Answer:
29 minutes
Step-by-step explanation:
Given
Required
Determine the number of minutes (t) that he was on the trampoline.
This can be expressed as:
Where t represents the number of minutes
Substitute values for Total, Entrance Fee and Amount per minute
Solving further to get the value of t, we have:
Let me help you visualize this one.
Let's say we have 12 chickens.
OOOOOOOOOOOO
We divide this group in half (1/2 who tried to cross the road.)
OOOOOO
And here, we need to get 3/4 of the 6 left.
3/4 can be represented as 0.75 of 1.
6 times 0.75 equals to 4.5.
OOOOC (Woah, that chicken is split in half!)
What fraction is 4.5 of the original amount?
Well, that's for you to find out! Good luck in solving this question.
Answer:
a) density of the object is 3995.01, b) the weight scale reads 22N c) the sum individually will be the same with when added together.
Step-by-step explanation:
The weight of the object in air is 8N,
and weight = Mass * acceleration due to gravity = m * 9.81
8/9.81 = 0.815,
upthrust( force acting on the body from the liquid impeding the immersion) on the body when fully submerged = weight in air - weight in water = 8N - 6N =2N
Upthrust = weight of water displaced = 2N = mass * acceleration
2/9.81 = 0.204kg
density of water(1000kg/m^3) = mass of water / volume of water
volume of water displaced = 0.204/1000 = 0.000204m^3 (204cm^3)
volume of water displaced = volume of the solid
density of solid = mass/ volume = 0.815/0.000204 = 3995.01kg/m^3
b) when fully submerge in water the the scale experience according to newton third law of motion ( equal and opposite reaction of forces) additional 2N push so that total weight with the fully submerge solid = 20N + upthrust = 20N + 2N =22N
c) the of two scale reading is before (8N + 20N = 28N) and after (6N + 22N = 28) since there is no loss of matter; the demonstration was in equilibrium.
Answer:
The probability that the man is greater than 74 inches is 0.1587
Step-by-step explanation:
The required probability is found by evaluating the area under the corresponding distribution curve for the corresponding values
The standard normal variate factor (Z) is given by
where
is mean of the data
is the standard deviation of the data
Thus corresponding to x = 74 the Z factor equals
Using the standard normal distribution table corresponding to mean of 70 and deviation of 4 the area under the curve corresponding to Z = 1 equals
0.1587
One attached image has how to simplify the equation. The other has the graph.
