Answer: the z score is 1
Step-by-step explanation:
Since the head circumference for boys at birth is normally distributed,
we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = head circumference for boys at birth.
µ = mean head circumference
σ = standard deviation
From the information given,
µ = 34.5cm
σ = 1.3 cm
For a boy born with a head circumference of 35.8cm, the z score is
z = (35.8 - 34.5)/1.3
z = 1
Answer:
x = 2,94 ft
h = 0,88 ft
C(min) = 12,23 $
Step-by-step explanation:
Let x be radius of the base and h th hight of th cylinder then
Area of the bottom A₁ = π*x²
And cost of the bottom C₁ = 0,15*π*x²
Lateral area A₂
A₂ = 2*π*x*h but V = 24 ft³ V = π*x²*h h = V/ π*x²
A₂ = 2*π*x* (24/ π*x²)
A₂ = 48 /x
Cost of area A₂
C₂ = 0,05 * 48/x
C₂ = 2,4/x
Total cost C C = C₁ + C₂
C(x) = 0,15*π*x² + 24/x
Taking derivatives on both sides of the equation
C´(x) = 0,3**π*x - 24/x²
C´(x) = 0 0,3**π*x - 24/x² = 0
0,942 x³ = 24
x³ = 25,5
x = 2,94 ft and h = V/π*x² h = 24 /3,14* (2,94)²
h = 0,88 ft
C(min) = 0,15 * 3,14 * (2,94)² + 24/2,94
C(min) = 4,07 + 8,16
C(min) = 12,23 $
Answer:
2 and 1/2 cups of rice is 10 sushi rolls he can make.
Step-by-step explanation:
2 and 1/2 is 1/4 ten times as shown below.
1/4, +1/4, +1/4, +1/4, +1/4, +1/4,+ 1/4, + 1/4, +1/4, +1/4 = 10/4 = 2 and 1/2.
Answer:
True
Step-by-step explanation:
The given statement is true.
Area of a rectangle is length times width.
A rectangle with the side length of 4 and 5 inches would have an area of 20 square inches.
Hope this helps.