A consumer advocacy group has received complaints that a particular potato chip manufacturer is producing bags that contain less than the advertised 1.75 ounces of chips. A SRS of 150 bags of flour is weighed and the sample mean weight is found to be 1.74 ounces. If we assume a population standard deviation of 0.08 ounces, use a hypothesis test to test the claim that the bags are being under-filled.
1: What is the null hypothesis?
2: What is the alternative hypothesis?

Answer:

For the first function, F(pi:3) = sin(2 * pi:3) = sin(6 * pi / 3) = sin(2 * pi) = 0.

For the second function, f(-1) = 3 * -1 - (-1)^2 = -3 + 1 = -2.

Step-by-step explanation:

It looks like you are trying to find the value of two different functions at specific points.

For the first function, F(x) = sin(2x) and x0 = pi:3, we want to find the value of F(x) when x = pi:3. Plugging this value into the function gives us F(pi:3) = sin(2 * pi:3) = sin(6 * pi / 3) = sin(2 * pi) = 0.

For the second function, f(x) = 3x - x^2 and x0 = -1, we want to find the value of f(x) when x = -1. Plugging this value into the function gives us f(-1) = 3 * -1 - (-1)^2 = -3 + 1 = -2.

Answer:

B

[tex]circumference = \pi \: d \\ = 3.14 \times 20 \\ = 62.8 \: inches[/tex]

Answer:

Step-by-step explanation:

-1 +2=1

2+2=4

5+1=6

On solving the provided question, we can say that - the percentage value of 12 % of 90 = 10.8

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

here,

12% of 90 = 12/100 X 90

= 0.12 X 90 = 10.8

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In algebra, the vertex form of a quadratic equation is a way of expressing the equation in the form:[tex]y = a(x - h)^2 + k[/tex]

where (h, k) is the vertex of the parabola defined by the equation. The value of 'a' determines whether the parabola opens up or down and the value of 'h' and 'k' determine the position of the vertex on the coordinate plane.

For example, the standard form of a quadratic equation is:

[tex]y = ax^2 + bx + c[/tex]

To convert this to vertex form, you would first complete the square to get all the terms of x on one side of the equation and a constant on the other side. Then, you would put the equation in the form shown above.

So, given the equation [tex]y = 3x^2 + 6x - 4[/tex], we can complete the square to get:

[tex]y = 3(x^2 + 2x) - 4[/tex]

then rearrange it to

[tex]y = 3(x^2 + 2x + 1) -7 = 3(x+1)^2-10[/tex] which is in vertex form with vertex (-1,-10)

The vertex form of a quadratic function provides a convenient way to quickly identify the vertex of the parabola without having to complete the square every time.

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The correct question is:

Explain vertex form.

The  linear function is a straight line graph . Consequently, the third graph shows a linear function.

When the independent variable (often 'x') varies by a constant amount and the dependent variable (typically expressed by 'y') changes by a constant amount, the function is said to be linear. To show the relationship between two quantities, a linear graph is a straight line graph. This graph is useful for showing a result as a series of simple straight lines. The phrase "linear" refers to a straight line and excludes the usage of curves, dots, bars, etc. Plot coordinates at positions where x and y are identical in order to draw the line y = x. More points can be plotted even though three are plenty.

given

A linear function has a graph that is a straight line. A nonlinear function, then, has a graph that is not a straight line.

Something like y equals x cubed or y equals e to the power of x is an illustration of this. Furthermore, if we look closely at our graph, we can see that the line is not vertical.

The graph of a linear function is a straight line. Consequently, the third graph shows a linear function.

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Answer:

Step-by-step explanation:

Answer:

973.45 mi²

Step-by-step explanation:

area of a sector

a = (∅/360) * πr²

a = (309/360) * π(19)²

a = 973.4486636536

Rounded

a = 973.45 mi²

Answer:

10/50 = 20/100

Step-by-step explanation:

Another way to represent this formula is:

[tex]\frac{is}{of} = \frac{percent}{100}[/tex]

Allow me to explain this to you.

What is 20% of 50?

"WHAT IS"

"20% (PERCENT)"

"OF 50"

[tex]\frac{x}{50} =\frac{20}{100}[/tex]

The variable, x, was used to replace the unknown value, which is 10.

Answer:

no f-ing clue

Step-by-step explanation:

On solving the provided question, we can say that 50 will therefore be the missing number in the odd numbers 2 5 10 x 2637.

A number that is odd is one that can't be partitioned flawlessly into matches. One remains after dividing an odd number by two. The numbers 1, 3, 5, 7, 9, 11, 13, and 15 are consecutively odd. While odd numbers cannot be divided in half, even numbers can. 3, 5, 7, 9, 11, 13, and 15 are unusual cases. Even numbers include 2, 4, 6, 8, 10, 12, and 14.

According to the given question:

Following the numbers 3, 5, 7, 9, 11, and 13, which are all odd numbers, the provided series moves on to 13.

Therefore,

After 37, there will be a break before 50.

50 will therefore be the missing number.

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On solving the provided question, we can say that in this function f(x) = /16/1224 x^2 + 7x/5 + 1.5 = > f(2) = 2234.2454

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

here,

in this function

f(x) = /16/1224 x^2 + 7x/5 + 1.5

f(2) = 2234.2454

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Answer:

-5/4

Step-by-step explanation:

slope(m)= y2-y1/x2-x1

from the graph 5-0/-2-2

=5/-4

answer = -5/4

Length of fence = Circumference of the pool – width of the gate. Length of fence = 6.28x – 150 cm.

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Answer: 0.07666666666666666666666666666667.

Step-by-step explanation: Divide 75 from 5.75. You earn 7 seconds every hour.

