6xy² = 1,2,3,6 ,x, y
common factor =1.2
greatesst common factor = 2
Step-by-step explanation:the answer is 2
The reason for the option chosen is because the coefficient is closer to 1 which is the standard for correlation and also, the answer is rounded off to three decimal places as requested in the question.
Option D is correct.
Randomly generate an integer from 1 to 7 two times, and the probability is (1/7) ^2
The probability of having birthday on a particular day of a week for anyone is 1/7. That is, 1 day out of the 7 days in a week.
Then for another person to have birthday on that same day is mathematically given as
(1/7) × (1/7) = (1/7)²
And this corresponds to option D. Therefore option D is the statement that best describes the use of a simulation to predict the probability that two randomly chosen people will both have their birthdays on a Monday.
Hope this helps!
The experimental probability can be defined as the ratio of the number of times any particular event has occurred to the total number of times that event has taken place.
Experimental probability = P = No. of event occurrences / total number of occurrences.
In our question statement,
No of naturally occurring triplets are = 3375
Total number of births = 5 million = 5,000,000
Putting values in equation.
You just divide by 3,375/500,000 and get 6,75
There are first 20 positive integers 1,2...20. Three distinct integers are chosen at random.
Total no of ways of drawing 3 integers =
To Compute the probability that: (a) their sum is even
a) Sum can be even if either all 3 are even or 1 is even and 2 are odd.
There are in total 10 odd and 10 even.
Ways of sum even =
b) their product is even
Here any one should be even or both
SO no of ways are
S is the sample standard deviation, it is calculated when the observations represent a sample of the population. sigma is the population standard deviation, it is calculated when de observations are the whole population.
a) Quantitative; discrete
c) Quantitative; continuous
Quantitative and Qualitative:
Discrete and Continuous:
a. Points scored in a football game.
Since the points are expressed in numerical. Thus, they are quantitative variable. Since points are always expressed in whole numbers and are always counted it is a discrete variable.
b. Racial composition of a high school classroom
This will include the categorical values and not expressed as numerical. Thus, it is qualitative variable.
c. Heights of 15-year-olds.
These values will be expressed with the help of numerical and can take any value within an interval. Also, height is always measured and not counted. Thus it is a continuous variable.
Answer: he must work for at least 26.32 hours
Let x represent the number of hours that Hayden works as a life guard.
Hayden earns $9.50 per hour as a lifeguard. This means that the amount that he earns for working for x hours would be
He earns a bonus of $50.00 for taking a training course. If he takes this bonus cost, the amount that he would earn for working for x hours is
9.5x + 50
Therefore, the number of hours that he must work to earn at least $300.00 would be
9.5x + 50 ≥ 300
9.5x ≥ 300 - 50
9.5x ≥ 250
x ≥ 250/9.5
x ≥ 26.32
Its 27 even tho it goes to 26.32 rounded it to 27
Key to this method is remembering that
So, if you divide the coefficient of x by 2 and square it, that will complete the square. With that in mind, things are easy.
6/2 = 3, so add
Similarly, for the other two,
You don't really have to worry about the sign, since squaring will always make it positive