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2 years ago

David wants to purchase a new fish tank. His current tank is 36 in. long, 12 in. wide, and 18 in. high. His new tank

Mathematics

1 answer:

Serhud [2]2 years ago

3 0

Answer:

It should be 14400 square inches. Sorry if i'm wrong

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Find the probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if:a) a

lara31 [8.8K]

Answer:

A) 0.0009765625

B) 0.0060466176

C) 2.7756 x 10^(-17)

Step-by-step explanation:

A) This problem follows a binomial distribution. The number of successes among a fixed number of trials is; n = 10

If a 0 bit and 1 bit are equally likely, then the probability to select in 1 bit is; p = 1/2 = 0.5

Now the definition of binomial probability is given by;

P(K = x) = C(n, k)•p^(k)•(1 - p)^(n - k)

Now, we want the definition of this probability at k = 10.

Thus;

P(x = 10) = C(10,10)•0.5^(10)•(1 - 0.5)^(10 - 10)

P(x = 10) = 0.0009765625

B) here we are given that p = 0.6 while n remains 10 and k = 10

Thus;

P(x = 10) = C(10,10)•0.6^(10)•(1 - 0.6)^(10 - 10)

P(x=10) = 0.0060466176

C) we are given that;

P((x_i) = 1) = 1/(2^(i))

Where i = 1,2,3.....,n

Now, the probability for the different bits is independent, so we can use multiplication rule for independent events which gives;

P(x = 10) = P((x_1) = 1)•P((x_2) = 1)•P((x_3) = 1)••P((x_4) = 1)•P((x_5) = 1)•P((x_6) = 1)•P((x_7) = 1)•P((x_8) = 1)•P((x_9) = 1)•P((x_10) = 1)

This gives;

P(x = 10) = [1/(2^(1))]•[1/(2^(2))]•[1/(2^(3))]•[1/(2^(4))]....•[1/(2^(10))]

This gives;

P(x = 10) = [1/(2^(55))]

P(x = 10) = 2.7756 x 10^(-17)

3 0

2 years ago

Can somebody please help me!!

xxMikexx [17]

So to solve for x, you'll need to combine all the angles and equal it to 720, and from there we can solve.

$120+100+120+x+10+120+x=720$

Combine like terms to get $2x+470=720$

Subtract 470 on each side to get $2x=250$

Then just divide on each side and you'll get $x=125$

To find the value of the (x+10) angle, just substitute 125 for x and solve.

$125+10=135$

4 0

3 years ago

Read 2 more answers

*order of operation<br> 296-(65•2-32/4

gulaghasi [49]

Answer:

174

Step-by-step explanation:

start with the numbers inside the parenthesis! next, multiply (65 x 2) = 130, then divide (32/4) = 8. then, subtract 130-8 to get 127. now move outside the parenthesis and subtract 296-127 = 174!

7 0

2 years ago

While shopping, janet bought a shirt for $8, a pair of jeans for $22, mittens for $5, and a hat for $10. how much money did jane

Talja [164]

Janet spent $45 in all

5 0

3 years ago

5x + 2y = -10<br> 3x + y = 66<br><br> please show work

liq [111]

Answer:

x=142, y=-360. (142, -360).

Step-by-step explanation:

5x+2y=-10

3x+y=66

----------------

5x+2y=-10

-2(3x+y)=-2*66

-----------------------

5x+2y=-10

-6x-2y=-132

-------------------

-x=-142

x=142

3(142)+y=66

426+y=66

y=66-426

y=-360

8 0

2 years ago

Read 2 more answers