Answer:
x=27.5
FG=72.5
GH=60
HF=47.5
Step-by-step explanation:
Sum of angles in a triangle=180
Therefore, FG+GH+HF=180
Substituting the values we have,
(3x - 10) + (2x+5) +(x+20) = 180
Collecting like terms
3x+2x+x = 180 +10 - 5 - 20
6x = 165
X= 27.5
FG = (3x - 10) = 3(27.5) - 10
FG= 72.5
GH= (2x+5) = 2(27.5)+5
GH=60
HF= x+20 =27.5+20
HF=47.5
Answer:
x = 17, MN = 11
Step-by-step explanation:
Given 2 secants from an external point to a circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant.
(5)
7(7 + x) = 8(8 + 13) = 8 × 21 = 168 ( divide both sides by 7 )
7 + x = 24 ( subtract 7 from both sides )
x = 17
(6)
9(9 + 2x - 7) = 10(10 + 8)
9(2x + 2) = 10 × 18 = 180 ( divide both sides by 9 )
2x + 2 = 20 ( subtract 2 from both sides )
2x = 18 ( divide both sides by 2 )
x = 9
Then
MN = 2x - 7 = 2(9) - 7 = 18 - 7 = 11
Answer:
25w + 60= 600
25w= 540
w=21.6
Step-by-step explanation:
First make the equation
1. Subrtract 60 from each side
2. Now divide 25 on both sides
3. now you have the answer
I GOT A DECIMAL SO MAYBE ROUND OR PUT THAT EXACT ANSWER.
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.
It will take Dave 7 weeks to earn the right amount of money.
