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vampirchik [111]
3 years ago
15

Find the equation of the line in slope-intercept form. m = -4/7 through (14,3) ANSWER TODAY CORRECTLY AND I WILL GIVE YOU BRAINL

IEST
Mathematics
2 answers:
Sergio039 [100]3 years ago
5 0
I the. By shy yskskekeke
polet [3.4K]3 years ago
5 0

Answer:

y = (-4/7)x + 5

Step-by-step explanation:

We want the equation of a line in slope-intercept form y = mx + b.

Knowing that m = -4/7, we write y = (-4/7)x + b.

We know this line passes through (14, 3) and thus can substitute 14 for x and 3 for y in the above equation, obtaining:

3 = (-4/7)(14) + b

Solving for the y-intercept, b, we get

         

3 = -4(-2) + b, or

b = 5

Thus the desired equation is y = (-4/7)x + 5.

       

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The formula
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Answer

the answer is P=7.8

Step-by-step explanation:

P=14.7e           -0.21x

X=14.7e      (-0.63)

take the natrual log of both sides

1n(P)=1n(14.7e(-.63)

1n(P)=1n(14.7)-.63

(because ln(e^a) = a)

1n(P)=2.688 - .63

1n(P)=2.058

P=e       2.058

P=7.8

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3 years ago
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ArbitrLikvidat [17]

Answer:

a) Sample correlation coefficient, r = 0.7411

bi) test statistic, t = 4.102

bii) P-value = 0.000736

Step-by-step explanation:

a) The formula for the sample correlation coefficient is given by the formula:

r = \frac{S_{xy} }{\sqrt{S_{xx} S_{yy} }} }

S_{xx} = 2,648,130.357\\S_{yy} = 36.7376,\\S_{xy} = 7408.225

r = \frac{7408.225}{\sqrt{2648130.357*36.7376} }

r = 0.7511

b)

i) formula for the test statistic is given by the formula:

t = \frac{r\sqrt{n-1} }{\sqrt{1 - r^{2} } }

sample size, n = 4

t = \frac{0.7511\sqrt{14-1} }{\sqrt{1 - 0.7511^{2} } }

t = 4.102

ii) Degree of freedom, df = n -2

df = 14 -2

df = 12

The P-value is calculate from the degree of freedom and the test statistic using excel

P-value =(=TDIST(t,df,tail))

P-value = (=TDIST(4.1,12,1)

P-value = 0.000736

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Answer:

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