Use technology or a z-score table to answer the question.
The weights of boxes of rice produced at a factory are normally distributed with a
mean of 20 ounces and a standard deviation of 1.5 ounces. Consider a shipment of 1500 boxes of rice.
How many of the boxes will weigh 18 ounces or less?
138 boxes
154 boxes
632 boxes
781 boxes

The term best describes point X is option A. Centroid.

The point of intersection of a triangle's medians is its centroid (the lines joining each vertex with the midpoint of the opposite side).

If the surface is plane triangle approximately and mass is uniformly distributed, then its center of mass will lie on the centroid of that triangle.

If the triangle has its vertices as   [tex](x_1, y_1), (x_2, y_2) , \: (x_3, y_3)[/tex]then the coordinates of the centroid of that triangle is given by:

[tex](x,y) = \left( \dfrac{x_1 + x_2 + x_3}{3} + \dfrac{y_1 + y_2 + y_3}{3} \right)[/tex]

The term best describes point X is option A. Centroid.

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The distance from his home to his work place is 118.125 miles

He drove from home to work at an average speed of 45 mph. Therefore,

speed = 45 mph

let

time = x

speed = distance / time

distance = 45x

His return trip home took 45 minutes longer because he could only drive at 35 mph. Therefore,

45 minutes = 0.75 hours

distance = 35(x + 0.75)

distance = 35x + 26.25

Therefore,

45x = 35x + 26.25

45x - 35x = 26.25

10x = 26.25

x = 26.25 / 10

x = 2.625

Therefore,

distance = 45(2.625) = 118.125 miles

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Answer:

4 ounces

Step-by-step explanation:

Answer:

1 stick butter is equivalent to __4___ ounces.

Step-by-step explanation:

1 stick of butter is equal to 4 ounces

The equation of line passing through (-2,3) and (3,0) will be (y - 3) = - 5/3 (x + 2). Then the correct option is B.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The graph is given below.

The equation of line passing through (-2,3) and (3,0) will be

The equation of line will be

(y - 3) = [(3 + 2) / (0 - 3)] (x + 2)

(y - 3) = - 5/3 (x + 2)

Then the correct option is B.

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Answer:

[tex]-24xy + 32y^2[/tex]

Step-by-step explanation:

Hello!

We can use the special binomial product formulas:

The simplified form is [tex]-24xy + 32y^2[/tex]

A triangle is a three-edged polygon with three vertices. The length of a side of the regular hexagon is √24 inches.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.

Given the perimeter of the equilateral triangle is 36 inches, therefore, the length of the side of the equilateral triangle is 12 inches. Now, the area of the equilateral triangle is,

Area of the equilateral triangle = (√3)/4 a²

                                                   = (√3)/4 × (12)²

                                                   = (36√3) inches²

Since the area of the equilateral triangle is equal to the area of the hexagon , therefore we can write,

Area of equilateral triangle = Area of Hexagon

(36√3) = (3√3)/2× a²

a² = 24

a = √24 inches

Hence, the length of a side of the regular hexagon is √24 inches.

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Answer:

162

Step-by-step explanation:

Given algebraic expression:

To:

Solution:

Simplify by plugging x = 6

We can conclude:

By evaluating this expression by x = 6 , the answer will be 162.

The table of values of the function y = 2x^2 is:

x  0   1   2   3   4

y  0   2  8   18   32

The equation of the function is given as:

y = 2x^2

When x= 0, we have

y = 2 * 0^2 = 0

When x= 1, we have

y = 2 * 1^2 = 2

When x= 2, we have

y = 2 * 2^2 = 8

When x= 3, we have

y = 2 * 3^2 = 18

When x= 4, we have

y = 2 * 4^2 = 32

So, the table of values is:

x  0   1   2   3   4

y  0   2  8   18   32

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Answer:

[tex] 4x^2y\sqrt[4]{3y} [/tex]

Step-by-step explanation:

[tex] \sqrt[4]{768x^8y^5} = [/tex]

[tex] = \sqrt[4]{256 \times 3(x^2)^4y^4y} [/tex]

[tex] = \sqrt[4]{4^4 \times 3(x^2)^4y^4y} [/tex]

[tex] = 4x^2y\sqrt[4]{3y} [/tex]

The number of players in the team would be 15 which can bring to the tournament.

