You just have to multiply the numerators and the denominators.
The answer is 14 over 56. Then, you need to simplify the question.
So, since 56 is divisible by 14, divide the numerator and the denominator by 14.
Then you get your answer, which is one-fourth.
Hope that helped!
Answer:
x = 50
Step-by-step explanation:
The two angles are vertical angles, so they are congruent. Congruent angles have equal measures. Set the angle measures equal to each other, and solve the equation for x.
2(x + 10) = 3x - 30
Distribute on the left side.
2x + 20 = 3x - 30
Subtract 2x from both sides.
20 = x - 30
Add 30 to both sides.
50 = x
x = 50
Answer:
a) P(75 < x < 80 ) = 0.2088
b) The probability that average height of all humans less than 65
P( X < 65 ) = 0.0495
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given mean of the Population = 72
Given variance of the Population = 18 inches.
Standard deviation of the Population = √18 = 4.242
Let 'x' be the random variable in Normal distribution
a)
Given X₁ = 75
Given X₂= 80
The probability that average height of all humans between 75 and 80
= | A ( 1.885) - A( 0.70721|
= 0.4699 - 0.2611
= 0.2088
P(75 < x < 80 ) = 0.2088
b)
<u><em>Step(ii)</em></u>:-
Given X₁ = 65
The probability that average height of all humans less than 65
P( X < 65 ) = P( Z < - 1.650 )
= 1 - P( Z > 1.650)
= 1 - ( 0.5 + A (1.650))
= 0.5 - A( 1.65)
= 0.5 - 0.4505
= 0.0495
The probability that average height of all humans less than 65
P( X < 65 ) = 0.0495
the value of the car will be 3250 after 5 years
Step-by-step explanation:
the value of the car = 13000
rate of interest = 15%
time = 5 years
in 5 years the car will depreciates = 13000 X 15% X 5
=
= 9750
after 5 years the value of the car is = 13000 - 9750 = 3250
First you'd find 1/50 as a decimal by dividing 1 and 50 which gives you 0.02. 0.02 as a decimal is 2 so add 2 to the other numbers and you'll get 234.5%. Hope it helped