The local convenience store sells 12 cases of Gatorade per day. Lead time for the Cases of Gatorade is normally distributed with a mean time of 5 days and a standard deviation of 0.5 days. A 95% service level is set (Z=1.645).
a. What is the Reorder Point (ROP)?
b. What is the level of Safety Stock?

The point (-5,6), which is (0,0), is √61 units away from the origin.

A pair of numbers called coordinates are used to locate a point or a shape in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane. The term "ordinate" refers to a point's separation from the x-axis when scaled with the y-axis. Coords are the collective noun for the abscissa and ordinate. The study of algebraic equations on graphs is known as coordinate geometry. The plotting of points, lines, and curves on an x and y axis is an illustration of coordinate geometry.

Here,

distance=√(y2²-y1²)+(x2²-x1²)

=√(6²-0²)+((-5)²-0²)

=√6²+-5²

=√36+25

=√61

The distance of the point (-5,6) from the origin that is (0,0) is √61 units.

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Anne's family wouldn't have gotten there until about 5:55 pm.

How Distance  is that?

The arrival time is the travel time added to the start time. The travel time is given by ...

 time = distance/speed

At 50 miles per hour, the travel time would be ...

 time = 383.5/50 = 7.67 . . . . hours

The fraction of an hour is ...

 (0.67 hours)×(60 min/hour) = 40.2 min

Adding the travel time to the start time, we get an arrival time of ...

 10:15 am + 7:40 = 17:55 = 5:55 pm

Anne's family wouldn't have gotten there until about 5:55 pm.

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5

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.

Total books borrowed = 8+4 = 12

No. of non - fiction books = 7

No. of fiction books = 12 -7

                                    = 5

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Answer:

$280

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 2%/100 = 0.02 per year,

then, solving our equation

I = 2800 × 0.02 × 5 = 280

I = $ 280.00

The simple interest accumulated

on a principal of $ 2,800.00

at a rate of 2% per year

for 5 years is $ 280.00.

The simple interest earned on a deposit of $2,800 that earns 2% annual interest after 5 years is $280

An interest is the amount of money gained by investing in a business.

The simple interest is gotten using the formula:

I = PRT

Where I is the interest, P is the principal, R is the rate, T is the time.

Given that P = $2800, r = 2% = 0.02, T = 5 years, hence:

I = PRT

I = 2800 * 0.02 * 5 = $280

The simple interest earned on a deposit of $2,800 that earns 2% annual interest after 5 years is $280

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Answer:

1.5 m

Step-by-step explanation:

Given that:

The diameter of the cylinder = 1.4 m

Then the radius will be = 1.4 m/ 2 = 0.7 m = 7dm

Similarly, the height of the container = 3.6 m = 36 dm

Suppose the height of the inverted cone = h_c and the height of the cylinder tube = h_d

Then the tank height = h_c + h_d

36 m = h_c + h_d   ------ (1)

However, the volume of the water in the cone can be computed as:

\(= \dfrac{1}{3} \times \pi \times r ^ 2 \times h_c\)

Similarly, the volume of the water in the cylinder tube is:

\(= \pi \times r ^ 2 \times h_d\)

The volume of water in the container = 2.464 liters

Thus;

The volume of water in the cone + volume of water in the tube = volume of water

\(( \dfrac{1}{3} \times \pi \times r ^ 2 \times h_c )+( \pi \times r ^ 2 \times h_d) = 2464\)

\(\pi \times r ^ 2 ( \dfrac{1}{3} \times h_c + h_d) = 2464\)

\(\pi \times 7^ 2 ( \dfrac{1}{3} \times h_c + 30 - h_c) = 2464\)

\(154 ( -\dfrac{2}{3} h_c + 30 ) = 2464\)

\(( -\dfrac{2}{3} h_c + 30 ) = \dfrac{2464}{154}\)

\(( -\dfrac{2}{3} h_c + 30 ) =16\)

\(( -\dfrac{2}{3} h_c ) = 16-30\)

\(-\dfrac{2}{3} h_c =-14\)

\(h_c =-14 \div- \dfrac{2}{3}\)

\(h_c =-7 \times-3\)

\(h_c =21\)

From equation (1):

36 m = h_c + h_d

h_d = 36 - h_c

h_d = 36 - 21

h_d =  15 dm

Therefore, the height of the cylinder tube is 15 dm = 1.5 m

The critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

To find the critical value zₐ/₂, we need to determine the value that leaves an area of (1 - α)/2 in the tails of the standard normal distribution. In this case, α is the complement of the confidence level, which is 1 - 0.83 = 0.17. Dividing this value by 2 gives us 0.17/2 = 0.085.

To find the z-value that corresponds to an area of 0.085 in the tails of the standard normal distribution, we can use a standard normal distribution table or a statistical calculator. The corresponding z-value is approximately 1.381.

Therefore, the critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

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The total distinguishable ways can the donors be in line is 362,736.

The total number of distinguishable ways:

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362,880

To subtract the number of in-distinguishable arrangements:

(4! x 3!) + (3! x 2!) = 144

There are 362,736 distinguishable ways in which four donors with type O blood, three donors with type A blood, and two donors with type B blood can be in line.

This is calculated by first determining the total number of distinguishable arrangements, which is 9!.

Then,

The number of indistinguishable arrangements is subtracted from the total.

Which is done by multiplying the number of arrangements for each blood type separately and then adding them together.

The result is then subtracted from the total, leaving the number of distinguishable ways.

The total number of distinguishable ways is:

362,880 - 144 = 362,736

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\(\displaystyle \int csc^2(9x) dx \\\\=\dfrac 19\displaystyle \int \csc^2 u ~du~~~~~~~;\left[\text{Let}~u= 9x \implies dx = \dfrac{du}9\right]\\\\=-\dfrac 19 \cot u + C\\\\=-\dfrac 19 \cot(9x)+C\)

The length of the rectangular  playground is 241.86 foot.

Given that area of rectangle is 19,500 sq.ft and length of rectangle is three times its width.The area for rectangle is given by formula: A=LW.

Now according to the given condition, L= 3W. Further we'll solve by putting L= 3W in the formula for rectangle.

A=LW

As given A= 19,500 sq.ft and considering L=3W,

19,500 = 3W*W

19,500 = 3W^2

∴ W^2 = 6500

∴ W = \(\sqrt{6500}\)

∴ W = 80.6225 ft. ≈ 80.62 ft.

Now putting the value W = 80.62 in equation L =3W,

L = 3* 80.62

L = 241.86 ft.

The length of the rectangular playground is 241.86 foot.

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Step-by-step explanation:

(4x² + 3y) by (3x² - 4y)

(4(1)² + 3(2)) by (3(1)² - 4(2))

(4 + 6) and (3 - 8)

10 x (-5) = -50 or 50 if negatives aren't an option

Answer:

22

Step-by-step explanation:

(4×1²+3×2) × (3×1²-4×2)

(16+6)×(9-8)

22×1=22

The pair that best represents the double recombinant classes is a bc and b c b.

To determine the pair that represents the double recombinant classes, we look for combinations of alleles that are different from the parental genotypes. In the given data, the pair a bc has a count of 30, which represents a double recombinant class. Similarly, the pair b c b also has a count of 30, indicating another double recombinant class.

These double recombinant classes arise from the recombination events that occurred between the parental genotypes. The allele combinations in these classes differ from both the original parental genotypes, indicating that two crossing-over events have taken place.

It is worth noting that the counts for the other allele combinations (a b c, a a b c, and a b c a) do not match the counts for the double recombinant classes. Therefore, the pairs a bc and b c b best represent the double recombinant classes based on the given data.

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Answer:

read the answers below.

Step-by-step explanation:

d = dog

d = c + 8

ch = chickens

ch = d -2

gp = guinia pigs

gp = c - 3

d + c + ch + gp = 59

gp = c- 3

gp = d -8 - 3

gp = d - 11

d + d-8 + d - 2 + d-11 = 59

4d -8 - 2 - 11 = 59

4d - 21 = 59

4d - 21 + 21 = 59 + 21

4d = 80

4d/4 = 80/4

d = 20

========

c = d - 8

c = 20 - 8

c = 12

========

ch = d - 2

ch = 20 - 2

ch = 18

=========

gp = d - 11

gp = 20 - 11

gp = 9

Answer:

the answer is 3

Step-by-step explanation:

6x -3x = 13-4

3x = 9

x =3

Answer:

Subtract 4 from both sides of the equation

6+4=3+13

6+4−4=3+13−4

Simplify

Subtract the numbers

6=3+9

Subtract 3 from both sides of the equation

6x=3+9

6−3=3+9−3

Simplify

Combine like terms

3=9

Divide both sides of the equation by the same term

3=9

3/3=9/3

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=3

Solution

=3

Answer:

-2/5

Step-by-step explanation:

hope this helps

Step-by-step explanation:

the distance between 2 points is the Hypotenuse of a right-angled triangle with the legs being the x coordinate difference and the y coordinate difference.

so, Pythagoras applies.

c² = a² + b²

distance² = (2 - -7)² + (11 - 9)² = 9² + 2² = 81 + 4 = 85

distance = sqrt(85) = 9.219544457... ≈ 9.2

The distance between the points A(2,11) and B(−7,9) is d = √85.

There are two points (a, b) and (c, d) then the distance between two points is

d= √(c -a)² + (d-b)²

We have the points A(2, 11) and B(-7, 9).

Using the Distance Formula

d = √(-7-2)² + (9-11)²

d= √(-9)² + (-2)²

d= √81 + 4

d = √85

Thus, the distance between points is √85 unit.

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Considering that y is between x and z, we have that:

We consider that y is between x and z, hence the length of the segment is given by:

xz = xy + yz

The separate lengths are given as follows:

Hence:

4k + 38 = 3k - 2 + 7k + 4.

4k + 38 = 10k + 2

6k = 36

k = 6.

Hence the length of yz is given by:

yz = 7k + 4 = 7(6) + 4 = 42 + 4 = 46 units.

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Answer:

C is the correct answer

If the area of the rectangular billboard covered by the ribbon was approximately 3360 square feet, and the width of the billboard was approximately 56 feet, the height of the billboard would be 71.25 feet.

The exact measurement that helps to express the size of a region on a plane or curved surface is thus called as area.

Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

In mathematical terminology, area can be defined as the total space that is taken up by a flat (2-D) surface or shape of a present object.

Here the area of the billboard = 3360 sq feet

Width of the billboard = 56 feet

We know that

area of the billboard = Height of the billboard x Width of the billboard

⇒ Height of the billboard = [Area of the billboard] / [Width of the billboard]

⇒ Height of the billboard= 3360/56

⇒ Height of the billboard = 71.25 feet

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Step 1

Given;

Step 2

A) Find the value of b²-4ac

Step 3

B) Determine how many real solutions quadratic has.

Answer:

Step-by-step explanation:

4x x 52 - 4x x 12 - 0

208x - 48 - 0

208x - 48

The Scrum team works collaboratively to deliver high-quality, content-loaded products that meet the requirements of the stakeholders.

The following individuals are included in the Scrum team:Scrum Master Product Owner Development Team The Scrum team consists of the Scrum Master, Product Owner, and Development Team.

The Scrum Master ensures that the team is following the Scrum framework and facilitates the Scrum events.

The Product Owner is responsible for prioritizing the Product Backlog and ensuring that the team is building the right product.

The Development Team is responsible for delivering a potentially releasable increment of the product at the end of each Sprint.Each Scrum team member plays a vital role in the success of the project.

The Scrum team works collaboratively to deliver high-quality, content-loaded products that meet the requirements of the stakeholders. together to achieve a common goal within a set timeframe.

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The floor area of the engineer's model of the sugar factory is 10.825 square feet.

To determine the floor area of the engineer's model of a sugar factory in square feet, we need to convert the given measurements from inches to feet. Since there are 12 inches in a foot, we can divide both dimensions by 12 to convert them.

The length of the model in feet is 30 inches / 12 = 2.5 feet, and the width is 52 inches / 12 = 4.33 feet.

To find the floor area, we multiply the length by the width:

Area = Length × Width

= 2.5 feet × 4.33 feet

= 10.825 square feet

It's important to note that the given measurements are not a standard aspect ratio or scale for a sugar factory. The given dimensions may be scaled down for the model's convenience, so the calculated floor area is only applicable to the scale of the model.

In actuality, a sugar factory would have much larger dimensions.

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Answer:

Grams

Step-by-step explanation:

Grams are for medium sized objects and a loaf of bread is probably under a kilogram.  Using grams gives you the clearest and easiest measurement.  

Answer: -3

Step-by-step explanation:

-9/3 = -3. A negative divided by a positive is always a negative number.

Answer:

-3

Step-by-step explanation:

negative/positive = negative

if 9/3 = 3, then

-9/3= -3

Answer: m=5

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

Answer:

1/x^2

Step-by-step explanation:

(x^3y^2)^4x^2y^5/ x^16y^13

x^14y^13/x^16y^13

=1/x^2

The ordered pairs for the given equation are (0, 4), (1, 11/3), (2, 10/3), (3, 3) and (4, 8/3).

The given equation is y = - 1/3 x + 4.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Put x=0, 1, 2, 3, 4, 5,....in the given equation, that is

When x=0, y=4

When x=1, y=-1/3 +4

= 11/3

When x=2, y=-2/3 +4

= 10/3

When x=3, y=-1+4

=3

When x=4, y=-4/3 +4

= 8/3

So, ordered pairs are (0, 4), (1, 11/3), (2, 10/3), (3, 3) and (4, 8/3).

Therefore, the ordered pairs for the given equation are (0, 4), (1, 11/3), (2, 10/3), (3, 3) and (4, 8/3).

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