Caleb needs to solve the problem 2,406 ÷ 6. In what place is the first digit of the quotient for the problem 2,406 ÷ 6?

Part A

Extend the table so that we have row and column totals as shown in the diagram below.

There are 986 accurate orders from all four restaurants combined, out of 1125 orders total. The probability of an accurate order is 986/1125. Selecting two such orders, with replacement, means we get a probability of

(986/1125)*(986/1125) = 0.7682 which is approximate.

Now to the question of independence vs dependence. It all comes down to this: Does the first selection affect the second selection? If so, then we have dependent events. Otherwise the events are independent. Because we put the first selection back (or replaced it with an equivalent order), this means the first selection does not alter the second selection. The two selections effectively exists in their own separate universe so to speak.

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Part B

This time, we aren't putting the order back in the pile. Whatever we select is taken out entirely without replacement. The first selection will affect the second one. The probability of getting an accurate order for the first selection is 986/1125 = 0.8764 while the second selection is slightly different at 985/1124 =  0.8763. This difference is enough to show that we have dependent events. The second event depends on the first.

Note the second fraction has each term drop by 1.

The probability of picking two accurate orders, when replacement is not made, is (986/1125)*(985/1124) = 0.7681 approximately

Answer:

A. C = (d-ab)/a

Step-by-step explanation:

a(c + b) = d

a(c + b)/a = d/a

c + b = (d/a)

c = (d/a) - b

a(c + b) = d

ac + ab = d

ac = d - ab

ac/a = d/a - ab/a

c = (d/a) - b

Answer:

x = - 14

Step-by-step explanation:

Given equation

Putting the value of y

Hope it's helpful!

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The value of x for the given equation -3x = y + 51 such that the value of y is -9 will be -14.

An equation is said to be linear if the maximum power of the variable is consistently unity.

More than one variable may be present inside a linear equation.

A formula known as an equation uses the same sign to denote the equality of two expressions.

As per the given equation,

-3x = y + 51

At y = -9

-3x = -9 + 51

-3x = 42

x = -14

Hence "The value of x for the given equation -3x = y + 51 such that the value of y is -9 will be -14".

For more about the equation,

brainly.com/question/10413253

#SPJ2

Step-by-step explanation:

(-3,-2)

that is the translation matrix for this question

Answer:

c/-9+6=14

c/-9=14-6

c/-9=8

c=8×(-9)

c= -72

Therefore the answer is (b)

Answer: 50 * 100 = 5000

Step-by-step explanation:

a simple way of multiplying numbers that are a 1 with zeros is by simply moving the zeros from that number to the other number

100 has 2 zeros, so you ad them to the 50. 50 with 00 is 5000

Answer: 5O x IOO = 5OOO

Step-by-step explanation:

5OOO, think of it like 5 x 1, 5 x 1 = 5, now add 3 zero’s since there are 3 zeros.

Answer:

1270 a month on expenses

Answer:

1270 a month

Step-by-step explanation:

There is 4 weeks for month so you multiply 150 x 4 = 600 and just add 165 and 505 which is equal to 1270

Answer:

y=3

Step-by-step explanation:

Horizontal Lines

Answer:

17

34

17

17

equal

is

y = 17x

Step-by-step explanation:

After 1 hour , 17   bicycles are produced

After 2 hours, 34 bicycles are produced

Ratio of bikes produced per hour after one hour is

= no. of bikes produced after 1 hr / no of hours

= 17 / 1 = 17

Ratio of bikes produced per hour after two hours is

= no. of bikes produced after 2 hrs / no of hours

= 34 / 2 = 17

a. equal

b. is

equation of y is

no of bikes produced = (rate/ hour) * no of hours

y = 17 * x

Answer: The answer is 40.

Step-by-step explanation: 7(7-9) when you use distributive property you will use the 7 outside the parenthesis. Multiply the property inside. then you will get 49-9. Then you will solve it and get the answer 40.

Answer:

18

Set up a ratio since they are similar (congruent in the ratio of side length):

[tex]\frac{52}{24} =\frac{39}{x}[/tex]

Cross multiply:

52x = 936

x = 18

Answer:

a. f(x)=(x+2)(x-1)(x-3)

Step-by-step explanate

Answer:

1) 1076.4ft^2

2). 6561.68ft

3). 2.057kg

4). 1.25×10^-1

5). 6.58×10^1km

6). 278mg

Answer:

Step-by-step explanation:

y = mx + b

m = $25 and b = $40

(a). y = 25x + 40 , where x-value is hours of work and y-value is total amount of money consumer will pay.

(c). The y-intercept is a flat fee.

