apples are on sale for $3 and 12 per kilogram is the total cost of the apples proportional to the total yes or no​

Answers

Answer 1

Answer:

yes the apples are porportinal

Step-by-step explanation:

Answer 2

Answer:

apple is proportional

Step-by-step explanation:


Related Questions

(CAN SOMEONE PLEASE EXPLAIN JUSTIFICATION) Create diagrams to represent the possible cases for common tangents between two circles. Your diagram can be created using multimedia sources or drawn by hand. They should not be copied and pasted from a website. Explain why your diagrams satisfy the given criteria. No Common Tangents Diagram: Justification:

Answers

Answer:

To justify a solution, students will need to be able to use appropriate mathematical language to give reasons for the particular approach used to solve a problem. Any time that a student produces a 'solution' in an attempt to solve a problem, that 'solution' needs to be justified.

Step-by-step explanation:

If a discount of 20% off the retail price of a desk saves mark$45 how much did he pay for the desk?

Answers

Answer:

$180

Step-by-step explanation:

what is 45 20% of? This is what we need to find! To do this we have to take 45 and divide it by .2 which will give us 225. To check that this is the answer we take 45 and divide it by 225. This brings us back to 20%. He wouldve paid $225 for the desk, but there was a $45 discount, and after subtracting the discount we are left with $180


He paid 20$ for the desk

Find the lateral area of this cone

Answers

Answer: 40.0

Work Shown:

r = 3 is the radius

h = 3 is the height

LA = lateral area of the cone

LA = pi*r*sqrt(r^2 + h^2)

LA = pi*3*sqrt(3^2+3^2)

LA = pi*3*sqrt(18)

LA = pi*3*3*sqrt(2)

LA = 9*sqrt(2)*pi .... exact area in terms of pi

LA = 39.9859464434252 ... approximate area

LA = 40.0 ......... rounding to nearest tenth

I used my calculator's stored version of pi to get the approximate answer.

Note how the slant height L = sqrt(r^2+h^2) which can be shown through the pythagorean theorem.

R=3 is the radius h= 3 is the height

David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice,
where the rice-to-spice ratio is 15 : 1. He currently has 40 grams of the spice blend, and he can go buy
more if necessary. He wants to make 10 servings, where each serving has 75 grams of rice. Overall, David
spends 4.50 dollars on rice.
How many servings can David make with the current amount of spice he has?​

Answers

Answer:

8 servings of rice

Step-by-step explanation:

8 servings of rice

the rice-to-spice ratio is 15:1 so 75 grams is 5 times more making it 75:5 each serving. 5 grams of spice is in each serving so divide 40 grams (which is the amount of spice he has) with the 5 grams of spice each serving. After you’ve done that, you’ll see you got 8 as your number, saying that it will take 8 servings of rice to finish the grams of spice.


Hope this helped!

George is designing ledges for the octagonal ( 8 side ) gazebo. All sides are equal length, and each ledge much be 18 inches shorter then the sides.
a: what is the minimum length of wood he should purchase if the perimeter of the gazebo is 64 feet ?
b : what as your solution process

Answers

Answer:

78 inches or 174 inches (see explanation)

Step-by-step explanation:

If the perimeter is 64 feet, that means that each side is 8 feet, since there are 8 sides (64/8=8). 8 feet is 96 inches (8*12=96). 96-18=78, so the minimum length of wood he needs for the ledges is 78 inches, assuming you're not counting the wood for the perimeter, too (in which case it would be 174 inches) (78+96=174). Hope this helps!

it would be 78 or 178

you move left 2 units and right 9 units. you end at (4,5). where did you start?​

Answers

Answer:

You started at ( -3,5)

Step-by-step explanation:

You end at (4,5)

You got there by moving right 9 units so move left 9 units

Moving left is subtraction in the x direction

(4-9,5)

( -5,5)

Then move left 2 units so move right 2 units which is adding 2 in the x direction

( -5+2, 5)

( -3,5)

You started at ( -3,5)

You would have started at (-3,5)

1.) Write 7/25 as a percent and decimal.

Answers

Answer:

Below

Step-by-step explanation:

● 7/25

Let' write this fraction as a decimal then convert it to a percentage

● 7/25 = 0.28

To get a percentage multiply it by 10

● 0.28 × 100

● 28 %

Answer:

0.28 or 28 percent

Step-by-step explanation:

1)The easiest way to solve this is with a calculator. Just enter in 7/25, and you get 0.28.

2) Now, 0.28 is out of 1, but we also want a percent, so you have to change it to make it out of 100. You do this by multiplying by 100, and to do that you simply move the decimal place 2 places back.

3) You would then get 28, so 28 percent.

Extra) You can also do the part I did with a calculator without, but it is much more time consuming. After you get 0.28, you would go through the steps listed above.

What is the volume of the right triangular prism shown?

Answers

Answer:

C. 567yd^3

Step-by-step explanation:

To find the volume of the right triangular prism, it is: 1/2a c h.

In this case, 1/2✖️9✖️6✖️21=567yd^3

So this means that option C is the correct answer.

Hope this helps!

Have a nice day:)

Answer:

567 cu. yard

Step-by-step explanation:

will make it simple and short.

Vol = area of a triangle x length

Vol = (1/2 * 6 * 9 ) * 21

Vol = 567 cu. yard


Find the probability of rolling a die and
getting a 6. Write your answer as a
fraction.

Answers

Answer:

1/6

Step-by-step explanation:

there are 6 sides/numbers on a die. 1 roll with a possibility of 6 outcomes.

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

Because there are six possibilities and only one of those possibilities will yield a six, we can find the probability to be [tex]\frac{1}{6}[/tex]

360 is 6/10 of what number

Answers

Answer: 600

Explanation:

6/10x = 360
x = 360 x 10/6
x = 3600/6
x = 600
600 all you need is to just divide

Papa Bear ate 1/2 of a pie. Mama Benr ate 1/2 of what was left Baby Bear ate 1/2 of what
was left after Mama Bear finished.
3) What fractional part of the pie did Mama Bear eat?
4) What fractional part of the pie was left for Goldilocks?

Answers

Answer:

1/4 was eaten by mama and Baby also ate 1/4

Step-by-step explanation:

goldilocks got 0/4

if papa ate half and baby and mama each ate 1/4 they equal up to 2/4 which is 1/2

papa ate 1/2 and 1/2+1/2=1

Mama bear ate (1/4)a part of pie and the (1/8) fractional part was left for Goldilocks.

What is the fraction?

The fraction is a rational number that simply divides two numbers and is written in the form a/b where a is called the numerator and b is called the denominator.

Let the full part of the pie is a.

Papa bear ate 1/2 part of the pie.

Then papa bear ate = (1/2)a

rest of the pie is= a- (1/2)a= (1/2)a

Mama bear ate (1/2) of the rest of the pie.

so mama bear ate = (1/2)(1/2)a= (1/4)a part of pie
rest of pie after mama bear ate = (1/2)a- (1/4)a= (1/4)a

Then baby bear ate (1/2) of the rest of the pie.

so baby bear ate = (1/2)(1/4)a= (1/8)a part of pie
rest of pie after baby bear ate = (1/4)a- (1/8)a= (1/8)

The rest of the part was left for GoldLiocks.

Therefore mama bear ate (1/4)a part of pie and the (1/8) fractional part was left for Goldilocks.

Learn more about fraction

here: https://brainly.com/question/78672

#SPJ2

kinda stuck and would like help

Answers

Answer: See below

Explanation:

8x + 14 = 10x - 10 (alt. exterior angle)
8x - 10x = -10 - 14
-2x = -24
x = -24/-2
x = 12

Now plug x = 12 in 10x - 10 to find the angle:

10(12) - 10 = 120 - 10 = 110 degree
The answer is 110 degrees

If a= 3 and b= 5, find b/a=
2/5
3/5
05/3

Answers

Answer:

05/3

Step-by-step explanation:

5/3 = 1.66

Answer:

5/3

Step-by-step explanation:

a= 3 and b= 5

b/a

5/3

NEED IT ASAP
Tony is shopping for new tires for his 4-wheel-drive truck. In addition to the price of the tires, there is a 10% sales tax plus a state-mandated $45 fee for disposing of his old tires. If Tony has determined that he will spend less than $559.80 total, then what is the price range he can spend on the tire set?

Answers

Sry couldn't find the answer

he could spend anything below 468

5. The cost of movie tickets at the
Cinema Verite is 9 dollars for adults
and five dollars for children under 12.
During the Saturday and Sunday
matinees, adults are charged 8 dollars
for admission and children under 12
are charged 4 dollars. At any time at
all, there is a group discount for groups
of 15 or more adults at a cost of 6
dollars per ticket. What is the cost for 2
adults and 3 children during the
Saturday matinee?
a. 27
b. 28
C. 14
d. 32

Answers

Answer:

its 28 dude, because it says that adults and children are played more on saturday.(adults on Saturday=$8 and children under 12 are $4

B because more adults and children played on saturday.

Identify the function:

1 5
2 20
3 80
4 320


Quadratic function
Can't determine
Linear function
Exponential function

Answers

Answer:

Linear function

Step-by-step explanation:

5 x 4 = 20

20 x 4 = 80

80 x 4 = 320

linear function ......

Which of the following shows the division problem below in synthetic division
form?
5x2 + 9x-6
X + 2
A. -259-6
B. 259
6
C. 2 5 9.6
O D.
D. -25 96​

Answers

Answer:

Option (A),

    _____________

-2 |      5     9     -6

Step-by-step explanation:

Division is an algorithm that is used to find the factors of a number. One method of dividing polynomials is through a process of Synthetic division. Synthetic division for polynomials requires that the divisor (an expression that one uses to divide the polynomial) is linear. One will then set the divisor equal to zero and solve for the unknown such as the following,

x + 2 = 0

x = -2

Under the division sign, one will put all of the coefficients of the divided (the number that will be divided) in order of degree. The coefficient of the term with the highest degree is on the leftmost side, the lowest degree is the rightmost. Therefore the problem would appear as the following,

[tex]\frac{5x^2+9x-6}{x+2}[/tex]

= ([tex]5x^2+9x-6[/tex]) ÷ ([tex]x+2[/tex])

    _____________

-2 |      5     9     -6

Therefore, the correct choice is option (A).

a box has a square base of side 9cm. calculate the volume of the box if it is 10cm high​

Answers

Answer:

810 cubic centimetres

Step-by-step explanation:

If the box has a square base, the length and breadth of the box are the same. In this case, it's 9cm

The formula for the area of a rectangular prism is

A = lbh

where

l = length

b = breadth

h = height

Therefore the area is 9x9x10 = 810cm³

Answer:

V = 810 cm³

Step-by-step explanation:

V = Ab × h

Ab = s² = (9cm)² = 81 cm²

V = 81cm²×10cm = 810 cm³

Three-fourths of the water leaked out of a full aquarium tank. and 15 gallons of
water was left. After the leak was fixed, 10 gallons of water was added to the
aquarium tank.
4) How many gallons of water can the aquarium tank hold when it is full?
5) How full was the aquarium tank after the 10 gallons of water was added?
6) How much more water would have to be added to fill the aquarium tank?

Answers

Answer: 4) 60 gallons    5) 25 gallons    6) 35 gallons

Step-by-step explanation:

If three-fourths of the water in the tank leaked out of the full aquarium tank then one-fourths will be left.

so if the leftover was 15 gallons then 1/4 of a number has to equal 15 gallons.

We could represent that by the equation.

1/4 * x = 15

0.25x = 15

x=  60    

4) which means the aquarium tank can hold 60 gallons of water when it is full.

5) If 15 gallons of water was left after the leaking and then they added 10 more gallons of water then 15 + 10 = 25   which means the aquarium was 25 gallon full.

6) If they are 25 gallons in the water now and we need to add some amount of water to get to 60 gallons of water then we will subtract  25 from 60 find how much water needs to be added.

So  60 -25 = 35   which means 35  gallons needs to be added.  

Yup the guy above is right

Find the distance between (-5,-6) and (-3,-8 WILL GIVEBRANLIEST TO FIRST PERSON WHO AWNSES WITH EXPLANATION

Answers

Answer:

d = √8

d ≈ 2.82843

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in our coordinates into the distance formula:

[tex]d = \sqrt{(-3 + 5)^2+(-8 + 6)^2}[/tex]

[tex]d = \sqrt{(2)^2+(-2)^2}[/tex]

[tex]d = \sqrt{4+4}[/tex]

[tex]d = \sqrt{8}[/tex]

To find the decimal, simply evaluate the square root:

√8 = 2.82843

Answer:

[tex] \boxed{2 \sqrt{2} \: \: units}[/tex]

Step-by-step explanation:

Let the points be A and B

A ( - 5 , - 6 ) ⇒ ( x₁ , y₁ )

B ( -3 , - 8 )⇒( x₂ , y₂ )

Now, let's find the distance between these two points:

AB = [tex] \mathsf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }[/tex]

Plug the values

⇒[tex] \mathsf{ \sqrt{( - 3 - ( - 5) )^{2} + {( - 8 - ( - 6))}^{2} } }[/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

⇒[tex] \mathsf{ \sqrt{ {( - 3 + 5)}^{2} + {( - 8 + 6)}^{2} } }[/tex]

Calculate

⇒[tex] \mathsf{ \sqrt{ {(2)}^{2} + {( - 2)}^{2} } }[/tex]

Evaluate the power

⇒[tex] \mathsf{ \sqrt{4 + 4} }[/tex]

Add the numbers

⇒[tex] \mathsf{\sqrt{8} }[/tex]

Simplify the radical expression

⇒[tex] \mathsf{ \sqrt{2 \times 2 \times 2}} [/tex]

⇒[tex] \mathsf{2 \sqrt{2} }[/tex] units

Hope I helped!

Best regards!

How to do 28a ? Thanks

Answers

Answer:

Step-by-step explanation:

(m+1)²+(m-1)²=m²+2m+1+m²-2m+1=2m²+2=2(m²+1)

Answer:

True it does.

Step-by-step explanation:

(M+1)^2 + (M-1)^2 = 2(m^2 + 1)

M^2 + 2m + 1 + m^2 - 2m + 1 = 2(m^2 +1)

2m^2 + 1 = 2(m^2 + 1)

There's your work.

The ^ means number after is exponent.

Hope this helps, and have a good day :)!

you move up 7 units and left 6 units. you end at (-1,5). where did you start?​

Answers

Answer:I beleive it is (5,-2)

Step-by-step explanation:

First you wanna go backwards so start from (-1,5) and go down 7 units and 6 units right then you’ll get where you started ❤️ hope this helped

Tamara walked 3/4 mile in 1/2 hour. Which of the following represents the unit rate that Tamara walked? A. 1/2 mi/h B. 2/3 mi/h C. 3/4 mi/h D. 1 1/2 mi/h Include ALL work please!

Answers

Answer:

1 1/2 miles / hour

Step-by-step explanation:

We want distance / time

3/4 miles

---------------

1/2 hour

3/4 ÷ 1/2

Copy dot flip

3/4 * 2/1

3/2

1 1/2 miles / hour

Answer:

D

Step-by-step explanation:

Multiple (3/4)  by 2 to find the information for one hour)

6/4 in one hour

3/2 or 1 + 1/2 mi/h

D is the answer

A 40 pound bag of topsoil will
cover a surface area of 12 square
feet.
a. How many pounds of topsoil are
needed to cover a surface area of
480 square feet?
b. How many bags of topsoil must
be purchased to cover a surface
area of 480 square feet?

Answers

For number of bags, divide total area by the area 1 bag can cover.

480 / 12 = 40 total bags.

Now for total weight, multiple total bags by weight per bag:

40 bags x 40 pounds = 1,600 total pounds.

A = 40 bags

B = 1,600 pounds

480/12 = 40 is you’re answer !<3

PLEASE HELP ME WITH THIS QUESTION FOR MATH!!!!!!!!!!!!!!!!!

Answers

Answer:

MON = 130°

Step-by-step explanation:

LOM + MON = 180°

In other words

4z + 30° + 8z + 90 = 180°

12z + 120 = 180

60 = 12z

z = 5

5 x 8 = 40 + 90 = 130°

Answer:

∠MON = 130º

Step-by-step explanation:

∠LON = ∠LOM + ∠MON

∠LON = 180º

180 = (4x + 30) + (8x+ 90)

combine like terms

180 = 12 x + 120

60 = 12x

x = 5

plug x into equations.

∠MON = 8(5) + 90

∠MON = 40 + 90

∠MON = 130º

check work:

∠LOM = 4(5) + 30

∠LOM = 20 + 30

∠LOM = 50

∠LON = ∠LOM + ∠MON

180 = 50 + 130

Which expression can be used to find the surface area of the following triangular prism? *picture of triangular prism* Choose 1 answer: (Choice A) 24+24+ 120+160+20024+24+120+160+20024, plus, 24, plus, 120, plus, 160, plus, 200 (Choice B) 24+20024+20024, plus, 200 (Choice C) 24+24+200+120+12024+24+200+120+12024, plus, 24, plus, 200, plus, 120, plus, 120 (Choice D) 48+48+120+160+20048+48+120+160+200

Answers

Answer:

A) 24+24+120+160+200

Step-by-step explanation:

The two ends are 24 (1/2bh= 1/2(8*6)).

One side (the back) is 6x20=120

One side (the bottom) is 8x20=160

One side (the top) is 10x20=200

So the equation is 24+24+120+160+200

the answer to this one is a

The admission fee at a carnival fair is $4.50 for children
and $8.00 for adults. One day, 2200 people attended the fair
and $5050 was collected. How many children and how many
adults attended?
Lets say:
c= number of children
a= number of adults

Answers

Answer:

Adult=1,385.71

Children=814.29

Approximately

Adult=1386

Children=814

Step-by-step explanation:

c= number of children

a= number of adults

Admission fee for children=$4.50

Admission fee for adults=$8.00

Total attendees=2200

Total amount realized=$5050

We need two equations to solve the two unknowns

c + a=2200 (1)

4.50c + 8.00a=5,050 (2)

From (1)

c + a=2200

c=2200 - a

Substitute c=2200 - a into (2)

4.50c + 8.00a=5,050

4.50(2200 - a) + 8.00a=5050

9900 - 4.50a +8.00a=5050

Collect like terms

9900-5050= -4.50a+8.00a

4,850=3.5a

Divide both sides by 3.5

1,385.71=a

Substitute a=1,385,71 into (1)

c + a=2200

c+1385.71=2200

c=2200-1385.71

=814.29

c=814.29

1386 for adults and 814 for children

f(x) = x2 – x-1
What is the average rate of change of f over the interval -1 < x < 1?

Answers

Answer:

-2 < x - 1 < 0

Step-by-step explanation:

2x - × - 1 = x -1

-1 < x < 1

2. -2 < x - 1 < 0

-2 because it’s obby




Mr. Jackson took the 8th grade class on
field trip. While taking attendance, he
noticed there were 51 boy and 21 girls on
the trip. Write the ratio of boys to girls, as a
fraction in simplest terms

Answers

Answer:

17/7

Step-by-step explanation:

the ratio would be 51/21 then to simplify divide both numbers by 3 to get 17/7

Hi there! :)

Answer:

[tex]\huge\boxed{\frac{17}{7} }[/tex]

Given ratio of 51 boys to 21 girls:

Write as a ratio:

[tex]51 : 21[/tex]

Divide both terms by GCF, or 3:

[tex]\frac{51}{3} : \frac{21}{3}[/tex]

[tex]17 : 7[/tex] or [tex]\frac{17}{7}[/tex]

Therefore, the ratio is 17 boys to 7 girls, or   [tex]\boxed {\frac{17}{7}}[/tex]

WILL GIVE BRAINLY!!!!describe how the line of best fit and the correlation coefficient can be used to determine the correlation between two variables on a graph

Answers

Answer:

a graph with points plotted to show a possible relationship between two sets of data. ... A correlation where as one variable increases, the other also increases, or as one decreases so does the ... a line that best passes through or near graphed data; used to describe data and predict where new data will appear on the graph.

Answer:

a graph with points plotted to show a possible relationship between two sets of data. ... A correlation where as one variable increases, the other also increases, or as one decreases so does the ... a line that best passes through or near graphed data; used to describe data and predict where new data will appear on the graph.

Step-by-step explanation:

Other Questions
At what frequency should a 200-turn, flat coil of cross sectional area of 300 cm2 be rotated in a uniform 30-mT magnetic field to have a maximum value of the induced emf equal to 8.0 V What is the rate of change of the function? On a coordinate plane, a line with negative slope goes through points (0, 1) and (1, negative 1). 2 Negative one-half One-half 2 Mark this and return Chapters 1-3 Reading QuizName1. Which of the following best explains why Massachusetts Bay officials banished Anne Hutchinson?She challenged gender roles and Puritan orthodoxy.B She was found guilty of practicing witchcraft.She preached the doctrine of predestination.DShe gave birth to a child out of wedlock.She opened an unlicensed tavem. GRAMMAR 2 Put the words in the correct order to form complete sentences. 1. been / to buy / I / this month / my money / Ive / really / a new jacket / want / because / saving / every day 2. something / actually / to / 30 days / start / is / Doing / new / a new habit / for / a great way 3. but / what / exactly / to try / want / sorry, / the next / for / did you / 30 days / Im / new thing 4. day / enjoyed it / my singing / and / I / an hour / every / last month, / practiced / actually / I / for 5. must write / each day / To / in / a 50,000-word story / 30 days, / 1666.66 words / write / exactly / you a line is perpendicular to y=4x-2 and intersects the point (4,-11). what is the equation of this perpendicular line? 50 POINTS!!! i WILL GIVE BRAINLISET IF YOU ANSWER FAST Find the domain for the rational function f of x equals quantity x minus 3 over quantity 4 times x minus 1. (, 3)(3, ) (, 3)( 3, ) negative infinity to one fourth and one fourth to infinity negative infinity to negative one fourth and negative one fourth to infinity A ship travels a distance of 700 km. On the return trip it averages 10km/hr faster and 8 hours less, tp travel the 700km back. Determine how long the original part of the trip took in hours Write essay on ton professeur solve 2 Consider a wire of a circular cross-section with a radius of R = 3.17 mm. The magnitude of the current density is modeled as J = cr2 = 9.00 106 A/m4 r2. What is the current (in A) through the inner section of the wire from the center to r = 0.5R? Eastern City proposes developing a community policing program to reduce crime in one neighborhood. The police department, in conjunction with the mayor's office, held several meetings in which they discussed this proposal with neighborhood residents, business owners, and social organizations. In this example, the police department, the mayor's office, and neighborhood residents are all: 1.a. AABC has a right angle at B, BC = 4, and has an area of 10 square units. What is thelength of AB? Determine which of the following situations describe games and which describe decisions. In each case, indicate what specific features of the situation caused you to classify it as you did. (a) A group of grocery shoppers in the dairy section, with each shopper choosing a flavor of yogurt to purchase (b) A pair of teenage girls choosing dresses for their prom (c) A college student considering what type of postgraduate education to pursue (d) The New York Times and the Wall Street Journal choosing the prices for their online subscriptions this year (e) A presidential candidate picking a running mate Menlo Company distributes a single product. The companys sales and expenses for last month follow: Total Per unitSales $314,000 $20Variable expenses 219,800 14Contribution margin 94,200 6 Fixed expenses 75,000Net operating income 19,200Required: a. What is the monthly break-even point in unit sales and in dollar sales? b. Without resorting to computations, what is the total contribution margin at the break-even point? c. How many units would have to be sold each month to attain a target profit of S27,600? d. Verify your answer by preparing a contribution format income statement at the target sales level. e. Refer to the original data. Compute the company's margin of safety in both dollar and percentage terms. f. What is the company's CM ratio? If sales increase by $76,000 per month and there is no change in fixed expenses, by how much would you expect monthly net operating income to increase? A ladder is leaning against a wall. The ladder is 5 metres long. The top of the ladder is 3 metres above the ground. The top of the ladder is sliding down at 8 metres/second. At what rate is the bottom of the ladder moving away from the wall? The FREC is investigating a claim by a buyer that the broker had not given the proper disclosure to the buyer before the buyer purchased a home. The broker has paperwork dating back three years from the date of the signing of the document in question, and one year after the legal action of the case. Is the broker protected? The product (5+ i) (5 i) is a real number, 26. What are the factors (5 + i) and (5 i) called? (1 point)o complex numbersO imaginary unitscomplex conjugatesO imaginary numbers please help :( suck at math all the way What makes the school boy unhappy Annual demand for a product is 13,000 units; weekly demand is 250 units with a standard deviation of 40 units. The cost of placing an order is $100, and the time from ordering to receipt is four weeks. The annual inventory carrying cost is $0.65 per unit.a. To provide a 98 percent service probability, what must the reorder point be?b. Suppose the production manager is told to reduce the safety stock of this item by 100 units. If this is done, what will the new service probability be? Which atomic number corresponds to the element which is most stable?01032836