A soccer squad collected $1511 to attend a competition. They spent $933.50 on a bus rental and $38.50 for each player on food.

A numerical expression is an algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

Let the number of players would be x

As per the given information, the required solution would be as:

Total budget = (per player meal)(x players) + bus rent

1511 = 38.50x + 933.50

Rearrange the terms and solve for x

1511 - 933.50 = 38.50x

577.50 = 38.50 x

Divide both sides by 38.50 into above equation,

x = 15

Therefore, the number of players in the team would be 15 which can bring to the tournament.

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Answer:

NNW(North-northwest)

The required compass heading of the submarine is 341 degrees.

To find the compass heading of the submarine, we need to determine the angle it makes in the north direction, clockwise.

Since the submarine is traveling 19 degrees west of north, the compass heading can be calculated as follows:

Compass Heading = 360 degrees - (Angle west of North)

Compass Heading = 360 degrees - 19 degrees

Compass Heading = 341 degrees

So, the compass heading of the submarine is 341 degrees.

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The tangent on the unit circle is y/x

The point on the unit circle is given as:

Point = (x,y)

By default

(cos(ø), sin(ø)) = (x,y)

This means that:

cos(ø) = x

sin(ø) = y

The tangent of an angle is:

tan(ø) = sin(ø)/cos(ø)

So, we have:

tan(ø) =y/x

Hence, the tangent on the unit circle is y/x

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Answer:

the answer to this question is c=-4

Answer:

12x - 60

Step-by-step explanation:

[tex]3x+12+9x-72\\=3x+9x+12-72\\=12x+12-72\\=12x-60[/tex]

Answer:

2 - 9 - 36

= - 43

Step-by-step explanation:

(hope it's Help)

Answer:

The circumference of a circle = 2πr = 9π inches

Or, 2πr = 9π

Or, r = 9/2

Or, r = 4.5 inches

The area of a circle = πr²

Or, The area of a circle = π×4.5×4.5

Or, The area of a circle = 20.25π square inches

Step-by-step explanation:

The only value that is in the domains of both functions is 0. The range of g(x) is all values less than or equal to 0. Then the correct options are C and F.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The graph of f(x) = √x is reflected across the x-axis and then across the y-axis to create the graph of function g(x).

Then the function g(x) will be

g(x) = -√(-x)

The domain of the f(x) and g(x) will be [0, ∞) and (-∞, 0] respectively.

The range of g(x) will be (-∞, 0].

The only value that is in the domains of both functions is 0.

The range of g(x) is all values less than or equal to 0.

Then the correct options are C and F.

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Answer:

C AND F

Step-by-step explanation:

Edge 2023

Both the slopes and the y-intercepts are different. Option C is the correct answer.

A straight line is an infinite length line that does not have any curves on it. A straight line can be formed between two points also but both the ends extend to infinity.

Here, slope intercept form of given equation:

    y = mx + c     ............(i)

where, m is slope of line and c is y-intercept.

Given equation of line;

      g(x) = y = -6x + 3

On comparing this with equation (i), we get

m = -6 and c = 3

Thus, Both the slopes and the y-intercepts are different. Option C is the correct answer.

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Answer:I think it’s A

Step-by-step explanation:

because it intersects. Sorry if it’s wrong

The value of f(0) in the function f(x) is -6

The coordinates are given as:

(-2, 0), (-1, 0), (1, 0), and (3, 0), and (0, -6)

To calculate f(0), we determine the function value when x =0

From the coordinate points, we have:

Point (0, -6)

This means that:

f(0) = -6

Hence, the value of f(0) is -6

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Answer:

Step-by-step explanation:

-2,1 or 3 only

Answer:

f(x) + g(x) = 3x - 2 + 2x + 1

(f + g)(x) = 5x - 1

Answer:

D

Step-by-step explanation:

If you think of the x-axis as your horizontal line, you can see that there is more than one value for x for y=0.

For instance, (-2,0), (0,0), (0,2).

