The solution to the answer is as follows:
sqrt(20/45)
= <span>sqrt(4/9)
= 2/3 (scalar factor of sides, ratio perimeters)
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Step-by-step explanation:
Soln
Given
Cp of 1 glass tumbler=80.1000
=Rs 80000
Number of broken glass tumbler=50
Number of remaining glass tumbler=1000-50
=950
Sp of one glass tumbler=96
Sp of 950 glass tumbler=96.950
=91200
Now
Sp > Cp so it is profit
Profit%=sp-cp/cp.100
=91200-80000/80000.100
=11200/80000.100
=14%
Correct answer is: P(x<6) is 0.123 and it is usual.
Solution:-
Given that the time a person takes to decide which shoes to purchase follows normal distribution. Which has mean = 8.21 minutes and standard deviation 1.90
Then probability of individual takes less than 6 minutes is
P(X<6) = ![P(z](https://tex.z-dn.net/?f=P%28z%3C%5Cfrac%7Bx-mean%7D%7Bstandard%20deviation%7D%20%29)
= ![P(z](https://tex.z-dn.net/?f=P%28z%3C%5Cfrac%7B6-8.21%7D%7B1.90%7D%20%29%3DP%28z%3C-1.163%29)
= 0.1230
Typically we say an event with a probability less than 5% is unusual.
But here P(X<6) = 0.123 is greater than 5% hence this is usual.
Answer:
Plants are restrictive to flow of eroding agents, bind soil in their roots.
Step-by-step explanation:
Soil Erosion is the wearing away of the topmost fertile layer of soil. Topsoil gets eroded mainly due to wind, water agents.
Plants help to prevent soil from erosion in following ways :
- Plants act as restriction to the speed of air & water, which are the main soil erosion agents. It also lets rain water get soaked into the ground water.
- Plants roots also bind the soil tightly, & make soil stronger to be eroded by erosive agents - water, air. Eg : Shrubs , trees, grass & ground are important soil erosion preventive plants, because of their extensive root systems.
f(x) = 0.5x - money per ticket
g(x) = 8x - tickets per hour
We replace g(x) with its value (8x).
f(g(x)) = f(8x)
We replace the x in f(x) with 8x.
f(8x) = 0,5 × 8x
f(8x) = 4x
<u>⇒ f(g(x)) = 4x</u>
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Correct answer:
a.<em> f(g(x)) = 4x, which represents the money Aurora made in dollars per hour</em>