Answer:
The probability that the amount of gas in Sarah's car is exactly 7 gallons is 0.067.
Step-by-step explanation:
Let the random variable <em>X</em> represent the amount of gas in Sarah's car.
It is provided that .
The amount of gas in a car is a continuous variable.
So, the random variable <em>X</em> follows a continuous uniform distribution.
Then the probability density function of <em>X</em> is:
For a continuous probability distribution the probability at an exact point is 0.
So, to compute the probability that the amount of gas in Sarah's car is exactly 7 gallons use continuity correction on both sides:
P (X = 7) = P (7 - 0.5 < X < 7 + 0.5)
= P (6.5 < X < 7.5)
Thus, the probability that the amount of gas in Sarah's car is exactly 7 gallons is 0.067.
Answer:
n = 3.3167 moles
Step-by-step explanation:
The number of mole in water
H2O
n = m/Mm
n = number of mole
m = number of mass
Mm = number of molar mass
Given :
Mass = 59.75g
Mm of H2O
H - 1.00784
O - 15.999
Mm
H = 2 * 1.00784 = 2.01568
O = 15.999
Mm of H2O = 15.999 + 2.01568
= 18.01468
insert the values into the formula
n = m/Mm
n = 59.75/18.01468
= 3.3167moles
Answer:
152 cm²
Step-by-step explanation:
The shaded area is calculated as
outer area - inner white area
= (12 × 18) - (8 × 8 )
= 216 - 64
= 152 cm²
Answer:10
Step-by-step explanation:
ok they are 18 apples
and they ate them
one ate two more thatn the other one
so we can say that one of them is x(charles)
and the one who ate two more is x+2(lisa)
so we get this
x+x+2=18
2x+2=18
2x+18-2
2x=16
x=8
so charles ate 8
and lisa 10(8+2)