(Hint: Add the three probabilities for either six, seven, or eight boys.)
0.00390625
b. 0.109375
C. 0.03125
d. 0.1445
Answer:
There are many ways to solve this problem, here let's follow the hints
Probability of having exact 6 boys in 8 children:
8C6 x P(boys)^6 x P(girls)^2 = 8C6 x (1/2)^6 x (1/2)^2 =8C6 x (1/2)^8
Probability of having exact 7 boys in 8 children:
8C7 x P(boys)^7 x P(girls)^1 = 8C7 x (1/2)^7 x (1/2)^1 =8C6 x (1/2)^8
Probability of having exact 8 boys in 8 children:
8C8 x P(boys)^8 = 8C8 x (1/2)^8
Add these three, we have the solution
P = (8C6 + 8C7 + 8C8) x (1/2)^8 = (28 + 8 + 1) x (1/2)^8 = 0.1445
=> Option D is correct.
Note: 8C6, 8C7, 8C8 are combination notation.
Hope this helps!
:)
Answer:
the answer is d
Step-by-step explanation:
A. 1223 + 1
B. 6432 + 1
C. 6413 + 48y2 + 16y + 3
D. 6413 + 4812 + 12y + 1
y+5 = 2x
3y + 6x = -3
Answer:
(1, -3)
Step-by-step explanation:
Use Desmos! It's really useful.
Answer:
The solution is represented by the first number line, wich has the solutions x=-6 and x=-2.
Step-by-step explanation:
We have an absolute value function for the equation. This means that we should have two differents solution in the real number line. As the equation is
when we clear out the absolute value, we will have two possible solutions:
and
now we clear x from both equations
Then, we have that x=-2 and x=-4 are the solutions for the equation, and therefore the number line that represents the solution is the first one, where the points -6 and -2 are highlighted.
the first number line
given | x + 4 | = 2
removing the bars from the absolute value gives
x + 4 = 2 or x + 4 = - 2
x = 2 - 4 or x = - 2 - 4
x = - 2 and x = - 6 ← solutions
these are indicated on the number line by a solid circle at - 2, - 6
2√x+4-2=3