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asambeis [7]
2 years ago
8

What is the slope of the line passing through the given points 4,2 and -2,1

Mathematics
1 answer:
solniwko [45]2 years ago
8 0

Answer:

Alright, here is the formula.

m = (y2 -- y1) / (x2 -- x1)

So, now we have to take the points and replace them with the variables.

m = (1 - 2) / (-2 - 4)

Great! So now, we have to solve.

1 - 2 = -1

-2 - 4 = -6

So now, it would be:

-1/6

That is the slope! Hope this helps! :)

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A market research team compiled the following discrete probability distribution, where X represents the number of automobiles ow
rodikova [14]

Answer:

The standard deviation of X is 0.7

Step-by-step explanation:

We are given the following distribution:

    x:     0        1         2       3    

P(x):    0.3     0.5     0.2     0.4

We have to find the standard deviation of X.

Formula:

E(x) = \displaystyle\sum x_iP(x_i)\\\\E(x) =0(0.3) + 1(0.5) + 2(0.2) + 3(0.4)\\\\E(x) = 2.1\\\\E(x^2) = \displaystyle\sum x_i^2P(x_i)\\\\E(x^2) =0(0.3) + 1(0.5) + 4(0.2) + 9(0.4)\\\\E(x^2) = 4.9\\\\Var(x) = E(x^2) - (E(x))^2 = 4.9-(2.1)^2 = 0.49\\\\\sigma(x) = \sqrt{Var(x)} =\sqrt{0.49} = 0.7

Thus, the standard deviation of X is 0.7

6 0
3 years ago
Can you help me solve this please​
Lostsunrise [7]

9514 1404 393

Answer:

  180 days

Step-by-step explanation:

The formulas for the volume of a cone and a cylinder are ...

  V = πr²h . . . . . volume of a cone

  V = (1/3)πr²h . . . . . volume of a cylinder

Comparing these formulas, you can see that the 6' high cone at the top will have the same volume as a cylinder of the same radius that is 2' high. So, we can simplify the problem to finding the volume of a cylinder that is 66+2 = 68' high.

  V = π(12 ft)²(68 ft) = 9792π ft³ ≈ 30752.5 ft³

When the corn is used at the rate of 170 ft³/day, it will last ...

  (30752.5 ft³)/(170 ft³/day) ≈ 180.96 days

The corn will last 180 days.

_____

<em>Additional comment</em>

In scenarios like this, it is inappropriate to round up. There will be about 162 ft³ of corn left after 180 days, which is not enough for an additional day.

7 0
2 years ago
_9) What are the solutions of the equation (x – 3)2 + 2(x – 3) - 8 = 0?
Mashcka [7]

Answer:

Step-by-step explanation:

Two numbers r and s sum up to \frac{1}{2} exactly when the average of the two numbers is \frac{1}{2}*\frac{1}{2} = \frac{1}{4}. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C.

8 0
3 years ago
What the answer for B?
LenKa [72]
The answer is 49.89
hope this helped:)
8 0
3 years ago
Read 2 more answers
393 divided by 9 and remainder
malfutka [58]

Answer: 43.6 is the answer for your problem. If you have a question, just ask me.

5 0
3 years ago
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