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Find the volume of a cylinder that has a diameter of 12 in. and a height of 15 in

daser333 [38]

Answer:

<h3> $\sf{ \boxed{ \bold{1697.14}}}$ </h3>

Step-by-step explanation:

Given,

diameter ( d ) = 12 in

height ( h ) = 15 in

finding the radius of a cylinder

Radius is just half of diameter.

Radius ( r ) = 12 / 2 = 6 in

finding the volume of a cylinder having radius of 6 in and height of 15 in

Volume of a cylinder =  $\sf{\pi \: {r}^{2} h}$ 

⇒ $\sf{ \frac{22}{7} \times {6}^{2} \times 15}$

⇒ $\sf{ \frac{22}{7} \times 36 \times 15}$

⇒ $\sf{1697.14} \: in$ 

Hope I helped!

Best regards!!

6 0

4 years ago

Read 2 more answers

Figure out this number pattern: 1,5,14,30,55

Amanda [17]

5 - 1 = 4 = 2^2

14 - 5 = 9 = 3^2

30 - 14 = 16 = 4^2

55 - 30 = 25 = 5^2

Start with 1, then add 2^2, 3^3, 4^2, 5^2, 6^2, etc.

5 0

4 years ago

Bit transmission errors between computers sometimes occur, where one computer sends a 0 but the other computer receives a 1 (or

lana66690 [7]

Answer:

(a) Probability that a triplet is decoded incorrectly by the receiving computer. = 0.010

(b)

(1 – p) = 0.010

(c)

E(x) = 25000 x 0.010

= 259.2

Explanation has given below.

Step-by-step explanation:

Solution:

(a) Probability that a triplet is decoded.

2 out of three

P = 0.94, n = 3

m= no of correct bits

m bit (3, 0.94)

At p(m≤1) = B (1; 3, 0.94)

= 0.010

(b) Using your answer to part (a),

(1 – p) = 0.010

Error for 1 bit transmission error.

(c) How does your answer to part (a) change if each bit is repeated five times (instead of three?

P( m ≤ 2 )

L = Bit (5, 0.94)

= B (2; 5, 0.94)

= 0.002

(d) Imagine a 25 kilobit message (i.e., one requiring 25,000 bits to send). What is the expected number of errors if there is no bit repetition implemented? If each bit is repeated three times?

Given:

h = 25000

Bits are switched during transmission between two computers = 6% = 0.06

m = Bit (25000, 0.06)

E(m) = np

= 25000 x 0.06

= 1500

m = Bit (25000, 0.01)

E(m) = 25000 x 0.010

= 259.2

3 0

3 years ago

Cos (90 - x) = -0.2. What is sin(x)?

Aloiza [94]

Answer:

-0.2

Step-by-step explanation:

Sine and cosine are co-functions.

That means, cos(90-x)=sin(x) or sin(90-x)=cos(x).

So here since cos(90-x)=-0.2, then sin(x)=-0.2.

4 0

3 years ago

Read 2 more answers

Suppose the lifetime, in years, of a motherboard is modeled by a Gamma distribution with parameters α=80 and λ=4. Use the Centra

timurjin [86]

Answer:

Therefore there's a 99.99% probability the motherboard of your new computer will last for at least 15 years.

Step-by-step explanation:

This is the general idea to solve the problem.

Suppose that the mean and variance of the your distribution are . $\mu , \sigma$ respectively. Then, according to the problem you are looking for the probability.

$P(X \geq 15) = 1 - P(X$

Consider then the following random variable.

$T = X_1 + X_2 + .... + X_{14}$

Using the central limit theorem $T$ distribution will be close to normal, and its mean and variance will be $14\mu , 14\sigma$ , respectively. Therefore you just have to find the probability that a normally distributed random variable with that mean and that variance which I just mentioned is less than 14.