Answer:
c
Step-by-step explanation:
Indirect measurements are useful when it is not possible to measure the object. For some reason. Scientists use indirect measurements when the measure the, temperature of a flame my measuring the wavelength of the light being given off
The probability that the 10th will be able to sit on his/her original seat when the 1st person has randomly changed his/her seat is 7/9
Probability :
In Mathematics, Probability stands for the ratio of the number of favorable outcomes to the total number of outcomes in a random experiment. It is used to predict how likely an event can happen.
Probability of an event,
P(E) = No of favorable outcomes / total number of outcomes
Here we have,
10 people always get on a bus in the same order and sit in the same places.
The 1st person has randomly changed his/her seat
Except for 1 remaining number of seats is 9
If 1st person changes his/her place with the remaining 9 seats the number of ways that 1st person can be seated is 9
In 9 ways 10th will be able to sit on his/her original seat when the 1st person is seated in 2 to 9 seats i.e 7 seats
Therefore,
The number of favorable outcomes that the 10th person will be able to seat in his/her original seat = 7
From the above observations,
The probability that the 10th will be able to sit on his/her original seat
= 7 / 9
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The answer is <span>twelve sevenths (12/7)
</span>
x - the job<span>
t - time to do the job x
</span><span>Robin can mow a lawn in 3 hours: x/3 * t
</span><span>Brady can mow the same lawn in 4 hours: x/4 * t
</span><span>If they work together, the total work will
be the sum of their speeds:
</span>x = x/3 * t + x/4 * t = (x/3 + x/4)*t = (4x/12 + 3x/12) * t = 7x/12 * t
x = 7x/12 * t
Divide both sides by x:
x/x = 7x/12 * t/x
1 = 7/12 t
t = 1 : 7/12
t = 12/7
Answer:
Options (C), (D) and (E)
Step-by-step explanation:
Slope of the given line = 
Any line having same slope will be parallel to the given line otherwise the lines will intersect.
Therefore, we will find the slope of the lines passing through two points given in the options.
Option A
Slope of the line passing through (12, -13) and (15, -12)
m = 
= 
= 
Therefore, both the lines are parallel having no point of intersection.
Option B
Slope = 
= 
Both the lines are parallel having no point of intersection.
Option C
Slope = 
= 
Therefore, both the lines will intersect.
Option D
Slope = 
= 
Both the lines will intersect each other.
Option E
Slope = 
= 
Both the lines will intersect each other at a point.
Options (C), (D) and (E) are the correct options.