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2 years ago

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A student is flipping a fair coin. His first 2 flips landed on heads while his next 3 flips landed on tails. What is the probabi

lity that the student's next flip will be tails?

1 answer:

Vikentia [17]2 years ago

8 0

Answer:

50 %

Step-by-step explanation:

the probability doesn't change based on previous flips. It will always be 50 50

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Mary is going down a straight waterslide that is 150 feet above the ground. The waterslide is 225 feet long. What is the angle o

xz_007 [3.2K]

Answer:41.81 degrees

Step by step solution: see photo

8 0

3 years ago

Please help with this question!!

xxMikexx [17]

$\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2\\\\l\perp k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\\text{We have the points J(-24, -4) and K(-4, 6)}.\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{substitute:}\\\\m_1=\dfrac{6-(-4)}{-4-(-24)}=\dfrac{10}{20}=\dfrac{1}{2}\\\\\text{therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-2\\\\\text{The formula of a midpoint:}\\\\\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)\\\\\text{substitute the coordinates of the points J and K:}$

$x=\dfrac{-24+(-4)}{2}=\dfrac{-28}{2}=-14\\\\y=\dfrac{-4+6}{2}=\dfrac{2}{2}=1\\\\\text{midpoint}\ (-14,\ 1)\\\\\text{The point-slope form:}\\\\y-y_1=m(x-x_1)\\\\\text{substitute}\ m=-2,\ x_1=-14\ \text{and}\ y_1=1:\\\\y-1=-2(x-(-14))\\\\\boxed{y-1=-2(x+14)}$

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2 years ago

Consider the given function and the given interval. f\(x\) = 2 sin\(x\) - sin\(2 x\) text(, ) [0 text(, ) pi] (a) Find the avera

Finger [1]

a. The average value of $f$ on the given interval is

$\displaystyle f_{\rm ave}=\frac1{\pi-0}\int_0^\pi(2\sin x-\sin2x)\,\mathrm dx=\boxed{\frac4\pi}$

b. Solve for $c$ :

$\dfrac4\pi=2\sin c-\sin2c\implies\boxed{c\approx1.238\text{ or }c\approx2.808}$

4 0

2 years ago

Distribute and combine like terms. Please show all of your work.<br><br> -5(3x + 7) - 4(x - 4) + 11

Varvara68 [4.7K]

For this case we have the following expression:

$-5 (3x + 7) -4 (x-4) +11$

For simplicity we follow the steps:

We apply distributive property to the terms within the parenthesis, bearing in mind that:

$- * + = -\\- * - = +\\-15x-35-4x + 16 + 11 =$

We add similar terms taking into account that equal signs are added and the same sign is placed, while different signs are subtracted and the sign of the major is placed.

$-15x-4x-35 + 16 + 11 =\\-19x-8$

ANswer:

$-19x-8$

5 0

3 years ago

Read 2 more answers

If f(x) = 5x, what is f–1(x)?

Ahat [919]

To get the inverse of a function interchange
the x's with the y'x and solve for y, as follows:
y=5x-7

Interchange to get:
x=5y-7
Solve for y to get:
y=(1/5)x+(7/5)

so I think it might be c

4 0

2 years ago

Read 2 more answers