Answer:
360 is the LCM of 4,6,10 and 12
Answer:
There are 616 total students
Step-by-step explanation:
boys : girls: total
5 3 5+3 = 8
There are 385 boys
385/5 = 77
Multiply each term by 77
boys : girls: total
5*77 3*77 8*77
385 539 616
There are 616 total students
Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the <em>binomial distribution</em> is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- There are 9 rolls, hence
.
- Of the six sides, 2 are 3 or 4, hence

The desired probability is:

In which:

Then



Then:


0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For more on the binomial distribution, you can check brainly.com/question/24863377
Answer:
The slope of the line given by the equation -3x=30-5y is
.
Step-by-step explanation:
-3x=30-5y
Move the -3x to the right side of the equal sign and the -5y to the left.
5y=30+3x
By switching them to opposite sides, their sign changes from - to +.
Then, divide both sides by 5 in order to isolate the y.

You get:
<em>y= </em>
<em />
According to y=mx+b, mx refers to the slope.
In this case, the slope would be
.
Answer:
Just try to make it make sense to you.
Step-by-step explanation:
For instance, a + 1 = 5
a = 4
We know that we should switch the terms as when it comes to normal numbers ,10 + 1 = 11 , 10 = 11-1. Therefore, the only trick is not to memorise, but try to understand the logic behind it. Hope this helps in some way???