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Ganezh [65]
3 years ago
9

If you flip a fair coin 7 times, what is the probability that you will get exactly 4 tails?

Mathematics
2 answers:
aleksklad [387]3 years ago
3 0

Answer:50%

Step-by-step explanation:

kobusy [5.1K]3 years ago
3 0

Answer:

35/128

Step-by-step explanation:

khan

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Evaluate the spherical coordinate integral
expeople1 [14]

Rewrite the equations of the given boundary lines:

<em>y</em> = -<em>x</em> + 1  ==>  <em>x</em> + <em>y</em> = 1

<em>y</em> = -<em>x</em> + 4  ==>  <em>x</em> + <em>y</em> = 4

<em>y</em> = 2<em>x</em> + 2  ==>  -2<em>x</em> + <em>y</em> = 2

<em>y</em> = 2<em>x</em> + 5  ==>  -2<em>x</em> + <em>y</em> = 5

This tells us the parallelogram in the <em>x</em>-<em>y</em> plane corresponds to the rectangle in the <em>u</em>-<em>v</em> plane with 1 ≤ <em>u</em> ≤ 4 and 2 ≤ <em>v</em> ≤ 5.

Compute the Jacobian determinant for this change of coordinates:

J=\begin{bmatrix}\frac{\partial u}{\partial x}&\frac{\partial u}{\partial y}\\\frac{\partial v}{\partial x}&\frac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&1\\-2&1\end{bmatrix}\implies|\det J|=3

Rewrite the integrand:

-3x+4y=-3\cdot\dfrac{u-v}3+4\cdot\dfrac{2u+v}3=\dfrac{5u+7v}3

The integral is then

\displaystyle\iint_R(-3x+4y)\,\mathrm dx\,\mathrm dy=3\iint_{R'}\frac{5u+7v}3\,\mathrm du\,\mathrm dv=\int_2^5\int_1^45u+7v\,\mathrm du\,\mathrm dv=\boxed{333}

5 0
3 years ago
So I really don't understand what​ I'm doing....I would be glad if you helped
SSSSS [86.1K]
We are supposed to assume FC and AD is straight line
let's find all the angles


you already see the right angle is 90 degrees, you got that right
striaght line is 180 degrees

90+46+EF=180
136+EF=180
minus 136 both sides
EF=44
now we got another straight line
you did get that A F=46 because it is oposite

notice: AB=BC because same angle designition
so now we use
180+46+2AB=360
2AB=134
divide 2
AB=67=BC
AC=134 degrees
CAE=134+46+44=224
ABD=180 since straight line



a. 90
b. 224
c.134
d. 180
8 0
3 years ago
PLEASE HELP! i have by the end of the day to turn this in. PLEASE DONT GUESS
ivann1987 [24]

Answer: See step by step

Step-by-step explanation: Angle 2 and 3 are vertical angles since they both share a vertex and has cross intersecting lines. Angle  6 and 7 are supplementary angles because they forma linear pair.

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divide one hundred thirty five but the total of five hundred and move the decimal back two places
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