Hey!!
here is your answer >>>>
If there are 8 students, and who have 3/4 the cake to share equally, we will have to divide 3/4 with 8.
which is( 3/4)/(8)
Now, we will have to take a reciprocal, we get,
(3/4)(1/8)
which is 3/32
which is
Each student gets, 3/32 of the cake!
Hope my answer helps!
24- sqrt(720/4) divide 720 by 4
24 - sqrt (180) now break down 180 to 9*4*5
24- sqrt(9) *sqrt(4) *sqrt (5) so 9becomes 3, 4 becomes 2
24- 3*2*sqrt(5) multiply 3 and 2
24-6sqrt(5)
Keep these rules in mind:
- (a + b)² = a² + 2ab + b²
- (a - b)² = a² - 2ab + b²
- (a + b)(a - b) = a² - b²
Firstly, solve the exponent and multiplication:

Next, combine like terms:

Next, subtract 4x² on both sides:

Next, subtract 25 on both sides:

Lastly, divide both sides by -20.5. And since you are dividing by a <u>negative</u>, flip the inequality sign:

<u>Your answer is x > 2.</u>
Answer:
a) There are 8 possible combinations and each probability is 1/8.
b) The probability that it is a boy given that there are two girls is 3/8
Step-by-step explanation:
a) The sample space is given by:
BBB (3 boys)
BBG (Boy, boy, girl)
BGB (Boy, girl, boy)
BGG (Boy, girl, girl)
GBB (girl, boy, boy)
GBG (girl, boy, girl)
GGB (girl, girl, boy)
GGG (3 girls)
The probability of each combination is the same:
P(BBB)=P(B∩B∩B)=
2) There are three possible combinations in which there are 2 girls and 1 boy:
BGG, GBG, GGB
So the probability is given by:
P(BGG ∪ GBG ∪ GGB)=