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andreyandreev [35.5K]
2 years ago
7

What is the equation of the line in the graph

Mathematics
1 answer:
iren [92.7K]2 years ago
3 0

Always, ALWAYS remeber this format: y = mx + b

In this equation, 'm' is the slope, and 'b' is the y-intercept

When you're trying to find a slope, remember that the equation is \frac{rise}{run}

When finding the rise and run, look at two points that are on the graph AND on the line as well. Essentially, make sure the points you're using are integers.

In this, case, the rise is -3, and the run is 2. This means that the slope is  \frac{-3}{2}

Now we have the first part of our equation:

y = - \frac{3}{2} + b

But wait! How do we find b?

Sometimes you have to input x in order to find it, but only when you're not supplied with a graph. In this case, all you have to do is look!

The point of the line that is on the y-axis is called the y-intercept.

In this graph, the y-intercept is -1

Now we have our complete equation!

y = - \frac{3}{2} - 1

Good luck!

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A bag contains seven tiles labeled B, C, D, E, F, G, and H. One tile will be randomly picked. What is the probability of picking
Licemer1 [7]

Answer:

\sf \dfrac{1}{7}

Step-by-step explanation:

Given labeled tiles: B, C, D, E, F, G, H

Total number of tiles = 7

Vowels = A, E, I, O and U

⇒ Total number of vowel tiles in bag = 1

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

\implies \sf Probability\:of\:picking\:a\:vowel= \dfrac{Number\:of\:vowel\:tiles}{Total\:number\:of\:tiles}=\dfrac{1}{7}

7 0
2 years ago
Simplify (8.3) 2.10.(6-1)​
vagabundo [1.1K]

Answer:

8 .3 \times 2.10.5

Step-by-step explanation:

Simplify 6 - 1 to 5.

8.3 \times 2.10 .5

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>8</u><u>.</u><u>3</u><u> </u><u>×</u><u> </u><u>2.10</u><u>.</u><u>5</u>

6 0
2 years ago
A box contains 20 light box of which five or defective it for lightbulbs or pick from the box randomly what's the probability th
Snowcat [4.5K]

Answer:

1

Step-by-step explanation:

Given:-

- The box has n = 20 light-bulbs

- The number of defective bulbs, d = 5

Find:-

what's the probability that at most two of them are defective

Solution:-

- We will pick 2 bulbs randomly from the box. We need to find the probability that at-most 2 bulbs are defective.

- We will define random variable X : The number of defective bulbs picked.

Such that,               P ( X ≤ 2 ) is required!

- We are to make a choice " selection " of no defective light bulb is picked from the 2 bulbs pulled out of the box.

- The number of ways we choose 2 bulbs such that none of them is defective, out of 20 available choose the one that are not defective i.e n = 20 - 5 = 15 and from these pick r = 2:

        X = 0 ,       Number of choices = 15 C r = 15C2 = 105 ways

- The probability of selecting 2 non-defective bulbs:

      P ( X = 0 ) = number of choices with no defective / Total choices

                       = 105 / 20C2 = 105 / 190

                       = 0.5526

- The number of ways we choose 2 bulbs such that one of them is defective, out of 20 available choose the one that are not defective i.e n = 20 - 5 = 15 and from these pick r = 1 and out of defective n = 5 choose r = 1 defective bulb:

        X = 1 ,       Number of choices = 15 C 1 * 5 C 1 = 15*5 = 75 ways

- The probability of selecting 1 defective bulbs:

      P ( X = 1 ) = number of choices with 1 defective / Total choices

                       = 75 / 20C2 = 75 / 190

                       = 0.3947

- The number of ways we choose 2 bulbs such that both of them are defective, out of 5 available defective bulbs choose r = 2 defective.

        X = 2 ,       Number of choices = 5 C 2 = 10 ways

- The probability of selecting 2 defective bulbs:

      P ( X = 2 ) = number of choices with 2 defective / Total choices

                       = 10 / 20C2 = 10 / 190

                       = 0.05263

- Hence,

    P ( X ≤ 2 ) = P ( X =0 ) + P ( X = 1 ) + P (X =2)

                     = 0.5526 + 0.3947 + 0.05263

                     = 1

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2 years ago
Find the Values of X.
Rzqust [24]
Z = 99°
~ It is equivalent to the angle across from it.

X = 4
~ 99+7x+53=180 (add similar terms)
152+7x=180 (subtract 152 from both sides)
7x=28 (divide by 7)
x=4
8 0
3 years ago
The courtyard behind Jennie's house is shaped like a trapezoid. The bases measure 8 meters and 11 meters. The height of the trap
Mkey [24]
Area of the trapezoid=
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A=1/2(8+11)×12
A=1/2(19)×12
A=6×19
A=114 square meters. As a result, the area of the courtyard is 114 square meters. Hope it help!
8 0
3 years ago
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