Answer: APBQ : APBC=4:21 and AAQP : AABC= 3:28.
Explanation: given : Here ABC is a triangle where AP:PC=1:3
let AP=1x and PC=3x, where x is the common value of AP and PC.
And AQ:QB = 3:4, similarly, let AQ=3y and QB= 4y, where y is the common value of AQ and QB.
Thus, AC= AP+PC= 1x+3x=4x and AB= AQ+QB= 3y+4y=7y
since, we have to find out APBQ : APBC= AP×BQ: AB×PC= 1x×4y: 7y×3x=4xy:21xy=4:21
So, APBQ : APBC=4:21
Now, AAQP : AABC= AQ×AP:AB×AC= 3y×1x:7y×4x=3xy:28xy=3:28
Thus, AAQP : AABC= 3:28.
Answer:
x < - 10
Step-by-step explanation:
Given
- 4(- 4 + x) > 56 ← distribute left side
16 - 4x > 56 ( subtract 16 from both sides )
- 4x > 40
Divide both sides by - 4, reversing the symbol as a result of dividing by a negative quantity.
x < - 10
Answer:
Mean = 0.48
Step-by-step explanation:
Given that according to the Masterfoods, we have M&M manufactures different colours of peanuts.
Colour Brown Yellow Red Blue Orange Green Total
Percent 12 15 12 23 23 15 100
We can sort this as brown 12% and non brown 88%
X no of brown in the selection of 4 peanuts is binomial since there are two outcomes and each is independent.
P(X=r) = 4Cr (0.12)^r (0.88)^(n-r)

E(x) = np = 
If im doing this right i believe the answer would be 6