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Luba_88 [7]
3 years ago
14

Y=65x x is the time in hours y is the number of miles What is the rate/slope?​

Mathematics
1 answer:
natka813 [3]3 years ago
5 0
The rate i believe is 65 because M is the slope/rate and the equation is y=mx+b and 65 is in the place of M.
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The average commute time to work (one way) is 25 minutes according to the 2005 american community survey. if we assume that comm
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Given that t<span>he average commute time to work (one way) is 25 minutes according to the 2005 american community survey. if we assume that commute times are normally distributed and that the standard deviation is 6.1 minutes, what is the probability that a randomly selected commuter spends less than 18 minutes commuting one way

The probability that a randomly selected number from a normally distributed dataset with a mean of μ and a standard deviation of σ is less than a value, x, is given by:

</span><span>P(X\ \textless \ x)=P\left(z\ \textless \  \frac{x-\mu}{\sigma} \right)

Given that the average </span><span>commute time to work (one way) is 25 minutes and that the standard deviation is 6.1 minutes,

the probability that a randomly selected commuter spends less than 18 minutes commuting one way is given by:

P(X\ \textless \ 18)=P\left(z\ \textless \  \frac{18-25}{6.1} \right) \\  \\ =P(z\ \textless \ -1.148)=\bold{0.1256}</span>
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Read 2 more answers
The point (6, 6) is on the graph y = f(x) . Find the corresponding coordinates of this point on the graph y = 4f[1/3x +9] -7
miss Akunina [59]

Answer:

Correct answer is:

<em>a. (-9,17)</em>

Step-by-step explanation:

We are given that a point (6, 6) lies on the graph of y =f(x).

Putting the values from the given point:

6 =f(6)

That means we are given that f(6) =6 ..... (1)

And we have to find the corresponding coordinates of this point on the graph of y = 4f[\frac{1}3x +9] -7

From equation (1), we know the value of f(6).

so, let us convert f[\frac{1}3x +9] to a form such that it becomes equal to f(6)

\Rightarrow \dfrac{1}{3}x +9 =6\\\Rightarrow \dfrac{1}{3}x=-3\\\Rightarrow x = -9

So, let us put x = -9 in the given function:

4f[\frac{1}3\times (-9) +9] -7\\\Rightarrow 4f[-3 +9] -7\\\Rightarrow 4f(6) -7

Now, using equation <em>(1)</em>, putting f(6)=6

\Rightarrow 4\times 6 -7\\\Rightarrow 24-7 \\\Rightarrow y = 17

Therefore, the point the corresponding point is:

<em>a. (-9,17)</em>

8 0
4 years ago
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