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katen-ka-za [31]
3 years ago
15

Write an equation of the line in slope intercept form

Mathematics
1 answer:
VladimirAG [237]3 years ago
5 0

Answer:

a)y=3/2x+6 b) y= -4/3x-2

Step-by-step explanation:

a)using the points given (-2,2) and (0,6)

we use rise over run formula and get 3/2

and we get y intercept by looking at when the line touches the y line in this case 6

using y=mx+b formula when m is slope and b is y interecpt we plug the numbers in

so we get y=3/2x+6

b) For this we use the points given which are (-3,2) and (0,2)

we use the rise over run formula and get 4/3 but since the line is going down it means the slope is negative so we get -4/3

and the y intercept we get by looking at when it touches the y line in this case it touches at -2

so using the same formula as  the first question

but since the y interecpt is negative we change the plus sign for a minus

we get y=-4/3x-2

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Scientists estimate that the distribution of the life span of the Galápagos Islands giant tortoise is
Colt1911 [192]

Answer:

The 90th percentile for the life span of the Galápagos Islands giant tortoise is 119.4 years.

Step-by-step explanation:

Let <em>X</em> denote the  life span of the Galápagos Islands giant tortoise.

It is provided that <em>x</em> follows a normal distribution with mean 100 years and standard deviation 15 years.

Compute the 90th percentile value as follows:

P (X < x) = 0.90

⇒ P (Z < z) = 0.90

The corresponding value of <em>z</em> is, <em>z</em> = 1.29.

Compute the value of <em>x</em> as follows:

z=\frac{x-\mu}{\sigma}\\\\1.29=\frac{x-100}{15}\\\\x=100+(1.29\times 15}\\\\x=119.35\\\\x\approx 119.4

Thus, the 90th percentile for the life span of the Galápagos Islands giant tortoise is 119.4 years.

8 0
3 years ago
The net of a cube is shown. If the length of each edge of the cube is 10 cm, find the surface area of the cube.
Digiron [165]

Answer:The surface area of the cube is 100 cm.

Step-by-step explanation:

So since a cube has six faces and all of its lengths are equal. we could use the equation.

10^2 *6= 100 *6= 600

3 0
3 years ago
What is the volume of the cylinder below?
tatyana61 [14]

Answer:

I would go with the first one

Step-by-step explanation:

I put 4/3 x 3.14 x 6² on the calculator and it gave me 150.72 so A is the closest I'm not 100% sure but ye

5 0
3 years ago
How do I graph<br><br> y=-1/2x-1
katrin [286]

Answer:

First graph -1 (0, -1) on the graph. Then go 1 unit down and 2 units to the right. Mark the point and draw a line passing the point. Hope this helps, thank you

8 0
3 years ago
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What is the length of the dotted line in the diagram below? Round to the nearest tenth.
Ratling [72]

Answer:

length of dotted diagonal line = 11

Step-by-step explanation:

Using the Pythagorean theorem:

length of rectangle² = 9² + 6² = 81 + 36 = 117

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4 0
3 years ago
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