3 years ago

Graph the equation below by plotting the y-intercept and a second point on the line. Y=3x-3

Mathematics

1 answer:

Zinaida [17]3 years ago

8 0

y-intercept is -3 so it must pass the vertical line -3.

Now start from point (0,-3) and rise up by 3, then go right by 1 since the slope is 3/1 or 3.

It should look like this:

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musickatia [10]

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a) The probability of selling less than 100 gallons (x≤1) is P=0.16.

b) The mean number of gallons is M=80 gallons.

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The probability of selling x, in hundred of gallons, on any day during the summer is y(x)=0.32x, in a range for x from [0;2.5].

The probability of selling less than 100 gallons (x≤1) is then:

$P(x\leq1)=\int_0^{100}0.32x\cdot dx\\\\P(x\leq1)=0.16(x_b^2-x_a^2)\\\\P(x\leq1)=0.16(1^2-0^2)=0.16$

The mean number of gallons can be calculated as:

$M=\int_0^{2.5}(y(x)/x)\cdot dx=\int_0^{2.5}(0.32)\cdot dx\\\\M=0.32(x_b-x_a)=0.32(2.5-0)=0.32*2.5=0.8$

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