As shift manager at a local fast food place, you are responsible for ensuring quality control. You do not want to weigh all the frozen hamburger patties that get delivered by your supplier to make sure they weigh four ounces on average, so you choose 100 patties at random. You calculate that the sample mean weight of patties is 2.6 ounces and the standard deviation of the weight of hamburger patties to be 0.4 ounces.

Required:
a. Test the hypothesis that the population mean weight of patties is equal to 4 ounces.
b. You are particularly concerned about the population weight being under 4 ounces, is there any reason for concern? Explain using the concept of a confidence interval.

Answer:

Robot will take  hour to complete each task.

The robot can complete  tasks in one hour.

Step-by-step explanation

We have been given that a robot can complete 8 tasks in 3/10 hour. Each task takes the same amount of time.

To find the time taken by robot to complete each task we will divide total time taken to complete 8 tasks by 8 as:

Now we will convert division problem into multiplication problem by flipping the 2nd fraction.

Therefore, robot will take  hour to complete each task.

To find tasks completed by robot in one hour we will use proportions.

Therefore, the robot can complete  tasks in one hour.

Answer:

a whole number is a complete number with no decmils or fraciton such as

3,5,2253

not

1/2,6.5,69%

45% no since percents other then 100% and 0% are not whole numbers

1/5 fraction no unless the same number on top and bottom or 0 on top

907 yep

0.50 nope never

Hope This Helps!!!

Answer:

the answer is Y

Step-by-step explanation:

The greatest common factor (GCF) of two polynomial expressions is y.

The greatest common factor (GCF) of two polynomial expressions is the polynomial with the largest set of factors that is a factor of both polynomials.

To find the GCF of y2(y + 1) and y(y + 2), we can factor each polynomial:

y2(y + 1) = y(y)(y + 1)

y(y + 2) = y(y + 2)

The only factor that both polynomials have in common is y, so the GCF is y.

Here is the solution in more detail:

Factor each polynomial.

y2(y + 1) = y(y)(y + 1)

y(y + 2) = y(y + 2)

Find the factors that are common to both polynomials.

The only factor that both polynomials have in common is y.

The GCF is the polynomial with the largest set of factors that is a factor of both polynomials.

The GCF is y.

Therefore, the GCF of y2(y + 1) and y(y + 2) is y.

To learn more about GCF here:

https://brainly.com/question/26526506

#SPJ2

Therefore, the rotated triangle has vertices at (-5, -10), (-3, -1), and (-4, -2), which forms a new triangle.

In mathematics, a vertex refers to a point where two or more lines, edges, or curves meet. In geometry, a vertex is a point where two or more edges of a polygon or polyhedron intersect. For example, in a triangle, each of the three points where the sides meet is a vertex.

A vertex is a fundamental unit of a graph, which is a collection of vertices connected by edges. Each vertex represents an entity or object, and the edges represent the relationships or connections between them. For example, in a social network graph, the vertices could represent individual users, and the edges could represent their friendships or connections with other users.

To perform a 270° counterclockwise rotation of a point about a center point, we can use the following formula:

\((x', y') = (x - a) * cos(theta) - (y - b) * sin(theta) + a, (x - a) * sin(theta) + (y - b) * cos(theta) + b\)

where (x, y) is the original point, (x', y') is the rotated point, (a, b) is the center point, and theta is the angle of rotation in radians.

Let's first find the center point C(-5, -4) of the rotation. Then, we'll apply the formula to each vertex of the triangle to find its new location after the rotation.

\(Center point C = (-5, -4)\)

Vertex P(-13, -3):

\(x' = (-13 - (-5)) * cos(270^{0} ) - (-3 - (-4)) * sin(270^{0} ) + (-5) = -5\)

\(y' = (-13 - (-5)) * sin(270) + (-3 - (-4)) * cos(270) + (-4) = -10\)

So, after the rotation, vertex P is at (-5, -10).

