Exact form: 3336711069/389
Decimal form: 8577663.42 (rounded)
Mixed number form: 8577663 & 162/389
Sheila is incorrect! I think what she did is think the 38 was actually a 35, which WOULD of made her statement true, but since it's 38, she's very incorrect. Sheila should be using the quotient for the size of each piece. 38 divided by 5 is 7.6. The correct answer is 7.6 inches.
The solution is definitely m<-4
Because the balls or spheres are tightly packed in a cube, their radius is approximately equal to 2 ft. The volume of a sphere is calculated through the equation,
V = 4/3πr³
Substituting the known radius,
V = 4/3π(2 ft)³
V = 33.51 ft³
The 9 spheres will have a total volume of 301/59 ft³ which is also equal to 521152.52 in³.
Answer:the probability that the diameter of a randomly selected pencil will be less than 0.285 inches is 0.06681
Step-by-step explanation:
Since the diameters of pencils produced by a certain machine are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = diameters of pencils produced by a certain machine
u = mean diameter
s = standard deviation
From the information given,
u = 0.30 inches
s = 0.01 inches
We want to find the probability that the diameter of a randomly selected pencil will be less than 0.285 inches. It is expressed as
P(x lesser than 0.285)
For x = 0.285
z = (0.285 - 0.3)/0.01 = - 1.5
Looking at the normal distribution table, the corresponding z score is
0.06681