Answer:

0.0766666666666667 (you can round it however you want)

Step-by-step explanation:

5.75 ⇒ 75

     ? ⇒ 1

5.75 × 1 = 5.75

5.75 ÷ 75 = 0.0766666666666667

= 0.08

Answer:

7. x = 37.5

8. x = 8

Step-by-step explanation:

7. The sides of the triangles are proportional, therefore:

x/20 = (46 - 16)/16

x/20 = 30/16

Cross multiply

x*16 = 30*20

16x = 600

Divide both sides by 16

x = 600/16

x = 37.5

8. The sides of the triangles are proportional. Therefore,

(7x - 1)/22 = (3x + 1)/10

Cross multiply

10(7x - 1) = 22(3x + 1)

70x - 10 = 66x + 22

Collect like terms

70x - 66x = 10 + 22

4x = 32

4x/4 = 32/4

x = 8

The solution is Option A.

The shortest distance is given by the two hypotenuses of the triangles and the distance is X = 7.8 cm

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the shortest distance be represented as X

Let the first triangle be the first face of the rectangular box ΔABC

The length of the triangle AB = 3 cm

The height of the triangle BC = 2 cm

Now ,

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

The measure of AC = √ ( 3² + 2² )

The measure of AC = √13 cm

And , the second triangle is the second face of the rectangular box ΔDEF

The length of the triangle DE = 4 cm

The height of the triangle EF = 2 cm

The measure of DF = √ ( 4² + 2² )

The measure of DF = √18 cm

Now , the shortest distance X = The measure of AC  + measure of DF

Substituting the values in the equation , we get

The shortest distance X = √13 cm + √18 cm

The shortest distance X = 3.60 + 4.24

The shortest distance X = 7.8 cm

Therefore , the value of A is 7.8 cm

Hence , the shortest distance for the ant is 7.8 cm

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Answer:

40 Post-it notes

Step-by-step explanation:

10/2 = 5 on the side that measures 10"

16/2 = 8 on the side that measures 16"

5 x 8 = 40 post-it notes

Answer:

40

Step-by-step explanation

area of whiteboard is [tex]160 inches^{2}[/tex]

area of post it is [tex]4 inches ^{2}[/tex]

160/4 is 40 post it notes

Answer:

a) 15m²

b) 750cm³

Step-by-step explanation:

(3+2)/2=5/2=2.5

2.5x6=15

a) 15m²

1/20=x/15

15=20x

x=15/20

x=3/4 = 0.75

1 liter is 1000cm³

1000x0.75

b) 750cm³

Answer:

(x+6)^2 + (y-4)^2=36

Step-by-step explanation:

E2020

Answer:

Diameter = 33 feet

Step-by-step explanation:

Diameter = 2 x radius

Given that the volume = 18174 [tex]ft^{3}[/tex], then;

Volume of sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

where r is the radius of the sphere.

Thus,

18174 = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex]r^{3}[/tex]

         = [tex]\frac{88}{21}[/tex] [tex]r^{3}[/tex]

18174 x 21 = 88 [tex]r^{3}[/tex]

381654 = 88 [tex]r^{3}[/tex]

[tex]r^{3}[/tex] = [tex]\frac{381654}{88}[/tex]

   = 4336.9773

r = [tex]\sqrt[3]{4336.9773}[/tex]

r = 16.3078

The diameter of the sphere = 2 x 16.3078

                                              = 32.6156

                                              = 33 feet

Answer: -2, -3, and -4.

Step-by-step explanation:

The range is all the Y Values the graph uses, and the Y values range from -0.5 to -5.5, making every number in between those included.

Answer:

9 over 12 and 20 over 12.......

Answer:

  (b)  No solution

Step-by-step explanation:

You want the solution to 0.5(-2+ 4d) - 2d = -13.

Eliminating the parentheses using the distributive property, we have ...

  -1 +2d -2d = -13

Collecting terms gives ...

  -1 = -13 . . . . . false

No value of d will make this true. There is No Solution.

1) The equation of a line of best fit is; y = -1.15x + 102.8

2) The predicted monthly cost for an average temperature of 25°F is $74.05

The equation of a line of best fit is represented by the equation;

y = mx + c

where;

m is the slope

c is the y-intercept

1. To calculate the slope here, we will use the formula;

Slope = (y₂ - y₁)/(x₂ - x₁)

Using two coordinate points on the scatter plot, (72, 20) and (20, 80), we have the slope as;

Slope (m) = (80 - 20)/(20 - 72)

Slope = 60/-52

Slope = -1.15.

Plug in -1.15 for m and (a, b) = (72, 20) into the formula; y = mx + c to get;

20 = -1.15(72) + c

c = 20 + 82.8

c = 102.8

The equation  will now be;

y = -1.15x + 102.8

2. Monthly heating cost, y, for a month with an average temperature of 25°F (x) will be calculated by plugging in 25 for x in the equation of line of best fit gotten earlier to get;

y = -1.15(25) + 102.8

y = 102.8 - 28.75

y = $74.05

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Answer:

Step-by-step explanation:

Y WILL BE 11 THATS ALL I KNOW

Step-by-step explanation:

Hamiltonian function, also called Hamiltonian, mathematical definition introduced in 1835 by Sir William Rowan Hamilton

Answer:

x = -8

Step-by-step explanation:

3x + 15 - 8 - 9x = 55

(3x+−9x)+(15+−8)=55(Combine Like Terms)

−6x+7=55

−6x=48

x=−8

Answer:

When the leading coefficient is positive, the graph opens up. It means the vertex is its minimum.

When the leading coefficient is negative, the its vertex is its maximum.