Answer:
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The area of the given parallelogram is approximately
Data given;
- a = 13cm
- b = 21cm
- angle = 79 degrees
<h3>Area of a Parallelogram</h3>
The area of a parallelogram is the product of its two sides and the sine of the angle (if given).
So the formula of our parallelogram is
x = angle
Substitute the values and solve.
From the calculation above, the area of the parallelogram is approximately
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The standard deviation of the average age of a breed of dog is said to be 3.69.
<h3>What is the standard deviation about?</h3>
Note that we take:
- x = dog age has mean 19.5
- Unknown standard deviation.
Hence:
z = (x - mean) /SD is distributed N (0,1) - mean o standard deviation 1 (standard normal)
Since 20% of dogs are known to be older than 22.6 years:
So 22.6 years is said to be 80th percentile,
Since z matching to 80th percentile (using the standard normal table) s is <em>0.84.</em>
Then one need to plug z, x which is = 22.6
mean = 19.5 into the stated z equation:
Hence,
0.84 = (22.6 - 19.5)/SD
SD = (22.6 - 19.5)/0.84
= 3.69
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Answer:
There are six widely accepted conditions for hurricane development:
1. The first condition is that ocean waters must be above 26 degrees Celsius (79 degrees Fahrenheit). Below this threshold temperature, hurricanes will not form or will weaken rapidly once they move over water below this threshold. Ocean temperatures in the tropical East Pacific and the tropical Atlantic routinely surpass this threshold.
2. The second ingredient is distance from the equator. Without the spin of the earth and the resulting Corioles force, hurricanes would not form. Since the Corioles force is at a maximum at the poles and a minimum at the equator, hurricanes can not form within 5 degrees latitude of the equator. The Corioles force generates a counterclockwise spin to low pressure in the Northern Hemisphere and a clockwise spin to low pressure in the Southern Hemisphere.
3. The third ingredient is that of a saturated lapse rate gradient near the center of rotation of the storm. A saturated lapse rate insures latent heat will be released at a maximum rate. Hurricanes are warm core storms. The heat hurricanes generate is from the condensation of water vapor as it convectively rises around the eye wall. The lapse rate must be unstable around the eyewall to insure rising parcels of air will continue to rise and condense water vapor.
4. The fourth and one of the most important ingredients is that of a low vertical wind shear, especially in the upper level of the atmosphere. Wind shear is a change in wind speed with height. Strong upper level winds destroy the storms structure by displacing the warm temperatures above the eye and limiting the vertical accent of air parcels. Hurricanes will not form when the upper level winds are too strong.
5. The fifth ingredient is high relative humidity values from the surface to the mid levels of the atmosphere. Dry air in the mid levels of the atmosphere impedes hurricane development in two ways. First, dry air causes evaporation of liquid water. Since evaporation is a cooling process, it reduces the warm core structure of the hurricane and limits vertical development of convection. Second, dry air in the mid levels can create what is known as a trade wind inversion. This inversion is similar to sinking air in a high pressure system. The trade wind inversion produces a layer of warm temperatures and dryness in the mid levels of the atmosphere due to the sinking and adiabatic warming of the mid level air. This inhibits deep convection and produces a stable lapse rate.
6. The sixth ingredient is that of a tropical wave. Often hurricanes in the Atlantic begin as a thunderstorm complex that moves off the coast of Africa. It becomes what is known as a midtropospheric wave. If this wave encounters favorable conditions such as stated in the first five ingredients, it will amplify and evolve into a tropical storm or hurricane. Hurricanes in the East Pacific can develop by a midtropospheric wave or by what is known as a monsoonal trough.
Explanation:
