How many meters does 2 centimeters represent

A drug company conducts trials of a new vaccine for a rare but usually fatal disease. The company creates a

GalinKa [24]

Answer:

What can be said about the model are;

1) The company predicts 4 failures before success

2) Each trial is independent

3) The probability is the same for each trial

4) Success is defined as preventing the disease

Step-by-step explanation:

The probability of success for the vaccine, p = 0.2

Therefore, the probability that the vaccine is effective and prevents the disease = 0.2

A geometric distribution probability of success is given by the following formula;

P(X = x) = p × q⁽ˣ⁻¹⁾

The expected value, E(Y) = 1/p

The number of failures before success, E(Y) = (1 - p)/p = (1 - 0.2)/0.2 = 4

Where;

q = The probability of a trial failing = 1 - p = 1 - 0.2 = 0.8

q = 1 - p

∴ The e

The geometric model criteria are;

a) Each trial can only have one of two outcomes success or failure

b) The probability of success for each trial is fixed

c) The geometric distribution is concerned with finding how many trials are required to get one success

d) The trials are independent

Therefore, we have;

The number of failures the company predicts before a success = 4 failures

2) The trials are independent

3) Each trial has an equal probability

4) Success is defined by the effectiveness of the vaccine in the prevention of the disease

4 0

2 years ago

use green's theorem to evaluate the line integral along the given positively oriented curve. c 9y3 dx − 9x3 dy, c is the circle

Rina8888 [55]

The line integral along the given positively oriented curve is -216π. Using green's theorem, the required value is calculated.

<h3>What is green's theorem?</h3>

The theorem states that,

$\int_CPdx+Qdy = \int\int_D(\frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y})dx dy$

Where C is the curve.

<h3>Calculation:</h3>

The given line integral is

$\int_C9y^3dx-9x^3dy$

Where curve C is a circle x² + y² = 4;

Applying green's theorem,

P = 9y³; Q = -9x³

Then,

$\frac{\partial P}{\partial y} = \frac{\partial 9y^3}{\partial y} = 27y^2$

$\frac{\partial Q}{\partial x} = \frac{\partial -9x^3}{\partial x} = 27x^2$

$\int_C9y^3dx-9x^3dy = \int\int_D(-27x^2 - 27y^2)dx dy$

⇒ $-27\int\int_D(x^2 + y^2)dx dy$

Since it is given that the curve is a circle i.e., x² + y² = 2², then changing the limits as

0 ≤ r ≤ 2; and 0 ≤ θ ≤ 2π

Then the integral becomes

$-27\int\limits^{2\pi}_0\int\limits^2_0r^2. r dr d\theta$

⇒ $-27\int\limits^{2\pi}_0\int\limits^2_0 r^3dr d\theta$

⇒ $-27\int\limits^{2\pi}_0 (r^4/4)|_0^2 d\theta$

⇒ $-27\int\limits^{2\pi}_0 (16/4) d\theta$

⇒ $-108\int\limits^{2\pi}_0 d\theta$

⇒ $-108[2\pi - 0]$

⇒ -216π

Therefore, the required value is -216π.

Learn more about green's theorem here:

brainly.com/question/23265902

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3 0

1 year ago

please help in the bleachers at the basketball game, 1/4 of the fans are adult men, and 5/12 are adult women. What fraction of t

Wewaii [24]

If you change 1/4 so that the denominators of both fractions are the same by mutiplying 4x3 for the bottom and 3x1 for the top and then add 5/12 and 3/12 to get 8/12 and then for it to be a whole number, you need 4/12 to complete the whole which is the fraction of children at the bleachers at the basketball game (4/12) .

5 0

3 years ago

If f(x)=3x +10, g(3)=9 and f(-2)=g(-2) find the equation of the linear function g(x)

Agata [3.3K]

Answer:

The equation of the linear function g(x) is

g(x) = x + 6

Step-by-step explanation:

The step by step explanation is attached here.

Download rtf

5 0

3 years ago

Andrew participated in a bicycle race. The total distance covered was 56

Inessa05 [86]

(B) 4 hr is the correct answer.

<h3><u>Explanation</u> :</h3>

★ Speed of body is defined as the ratio of distance travelled to the time taken $.$

speed = distance/time

Given that,

distance = 56 miles

speed = 14 miles per hour

<u>By</u><u> </u><u>subs</u><u>tituting</u><u> </u><u>the</u><u> </u><u>values</u><u>,</u><u> </u><u>we</u><u> </u><u>get</u>

⭆ time = distance/speed

⭆ time = 56/14

⭆ <u>time = 4 hr</u>

<h3>Hope It Helps!</h3>

8 0

3 years ago