Answer:
D
Step-by-step explanation:
temp = -3(hours)
-33=-3(hours)
hours=11
9514 1404 393
Answer:
6 : 4
Step-by-step explanation:
The product of the ratio values is 3×2 = 6. This means the two numbers will have a GCF of 12/6 = 2. So, the two numbers are ...
3×2 : 2×2 = 6 : 4
_____
I think of GCF and LCM problems in terms of a "diagram" that looks like this:
(a [ b ) c ]
That is, the two numbers can be written in a form such that one is (a·b), the other is [b·c], their greatest common factor is b, and their least common multiple is a·b·c.
The ratio of the two numbers would be a : c. The product ac differs from the LCM by a factor of b, the GCF. Of course, b = abc/(ac), which is how we got the above answer.
Answer:
B
Step-by-step explanation:
Answer: The value of m is 29.
Step-by-step explanation:
Given that, One term of 
is 
...(i)
We know that that (r+1)th term in 
is given by :-
...(ii)
On comparing (i) with (ii) , we get
i.e.
Hence, the value of m is 29.
Using the binomial distribution, it is found that the expected values are given by:
a) 120.
b) 150.
<h3>What is the binomial probability distribution?</h3>
It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.
Item a:
4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.
The expected value is given by:
E(X) = 180 x 2/3 = 120.
Item b:
5 of the 6 values are less than 6, hence p = 5/6.
The expected value is given by:
E(X) = 180 x 5/6 = 150.
More can be learned about the binomial distribution at brainly.com/question/24863377
