Answer:
The common factor is 5x.
The factored polynomial is:
Step-by-step explanation:
Factor of the numbers:
The common factor of the numbers 5, 30 and 10 is 5, as it is the greater common divisor of them, as found below:
5 - 30 - 10|5
1 - 6 - 2
Factor of the exponents:
Between and
, the common factor is the x with the lowest exponent. So x
Common factor
Number multiplied by exponents, so 5x.
Factoring the polynomial:
The factored polynomial is:
Using the hypergeometric distribution, it is found that there is a 0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.
In this problem, the bulbs are chosen without replacement, hence the <em>hypergeometric distribution</em> is used to solve this question.
<h3>What is the hypergeometric distribution formula?</h3>The formula is:
The parameters are:
In this problem:
The third defective bulb is the fifth bulb if:
Hence:
0.2182 x 1/8 = 0.0273.
0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.
More can be learned about the hypergeometric distribution at brainly.com/question/24826394
Answer:
5
Step-by-step explanation:
Square Root - Finding a number that multiplies itself twice into the number within the square root
With this meaning, we need to find a number that multiplies itself into 625.
Finding calculations using exponents will help,
25^2 is equal to 625. Therefore
We are not finished, as there is another square root right after, empowering the parenthesis, so what number multiplies itself equals 25?
This would be 5, therefore is equal to 5.