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2 years ago

5

Stan's, Marks and Wayne's ages are consecutive whole numbers. Stan is the youngest, and Wayne is the oldest. The sum of their ag

es is 102. Find their ages

1 answer:

Lisa [10]2 years ago

4 0

Answer: Wayne is 35, Mark is 34, and Stan is 33.

33+34+35 = 102

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A 2-column table with 6 rows. The first column is labeled miles driven with entries 27, 65, 83, 109, 142, 175. The second column

Helen [10]

Answer:

1) The linear regression model is y = -0.0348·x + 13.989

2) The correlation coefficient is -0.0725

3) The strength of the model is strong - association

Step-by-step explanation:

1)

X Y XY X²

27 13 351 729

65 12 780 4225

83 11 913 6889

109 10 1090 11881

142 9 1278 20164

175 8 1400 30625

∑ 601 63 5812 74513

From y = ax + b, we have

$a = \frac{n\sum xy - \sum x\sum y }{n\sum x^{2}-\left (\sum x \right )^{2}} = \frac{6 \times 5812 - 601 \times 63}{6 \times 74513-601^{2}} = - 0.0348$

b = 1/n(∑y -a∑x) = 1/6(63 - (0.0348)×601) = 13.989

Therefore, the linear regression model is y = -0.0348·x + 13.989

2)

$r = \frac{n\sum xy - \sum x\sum y }{\sqrt{[n\sum x^{2}-\left (\sum x \right )^{2}] [n\sum y^{2}-\left (\sum y \right )^{2}]}} = \frac{6 \times 5812 - 601 \times 63}{\sqrt{[6 \times 74513-601^{2}] [6 \times 3969 - 63^2]} } = - 0.0725$

3) The strength is - association.

5 0

3 years ago

Read 2 more answers

Find x if the perimeter of a rectangle is 140. The rectangle has a length of 5x and a width of 4x-2.

RSB [31]

Answer:

x=8

Step-by-step explanation:

p=(l+b)

140=2(x+4x-2)

140=2(9x-2)

140=18x-4

140+4=18x

144=18x

144/18=x

8=x

4 0

2 years ago

Translate: 5 times a number is at least 6Q

Serhud [2]

Answer:

werthtqrehsrewagf

Step-by-step explanation:

xsxdfswdfzshtrfctgfrg

8 0

3 years ago

8 is subtracted from a number,and then the difference is multiplied by 2.the result is 24.find the number

xz_007 [3.2K]

Answer:

20

Step-by-step explanation:

suppose the number is x

so

(x-8) * 2 =24

x-8=12

x=12+8

x=20

3 0

3 years ago

Select all of the ordered pairs that make the inequality y > x2 + 3x – 4 true. (0, 0) (2, 1) (–2, –1) (–5, –1)

fredd [130]

The correct answers are:
___________________________________________________
[A]: " (0, 0) " ; <u>AND</u>:
___________________________________________________
[C]: " (-2, -1) " .
___________________________________________________

Explanation:
___________________________________________________

[A]: " (0, 0) " ; is correct;

Since, when "x = 0" and y = 0 :

"0 <span> > - 4 " ; which is correct.
</span>___________________________________________________
[B]: "(2, 1)" is incorrect, since:

when "x = 2" and "y = 1" ;

" 1 > 6" ; is incorrect.
___________________________________________________
[C]: "(-2, -1)" ; is correct;

Since, when "x = -2" and y = -1" ; then:

"-2 <span> > -6 ; which is correct.
</span>___________________________________________________
[D]: " (-5, -1) " ; is INCORRECT.

since when "x = -5" and "y = -1 ;

then: -1 > 6 ; which is INCORRECT.
___________________________________________________

8 0

3 years ago