Answer:
so the probability will be = 0.062
Standard deviation = 0.8925
Explanation:
The probability of rain = 15% = 15/100= 0.15
and the probability of no rain=q = 1-p= 1-0.15= 0.85
The number of trials = 7
so the probability will be
7C3 * ( 0.15)^3 (0.85)^4= 35* 0.003375 * 0.52200 =0.06166= 0.062
Taking this as binomial as the p and q are constant and also the trials are independent .
For a binomial distribution
Standard deviation = npq= 0.15 *0.85 *7= 0.8925
<h3>Answer:</h3>
10cm, 19cm
Explanation:
Forgive me, I dont have a paper with me now so I cant show you the working BUT here's the rough idea...
Hooke's Law explains that the force needed to extend or compress a spring by some distance x scales linearly with respect to that distance. Take for example the picture above.
As such, the values can be placed in a linear graph, given that it goes not reach its elastic limit. So subtract 20g from 30g and you'll get 10g; subtract 16cm from 14cm makes it 2cm. Following hooke's law makes F=x, 2F=2x so 10g=2cm; 5g=1cm and 1g=0.2cm.
So, to find out how much was extended in the first figure, multiply 20g by 0.2 to get 4cm; the third figure, 30g by 0.2 to get 6cm.
Hence the answer to question one is 14-4 and 16-6 which is 10cm
Now knowing the original length, we can calculate x finding the extention. First, multiply 45g with 0.2 giving 9cm, then adding it to the original 10cm to obtain 19cm.
Hope this is understandable
Explanation:
The given data is as follows.
Charge (q) = 2 coulomb, Force (F) = 60 N
Now, it is known that the relation between electric field, force and charge is as follows.
Magnitude of electric field (E) =
Hence, putting the given values into the above formula as follows.
Electric field (E) =
=
= 30 N/C
Thus, we can conclude that the magnitude of the electric field at the place where the charge is located is 30 N/C.
Answer:
Every object has a different density and therefore carries different properties. When rays of white light strike an object, each ray light strikes the object with different frequency and therefore is absorbed and reflected differently from the host object.
In case if all the frequencies are absorbed by the object, it turns out to be black in color. Whereas on the other hand, if it is a mix of absorption and reflection, it makes different colors based on its frequencies and other properties of the object.