We are given with two dimensions of a can of paint in which I assume is a cylinder: 14 cm diameter and 16 cm height. In this case, the formula to be used is V = pi*d^2*h/4. substituting the given data above, V = pi*14^2*h/16 equal to 2462 cm^3. units must be consistent throughout to achieve the right answer.
Answer:
-2x² + 90x + 500
Step-by-step explanation:
Use FOIL method
Area of rectangle = length * width
= (50 - x)(2x + 10)
= 50*(2x) + 50*10 + (-x)*2x + (-x)*10
= 100x + 500 - 2x² - 10x
= -2x² + 10<u>0x - 10x </u>+ 500 {Combine like terms}
= -2x² + 90x + 500
Hi again,
We need to find the key on a stem-and-leaf of the number 402 being represented.
<span>40|2 is your best answer
</span>Remember the last digit is the leaf and the rest of the numbers is the stem.
Hope this helped! :)
We need to correctly choose exactly 4 out of the 6 drawn numbers.
Apply hypergeometric distribution:
a=number of correctly chosen numbers = 4
A=number of correct (drawn) numbers = 6
b=number of incorrectly chosen numbers = 2
B=number of undrawn numbers = 44-6 = 38
Then by the hypergeometric distribution
P(a,b,A,B)
=C(A,a)C(B,b)/C(A+B,a+b) [C(n,r)=combination of r objects taken out of n]
=C(6,4)C(38,2)/C(44,6)
=15*703/7059052
= 10545/7059052
= 0.001494 (to the nearest millionth)
Answer: probability of winning third prize is 10545/7059052=0.001494
