Answer:
The probability is 2.2%
Step-by-step explanation:
The probability that a randomly selected adult uses the telephone in classes is always equal to 0.48.
If x represents the number of adults selected from among the 8 that the telephone uses in classes, then x is a discrete random variable that follows a binomial distribution, with:
p = 0.48
q = 0.52
n = 8
We want to find the probability of x = 5
The probability is 2.2%
Answer:
B. x=6
move all terms to the left that don't contain x to the right side and solve.
Let the three numbers be x, y, and z.
If the sum of the three numbers is 3, then x+y+z=3
If subtracting the second number from the sum of the first and third numbers gives 9, then x+z-y=9
If subtracting the third number from the sum of the first and second numbers gives -5, then x+y-z=-5
This forms the system of equations:
[1] x+y+z=3
[2] x-y+z=9
[3] x+y-z=-5
First, to find y, let's take do [1]-[2]:
x+y+z=3
-x+y-z=-9
2y=-6
y=-3
Then, to find z, let's do [1]-[3]:
x+y+z=3
-x+-y+z=5
2z=8
z=4
Now that you have y and z, plug them into [1] to find x:
x+y+z=3
x-3+4=3
x=2
So the three numbers are 2,-3, and 4.
It proves The function f(x) is an arithmetic sequence.
#5
5(p+6)=8p
5p+30=8p
8p-5p=30
3p=30
30/3
p= 10 is your answer
#4
3(g+7)=2(10+g)
3g-21=20+2g
3g-2g
g-21=20
20+21
g=41 is your answer
#6
3/7 w -11= -4/7 w
3/7w=-4/7 + 11
3/7 w = 73/7 x 7
3w = 511/7
3w= 73
w= 73/7 is your answer
