Step-by-step explanation:
The statement in the above question is True.
Sum of three prime numbers (other than two) is always odd.
Going by Christian Goldbach number theory ,
- Goldbach stated that every odd whole number greater than 5 can be written as sum of three prime numbers .
Lets take an example,
- 3 + 3 + 5 = 11
- 3 + 5 + 5 = 13
- 5 + 5 + 7 = 17
Later on in 2013 the Mathematician <u>Harald Helfgott</u> proved this theory true for all odd numbers greater than five.
The correct answer is 64 square units.
The area of the complete shape would be 100 square inches.
10 x 10 = 100
However, we have to remove the 4 corners. Each of the corners is 9 square inches. 3 x 3 = 9
100 - 4(9) = 64
We have that
the Volume of cone=(1/3)*B*h
B=the area of the base
h= the height of the cone
D=3.5 in-----------------> r=D/2=1.75 in
h=5 in
B=pi*r²---------> 3.14*1.75²=9.616 in²
V=(1/3)*9.616*5=48.08 in³--------> 48 in³
the answer is 48 in³
Answer:

Step-by-step explanation:
Given that a medical study investigated the effect of calcium and vitamin supplements on the risk of older Americans for broken bones. A total of 389 older Americans who lived at home and were in good health were studied over a three-year period. While all of the 389 people took in at least 700 milligrams of calcium and 200 units of vitamin D through their normal diet, 187 of them were given additional supplements containing 500 milligrams of calcium citrate and 70 units of vitamin D daily. Of the 187 who took additional supplements, 11 of them suffered broken bones over the three-year period. Of the 202 older Americans who did not take the additional supplement, 26 of them suffered broken bones over the study period.
Group I Group II Total
n 187 202 389
favour x 11 26 37
The fraction of older Americans who were included in the study suffered broken bones during the three-year period
=Total x/total n
= 