Vertex Q(-7, 3):

\(x' = (-7 - (-5)) * cos(270) - (3 - (-4)) * sin(270) + (-5) = -3\)

\(y' = (-7 - (-5)) * sin(270) + (3 - (-4)) * cos(270) + (-4) = -1\)

So, after the rotation, vertex Q is at (-3, -1).

Vertex R (-6, 2):

\(x' = (-6 - (-5)) * cos(270) - (2 - (-4)) * sin(270) + (-5) = -4\\y' = (-6 - (-5)) * sin(270) + (2 - (-4)) * cos(270) + (-4) = -2\)

So, after the rotation, vertex R is at (-4, -2).

To know more about vertices, click here,

https://brainly.com/question/30116773

#SPJ1

Answer: The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.

Step-by-step explanation:

Hope this is right!!!!

The average change in the height of the rainwater is 1.25 inches per day

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

The initial height of the rainwater measured = y₁

The value of y₁ = 24.83 inches

The final height of the rainwater measured = y₂

The value of y₂ = 12.08

The change in height = y₁ - y₂

Substituting the values in the equation , we get

The change in height = 6.75

The number of days = 5 2/5 days

The number of days = 27/5 days = 5.4 days

So , the equation will be

The average change in the height of the rainwater = change in height / number of days

Substituting the values in the equation , we get

The average change in the height of the rainwater = 6.75 / 5.4

The average change in the height of the rainwater = 1.25 inches per day

Hence , the average change is 1.25 inches per day

To learn more about equations click :

https://brainly.com/question/14200719

#SPJ1

Answer:

Step-by-step explanation:

321

Answer:

Step-by-step explanation:

I forgot to add the last reason is AAS (two angles one side are congruent = triangles are congruent)

S.

1.Given

2. AE = EC

3. <AEB = <CED

4. <CDE = <ABE

5. triangles congruent

R.

1. Given

2. Segment bisector theorem

3. Vertical angles theorem

4. PAI Theorem

Hope this helps!

Explanation:

Malise has 1 something (may be a pound, any unit) and she uses 1/8 to make pancakes and 1/3 to make a pie. To see what fraction of blueberries are left we have to substract 1/8 and 1/3 from 1:

We have to find the lower common denominator. Since 8has factors 2, 2, 2 and 3 has itself as a factor (and of course 1 for both) the LCD is the product of these two: 8 x 3 = 24.

Now we have to write it and in the numerator, we have to write each numerator multiplied by the quotient between the LCD and each denominator:

Answer:

The fraction of blueberries left is 13/24

Answer: 1 /8 - 1/3

Step-by-step explanation:

8 x 3 = 24

a) The bearing of B from C is; 45° South-East.

b) The bearing of D from B is; 58.39° South Of West

a) Distance Between B  and C is;

BC = √( 40² + 40²)

= 40√2

= 56.57  km

Angle of  B from C =  Tan⁻¹( 40/40)  =   45°

Bearing of B  From C   =  45° South Of East

Or 90 - 45°  = 45°    

45°  East of South

Thus, that is the bearing of B from C

b) Distance Between B and  D is;

BD = √(40² + 65²)

= 76.32  km

Angle of  D from B =  Tan⁻¹( 65/40)  

= 58.39 °

Bearing of D  From B   =  58.39° South Of West

Read more about Bearing at; https://brainly.com/question/22719608

#SPJ1

Answer:

Step-by-step explanation:

Answer:

\( \frac{3}{2} \)

Step-by-step explanation:

I'm not sure how to answer this but try to put the "5's" in Fraction form as 5/1 and divide them with 15/2. Which would be 3/2

Answer:

The greatest number of identical arrangements is 6 units of 9 roses and 7 tulips each.

Step-by-step explanation:

Tulips represent the limiting quantity. In this case, the easiest and most effective approach is determining the ratio of roses to tulips to get how many roses must be left along with a minimum quantity of tulips in a unit. That is:

\(x = \frac{54\,roses}{42\,tulips}\)

\(x = \frac{27\,roses}{21\,tulips}\)

\(x = \frac{9\,roses}{7\,tulips}\)

The greatest number of identical arrangements is 6 units of 9 roses and 7 tulips each.

