Answer:
More than 50
Step-by-step explanation:
To solve, we need to first see that the function is h(n). Picking main points from the question statement:
- h(n) is the product of all even integers (From 2 to n)
- p is the smallest factor of h(100)+1
- h(100)+1 , here n=100
From here, we can write h(100) as:
h(100) = 
h(100) = 
= 
so,
h(100)+1 =
Now two numbers,
h(100) and h(100)+1 are consecutive integers and since they are consecutive so they are co-prime. Hence they only have common factor of 1. Example, 13 and 14 have only common factor of 1
As h(100) has all prime numbers from 1 to 50 and according to above statement h(100)+1 won't have any prime factor from 1 to 50, so the smallest prime factor p is greater than 50.
Ex.
This would be
How?
Group them
Make sure there is a GCF.
Hope this was clear
Answer:
there isn't any choices but 6/12+1/12=7/12
or 4/12+3/12=7/12
hope this helps
have a good day :)
Step-by-step explanation:
The volume of a cone whose radius is 3 1 / 2 cm and vertical height is 24 cm is 307.72 cm³
<h3>Volume of a cone</h3>
The volume of a cone can be represented as follows:
volume = 1 / 3 πr²h
where
Therefore,
r = 3 1 / 2 cm = 7 / 2 cm
h = 24 cm
Hence,
volume = 1 / 3 × π × (7 / 2 )² × 24
volume of a cone = 1 / 3 × π × 49 / 4 × 24
volume of the cone = 1 / 3 × π × 1176 / 4
volume of the cone = 1176 / 12 π
volume of the cone = 98π
volume of the cone = 307.72 cm³
learn more on volume here: brainly.com/question/20380818
#SPJ1
Answer:
175
Step-by-step explanation:
The sample size n in<em> Simple Random Sampling</em> is given by
<em>
where z = 1.96 is the z-score associated with a 95% confidence level ans s the standard deviation.
</em>
Replacing values
So, there should be 175 chief executive officers in a sample if we want to estimate the population mean annual salary plus bonus with a margin of error of $100,000
