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Daniel [21]
2 years ago
14

Johann fits a linear model to a set of data. The line of best fit has the equation y=0.331986x+5.33286. The scatter plot with th

e line of best fit is given below.
What is the residual value for x = 3? Give your answer as a decimal to the nearest hundredth.

Mathematics
1 answer:
Rasek [7]2 years ago
5 0

Answer:

6.33

Step-by-step explanation:

Here, we are asked to give a residual value at x = 3

This mean we are to predict the value of y at the point x= 3

To do this, what we need to do is to input the value x = 3 into the line of best fit equation.

The line of best fit equation according to the question is;

y=0.331986x+5.33286

Substituting x here, we have

y = 0.331986(3) + 5.33286

y = 0.995958 + 5.33286 = 6.328818

Question asks to give answer to the nearest hundredth and that is 6.33

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Sarah loves farmers’ markets, but hates that they only accept cash. On one recent trip, she splurged on a $15.69 jar of honey. T
tamaranim1 [39]

Answer:

$29

Step-by-step explanation:

1) Write all of the prices in a single column:

$15.69

$3.45

 $1.75

$0.98

$0.55

 $6.15

2) Round all of the items to the nearest dollar:

$16

$3

$2

$1

$1

$6

3) Add all of the values:

$29

5 0
2 years ago
Read 2 more answers
Which expressions simplify to a rational answer? Select each correct answer. 29√⋅4√ 3√⋅16−−√ 73⋅−√3√ 5√⋅5√
PolarNik [594]

Answer:

The correct options are 1, 3 and 4.

Step-by-step explanation:

We need to find the expressions whose simplified form is a rational number.

Rational number: If a number is defined in the form of p/q where p and q are integers and q≠0, then it is called a rational number.

For example: 0,2, 4.3 etc.

Irrational number: If a number can not defined in the form of p/q, where p and q are integers and q≠0, then it is called an irrational number.

First expression is

2\sqrt{9}\cdot \sqrt{4}=2(3)\cdot (2)\Rightarrow 6\cdot 2=12

12 is a rational number.

Second expression is

\sqrt{3}\cdot \sqrt{16}=\sqrt{3}\cdot 4\Rightarrow 4\sqrt{3}

4\sqrt{3} is an irrational number.

Third expression is

7\sqrt{3}\cdot \sqrt{3}\Rightarrow 7\cdot 3=21

21 is a rational number.

Fourth expression is

\sqrt{5}\cdot \sqrt{5}=5

5 is a rational number.

Therefore, the correct options are 1, 3 and 4.

4 0
2 years ago
Tax returns filed manually have a 20% chance of containing errors, while tax returns filed electronically have a 0.05% chance of
suter [353]

Answer:

B) 538, 650

Step-by-step explanation:

Given:

Errors on tax returns filed manually  = 20%

Errors on tax returns filed electronically  = 0.05%

Tax return filled in each way = 2.7 million

Manual filing:

2,700,000 x 20% = 2,700,000*0.2 = 540,000

Electronic filing:

2,700,000 x 0.05% = 2, 700,000*0.0005 = 1,350


Error difference = 540,000 - 1,350 = 538,650

There will be 538,650 more erroneous tax returns filed manually than there are filed electronically.

Thank you.

3 0
2 years ago
Read 2 more answers
What are the correct intermediate steps of the following data set when it is being sorted with the bubble sort? 15, 20, 10, 18
love history [14]

Answer:

A. 15,10,20,18 -- 15,10,18,20 -- 10,15,18,20

Step-by-step explanation:

Bubble sorting can be defined as a technique or methodology whereby numbers that are not in their proper order are sorted into proper order that is from smallest to highest( increasing to decreasing order).

The method of bubble sorting involves the shuffling or swapping of adjacent numbers until the numbers are well sorted or arranged.

In the above question, we were given, a set of numbers:

15, 20, 10, 18

Step 1

20 is adjacent to 10

20 > 10

hence we swap

= 15,10,20,18

Step 2

From, 15,10, 20,18

20 is adjacent to 18

20 > 18

hence we swap

= 15,10,18,20

Step 3

From step 2, which gave us 15,10,18,20

15 us adjacent to 10

15 > 10

We swap

= 10,15,18,20

Hence,

15, 20, 10, 18 -- 15,10,20,18 -- 15,10,18,20 -- 10,15,18,20

Therefore, Option A is the correct option.

4 0
2 years ago
Becky is competing in a 8-mi road race. She runs at a constant speed of 6 mi/h write an equation in slope intercept form to repr
enot [183]

Answer:

y=-6x+8

Step-by-step explanation:

8 is the miles she has she runs 6 miles so she has 2 miles left that's why when we put it in slope intercept forms it's going to be

y=-6x+8

6 0
2 years ago
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