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Oxana [17]
3 years ago
6

Compare the data in the table and the equation. x y 4 12 5 15 6 18 Equation: y = 3x Which representation has the greatest slope?

The equation has the greatest slope. The table has the greatest slope. The table and equation have the same slope. Their slopes cannot be determined.
Mathematics
1 answer:
Masja [62]3 years ago
7 0
(4,12)(5,15)
slope = (15 - 12) / (5 - 4) = 3/1 = 3....so the slope is 3

y = 3x...slope here is 3 as well

they have the same slope
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Answer:

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Step-by-step explanation:

Let X be the random variable that measures the decomposition time.

a)

\bf \lambda =6

In this case, since the decomposition time is exponentially distributed with a mean of 1/6, we have

\bf P(X\leq t)=1-e^{-t/6}\Rightarrow P(X>t)=1-(1-e^{-t/6})=e^{-t/6}

and we must find a t such that P(x>t)=0.5.

\bf P(X>t)=0.5\Rightarrow e^{-t/6}=0.5\Rightarrow -t/6=ln(0.5)\Rightarrow t=-6ln(0.5)=4.16\;years

b)

\bf \lambda =40

\bf P(X>t)=0.5\Rightarrow e^{-t/40}=0.5\Rightarrow -t/40=ln(0.5)\Rightarrow t=-40ln(0.5)=27.73\;years

c)

\bf \lambda =344

\bf P(X>t)=0.5\Rightarrow e^{-t/344}=0.5\Rightarrow -t/344=ln(0.5)\Rightarrow t=-344ln(0.5)=238.44\;years

d)

\bf \lambda =5584

\bf P(X>t)=0.5\Rightarrow e^{-t/5584}=0.5\Rightarrow -t/5584=ln(0.5)\Rightarrow t=-5584ln(0.5)=3870.53\;years

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zepelin [54]

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Step-by-step explanation:

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pentagon [3]

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Step-by-step explanation:

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Ronch [10]

Answer:

y = 3x - 2

Step-by-step explanation:

The equation is linear and expressed in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Given (0, - 2 ) then c = - 2

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m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (1,1) ← 2 ordered pairs from the table

m = \frac{1+2}{1-0} = 3, hence

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