Answer: Option E is the correct answer; (1 + p⁴) / (1 + p³)
Step-by-step explanation:
P (3 head) = P(first and 3 heads) + P(second coin and 3 heads)
= (1/2)×1³ + (1/2)× p³ = (1/2) × (1 + p³)
therefore P(first coin given 3 heads) = (1/2)×1³/ ((1/2)×(1 + p³))
= 1 / (1 + p³)
Also P( second coin given 3 heads) = p³ /(1 + p³)
therefore P(4th toss in heads given first 3 are heads) will be;
= P(first and 4th toss heads) + P(second and 4th toss heads)
=(1/( 1 + p³ )) × 1 + p³ / (1+p³) × p
= (1 + p⁴) / (1 + p³)
Therefore Option E is the correct answer
Answer:
x=+12
Step-by-step explanation:
4(x+6)=6x=16
We move all terms to the left:
4(x+6)-(6x)=0
We add all the numbers together, and all the variables
-6x+4(x+6)=0
We multiply parentheses
-6x+4x+24=0
We add all the numbers together, and all the variables
-2x+24=0
We move all terms containing x to the left, all other terms to the right
-2x=-24
x=-24/-2
Answer:
y=6
Step-by-step explanation:
(2y-3)*2=4y-6
You multiply by two because there are two sides that are considered the length
y+1*2=2y+2
Same thing here
4y-6+2y+2=32
6y-4=32
+4. +4
6y=36
/6 /6
y=6
Let the total earnings be = x
Jennifer and Chris split the earnings in the ratio 3:2
Jennifer earned = $48
x=80
Hence total earnings are $80
(a) Chris earning is = 
Hence, Chris earns $32
(b) Jennifer spends 30% of her earnings on a book.
So, price of the book = 
Price of book = $14.40
(c) Jennifer also buys a magazine for = $5.40
So, total money Jennifer spent on book and magazine = 14.40+5.40=19.80
Money left with Jennifer = 48-19.80= $28.20
In fractions = 
or multiplying the numerator and denominator by 10, we get
=
(d) Let the original price of the shirt = x
reduction percentage on x= 40%
Price paid after reduction = 16.80
Hence, the original price of the shirt was $42.
Answer:
4m^(4)−3m^(3)−6m^(2)+5m
Step-by-step explanation:
