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3 years ago

Toss three fair coins and let x equal the number of heads observed

1 answer:

5 0

Let x=chances of receiving heads Since there is 50% or 1/2 chance of getting heads and 1/2 of getting tails. 100·1/2·1/2·1/2=12.5% chance

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Please answer <33 I would lava it :)

allsm [11]

Answer:

5 gallons

Step-by-step explanation:

3/4 + 6/8 + 20/8 + 1

6/8 + 6/8 + 20/8 + 8/8

40/8 = 5 gallons

3 0

3 years ago

Find the slope and the equation of the line tangent to f (x )equals StartFraction 2 x minus 1 Over x plus 7 EndFraction at x =

kondor19780726 [428]

Answer:

$y=\frac{5}{27} x-\frac{1}{27}$

Step-by-step explanation:

$f(x)=\frac{2x-1}{x+7}$

To find slope of f(x) at x=2, find the derivative f'(x)

apply quotient rule to find derivative

$f(x)=\frac{2x-1}{x+7}\\f'(x)=\frac{2(x+7)-1(2x-1)}{(x+7)^2} \\f'(x)=\frac{15}{(x+7)^2}$

f'(x) is the slope . Now find slope at x=2. plug in 2 for x

$f'(x)=\frac{15}{(x+7)^2}\\f'(2)=\frac{15}{(2+7)^2}=\frac{5}{27}$

find out f(x) when x=2

$f(x)=\frac{2x-1}{x+7}\\f(2)=\frac{2(2)-1}{2+7}=\frac{1}{3}$

Now frame the equation of the line

(2,1/3) slope = 5/27

$y-y_1=m(x-x_1)\\y-\frac{1}{3}=\frac{5}{27} (x-2)\\y-\frac{1}{3}=\frac{5}{27} x-\frac{10}{27}\\\\y=\frac{5}{27} x-\frac{1}{27}\\\\$

6 0

3 years ago

Solve each equation.|n| = 8

e-lub [12.9K]

You have the following equation:

|n| = 8 the two vertical bras | | means absolute value of variable n

when you have an equation with an absolute value you consider that n could be negative or positive, because the absolute value of a number always results in a positive number. Then, n can be 8 or -8, because |-8| = |8| = 8. Hence, you have

n = ±8

7 0

1 year ago

What conic section is this 4x^2 +9y^2 =81?

Contact [7]

This follows the base equation of a circle:

(x - h)^2 + (y - k)^2 = r^2

both of the variables are squared, and they're being added--you've got a circle.

3 0

4 years ago

Makayla is making eleven gift baskets Makayla wants to tie a bow on the handle of each basket.It takes one-third yard of ribbon

Romashka-Z-Leto [24]

No because when u do 3/4, you get 1R1 she only has enough for 1 basket.

6 0

3 years ago