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Verizon [17]
3 years ago
15

Write the equation of the line that passes through the points (3,7) and (-1,2) in point-slope form and slope-intercept form. I a

m stuck on how to do this.
Mathematics
1 answer:
igomit [66]3 years ago
7 0

First, find the slope (m):   m = \frac{y2 - y1}{x2 - x1} = \frac{7 - 2}{3 - (-1}) = \frac{5}{4}

Next, input ONE of the points (x₁, y₁) and the slope into the Point-Slope formula:

y - y₁ = m(x - x₁)

y - 7 = \frac{5}{4}(x - 3)

Lastly, isolate "y" to find the Slope-Intercept formula: y = mx + b

y - 7 = \frac{5}{4}x - \frac{15}{4}

    y = \frac{5}{4x}  + \frac{13}{4}

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3 years ago
A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the l
lesya692 [45]

Answer:

The probability that a call last between 4.2 and 4.9 minutes is 0.4599

Step-by-step explanation:

Let X be the length in minutes of a random phone call. X is a normal distribution with mean λ=4.2 and standard deviation σ=0.4. We want to know P(4.2 < X < 4.9). In order to make computations, we will use W, the standarization of X, given by the following formula

W = \frac{X-\mu}{\sigma} = \frac{X-4.2}{0.4}

We will use \phi , the cummulative distribution function of W. The values of \phi are well known and the can be found in the attached file

P(4.2 < X < 4.9) = P(\frac{4.2-4.2}{0.4} < \frac{X-4.2}{0.4} < \frac{4.9-4.2}{0.4}) = P(0 < W < 1.75) = \\ \phi(1.75) - \phi(0) = 0.9599-0.5 = 0.4599

We conclude that the probability that a call last between 4.2 and 4.9 minutes is 0.4599

Download pdf
7 0
3 years ago
5m^{2}\sqrt{25m^{8}+15m^{6}+5m^{2}}
xxTIMURxx [149]
You can square the whole problem to cancel out the square root. Might make things easier.

5 0
3 years ago
Which transformation of a scalene triangle produces an image that is similar, but not congruent, to the original?
melisa1 [442]
I'm guessing dilation of magnitude 6 centered at the origin
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3 years ago
A plane takes off and climbs steadily gor 30 minutes until it reaches 35,000 feet. It travels at that altitude for 2 hours until
horrorfan [7]
This is a function where:
x - time in minutes;
y = f ( x ) - altitude of a plane in feet.
Max altitude = 35,000 feet
0.5 h + 2 h + 15 min = 30 min + 120 min + 15 min = 165 min
Domain:
x ∈ [ 0;  165 ]
Range:
y ∈ [ 0;  35,000 ]
6 0
3 years ago
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