Answer:

Step-by-step explanation:

Answer:

it is rational cause it can be turned into a fraction 0.7= 7/10

Plot the given coordinates of the polygon in the coordinate plane and connect it with a smooth curve.

A two-dimensional geometric shape with a finite number of sides is called a polygon. A polygon's sides are constructed from segments of straight lines joined end to end.

A coordinate plane is a two-dimensional plane created by the intersection of two number lines. The x-axis, a horizontal number line, and the y-axis, a vertical number line, are two of these number lines.

Plot the points on the graph according to the given coordinates. Connect all the points. The polygon is triangle.

Learn more about polygon here:

https://brainly.com/question/24464711

#SPJ1

The slope of  P=(-4,-1) Q=(-3,-3) is -2.

Given,

 P=(-4,-1)

Q=(-3,-3)

The  slope  between two points   P=(x₁, y₁)

Q=(x₂ ,y₂)

slope = (y₂-y₁)/(x₂-x₁)

So slope between  P=(-4,-1)   Q=(-3,-3) is

 [(-3)-(-1) ]/ [(-3)-(-4)]

=-2/1

=-2

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

Any two different points on a line may be used to compute the slope of any line. The ratio of "vertical change" to "horizontal change" between two separate locations on a line is calculated using the slope of a line formula.

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate locations and calculating the slope of a line are related tasks. In general, we require the values of any two separate coordinates of a line in order to determine its slope.

To learn more about this visit slope https://brainly.com/question/3605446

#SPJ9

Answer:

sorry for such a late answer but the correct option is the second table

Step-by-step explanation:

none needed

Answer: It is the second option 0

Step-by-step explanation: Because I took that test and got it right

The value of 3¾ft in yards would be = 1 6/25 yard

A mixed number is the type of number that is made up of three parts such as the whole number, a numerator and a denominator.

To convert to yards;

1 ft = 0.33 yard

3¾ = X yards

make x yards the subject of formula;

X yards = 3¾ × 0.33

X yards = 3.75×0.33

X yards = 1.24 yards

X yards in mixed number= 124/100 = 31/25 = 1 6/25 yard.

Note that the final value which is 124/100 is reduce to the lower figure by dividing through with 4 to arrive at the mixed number 1⁶/25

Learn more about mixed numbers here:

https://brainly.com/question/21610929

#SPJ1

Answer:

C

Step-by-step explanation:

You can’t multiply anything to make A work

Nor B

C you can multiply by 3

D you can’t do anything.

Answer:

\(\text{27}\)

Step-by-step explanation:

Given that :

\(\text{Dimension of poster board} = 1 \ \text{yd} \ \text{by} \ 1 \ \text{yd}\)

\(\text{Dimension of each poster board} = \dfrac{1}{3} \ \text{yd} \ \text{by} \ \dfrac{1}{9} \ \text{yd}\)

Number of poster signs that can be cut :

\(\text{Area of poster sign} = \dfrac{1}{3} \times \dfrac{1}{9} = \dfrac{1}{27} \ \text{yard}^2\)

\(\text{Area of poster board} = 1 \ \text{yard}^2\)

Number of poster signs that can be cut :

\(\dfrac{\text{Area of poster board}}{\text{Area of poster sign}}\)

\(1 \ \text{yard}^2\div (\dfrac{1}{27} ) \ \text{yard}^2\)

\(1 \div \dfrac{1}{27}\)

\(1 \times \dfrac{27}{1}\)

\(\bold{= 27 \ poster \ signs}\)

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

For more information on the Perimeter of the Rectangle, click:

https://brainly.com/question/13757874

Answer:

a tax on certain imported or exported goods is tariff

a tax based on a percentage of an individual's income is income

a tax on wages to fund programs such as Social Security is payroll

a tax based on the value of a home, land, or an office building is property

Step-by-step explanation:

Answer:

k = -21

Step-by-step explanation:

9/ (2k-3) = 4/(k+1)

Using cross products

9 * (k+1) = 4(2k-3)

Distribute

9k+9 = 8k -12

Subtract 8k from each side

9k-8k +9 = 8k-8k-12

k+9 = -12

Subtract 9 from each side

k+9-9 = -12-9

k = -21

Answer:

\(\huge\boxed{k=21}\)

Step-by-step explanation:

\(\dfrac{9}{2k-3}=\dfrac{4}{k+1}\)

First step:

Find domain.

We know: the denominator must be different than 0.

Therefore we have:

\(2k-3\neq0\ \wedge\ k+1\)

\(2k-3\neq0\qquad\text{add 3 to both sides}\\2k\neq3\qquad\text{divide both sides by 2}\\\boxed{k\neq1.5}\\\\k+1\neq0\qquad\text{subtract 1 from both sides}\\\boxed{k\neq-1}\\\\\text{Domain:}\ x\in\mathbb{R}\backslash\{-1;\ 1.5\}\)

Second step:

Solve for k.

\(\dfrac{9}{2k-3}=\dfrac{4}{k+1}\qquad\text{cross multiply}\\\\9(k+1)=4(2k-3)\qquad\text{use the distributive property}:\ a(b+c)=ab+ac\\\\(9)(k)+(9)(1)=(4)(2k)-(4)(3)\\\\9k+9=8k-12\qquad\text{subtract 9 from both sides}\\\\9k=8k-21\qquad\text{subtract}\ 8k\ \text{from both sides}\\\\\boxed{k=21}\in\text{Domain}\)

The expression will be;

⇒ (x- 4)² - 11

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ x² - 8x + 5

Now,

Solve the expression as;

⇒ x² - 8x + 5

⇒ x² - 8x + 16 - 16 + 5

⇒ (x- 4)² - 11

Thus, The value of the expression = (x- 4)² - 11

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

y=23,500

Step-by-step explanation:

General form for an exponential equation

                            y = ab^{x - h} + k y=ab

                             or

                             y = ab^x y=ab  

Exponential growth and decay, when the quantity increases by a fixed percentage at regular intervals.

                     Exponential growth  y = a(1 + r)^x y=a(1+r)

               \because b = (1 + r) ∵b=(1+r)

                     Exponential decay  y = a(1 - r)^x y=a(1−r)

x

                 \because b = (1 - r) ∵b=(1−r)

                       Where, a - initial value

                                   r - decay or growth rate

                                   x - Number of time intervals that have passed

Step 2: Set up an exponential equation from the given in formation

             Given that:

             Declined(Decay) rate r = 5% = 0.05

            Players from the first game a = 23,500

             Exponential decay  y = a(1 - r)^x y=a(1−r)

x

                                           y=23,500(1-0.05)^xy=23,500(1−0.05)

x

                                           y=23,500(0.95)^xy=23,500(0.95)

x

Step 3: Build a table of values by evaluating the function at different x-values.

                                       y=23,500(0.95)^xy=23,500(0.95)

                 If x = 0 then  y = 23,500(0.95)^x y=23,500(0.95)

                                      y = 23,500(0.95)^0 y=23,500(0.95)

                                      y = 23,500 * 1 y=23,500∗1

                                       y=23,500

Total tax rate: 4.75% + 3.25% = 8%

Total cost: $876 + $976 = $1,852

Sales tax: $1,852x8% = $148.16

Total purchase price: Total cost + Sales tax = $1,852 + $148.16 = $2,000.16

Answer:the answer will be 48

Step-by-step explanation: 24 divided by 3 =8 x 6 =48

I REALLY HOPE THIS HELPS

Answer:

hello there im sam and im going to help you with your answer.

Step-by-step explanation:

so you take the 156,000 and subtract it to 120,000 and you will get 36,000 and thats how much she owes the bank.