Yes, Hernando's calculations are accurate as he performed the division of 6 by 6.
15.87% of blue whales consume over 5,850 pounds of fish. Step-by-step explanation: The mean intake is 5000 pounds with a standard deviation of 850 pounds. We need to calculate P(x > 5850). Utilizing the z-score, z = (x - mean) / standard deviation gives us z = (5850 - 5000) / 850 which simplifies to z = 1. Subsequently, we find P(z > 1) from the z-score table, resulting in P(z > 1) = 0.8413. To find the percentage, we subtract from 1, yielding 1 - 0.8413 = 0.1587 and multiplying this by 100 gives us 15.87%.
The initial height of 5 feet above sea level serves as the y-intercept, and the erosion rate of −1 foot per 20 years represents the slope. The dune’s height y varies with time. Using the slope–intercept form gives:
Y = (-1/20)t + 5
Answer:
8 inches
Step-by-step explanation:
The formula for calculating the surface area of a cone without its base is:
Surface area = pi*r*s
Where r signifies the radius at the base and s represents the slant height.
The smaller cone has a surface area of 41.6pi in² with a radius of 6.4 inches, which means the slant height calculates as:
41.6pi = pi*r*s
41.6 = 6.4s
s = 6.5 in
Since the cones are similar, the radius and slant height will grow in the same ratio, leading to:
r'/s' = r/s = 6.4/6.5
s' = r'*6.5/6.4
For the larger cone, we have:
65pi = pi*r'*s'
65 = r'*r'*6.5/6.4
r'^2 = 64
r' = 8 inches
