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3 years ago

The spinner has 8 different rewards and the gift card is 1/8

1 answer:

7 0

The probability of winning the gift card in the first place is always 1/8 no matter how many people have spun the gift card. That being said, by the same principal, the change of them both winning a gift card is 2/16 which reduces to 1/8. So the probability stays the same no matter what. If there was a limited number of gift cards, the probability would change with each spin and each win. But it didn't say the number of cards available changes, just that it stays 1/8.

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Which groups on the periodic table contain metalloids?

natali 33 [55]

Answer:

Group 13 to group 16

Step-by-step explanation:

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3 years ago

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Show that every triangle formed by the coordinate axes and a tangent line to y = 1/x ( for x > 0)

vfiekz [6]

Answer:

Step-by-step explanation:

given a point $(x_0,y_0)$ the equation of a line with slope m that passes through the given point is

$y-y_0 = m(x-x_0)$ or equivalently

$y = mx+(y_0-mx_0)$ .

Recall that a line of the form $y=mx+b$ , the y intercept is b and the x intercept is $\frac{-b}{m}$ .

So, in our case, the y intercept is $(y_0-mx_0)$ and the x intercept is $\frac{mx_0-y_0}{m}$ .

In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph $(x_0,\frac{1}{x_0})$ . Which means that $y_0=\frac{1}{x_0}$

The slope of the tangent line is given by the derivative of the function evaluated at $x_0$ . Using the properties of derivatives, we get

$y' = \frac{-1}{x^2}$ . So evaluated at $x_0$ we get $m = \frac{-1}{x_0^2}$

Replacing the values in our previous findings we get that the y intercept is

$(y_0-mx_0) = (\frac{1}{x_0}-(\frac{-1}{x_0^2}x_0)) = \frac{2}{x_0}$

The x intercept is

$\frac{mx_0-y_0}{m} = \frac{\frac{-1}{x_0^2}x_0-\frac{1}{x_0}}{\frac{-1}{x_0^2}} = 2x_0$

The triangle in consideration has height $\frac{2}{x_0}$ and base $2x_0$ . So the area is

$\frac{1}{2}\frac{2}{x_0}\cdot 2x_0=2$

So regardless of the point we take on the graph, the area of the triangle is always 2.

6 0

2 years ago

Please help really quick I really need some help with this question

Marta_Voda [28]

Answer:

first two because they align almost perfectly with the scatterplot and fit the direction described

Step-by-step explanation:

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2 years ago

4g + 3(-3 + 4g) = 1-g. Solve the equation. Can someone help me ASAP. I'm confused

Olegator [25]

4g+3(-3+4g)=1-g
Distribute the 3(-3+4g)
4g-9+12g=1-g
Add 4g and 12g
16g-9=1-1g
Add 1g and 16g (variables always have an invisible 1 in front)
17g-9=1
Add 9 and 1
17g=10
Divide both sides by 17 and the answer is g=10/17

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2 years ago

The cube below has a side length of one unit. What is its volume?

sergiy2304 [10]

1*1*1=1

D. 1 Cubic Unit(s)

height*width*length=volume

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2 years ago

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