Divide each amount in the ratio given. $84in the ratio 2:1

The regression equation for the given data is y = -35.575 + 24.774 x.

Let x be the guests and y be the cost.

From the given table:
mean of x = ∑x / n

= 3+4+4+6+6+7+8+8 / 8

= 46/8

= 5.75

∑[tex]x^{2}[/tex] = 290

mean of y = ∑y/n

= 30+60+88+90+115+160+150+162 / 8

= 106.875

a = mean of y - mean of x * b

[tex]b = \frac{s_{xy} }{s_{xx} }[/tex]

[tex]s_{xx} \\[/tex] = ∑[tex]x^{2}[/tex] - (∑[tex]x)^{2}[/tex]/n

= 290 - 46*46/8

= 25.5

[tex]s_{xy} =[/tex] ∑xy - ∑x∑y / n

= 5548 - 46*855/8

= 631.75

a = 106.875 - 5.75*b

b = 631.75/25.5

b = 24.774

a = -35.575

Therefore the regression equation y = -35.575 + 24.774 x.

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the number of cups of red Lin needs is 27 cups

number of parts of red = 3

number of parts of yellow = 2

the ratio of red to yellow = 3:2

when lin's number of cups of yellow = 18

let the number of cups of red = x

3 red = 2 yellow

x red = 18 yellow

cross multiply:

3(18) = 2(x)

54 = 2x

divide both sides by 2:

54/2 = 2x/2

x = 27

Hence, the number of cups of red Lin needs is 27 cups

Answer:

0.6 x 2.2 = 1.32

2.2 x 0.6 = 1.32

Step-by-step explanation:

You just have to do 0.6 x 2.2 and flip it to get your second model.

Answer:

0.6 x 2.2 = 1.32

2.2 x 0.6 = 1.32

Step-by-step explanation:

the commutative property allows this to happen; flip the order in which the numbers fall

yw have a great day

Answer:

Step-by-step explanation:

17/2=8.5

8.5 x 9=76.5

y = 5x + 35

When x = 0, we substitute x = 0 into the equation above and then solve for y

y = 5(0) + 35

y = 0+ 35

y = 35

when x =3, substitute into the equation and then solve for y

y = 5(3) + 35

y = 15 + 35

y = 50

when x=-7, substitute x=-7 into the equation above and then solve for y

y = 5(-7) + 35

y = -35+ 35

y=0

x y (x,y)

0 35 (0, 35)

3 50 (3, 50)

-7 0 (-7, 0)

The perimeter is determine as the add of the sides of the figure. In this case:

For the area we will divide the figure as follow:

The total area will be:

We find the are of a rectangle by:

Where h is height and b is base

Then:

Then the total area is:

In feets:

The length of the longer piece is 39.4 ft.

Given, a forty-foot piece of wire was cut into two pieces.

The length of one-piece is 9 times the length of the other.

Let the length of one piece be x,

and the length of the other piece be 9x

Now, according to the question

x + 9x = 44

10x = 44

x = 4.4

then, the length of the longer piece be 9×4.4 = 39.4

Hence, the length of the longer piece is 39.4 ft.

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for transformation equivalent to reflection across the x axis

rotate 180 degree about the origin and reflection about the x axis.

option C is correct.

There is no significant difference between the cyber security breaches of the two destinations and the values are t-value is 0.16221, the p-value is .874721.

We use two sample t-test to check for the significance.

We take the sample of Asia as treatment 1 and that of Europe as treatment 2

Treatment 1

[tex]N_{1}[/tex]: 5

[tex]df_{1}[/tex] = N - 1 = 5 - 1 = 4

[tex]M_{1}[/tex]: 24.6

[tex]SS_{1}[/tex]: 77.2

[tex]S^{2} _{1}[/tex] = [tex]SS_{1}[/tex]/(N - 1) = 77.2/(5-1) = 19.3

Treatment 2

[tex]N_{2}[/tex]: 6

[tex]df_{2}[/tex] = N - 1 = 6 - 1 = 5

[tex]M_{2}[/tex]: 23.5

[tex]SS_{2}[/tex]: 1051.5

[tex]S^{2} _{2}[/tex] = [tex]SS_{2}[/tex]/(N - 1) = 1051.5/(6-1) = 210.3

T-value Calculation

[tex]S^{2} p_{}[/tex] = ((  df1/(df1 + df2)) * s21) + ((df2/(df2 + df2)) * s22) = ((4/9) * 19.3) + ((5/9) * 210.3) = 125.41

