Answer:
Step-by-step explanation:
The graph decreases at first, then changes direction at (2, 5).
y = a(x-2)^2 + 5
Plug in (1,11) and solve for a:
11 = a(1-2)^2 + 5
a = 6
Equation in vertex form:
y = 6(x-2)^2 + 5
Answer:
10000π units²
Step-by-step explanation:
From the question given above, the following data were obtained:
Circumference (C) = 100π
Surface Area of sphere (SA) =?
Next, we shall determine the radius. This can be obtained as follow:
Circumference (C) = 100π
Radius (r) =?
C = 2πr
100π = 2πr
Divide both side by 2π
r = 100π / 2π
r = 50 units
Finally, we shall determine the surface area of the sphere. This can be obtained as follow:
Radius (r) = 50 units
Surface Area of sphere (SA) =?
SA = 4πr²
SA = 4 × π × 50²
SA = 4 × π × 2500
SA = 10000π units²
Therefore, the surface area of the sphere is 10000π units²
Answer: the probability that a randomly selected Canadian baby is a large baby is 0.19
Step-by-step explanation:
Since the birth weights of babies born in Canada is assumed to be normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = birth weights of babies
µ = mean weight
σ = standard deviation
From the information given,
µ = 3500 grams
σ = 560 grams
We want to find the probability or that a randomly selected Canadian baby is a large baby(weighs more than 4000 grams). It is expressed as
P(x > 4000) = 1 - P(x ≤ 4000)
For x = 4000,
z = (4000 - 3500)/560 = 0.89
Looking at the normal distribution table, the probability corresponding to the z score is 0.81
P(x > 4000) = 1 - 0.81 = 0.19
Answer:
hah idk grams? wait no pounds
Step-by-step explanation:
the answer is pounds
