Find the slope of the line whose equation is 5y = x - 3.
5
-3
-3/5
1/5

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:

y=3

Step-by-step explanation:

Horizontal Lines

Answer:

y=-3/5(x+5)+4

Step-by-step explanation:

y=m(x-h)+k

y=-3/5(x+5)+4

Answer:

[tex]7-2i[/tex]

Step-by-step explanation:

As you're used to do in the real plane, midpoint is the average of Real and Imaginary part. So [tex]\frac{5+9}2 +i \frac{-7+3}2 = \frac{14}2+i\frac{-4}2 = 7-2i[/tex]

Answer:

-2+5i

Step-by-step explanation:

Answer: 1/6 x 3 and 1/6 of 3.

Step-by-step explanation:

Answer:

the product of some number (call it x) and 7 is:

7⋅x or just 7x

now take 15 less than that:

7x−15 or y=7x−15

Answer:

C

Step-by-step explanation:

3x² + 6x + 6 = 0 ( divide through by 3 )

x² + 2x + 2 = 0 ( subtract 2 from both sides )

x² + 2x = - 2

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = - 2 + 1

(x + 1)² = - 1 ( take square root of both sides )

x + 1 = ± [tex]\sqrt{-1}[/tex] = ± i ( subtract 1 from both sides )

x = - 1 ± i → C

Answer:

-5/10 or -1/2

Step-by-step explanation:

to find slope from two points, subtract the first y from the second (-2 - 3 = -5) and then subtract the first x from the second (5 - -5 = 10) and the answer is -5/10 which is equivalent to -1/2

the actual formula is [tex]\frac{y1-y2}{x1-x2}[/tex]

Answer:

C

Step-by-step explanation:

Answer:

the graph of x = a is a straight line parallel to y-axis at a distance a from the y-axis, on the right if a > 0 and on the left if a < 0. (iv) Graph of y = a.

Step-by-step explanation:

HOPES THIS HELPS MY FRIEND!!!

Answer:

c/-9+6=14

c/-9=14-6

c/-9=8

c=8×(-9)

c= -72

Therefore the answer is (b)

Answer:

A is corrcet

Step-by-step explanation:

i divied boys and girls by 2 and got my answer

Trust me

Step-by-step explanation:

A: false. since there are 10 girls in mrs. bovine's class, and the number that they are asking is an odd number, it is impossible to say true. the same with the boys, since there are 18 boys and 18 is an even number and what they are asking is also an odd number.

B: true. if we add all the total students together, the total is 26 students. the ratio is a simplified one, and 26 is also the second multiple of 13. there are 14 boys in the class, and 14 is also the second multiple of 7!

C: false. although 10 is the fifth multiple of 2, 15 is the third multiple of five. alas, this problem is not correct.

D. false. 16 is not a multiple of 3, but 28 is a multiple of 7.

Answer:

3/6  of a cup for every cup of water.

Step-by-step explanation:

Answer:

150kg

Step-by-step explanation:

50 oranges ----- 7.5 kg

1000 -------   x

50 * x = 1000 * 7.5

x = 7500 / 50

= 750/5

=150

Answer:

x=4

Step-by-step explanation:

4x-8+5x=28

9x-8=28

Add 8 to both sides.

9x=36

Divide 9 from both sides.

x=4

Hope this helps! Plz give brainliest!

[tex] {2}^{3} \\ = 2 \times 2 \times 2 \\ = 8[/tex]

[tex]8 + 9 = 17[/tex]

[tex] {3}^{2} + {2}^{3} \\ = 3 \times 3 + 2 \times 2 \times 2 \\ = 9 + 8 \\ = 17[/tex]

Do comment if you have any query.

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

As we can see, the problem can be solved in a single step, as it is just basic algebra. I'll start off with explaining the formula.

So what it is saying is that [tex]3^2=9[/tex] and that [tex]2^3=8[/tex]. We know that since [tex]3^2=3*3=9[/tex] and [tex]2^3=2*2*2=8[/tex].

Keep in mind that exponents are just the number of how many times the number is multiplied by itself.

Now that we know that, we can go into the second equation, it states that [tex]8+9=17[/tex] and it has relevancy because our top two equations give us the answers of 8 and 9.

Since we know what our answer is due to the 3rd question telling us. We can say that the final equation is true:

[tex]3^2+2^3=17?\\9+8=17?\\17=17[/tex]

After all of our reasoning, it is correct.

Answer:

A and C are correct

21 and 7.

let the greater number be x and smaller number be y.

it is given that x = 3y.

it is also given that 4y + 5x = 133.

=> 4y + 5 * 3y = 133.

=> 4y + 15y = 133

=> 19y = 133

=> y = 7

then, x = 3y = 3 * 7 = 21.

hope this helps. :)

Answer:

Half Dozen Donuts: $6.59

Donut Holes: $4.89

2 Vanilla Lattes: $6.98

Subtotal: $18.37

Tax: $1.47

Total: $19.84

Step-by-step explanation:

It finally worked. So I guess it only shows on computers, not mobile.

Answer:

no

she needs 6 boxes

Step-by-step explanation:

multiply the dimensions of the box which is 24.

multiply it by 3 because she has 3 boxes.

24 times 3 is 72

72≠128

part 2:

divide 128 by 24 which is 5.333

you cant have a third of a box so round it up to 6 .

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]

Step-by-step explanation:

(-3,-2)

that is the translation matrix for this question

Answer:

26 ft

Step-by-step explanation:

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:

Step-by-step explanation:

4 ⟶ 30 34 is rounded down to 30

86 ⟶ 90 86 rounded up to 90

34 ⟶ 30

86 ⟶ 90

34 is rounded down to 30

86 rounded up to 90

Calculate mentally 30 × 90 = 2700

The estimated product is 2700.

Answer:

7/4

Step-by-step explanation:

We can write equations for increasing stock and decreasing stock and find our answer.

Let number of hours be "h" for both to be same

For first, we can write:

13.66 + 0.05h

But, second one starts from noon, so already 12pm - 9am = 3 hours gone, so stock A increased by 3 x 0.05 = 0.15, so we equation would be:  

13.81 + 0.05h

Now, Stock B's equation [from noon]:

14.16 - 0.15h

Equate and solve:

so we will do 13.81 + 0.05h = 14.16 - 0.15h

number with number

variables with variables

0.2h   = 0.35

divide 0.2 both sides

answer is

1.75 or if its in fraction form 7/4

Answer:

1.75 hours

Step-by-step explanation:

(13.66 +3*0.05) + (0.05 * h) = 14.16 - (0.15 * h)

13.81 + 0.05h = 14.16 - 0.15h

0.05h + 0.15h = 14.16 - 13.81

0.20h = 0.35

h = 0.35/ 0.20

h = 7/4