Answer:
Step-by-step explanation:
*Move terms to the left and set equal to zero:
4㏒(√x) - ㏒(3x) - ㏒(x²) = 0
*simplify each term:
㏒(x²) - ㏒(3x) - ㏒(x²)
㏒(x²÷x²) -㏒(3x)
㏒(x²÷x² / 3x)
*cancel common factor x²:
㏒(
)
*rewrite to solve for x :
10⁰ =
1 =
1 · x = · x
1x = 
*that would be our answer, however, the convention is to exclude the "1" in front of variables so we are left with:
x =
Answer:
10.
x P(X)
0 0.238
1 0.438
2 0.269
3 0.055
11.
0.707
There is 70.7% chance that at least one but at most two adults in the sample believes in the ghost
12.
1.14≅1
There will be one adult out of three we expect to believe in the ghost
Step-by-step explanation:
The probability distribution is constructed using binomial distribution.
We have to construct the probability distribution of the number adults believe in ghosts out of three adults. so,
x=0,1,2,3
n=3
p=probability of adults believe in ghosts=0.38
The binomial distribution formula
nCxp^xq^n-x=3cx0.38^x0.62^3-x
is computed for x=0,1,2,3 and the results depicts the probability distribution of the number adults believe in ghosts out of three adults.
x P(X)
0 0.238
1 0.438
2 0.269
3 0.055
11.
P(at least one but at most two adults in the sample believes in the ghost )= P(x=1)+P(x=2)=0.437+0.269=0.707
P(at least one but at most two adults in the sample believes in the ghost )=70.7%
12. E(x)=n*p
here n=3 adults and p=0.38
E(x)=3*0.38=1.14
so we expect one adult out of three will believe in the ghosts.
Answer:
A.) 20
Step-by-step explanation:
These angles are complementary meaning they add up to 90°.
4x - 10 + x = 90
5x - 10 = 90
5x = 100
x = 20
Answer:
31, 37
Step-by-step explanation:
Let the smaller number be x
Therefore, longer number = x + 6
According to the given information:
x + x + 6 = 68
2x + 6 = 68
2x = 68 - 6
2x = 62
x = 62/2
x = 31
x + 6 = 31 + 6 = 37
Thus, the two parts of 68 are 31 and 37.
