Answer:
The volume of the sphere is 24416.6 cm³
Step-by-step explanation:
To calculate the volume of a sphere we have to use the following formula:
v = volume
r = radius
v = ⁴⁄₃πr³.
To solve this formula we first have to have all the data, as we see we need to calculate the radius, which is calculated by dividing the diameter by 2
r = d/2
r = 36cm/2
r = 18cm
Now that we have all the data we can solve the formula
v = ⁴⁄₃πr³.
v = ⁴⁄₃ * 3.14 * (18cm)³
v = 24416.64 cm³
Round to the nearest tenth
v = 24416.6 cm³
Answer:the probability that exactly five customers make a purchase is 0.033
Step-by-step explanation:
The formula for binomial distribution is expressed as
P(x = r) = nCr × q^(n - r) × p^r
Where
p = probability of success
q= probability of failure
n = number of sample
From the information given,
39 percent of all customers who enter a store will make a purchase. It means that the probability of success, p = 39/100 = 0.39
The probability of failure q, would be 1 - p = 1 - 0.39 = 0.61
n = 6
The probability that exactly five customers make a purchase is expressed as
P(x = 5) = 6C5 × 0.61^(6 - 5) × 0.39^5
P(x = 5) = 6 × 0.61× 0.39^5 = 0.033
The formula is the area of the base times the height.<span>
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