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ale4655 [162]
3 years ago
12

Question 4 of 10

Mathematics
1 answer:
Rus_ich [418]3 years ago
7 0

Answer:

LA = 2πrh

Step-by-step explanation:

The lateral surface area is the area of all the sides of a 3-dimensional object excluding its base and top.

The lateral area of a cylinder is the area of its surfaces excluding the area of its base and top

LA = 2πrh

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What is the cubed root of 27?
lianna [129]

Answer:

Then answer is 3

Step-by-step explanation:

cube root = ³√27

3×3×3 = 3³ = 27

6 0
3 years ago
Read 2 more answers
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
3 years ago
Make x the subject of the formula 6x+a=5
Tatiana [17]
You would -a to get 6x=5-a then divide by 6 which you would get your final answer which is x=5-a/6
7 0
2 years ago
Ali runs five days a week at the local park's nature trail. The circular trail is 440 yards long. Each day that Ali runs, she ru
SpyIntel [72]

Answer:

15 miles

Step-by-step explanation:

12 * 440 = 5280 (yards every day)

5280 * 5 = 26400 (yards per week)

26400 *0.000568182 = 15 miles

8 0
3 years ago
Sor-rey for posting again,I messed up on my last one...anyway,100 points and Brainlest! Please help ASAP!
Triss [41]

The answer of 4(2x^3 y^4 )^4/2(2x^2 y^6 )^3  after simplification will be

4 x^{6}  y^{-2}

Step-by-step explanation:

To simplify

\frac{4(2x^3 y^4 )^4}{2(2x^2 y^6 )^3} .

Using exponential law the exponents of variables will be added when multiplied as per rule

we get

\frac{4[(2^4)(x^{3\times 4}) ( y^{4\times4} )] }{2[(2^3)(x^{2\times3} ) (y^{6\times3} )]}\\

\frac{4[(16)(x^{12}) ( y^{16} )] }{2[(8)(x^{6} ) (y^{18} )]}\\\\\frac{64x^{12}y^{16}  }{16 x^{6}y^{18}  }

Now by dividing according to exponential rule the exponents of variables will be subtracted as per rule

(\frac{64}{16} ) x^{12-6}  y^{16-18} \\4 x^{6} y^{-2}

So the answer of 4(2x^3 y^4 )^4/2(2x^2 y^6 )^3  after simplification will be

4 x^{6}  y^{-2}

Keywords: Algebra

Learn more about algebra at:

  • brainly.com/question/3739260
  • brainly.com/question/13168205
  • brainly.com/question/9607945

#learnwithBrainly

6 0
3 years ago
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