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andriy [413]
3 years ago
12

Write an iterated integral for ModifyingBelow Integral from nothing to nothing Integral from nothing to nothing Integral from no

thing to nothing With Upper D f (x comma y comma z )dV where D is a sphere of radius 9 centered at​ (0,0,0). Use the order dy dz dx .
Mathematics
1 answer:
coldgirl [10]3 years ago
8 0

With the given order of integration, the interval over D is

\displaystyle \iiint_D f(x,y,z) \, dV = \int_{-3}^{3} \int_{-\sqrt{9-x^2}}^{\sqrt{9-x^2}} \int_{-\sqrt{9-x^2-z^2}}^{\sqrt{9-x^2-z^2}} f(x,y,z) \, dy \, dz \, dx

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The probability of getting a head when a biased coin is tossed is . The coin is tossed three times. Find the following probabili
S_A_V [24]

Answer:

a) P(three tails) = \frac{1}{8}

b) P(two tails followed by one head) = \frac{1}{8}

Step-by-step explanation:

coin is tossed three times so, outcome is

HHH, TTT, HTH, THH, HHT, THT, TTH, HTT.

Hence sample space will be

S = {HHH, TTT, HTH, THH, HHT, THT, TTH, HTT}

chance of getting three tails is '1' i.e. TTT

hence,

P(three tails) = \frac{1}{8}

two tails followed by one head is TTH

so, chance of getting that outcome is also '1'

hence,

P(two tails followed by one head) = \frac{1}{8}

6 0
3 years ago
Can you help me with this?​
DochEvi [55]

Answer:

I need some more context

Step-by-step explanation:

5 0
3 years ago
PLSS HELP!! VERY EASY.
gogolik [260]

Answer:

35 ways

Step-by-step explanation:

Alex has 9 friends and wants to invite 5 friends. Since Alex requires two of his friends who are twins to come together to his birthday party, since the two of them form a group, the number of ways we can select the two of them to form a group of two is ²C₂ = 1 way.

Since we have removed two out of the nine friends, we are left with 7 friends. Also, two friends are already selected, so we are left with space for 3 friends. So, the number of ways we can select a group of 3 friends out of 7 is ⁷C₃ = 7 × 6 × 5/3! = 35 ways.

So, the total number ways we can select 5 friend out of 9 to  party come to the birthday include two friends is  ²C₂ × ⁷C₃ = 1 × 35 = 35 ways

3 0
3 years ago
Please help me with this math homework thanks :)
Ivenika [448]

Place a point at (0,-5) because that is the y-intercept (the -5 on the vertical line)

Since the slope is negative two which can be re-written as -2/1 (rise/run) you go down two and to the right once or up two and to the left once, it doesn't matter which. Another point can be placed at (1,-7) or (-3,-1), it still doesn't matter which.

Then you can draw a line connecting the two points.

I hope this helps :)

Let me know if you need further explanation

3 0
3 years ago
The equation x2 - 9 = 0 has<br> real solution(s).<br> DONE
Andru [333]

Answer:

{-3, 3}

Step-by-step explanation:

x^2 - 9 = 0 can be written in factored form as (x -3)(x + 3) = 0.  Letting each factor equal zero separately and solving for x, we get x:  {-3, 3}

5 0
3 years ago
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