s2M1 = s2p/N1 = 125.41/5 = 25.08

s2M2 = s2p/N2 = 125.41/6 = 20.9

t = (M1 - M2)/√(s2M1 + s2M2) = 1.1/√45.98 = 0.16

The t-value is 0.16221. The p-value is .874721. The result is not significant at p < .05

Hence the answer is there is no significant difference between the cyber security breaches of the two destinations and the values are t-value is 0.16221, the p-value is .874721.

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To write the coordinates of a point in a x - y plane you:

1. Find the distance in x-axis:

The given point A is 7 units distance in x-axis

2. Find the distance in y- axis

The given point A is -5 units distance in y-axis

You write the coordinates in form (x,y)

As x=7 and y=-5

Answer: -5,7

Step-by-step explanation:

For the function F(x)=3x-1, the value for F(-2) will be (-7).

How to tackle this type of question of function?

Put value of variable in the given function.

Here,

x=-2

then, F(-2) = 3(-2) - 1

         F(-2) = -6 - 1

         F(-2) = -7

Hence, F(-2) = (-7)

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The equation used to find the amount of money the store bought the television sets is 1.25a  = 312.50

Romano pays 312.50 dollars for a television set. The mark up price of the television set is 25%.

The equation that can be used to find the amount of money the store paid for the television sets can be calculated as follows;

Therefore,

25% of a + a = 312.50

where

0.25a + a = 312.50

Therefore, the equation is 1.25a  = 312.50

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Answer:

60

Step-by-step explanation:

The age of Milkhail is 40 years .

In the question ,

it is given that

the the sum of ages of Gabrielle and Milkhail is = 95

let the age of Milkhail be "m" .

given that Gabrielle is 15 years older than Milkhail

So, the age of Gabrielle is = m + 15

the equation representing the sum of ages is given by

total age = age of Milkhail + age of Gabrielle

95 = m + m + 15

adding the like terms ,

we get

95 = 2m + 15

subtracting 15 from both the sides

2m = 95 - 15

2m = 80

dividing both sides by 2

m = 80/2

m = 40

Therefore , the age of Milkhail is 40 years .

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The triangle has an area of 60 square units.

Herein we find the case of a triangle whose vertices are set on a Cartesian plane and whose area can be determined by means of the Heron's formula:

A = √[s · (s - MJ) · (s - JN) · (s - MN)]

s = (MJ + JN + MN) / 2

Where MJ, JN and MN are the side lengths of the triangle and s is the semiperimeter of the triangle.

First, determine the side lengths:

MJ = √[(16 - 16)² + [2 - (- 8)]²]

MJ = 10

JN = √[(4 - 16)² + (0 - 2)²]

JN = √[(- 12)² + (- 2)²]

JN = 2√37

MN = √[(4 - 16)² + [0 - (- 8)]²]

MN = √[(- 12)² + 8²]

MN = 4√13

Second, determine the semiperimeter:

s = (1 / 2) · (10 + 2√37 + 4√13)

s ≈ 18.294

Third, calculate the area of the circle:

A = √[18.294 · (18.294 - 10) · (18.294 - 2√37) · (18.294 - 4√13)]

A ≈ 60.002

The area of the triangle is approximately equal to 60 square units.

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The of the hypotenuse of the right triangle having a length of 20 units for one leg and 12 units for the other is √( 544 ) units.

Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

This is expressed as;

(Hypotenuse)² = (Leg 1 )² + (Leg 2)²

Given the data in the question;

Plug the given values into the formula above and solve for hypotenuse.

(Hypotenuse)² = (Leg 1 )² + (Leg 2)²

Hypotenuse = √( (Leg 1 )² + (Leg 2)² )

Hypotenuse = √( (20 )² + (12)² )

Hypotenuse = √( 400 + 144 )

Hypotenuse = √( 544 ) units

Therefore, √( 544 ) units is the length of the hypotenuse.