Answer:

Taxi Cost = $47.78

Step-by-step explanation:

Taxi Cost = Cost of the ride + (Cost of the ride × sale tax %)        5% = .05 as a

                                                                                                          decimal

Taxi Cost = $45.50 + (45.50 × .05)

 Taxi Cost = $45.50 + $2.275)

  Taxi Cost = $47.775

   Taxi Cost = $47.78

Answer:

White Marbles: 56

Step-by-step explanation:

Let number of white marbles be x

7/10=x/136-x

10x=7(136-x)

10x=952-7x

17x=952

x=56

Answer:

56

Step-by-step explanation:

7/17 * 136 = 56.

Answer:

200miles per hour andv50 9

Answer:

a.) 130°

b.) 70°

Step-by-step explanation:

For a given triangle

The sum of all angles on a straight line is equal to 180°

Now,

50° + a = 180°

Subtract 50° from each side we get,

50° - 50° + a = 180° - 50°

a = 130°

Thus, The size of the angle marked a is 130°

The sum of all angles in a triangle is equal to 180°

Now,

b + 50° + 60° = 180°

b + 110° = 180°

Subtract 110° from both side we get,

b + 110° - 110° = 180° - 110°

b = 70°

Thus, The size of the angle marked b is 70°

-TheUnknownScientist 72

Answer:

1/12

Step-by-step explanation:

find the least common multiple of the denominators.

which is 12

so 1/4=3/12

2/3=8/12

1/2=6/12

so 3/12- 8/12 - 6/12 = -11/12

so there is 1/12th pieces left after they all ate their portions of the pie

Answer:

26 ft

Step-by-step explanation:

Answer:

X=11.979425

Step-by-step explanation:

Divide 7.3 and 5.5 which gives you 1.327272… Then, divide 15.9 by 1.3272727

Answer:

[tex]y = \frac{-2}{3}x + 2[/tex]

Step-by-step explanation:

The first step is convert the given equation in a dependent and independent equation.

[tex]2x + 3y = 12[/tex]

[tex]3y = 12 - 2x[/tex]

[tex]y = 4 - \frac{2}{3}x[/tex]

[tex]x[/tex] is the independent variable and [tex]y[/tex] the dependent variable.

Since both lines are parallel the slope of both equations are the same

[tex]y = \frac{-2}{3}x + b[/tex]

Now for find the unknow [tex]b[/tex] replace the [tex]x[/tex] and [tex]y[/tex] fo the given point.

[tex]4 = (\frac{2}{3})3 + b[/tex]

[tex]4 = 2 + b[/tex]

[tex]4 - 2 = b[/tex]

[tex]2 = b[/tex]

So the final equation is equal to

[tex]y = \frac{-2}{3}x + 2[/tex]

Answer:

B:8x-9y=23

Step-by-step explanation:

First find the slope:

m= y2-y1/x2-x1

y2 is 3

y1 is -1

x2 is 1/2

x1 is -4

3-(-1) is 4

1/2-(-4) is 9/2

Now the equation looks likes this:

4 / 9/2

Which can be rewritten as

4*2/9

Thus the slope is 8/9

So the equation is

y=8/9x+b

Now you can substitute to find the y-intercept:

(you can do either (-4,1) or (1/2,3)

I am going to do (1/2,3) since it is easier

3=8/9(1/2)+b

Simplify:

3=4/9+b

Subtract 4/9 on both sides:

b=23/9

Thus the equation is

y=8/9x+23/9

Multiply 9 on both sides:

9y=8x+23

Subtract 8x on both sides:

8x-9y=23

Hope this helps!

Answer:

C. 5/4

Step-by-step explanation:

Slope formula is y=mx+b so your slope is m

In your equation y=5/4x-7/4, your slope is where m would be, so 5/4

Answer:

the slope of the equation is 5/4

Answer:

a = 57.5

b = 57.5

Step-by-step explanation:

XY=XZ so c=d

[tex]c = d = \frac{180 - 65}{2} = 57.5[/tex]

Now draw the XH

So angle YXH = 180 — 90 — 57.5 = 32.5

a+YXH=90

a+32.5=90

so a = 57.5

We know that a + 65 + b = 180

So 57.5 + 65 + b = 180

b = 180 — 122.5

b = 57.5

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

[tex] \fbox \colorbox{black}{ \colorbox{white}{a} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{57.5 \degree}}[/tex]

[tex]\fbox \colorbox{black}{ \colorbox{white}{b} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{57.5 \degree}}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

From the above diagram we can conclude that ~

Angle c = Angle a (Alternate interior Angle pair)

Angle d = Angle b (Alternate interior Angle pair)

and,

because their opposite sides are equal.

now, according to linear pair property ~

replacing Angle a with Angle c and Angle d with Angle b, because they are equal to one another ~

(because Angle c = Angle d)

So,

Answer:

A and C are correct

Answer:

y^2-7y+12

Step-by-step explanation:

muliply each unit of the first parentheses by the second

Answer:

The  answer would be -16

Step-by-step explanation:

Add

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