Assuming that 10% is the probability of a switch being defective (since left-handedness has nothing to do with the problem):
For a binomial distribution, probability(r out of n) = (nCr) (p)^r (q)^(1-r)
p = 10% = 0.1, q = 1 - p = 0.9
r = 2 switches, n = total of 12 switches
probability = (12C2) (0.1)^2 (0.9)^(12-2)
probability = 66(0.1)^2 (0.9)^10
probability = 0.23
Answer:
(C) Perpendicular bisector theorem
Step-by-step explanation:
(A) Right angle theorem : The right angle theorem states that if two angles are supplementary and congruent, then these two angles are right angles.
(B) Converse of perpendicular bisector theorem: The converse of perpendicular bisector theorem states that If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of that segment.
(C) Perpendicular Bisector Theorem: The Perpendicular Bisector Theorem states that If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
(D) Pythagorean theorem: The Pythagorean theorem states that in the right angled triangle, the square of the hypotenuse of the triangle is equal to the sum of the squares of the other two sides that is:

Since, the given statement is the statement of the Perpendicular bisector theorem, thus option C is correct.
Answer:
£1920
Step-by-step explanation:
The amount she spent in 2016 is 20% less than 2017. 20% less than is the same as 80% of the amount she spent in 2017. So, to find how much she spent in 2016, multiply 2400 by 0.80 (the decimal form of 80%):
2400 * 0.8 = 1920
Emily spent £1920 on holiday in 2016.
I hope this helps :)
The tip would be $11.76 I think let me know if I'm right
Answer:
62 minutes.
Step-by-step explanation:
To find the mean, you need to <u>add</u> together all of your values (the minutes) and <u>divide</u> them by the number of values (how many sets of minutes given).
So, choosing to add 62 minutes:
38 + 40 + 40 + 42 + 43 + 50 + 62 = 315
There are 7 sets of minutes in total, so we then divide 315 by 7.
315/7 = 45 minutes
Therefore, running 62 minutes on the seventh day would cause you to run a mean of 45 minutes per day for the week.