Answer:The prime factorization is the product of the circled primes. So the
prime factorization of 24 is 24 = 2 · 2 · 2 · 3 = 3.
Step-by-step explanation:
A+ny = n
a = n-ny
a = (1-y)n
a/(1-y) = n
n = a/(1-y)
Draw
Left side:
(1)Square=1 (1)Triangle=5 (1)Circle=6
1+5=6+6=12
Right side: (2)Circle=6
6+6=12
Answer:
60°
Step-by-step explanation:
This questions tests our knowledge on arcs and arc measures.
-Arc measure is the angle that an arc makes with the circle's center.
-The arc measure is proportional to the arc.
#The sum of the 3 arcs is x+2x+3x=6x
Given a circle has 360°, the arc measurement x can be calculated as:
![[x+2x+3x]=360\textdegree\\\\6x=360\textdegree\\\\x=60\textdegree](https://tex.z-dn.net/?f=%5Bx%2B2x%2B3x%5D%3D360%5Ctextdegree%5C%5C%5C%5C6x%3D360%5Ctextdegree%5C%5C%5C%5Cx%3D60%5Ctextdegree)
Hence, the arc measurement x is 60°
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.
