Ask question

Ask question

All categories

2 years ago

9

The table shows the shipping costs for items of different values. A 2-column table with 4 rows. The first column is labeled tota

l cost of items (in dollars) with entries 25, 45, 50, 70. The second column is labeled shipping costs (in dollars) with entries 5.99, 8.99, 8.99, 10.99. Which best describes the strength of the model? a weak positive correlation a strong positive correlation a weak negative correlation a strong negative correlation

2 answers:

Lisa [10]2 years ago

4 0

A strong positive correlation.

Step-by-step explanation:

The question requires you to calculate the correlation coefficient and then make a conclusion about its value.

Form a table as shown where x is cost of items and y is shipping cost

x y xy x² y²

25 5.99 149.8 625 35.9

45 8.99 404.6 2025 80.8

50 8.99 449.5 2500 80.8

70 10.99 769.3 4900 120.8

190 34.96 1773.2 10050 318.3 ------sum

The formula for correlation coefficient follows;

r=n(∑xy)-(∑x)(∑y) ÷ √{[n∑x²-(x)²] [n∑y²-(y)²]}

where n=4

r=4(1773.2)-(190)(34.96) ÷ √{[4(10050)-190²] [4(318.3)-34.96²]}

r=450÷ √{4100*51)

r=450÷√209100

r=450÷457.3

r=0.98409

The value of r indicates a stronger positive correlation

Learn More

Correlation coefficient :brainly.com/question/12528676

Keywords :shipping costs,cost of items, strength of the model

#LearnwithBrainly

krok68 [10]2 years ago

3 0

Answer:

B

Step-by-step explanation:

a strong positive correlation

You might be interested in

Julie is a math tutor. She charges each student $210 for the first 7 hours of tutoring and $20 for each additional hour. When th

trasher [3.6K]

I'm sorry I do not know how to set up the equation but I do know it's 17 hours because 7(30)= 210 and 10(20)= 200 and 200+210=410

5 0

2 years ago

Susan, a recent college graduate, makes a base salary of $70,000 per year. Susan has federal income tax withholding of $12,000,

Damm [24]

Answer:

Susan's take-home pay <u>$48,645</u>.

Step-by-step explanation:

Given:

Susan, a recent college graduate, makes a base salary of $70,000 per year. Susan has federal income tax withholding of $12,000, and state tax withholding of $4,000. Employers are required to withhold a 6.2% Social Security tax and a 1.45% Medicare tax.

Now, to find Susan's take-home pay.

Basic salary = $70,000.

Now, her tax withholdings:

Federal income tax = $12,000.

State tax = $4,000.

<u><em>Social security tax = 6.2% of $70,000.</em></u>

$=\frac{6.2}{100} \times 70,000\\\\=0.062\times 70,000\\\\=\$4340.$

<u><em>Medicare tax = 1.45% of $70,000.</em></u>

$=\frac{1.45}{100} \times 70000\\\\=0.0145\times 70000\\\\=\$1015.$

Now, to get the take-home pay of Susan's we subtract all the tax holdings of federal, state, social and medicare from the basic salary:

$70,000-(12,000+4,000+4340+1015)$

$=70,000-(21,355)$

$=70,000-21,355$

$=\$48,645.$

Therefore, Susan's take-home pay $48,645.

7 0

1 year ago

Dan is fourteen years older than Marge. Eight years ago, Dan was three times as old as Marge. Find their present age.

34kurt

Answer:

<u>Marge's</u> present age = 14 ; <u>Dan's</u> present age = 29

Step-by-step explanation:

Present age

Let Marge's present age be = M

Dan's present age [D] : 14 years elder than Marge = M + 14

8 years ago

Marge Age = M - 8

Dan's Age = D - 8 = (M + 14) - 8 = M + 6

{Given} : Dan's age = 3 times Marge's age

M + 6 = 3 (M - 8)

M + 6 = 3M - 24

6 + 24 = 3M - M

30 = 2M

M = 30/2

M = 15 [Marge's present age]

Dan's present age [D] = M + 14 = 29

5 0

1 year ago

What interest will be earned if $6300 is invested for 3 years at 12% compounded monthly? Write your answer rounded to the neare

Butoxors [25]

Answer:
Interest earned = 2713.8

Explanation:
We will solve this problem on two steps:
1- get the final amount after three years
2- get the interest earned by subtracting the initial amount from the final one.

1- getting the final amount after 3 years:
The formula that we will use is as follows:
A = P (1 + r/n)^(nt)
where:
A is the final amount we want to calculate
P is the initial amount = 6300
r is the interest = 0.12
n is the number of compounds per year =12
t is time in years = 3

Substitute to get the final amount:
A = P (1 + r/n)^(nt)
A = 6300 (1 + 0.12/12) ^ (12*3)
A = 9013.8

2- getting the interest earned:
Interest earned = final amount - initial amount
Interest earned = 9013.8 - 6300
Interest earned = 2713.8

Hope this helps :)

7 0

1 year ago

Read 2 more answers

The time that a butterfly lives after emerging from its chrysalis can be modelled by a random variable T, the model here taking

olasank [31]

Xd answer is d I hope u find the answer

8 0

2 years ago