Answer:
<em>The ball will roll upto </em><em>1 m.</em>
Step-by-step explanation:
A 1 kg ball has 10 joules of kinetic energy and starts to roll up a hill.
As along the hill the ball rises up, it loses its kinetic energy. The kinetic energy is converted to potential energy.
According to the law of conservation of energy, the kinetic energy plus the potential energy equals a constant.
Here given kinetic energy as 10 J, so this energy will get converted to potential energy.
We know that, potential energy is

where,
m is the mass, g is the acceleration due to gravity and h is the height.
Putting the values,



Answer: 
Step-by-step explanation:
The confidence interval for population mean is given by :-

, where
= Population standard deviation.
n= sample size
= Sample mean
z* = Critical z-value .
Given :
n= 49
Two-tailed critical value for 95% confidence interval = 
Then, the 95% confidence interval would be :-




Hence, the 95% confidence interval for estimating the population mean
:

Answer:
On the context of the problem, the slope means the total paid for every month that the apartment is rented, 900 per month in this case, while the y-intercept means the initial cost for renting the apartment, 1400 upfront in this case.
Step-by-step explanation:
This function is linear, which means that it increases at a steady rate and has the following form:

Where "a" is the slope or the rate at which "y" changes for every change in "x". While "b" is the number at which the function crosses the "y" axis.
On the context of the problem, the slope means the total paid for every month that the apartment is rented, 900 per month in this case, while the y-intercept means the initial cost for renting the apartment, 1400 upfront in this case.
To solve this first we need to get are chunk which is already solved for here as
Y=(4x) so one the chunk side of this we dont have to solve for it, so now we can just skip right to solving this equation like so. First input the numbers x+(4x)=5,
Distribute/Combine like terms in this case
5x=5
Divide by 5
x=1
So now that we have x we can plug it into are chunk and then we have are answer
Y=(4x)
Y=(4*1)
Y=4
So are end answers are

Enjoy!=)