Answer:
12 3/4 same slope fro both
13 DE = 5, CB = 10
14 see below
Step-by-step explanation:
12. the slopes are the same
D(0, 3) E(4, 6) slope is (change in y)/(change in x)
change in y = 3 to 6 is a change of +3
Change in x = 0 to 4 is a change of +4
slope is 3/4
13 To fine lengths you can distance formula or Pythagorean theorem (spoiler: they are related to each other)
DE² = 3² + 4²
DE² = 9 + 12
DE² = 25
√DE² = √25 = 5
DE = 5
and
CB² = 6² + 8²
CB² = 36 + 64
CB² = 100
√CB² = √100 = 10
CB = 10
14. since the slopes are the same are DE is 1/2 or CB its is the mid segment. because (taken from mathopenref.com/trianglemidsegment.html)
The midsegment is always parallel to the third side of the triangle. In the figure above, drag any point around and convince yourself that this is always true.
The midsegment is always half the length of the third side. In the figure above, drag point A around. Notice the midsegment length never changes because the side BC never changes.
A triangle has three possible midsegments, depending on which pair of sides is initially joined.
I There would be 52-4 = 48 cards that are not aces.
The probability of picking a non ace card would be 48 out of 52, which is written as 48/52, which reduces to 12/13
The segments shown below could form a triangle.
True.
Answer:
The probability that there will be repair exactly 3 toaster is 0.0574.
Step-by-step explanation:
Binomial Distribution:
A discrete random variable X having the set {0,1,2,3......,n} as the spectrum, is said have a binomial distribution with parameter n= number of trials and p=probability of number of success on an individual trial, if the p.m.f (probability mass function) of X given by,
x=0,1,2,......,n
=0 elsewhere
where 0<p<1 and n is a positive integer.
Total number of toaster in cartons(n) = 10.
Probability of number of success on an individual trial p= 10% = 0.10
=0.0574
The probability that there will be repair exactly 3 toaster is 0.0574.
I think its 210 because there are 7 letters and 3 vowels so the permutation would be 7 P 3.