Mike's claim that (5,28.6) is a point on the exponential function g(x) is incorrect

The points are given as:

(3,6.5) and (4,17.55)

Calculate the rate of change using:

r = y4/y3

This means that:

r = 17.55/6.5

r = 2.7

So, the next point on the graph is:

Next point = 2.7 * y4

Substitute 17.55 for y4

Next point = 2.7 * 17.55

Evaluate

Next point = 47.39

This means that the next point on the graph is (5,47.99)

Hence, Mike's claim that (5,28.6) is a point on the exponential function g(x) is incorrect

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The first step to solving almost any problem is to understand what the question is asking and what is given to us in order for us to solve for the question.  In this problem, we are given a graph and asked two questions.  One being what the coordinates of the vertex are and whether this parabola has a maximum or a minimum.  

Let's define what a vertex, maximum, and minimums are.

Now, looking at our problem we can see that our vertex is at the bottom therefore it would classify as a minimum.  Now that we know we have a minimum vertex, let us determine what the actual coordinates of the vertex are.  

We can see that we travel -3 in the x direction and -5 in the y direction which means that the coordinate for our vertex is (-3, -5) where the first number represents the x-value and the second number represents the y-value.

Answer:

(-3, -5)

Step-by-step explanation:

Here the vertex is also the minimum value; its x-coordinate is -3 and its y-coordinate is -5.  Thus, the vertex is at (-3, -5).  As stated above, this is the minimum value of the function.

Answer: =-6d+10d^2

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

If you look at the y values, they do not have a constant rate of change. The numbers in the row for y: 3+1 is 4. 4+1 is 5. 5+7 is 12 .12+19 is 31. 31+ 37 is 68. So, as you can see, the rates at which each number changes are not constant. Therefore, the table does not represent a linear function.

A fraction is a way to describe a part of a whole. The number of hours that Mr Mason painted each day is 1.625  hours.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The total number of hours that Mr Mason took to paint the fence is 6 2/4 hours, while the number of days taken by him is 4 hours. Therefore, the number of hours for which Mr Mason painted each day can be written as,

= (6 ²/₄)/4

= (26/4)/4

= 26/16

= 1.625 hours a day

Hence, the number of hours that Mr Mason painted each day is 1.625  hours.

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Step-by-step explanation:

13^2 + x^2 = 17^2

169 + x^2 = 289

289 - 169 = 120

x^2 = 120

[tex] \sqrt{120} = 10.9544511501[/tex]

x = 11.0

Problem 1

Any pair of equilateral triangles are always similar triangles. We can use the SSS (side side side) similarity theorem to prove this. One triangle is an enlarged copy of the other, or a shrunken reduced copy.

The rectangle is NOT similar to the square. They are different shapes. Similar figures are figures that are the same shape, but different sizes.

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Problem 2

horizontal/vertical = horizontal/vertical

24/x = 6/5

24*5 = 6x

120 = 6x

x = 120/6

x = 20

Answer: The flagpole is 20 ft high (about 2 stories tall)

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Problem 3

The formula to use is [tex]z = \sqrt{x*y}[/tex]

z = geometric mean of x and y

We multiply the numbers and take the square root. This only works for two values at a time. The geometric mean of three numbers will involve the cube root. Four numbers involves the 4th root, and so on.

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Problem 4

For each figure, the y is the altitude and can be determined using the geometric mean formula.

The decimal values are approximate.

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Problem 5

For 45-45-90 triangles, we divide the hypotenuse over sqrt(2) to find the leg length.

For the first triangle in the first row, we have y = 18/sqrt(2) = 9*sqrt(2) after rationalizing the denominator. Multiply top and bottom by sqrt(2).

Take this process in reverse to determine the hypotenuse if you know the leg length. This explains why the hypotenuse is 3.2*sqrt(2) for the second triangle in the first row.

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For 30-60-90 triangles, we go from the short leg x to the hypotenuse 2x.

Double the short leg to get the hypotenuse.

2x = 36

x = 36/2

x = 18

This is for the first triangle in the bottom row.

For the other triangle in this bottom row, we have a long leg of 4*sqrt(3). This must mean the short leg is exactly 4 units long. Therefore, the hypotenuse is 2*4 = 8 units long.

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