Answer: The lowest common multiple of 12, 18, and 56 would be 504. Why? Well, see below for an explanation!
Step-by-step explanation: What is the lcm? Well, the lcm of two or more numbers is the lowest possible number that each number has in common as a multiple. Because we are dealing with large numbers, we can tell that the lcm will be a multiple of these numbers times at least 5. I multiplied all the numbers by 10, and it was too large and did not work. However, I backed up and tried 9.
56 x 9 = 504.
Why is this acceptable? Well, this is acceptable because I found that 504 can be divided by 12 and 18 both to get a whole number.
504 divided by 18 equals 28.
504 divided by 12 equals 42.
Using this principle, we will find that 504 is the lowest number that 12, 18, and 56 have in common.
Your final answer: 504 is the lowest common denominator. If you need extra help, let me know and I will gladly assist you.
Surface of the cylinder : 2*(pi*radius^2)+(2*pi*radius*height)=2(pi*1.5^2)+(2*pi*1.5*9)=31.5pi cm^2 ~99 cm^2
Volume : pi*radius^2*height=pi*1.5^2*9=20.25pi~64 cm^3
Answer:
Yes, Tom must be admitted to this university.
Step-by-step explanation:
We are given that the scores on national test are normally distributed with a mean of 500 and a standard deviation of 100.
Also, we are provided with the condition that Tom wants to be admitted to this university and he knows that he must score better than at least 70% of the students who took the test.
Let, X = score in national test, so X ~ N(
)
The standard normal z distribution is given by;
Z = 
~ N(0,1)
Now, z score of probability that tom scores 585 is;
Z = 
= 0.85
Now, proportion of students scoring below 85% marks is given by;
P(Z < 0.85) = 0.80234
This shows that Tom scored 80.23% of the students who took test while he just have to score more than 70%.
So, it means that Tom must be admitted to this university.
Answer:
This is the sample answer:
The new histogram shows that 7 trucks have a fuel efficiency of 10 to 14 miles per gallon. It’s also possible to see that the shape of the data is skewed right.
Step-by-step explanation:
8.517 is in number (numerical) form. 8.517 written in word form is like:-
eight and five hundred seventeen thousandths
8.517 in expanded form can be written like this:-
8 + .5 + .01 + .007 = 8.517
So, 8.517 written in word form is eight and eight and five hundred seventeen thousandths
Hope I helped ya!!
