is negative. The complete absence of correlation is represented by 0.

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Answer: 50 points

Step-by-step explanation: