The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. For a random sample of 15 similar stores, she gathered the following information regarding the shelf space, in feet, devoted to pet food and the weekly sales in hundreds of dollars. . Store Shelf Space Weekly Sales 1 5 1.3 2 5 1.6 3 5 1.4 4 10 1.7 5 10 1.9 6 10 2.3 7 15 2.2 8 15 2 9 15 1.8 10 20 2.2 11 20 2.4 12 20 2.9 13 25 2.9 14 25 2.7 15 25 2.5 Using the regression line for this problem, the approximate Weekly Sales for shelf space that is :_________,i. 30. ii. 3.12 iii. 3.1 iv. 3.04 v. 2.99

Answers

Answer 1

The Weekly Sales for 30 shelf spaces is 3.04

How to determine the Weekly Sales for 30 shelf spaces?

The proper table is added as an attachment.

Next, we determine the regression equation using a graphing calculator.

From the graphing calculator, we have the following calculation summary:

Sum of X = 225Sum of Y = 31.8Mean X = 15Mean Y = 2.12Sum of squares (SSX) = 750Sum of products (SP) = 46

The regression equation is represented as:

y = bx + a

Where

b = SP/SSX = 46/750 = 0.06133

a = MY - bMX = 2.12 - (0.06*15) = 1.2

So, we have:

ŷ = 0.06133x + 1.2

When x =30, we have:

ŷ = 0.06133 * 30 + 1.2

Evaluate

ŷ = 3.04

Hence, the Weekly Sales for 30 shelf spaces is 3.04

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The Marketing Manager Of A Large Supermarket Chain Would Like To Use Shelf Space To Predict The Sales

Related Questions

x^2+9=0? I need to find the solutions

Answers

Answer:

[tex]x=\pm 3i[/tex]

Step-by-step explanation:

[tex]x^2+9=0\\x^2=-9\\x=\pm 3i[/tex]

Because you cannot take the square root of a negative number to produce a real solution, then the result will be two conjugate complex numbers (hence the ± sign).

Mary invests £12000 in a savings account. The account pays 1.5% compound interest per year. Work out the value of her investment after 2 years

Answers

Answer:

12362.70

Step-by-step explanation:

Becuae you have to use the principal and all that sorry i can not rpovide and explaination sorry brainly patrol pls dont delete this

7829y[tex]\frac{-69}{56x}[/tex] Find the exact value!

Answers

[tex]\\ \rm\Rrightarrow 7829y\times \dfrac{-69}{56x}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{7829(69)y}{56x}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{540201y}{56x}[/tex]

[tex]\\ \rm\Rrightarrow 9646.4y/x[/tex]

Only 4 students have won the track races this year gina has won 4 times Hal has won 3 times Isabel has won 3 times and Jamal has won 4 times

Answers

The Correct Answer is Option A

A customer purchased 1/2 pound of ham,1 pound of turkey,1/4 pound of roast beef,and 2 1/2 pounds of salami. Approximately how much did the customer pay for all the meat?
THE CHART
Ham-$5.99
Turkey-$4.99
Roast beef-$6.99
Salami-$2.99
bologna-$3.99

Answers

Answer:

Step-by-step explanation:

since this answer wants an approximation,  we can round the  cost up

Ham- 6                                 1/2 of 6 = 3

Turkey- 5                             1 pound of turkey= 5

Roast Beef- 7                       1/4 of 7= 1.75

Salami- 3                              2 x 3= 6   1/2 of 3= 1.5 = 7.5

bologna- 4                            No bologna was purchased.

3+5+1.75+ 7.5= 17.25 which is approximately 17.  

х
The correct order for saving should be____
A. emergency fund, retirement, pay off credit debt
B. retirement, emergency fund, pay off credit debt
C. pay off credit debt, emergency fund, retirement
D. pay off credit debt, retirement, emergency fund

Answers

Answer:

Step-by-step explanation: C. pay off credit debt, emergency fund, retirement

Help me on this question

Answers

Answer:

F.2:30 a.m.

8 revolutions= 8×90=720mn= 12h

So the sign starts from 2.30p.m.

Then the sign after 8 revolutions is 2.30 a.m.

Please give Brainliest


If 2 newspapers cost $3.00,
how much does one
newspaper cost?

Answers

Answer:

$1.50

Step-by-step explanation:

you only need to do $3.00/2 = $1.50

Answer:

$1.50

Step-by-step explanation:

3 divided by 2 = 1.5

16 > i - 4
Please help me solve this!! ( one-step inequalities )

Answers

Answer:   i < 20

Work Shown:

16 > i - 4

16+4 > i-4+4

20 > i

i < 20

In the second step, I added 4 to both sides to undo the -4

In the last step, I swapped both sides and I flipped the inequality sign.

If you want to graph this on a number line, then plot an open hole at 20. Then shade to the left to represent all the values smaller than 20.

Answer:

16>i-4

20>i

Step-by-step explanation:

All you have to do is reverse operation and add 4 to each side

g(t)=t²−t−42
1) What are the zeros of the function?
Write the smaller t first, and the larger t second.
smaller t=?
larger t=?

2) What is the vertex of the parabola?
(?,?)

Answers

Answer:

1) The smaller t is -6

The larger t is 7

2) The vertex of the parabola is (1/2, -42.25)

Step-by-step explanation:

Hey there!

To find the zeros of a function, you need to find two values that add up to "b" and multiply together to get "ac"

The b and ac come from the standard form of a parabola which this statement is given to us right now

t^2-t-42

1 is the "a" value, -1 is the "b" value, and -42 is the "c" value

What are two numbers that multiply together and get -42 and those same two numbers add up to -1

Those two numbers are -7 and 6

When you multiply those numbers together, you get -24

And when you add them together, you get -1

Now you can split the -t in the equation

The new equation after splitting the original equation will look like this

t^2-7t+6t-42

Now we group the equation into two parts

(t^2-7t) + (6t-42)

Since t is the common variable in the first set of parentheses, we can take it out

t(t-7)+(6t-42)

Now in the second pair of parentheses, 6 is the constant term

You can also take that out

t(t-7)+6(t-7)

Now we have our zero pairs

We take one of the parentheses and the terms that are outside of the parentheses

Now we have

(t+6)(t-7)=0

Now we can find our two zeros

The smaller t is -6

The larger t is 7

Now we have to find the vertex

The formula to solving the x-coordinate of the vertex is -b/2a

The "b: value is -1 and the "a" value is 1

So, the x-coordinate of the vertex is 1/2

Now we plug that into the equation

(1/2)^2 - 1/2 - 42

1/4 - 1/2 - 42

-1/4 - 42

-169/4 --> -42.25

So, the y-coordinate of the vertex s -42.25

This means,

The vertex of the parabola is (1/2, -42.25)

Julia earned $2,000 during the month of September.
Use the paycheck statement to find the missing percent rates of the taxes Julia payed.

Answers

Based on the amounts Julia paid and the percentage rates, the missing amounts are:

$124 for social security. $29 for Medicare. 13% for federal income tax. 6% for state income tax.

How much tax did Julia pay?

Julia's social security taxes were:

= 6.2% x 2,000

= $124.

Medicare amount:

= 1.45% x 2,000

= $29

Federal income tax:

= 260 / 2,000 x 100%

= 13%

State income tax:

= 120 / 2,000 x 100%

= 6%

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If you knew that two angles complemantary and were given the measure of one of those angles would you be able to find the measurement of the other angles

Answers

Answer: Yes

Step-by-step explanation:

You could subtract the measure of the first angle from 90 degres to find the measure of the second angle.




Boris wants to sort his crayons and give out the
yellow ones. He has 360 crayons altogether.
of the crayons are blue.
18
60% of the crayons are red.
The rest are yellow.
Work out the number of crayon he gives out

Answers

Answer:

126 yellow crayons

Step-by-step explanation:

Finding the number of each of the crayons :

Blue = 18Red = 60% of total = 60% x 360 = 0.6 x 360 = 216

Number of yellow crayons :

Total - [Blue + Red]360 - [18 + 216]360 - 234126 yellow crayons

Solve for x. Round your answer to the nearest tenth if necessary.

Answers

Answer: 15.9

Step-by-step explanation:

Which transformation is not a rigid motion?
A. Rotating a triangle around the origin.
B. Reflecting a triangle over the yaxis.
C. Translating a triangle down.
D. Dilating a triangle.

Answers

Answer:

B. po

Step-by-step explanation:

reflection a triangle over the yaxis.

The dual bar chart shows the hair colour of boys and girls in a year group.
20
18
16
14
12
10
8
6
4
Black
Brown
Blonde
What fraction of the students are girls?
Give your answer in its simplest form
Frequency
20
Hair colour
Red
Boys
Girls

Answers

I think the answe is black cause it just make more sense

You need new shoes for work which cost $70. You earn $400 net income each week, but have expenses totaling $380 each week. If you set aside the difference between your weekly income and expenses, how many weeks will it take you to save enough to buy the shoes?

Answers

Answer:

4 weeks

Step-by-step explanation:

Remaining money (per week) :

Net income - Expenses$400 - $380$20

No. of weeks to buy shoes :

Cost of shoes / Remaining money (per week)$70/$203.5 ≈ 4 weeks (nearest whole week)

Answer:

hope it will help you

Step-by-step explanation:

hope it will help you

5a+3-4a²+2a³ sandard form

Answers

2a^3-4a^2+5a+3

Explanation:

For standard form you always start with the one that has the biggest exponent to the least one

Calculate the volume of the cone with the hemisphere scooped out of the base. Note: 20 cm is the slant height

Answers

1496.59125cm round to whatever you need

Answer:

3418.02 cm²

Step-by-step explanation:

Volume :

Volume (cone) - Volume (hemisphere)

1/3πr²h - 2/3πr³

1/3 x π × 64 x (√20² - 8²) - 2/3 x π x (4)³

64π/3 (√336 - 2 x 2/3)

64π (18.33 - 1.33)

64π × 17

201.06 x 17

3418.02 cm²

If a cross-section of the block is cut perpendicular to the base and passes through the top vertex of a pyramid which of the following shapes describes the cross-section

Triangle
Rectangle
Trapezoid
Hexagon

Answers

A triangle (Option B)

If you cut it perpendicular to its base and through its vertex, the cross-section would be shaped like an isosceles triangle. The base of the triangle will be the base of the cone. The cone would create a circle shape if the plane sliced it parallel to its base

How can you prove that csc^2 θtan^2 θ-1=tan^2 θ?

Answers

[tex]\stackrel{\textit{Pythagorean Identities}}{1+tan^2(\theta)=sec^2(\theta)}\implies tan^2(\theta ) = sec^2(\theta )-1 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ csc^2(\theta )tan^2(\theta )-1~~ = ~~tan^2(\theta ) \\\\[-0.35em] ~\dotfill[/tex]

[tex]csc^2(\theta )tan^2(\theta )-1\implies \cfrac{1}{sin^2(\theta )}\cdot \cfrac{sin^2(\theta )}{cos^2(\theta )}-1\implies \cfrac{1}{cos^2(\theta )}-1 \\\\\\ \cfrac{1^2}{cos^2(\theta )}-1\implies \left[ \cfrac{1}{cos(\theta )}\right]^2-1\implies sec^2(\theta )-1\implies tan^2(\theta )[/tex]

write a quadratic equation whose roots are -3 and 1/2

Answers

Answer:

See below

Step-by-step explanation:

Use the roots given to make this :

(x+3) (x-1/2)  = 0

   you can do the multiplication (if required) to get

x^2 + 2.5x - 1.5 = 0      now you can multiply by 2 to get rid of the decimals

2x^2 + 5x - 3 = 0

   All three are correct......pick the format you want ....

Evaluate
6x+4y-z. X:4,y:-2,z:3

Answers

Step-by-step explanation:

x = 4

y = -2

z = 3

= 6x + 4y - z

= 6.4 + 4.-2 - 3

= 24 - 8 - 3

= 13

Alexei wants to hang a mirror in his boat and put a frame around it. The mirror and frame must have an area of 19.25 square feet. The mirror is 3 feet wide and 5 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?
2x^2 + 8x − 19.25 = 0

3x^2 + 5x − 19.25 = 0

4x^2 + 16x − 4.25 = 0

4x^2 + 16x + 15 = 0

Answers

The quadratic equation 4x² +16x - 4.25 = 0 can be used to determine the thickness of the frame option third is correct.

What is a quadratic equation ?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

We have:

The mirror and frame must have an area of 19.25 square feet. The mirror is 3 feet wide and 5 feet long.

Let's suppose the thickness of the frame is x:

Then, the area of the rectangle:

(2x+3)(2x+5) = 19.25

4x² + 10x + 6x + 15 = 19.25

4x² +16x - 4.25 = 0

Thus, the quadratic equation 4x² +16x - 4.25 = 0 can be used to determine the thickness of the frame option third is correct.

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Q. What is the equation of this line?
A: x=5
B: y=5x
C: x=-5
D: y=5

Answers

A) x=5
The sideways line is always x, and the line going up is y, so since the line is only touching the x-intercept you just count where the line is, so x=5

Answer:

A) x=5

The sideways line is always x, and the line going up is y, so since the line is only touching the x-intercept you just count where the line is, so x=5

Step-by-step explanation:

A bag of flour weighs 90 grams. If the weight of the bag increases by 15% find the new weight of the bag.

Answers

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

weight of bag = 90 grams

According to Question ,

weight of the bag increases by 15%

therefore ,

the new weight of bag ,

[tex] \frac{\cancel{15}}{\cancel{10}\cancel0} \times 9\cancel0 \\ \\ \dashrightarrow \: \frac{3}{2} \times 9 \\ \\ \dashrightarrow \: \frac{27}{2} \\ \\ \dashrightarrow \: 13.5[/tex]

so ,

new weight = 90 + 13.5 kg

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎= 103.5 kg

hope helpful ~

Original weight =90 g
Increased weight = 90* 15% =90*15/100 = 13.5g
New weight = Original weight + Increased weight
= 90+13.5=103.5g
Answer; 103.5g

help plea i am beg screenshot in

Answers

Answer:

SA = 105 in^2

Step-by-step explanation:

To find surface area, find the area of all the shapes and add it all together. This shape has 4 triangle faces. They are all the same. So we can find one of them and times by 4.

Area of a triangle:

A = 1/2b•h

= 1/2• 5 • 8

= 1/2 • 40

= 20

One triangle has area 20, so times by 4 (bc four triangles)

4•20

= 80

Area of square 5•5

= 25

Add the areas:

80 + 25

= 105 sq in

The probability distribution shows the results of a survey of people's fear of flying on an airplane. find the probability that a person who is afraid of flying has never flown before. round to the nearest thousandth.

Answers

Answer:

0.070

Step-by-step explanation:

Bc I know how to do math

Calculate the average velocity of a motor cycle that travels 72km/hr in 20 seconds.

Answers

Answer:

400m/s

Step-by-step explanation:

72×1000÷3600

=20

20×20

=400m/s

What is 1 raised to the third power?

Answers

Answer:

1

Step-by-step explanation:

Given that, 1 to the power of 3

Generally, the rules for exponentiation states that if l is any real number and m is a positive integer, then lm can be shown as:

lm = l × l × … × l (m times)

Hence, 1 to the power of 3 can be written as 13, where the number 1 is called the base, and 3 is the power or exponent of the expression.

Therefore, 13 = 1 × 1 × 1 = 1

Hence, 1 to the power of 3 comes as 1.

Answer:

1

Step-by-step explanation:

No matter what power you raise one to it will still be 1

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