Answer: -0.4
Step-by-step explanation:
Well if three of them end up with the same lunch box and there are only 4 total lunch boxes, then that means all of them would get their original lunchbox.
For that to happen there is a 1/4 chance for each person to correctly pick their lunchboxes.
So it’s 1/4*1/4*1/4*1/4 and that equals to 1/256.
So there is a 1/256 chance that they will end up with their original lunch box.
Hope this helps!
2.64 i believe if it’s wrong let me know
Answer:
Step-by-step explanation:
Using the exact values of the given trig functions, then
sin45° × sin30° × cos60°
= 
× 
× =
Answer: 120[4(x^6 + x^3 + x^4 + x) +7(x^7 + x^4 + x^5 + x^2)]
Step-by-step explanation:
=24x(x^2 + 1)4(x^3 + 1)5 + 42x^2(x^2 + 1)5(x^3 + 1)4
Remove the brackets first
=[(24x^3 +24x)(4x^3 + 4)]5 + [(42x^4 +42x^2)(5x^3 + 5)4]
=[(96x^6 + 96x^3 +96x^4 + 96x)5] + [(210x^7 + 210x^4 + 210x^5 + 210x^2)4]
=(480x^6 + 480x^3 + 480x^4 + 480x) + (840x^7 + 840x^4 + 840x^5 + 840x^2)
Then the common:
=[480(x^6 + x^3 + x^4 + x) + 840(x^7 + x^4 + x^5 + x^2)]
=120[4(x^6 + x^3 + x^4 + x) +7(x^7 + x^4 + x^5 + x^2)]
