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Irina-Kira [14]
3 years ago
13

Alex has $4,500 in his college savings account. When he starts college, he withdraws $750 from his account every month. Based on

this information, which equation best represents the relationship between the number of months, x, and the amount of money left in his savings account, y?
Mathematics
1 answer:
MrRissso [65]3 years ago
6 0
Easy 4,500 - 750x = y x is the number of months which is the independent variable (yes this is science in math) y which is the dependent variable which is the amount he has after x amount of months Ex: 2= x 4500 - 750 x 2 = 4500 - 1500 = $3,000 left in his account
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The table shows the shipping costs for items of different values. A 2-column table with 4 rows. The first column is labeled tota
Lisa [10]

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

4 0
4 years ago
Read 2 more answers
Rectangle ABCD is shown with diagonal AC drawn. Point F is on AC and point E on DC such that FE is perpendicular to DC. Prove tr
777dan777 [17]

Triangle ABC is similar to triangle CEF.

<u>Explanation:</u>

<u></u>

Diagram is inserted for the reference.

ABCD is a rectangle.

ABC is a right angled triangle because all the angles of the rectangle are 90◦ - (a)

CEF is a right angled triangle because FE is perpendicular to DC – (b)

In triangles ABC and CEF,

1. Angle ABC = Angle CEF = 90◦ (Both are right angles from a and b)

2. Angle BCA = Angle EFC (Alternate angles on parallel lines are equal on intersection)

Hence using Similarity property of AA (Angle, Angle), Triangle ABC and CEF are similar.

<u></u>

5 0
3 years ago
Find the measure of each marked angle (8x-8) (6x)
Elis [28]

Answer:

multiply 6x into 8x and -8 (hope this helps)

4 0
4 years ago
Ron's recycle shop had an old paper-shredding machine. Business was good, so he bought a new paper-shredding machine. The old ma
levacccp [35]

Answer: 1 hour 20 minutes

Step-by-step explanation:

Given : The old machine could shred a truckload of paper in 4 hours.

Rate of work done by old machine = \dfrac{1}{4}

The new machine could shred the same truckload in 2 hours.

Rate of work done by new machine = \dfrac{1}{2}

Let 't' be the time taken by both of them working together , then we have the following equation:-

\dfrac{1}{t}=\dfrac{1}{4}+\dfrac{1}{2}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{1+2}{4}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{3}{4}\\\\\Rightarrow t=\dfrac{4}{3}=1\dfrac{1}{3}\ \text{ hours}

Since 1 hour = 60 minutes

Then, \dfrac{1}{3}\ \text{ hours}=\dfrac{1}{3}\times60=20\text{ minutes}

Hence, it will take 1 hour 20 minutes to shred the same truckload of paper if Ron runs both shredders at the same time.

8 0
4 years ago
Please Help me Due today
OLga [1]

Answer:

weak negative

Step-by-step explanation:

5 0
3 years ago
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