Option D) is the correct answer.

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We must identify which graph corresponds to the function:

1) The function f(x) is a polynomial of degree 3, so it has 3 roots, i.e. it must cross the x-axis in 3 places. Taking into account this fact, we know that the 1st and 3rd graphs cannot represent the function f(x).

2) Now, when x takes a very big value, the cubic term of the polynomial dominates, and f(x) > 0 for x → ∞. From the remaining options, we see that the 2nd takes f(x) < 0 for x → ∞, so we can discard that option. The remaining option is the 4th graph, so we conclude that that is the correct option.

Answer: 4th graph.

We have to find how many ways we can group 23 students in groups of 4.

This can be calculated as a combination of 23 in 4, as order does not matter and there is no repetition.

We can calculate it as:

Answer: there are 8855 ways.

Answer:

z = 108

z/12 = 9

12 x z/12 = 12 x 9

12 x z/12 = 12 x 9

z = 12 x 9

= 108

Answer:

z = 108

Step-by-step explanation:

z / 12 = 9

Multiply 12 and 9

z = 12 * 9

12 * 9 = 108

z = 108

Hope I helped <3

for this we locate the point where y = 4, and find its ordered pair on the x-axis, and from the graph, x = - 3

answer: x = - 3

The function f(x) = {x + 3,  x < 0,    3      x ≥ 0} represents the graph.

What is graph?

In mathematics, the set of ordered pairings where f(x)=y exists is the graph of a function f. These pairs are Cartesian coordinates of points in two-dimensional space and so form a subset of this plane in the typical situation when x and f(x) are real integers.

As show in the graph we can see that the function has a graph of x + 3 on left side of the y - axis for x < 0.

And the function has the constant graph y = 3 for x ≥ 0.

Therefore, the given graph is the graph of the function,

f(x) = {x + 3,  x < 0,    3      x ≥ 0}.

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Answer: 1.625

Step-by-step explanation:

13/8 = 1  5/8 = 1.625

x 31 36 41 46

y 10 8 6 4

I need to find the slope with these points​

we know that

To find out the slope, we need two points

take the points (31,10) and (36,8)

so

m=(8-10)/(36-31)

m=-2/5

m=-2/5

m=-0.40

therefore

Part 2)

we have

x -7 -4 -1 2

y -7 14 35 56

take the points (7,-7) and (-4,14)

m=(14+7)/(-4-7)

m=21/-11

m=-21/11

Answer:

scale factor k = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

the scale factor of Δ QRS to Δ LMN is the ratio of corresponding sides , image to original.

scale factor = [tex]\frac{QS}{LN}[/tex] = [tex]\frac{4}{3}[/tex]

Answer: y+8=m(x+8)

Step-by-step explanation: because you follow the form y-y1=m(x-x1)

In this case the answer is very simple. .

Step 01:

Data

large package = h cards

small package = k cards

Step 02:

large package - 4 = small package

h - 4 = k

h = k + 4

The answer is:

h = k + 4

1) Firstly, let's set a proportion to find out how mny cups of almonds are needed.

muffins cups of almonds

6 3/4

12 x

2)

Cross multiplying it:

6x = 12 * 3/4

6x = 9

x= 9/6

3

The length of the side of cube is 8.5 inches.

What is volume of a cube?

A cube is a solid object that is three dimensional and has six square faces, facets, or sides, three of which meet at each vertex. One of the five Platonic solids, and the only regular hexahedron, is the cube. It consists of 8 vertices, 12 edges, and 6 faces.

The volume of a cube is a^3 cubic inches where a is the length of side of cube.

Give volume of a cube is 614.125 cubic inches.

Let the length of a side of cube is x inches.

Then volume of cube = x^3 cubic inches.

Now,

x^3 = 614.125

Finding cube root and we get

=> x^3 = 8.5 * 8.5 * 8.5

=> x = 8.5 inches

Therefore, the length of the side of cube is 8.5 inches.

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Since the distanc function is given by

in order to find the distance at 8 seconds, we need to substitute t=8 into this function, that is,

By taking into account that g=32 ft/sec^2, we have

which gives

Therefore, the answer is 1024 ft, which corresponds to the last option.