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Answer:
r = 0.86
Explanation:
Correlation coefficients are the strength of the relationship between two variables.
Correlations can indicate anywhere between
- 1 - for a strong positive relationship.
- -1 - for a strong negative relationship.
- 0 - for no relationship at all.
Looking at sample correlation coefficient formula which says
=
÷ (
×
)
where
and
are the sample deviations and
is the sample covariance, all of which will remain the same for Maria and John.
Hence, John's correlation will be approximately 0.86 since he would have approximately the same measurement as Maria's measurement when Maria's measurement is converted from centimeters to inches.
Answer:

Explanation:
Given that,
Efficiency of heat engine, 
Temperature of hot source, 
We need to find the temperature of cold sink i.e.
. The efficiency of heat engine is given by :




So, the temperature of the cold sink is 256.2°C. Hence, this is the required solution.
Answer: 9kgm/s
Explanation:
Given that,
Mass of ball = 3 kg
Speed by which ball moves = 3 m/s. Linear momentum of the ball = ?
Since momentum refers to the quantity of motion of the moving ball,
Linear momentum = Mass x Speed
= 3kg x 3m/s
= 9 kgm/s
Thus, the linear momentum of the ball is 9kgm/s
Answer:
v = 1.28 m/s
Explanation:
Given that,
Maximum compression of the spring, 
Spring constant, k = 800 N/m
Mass of the block, m = 0.2 kg
To find,
The velocity of the block when it first reaches a height of 0.1 m above the ground on the ramp.
Solution,
When the block is bounced back up the ramp, the total energy of the system remains conserved. Let v is the velocity of the block such that,
Initial energy = Final energy

Substituting all the values in above equation,

v = 1.28 m/s
Therefore the velocity of block when it first reaches a height of 0.1 m above the ground on the ramp is 1.28 m/s.