Answer:
<em>The data set marked as B has the largest standard deviation</em>
Explanation:
<u>Standard Deviation</u>
It's a number used to show how a set of measurements is spread out from the average value. A low standard deviation means that most of the values are close to the average. A high standard deviation means that the numbers are more spread out.
The formula for the standard deviation is

Where
is the value of each measurement, n is the number of elements in the set, and
is the average or media of the values, defined as

Let's analyze each set of data:
A.3,4,3,4,3,4,3
The average is

Computing the stardard deviation:


B.1,6,3,15,4,12,8
The average is

Computing the stardard deviation:


C. 20, 21,23,19,19,20,20
The average is

Computing the stardard deviation:


D.12,14,13,14,12,13,12
The average is

Computing the stardard deviation:


We can see the data set marked as B has the largest standard deviation
To find the acceleration, we will use the formula
F=ma
Here the net force will be 40N (50 - 10)
F = ma
40 = 4a
40/4 = a
10 m/s^2 = a
Hope you understood !
Cheese I'm so sorry for not having an answer I failed you
Answer:
- the age of the oldest stars
- patterns of background radiation
- how fast distant galaxies are moving away from us
Explanation:
According to the NASA, astronomers can estimate how old the universe is by comparing the age of the oldest stars and the rate of expansion of the universe. The rate of expansion of the universe is based on the Big Bang theory and it states that our universe is continuously expanding since it first developed. Astronomers measure Cosmic Microwave Background radiation resulting from the Big Bang.
Answer:
3.6 m/s
Explanation:
From the law of conservation of momentum,
Total momentum before jump = Total momentum after jump
<em>Note: Before Dan jump off the skateboard, they where both moving with the same velocity</em>
u(m+m') = mv+m'v'................. Equation 1
Where m = Dan's mass, m' = mass of the skateboard, u = common velocity before the jump, v = Dan's final velocity, v' = The final velocity of the skateboard.
make v the subject of the equation
v = [u(m+m')-m'v')]/m.............. Equation 2
Given: u = 4.0 m/s, m = 50 kg, m' = 5 kg, v' = 8 m/s
Substitute into equation 2
v = [4(50+5)-(5×8)]/50
v = (220-40)/50
v = 180/50
v = 3.6 m/s