Answer:
0.00014
Step-by-step explanation:
The box contains a total of 24 + 33 + 35 = 92 jelly beans
If we need to pick 8 jelly beans and want them all to be green:
We can choose 8 green jelly beans from 33 green in C₃₃,₈ different ways
The total ways we can choose 8 jelly beans out from 92 is: C₉₂,₈
Thus, the probability we're looking for is C₃₃,₈ / C₉₂,₈ = 13884156/93080887185 =0.00014
Answer: 6 years
Step-by-step explanation:
Formula to calculate compound amount:
, where P= Principal , r=rate of interest, t= time
Given: P = £400, r = 3% = 0.03 , A= 475
Required equation: 

Taking log on both sides , we get

Hence, he needs to invest the money for 6 years to get atleast £475.
Answer:
see explanation
Step-by-step explanation:
Given a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
Then the discriminant Δ = b² - 4ac informs us about the nature of the zeros
• If b² - 4ac > 0 then 2 real and irrational zeros
• If b² - 4ac > 0 and a perfect square then 2 real and rational zeros
• If b² - 4ac = 0 then 2 real and equal zeros
• b² - 4ac < 0 then zeros are not real
Given
f(x) = 3(x - 4)² - 12 ← expand factor using FOIL
= 3(x² - 8x + 16) - 12 ← distribute parenthesis by 3
= 3x² - 24x + 48 - 12
= 3x² - 24x + 36 ← in standard form
with a = 3, b = - 24 , c = 36 , then
b² - 4ac
= (- 24)² - (4 × 3 × 36
= 576 - 432
= 144 ← a perfect square
Then 2 zeros are real and rational and produce 2 x- intercepts
Each week the number infected doubles. the formula would be 2(2(2(96))). the sum is equal to 768.
768.