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Brrunno [24]
3 years ago
8

Simplify the following and write your answer in simplest form

Mathematics
1 answer:
viktelen [127]3 years ago
5 0
In simplest form it is 25 over 9
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Light bulbs manufactured at a certain factory have a 3% probability of being defective. what is the probability that 5 out of a
lbvjy [14]

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability that 5 out of a shipment of 30 will be defective is 0.001617.

<h3>What is Binomial distribution?</h3>

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

The probability of the bulb being defective is 3%(0.03) and the probability of the bulb not being defective is 97%(0.97).

Now, it is needed to be found that the probability that 5 out of a shipment of 30 will be defective can be written as,

P(x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

P(x=5) = ³⁰C₅ (0.03)⁵ (0.97)²⁵

P(x=5) = 0.001617

Hence, the probability that 5 out of a shipment of 30 will be defective is 0.001617.

Learn more about Binomial Distribution:

brainly.com/question/14565246

#SPJ2

3 0
2 years ago
Which of the equations below represents
Ray Of Light [21]

The equation that represents the graph of the ellipse is x² / 4 + y² / 100 = 1. (Correct choice: D)

<h3>What is the equation of the ellipse represented in the graph?</h3>

Herein we have a representation of an ellipse in the image attached aside, ellipses are characterized by the following <em>standard</em> formula:

(x - h)² / a² + (y - k)² / b² = 1     (1)

Where:

  • (h, k) - Coordinates of the center
  • a, b - Lengths of the semiaxes

Please notice that ellipse will be vertical if b > a, otherwise it will be horizontal. The graph exhibits a <em>vertical</em> ellipse centered at the origin and therefore we conclude that (h, k) = (0, 0) and b > a (b = 10, a = 2). Finally, the equation that represents the graph of the ellipse is x² / 4 + y² / 100 = 1. (Correct choice: D)

To learn more on ellipses: brainly.com/question/14281133

#SPJ1

7 0
1 year ago
Need help ASAP!!! HAVE QUIZ TOMORROW
Serjik [45]
To solve these problems, you usually have a favor the numerator. For example, on #7, label your terms, 1 from m^2 is A, -6m from -6 is B and your constant, 8, is C. Next you have to find out what two numbers can be multiplied to give you for C term but can also add together to give you your B term. For this specific problem, -4 and -2 gives you 8 and also adds to be -6. After that, you put your -4 and -2 into their own separate parentheses along with the M from M^2. It should look this like: (m-4)(m-2)/(m-2). Now you notice that the binomial on the bottom and one of the binomials on top is the exact same, so you would cancel that out and your answer would be (m-4).
6 0
3 years ago
The positive square root of 38 is between?
Oksanka [162]
It's between 6 and 7.
4 0
3 years ago
If the total labor cost is $865,000 and 12 percent is for concession staff, how much of the labor cost is for concession staff?
stepladder [879]
12% of $865,000 is $103,800
4 0
3 years ago
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