Three fourths divided by one eighths
1 answer:
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Check the first picture below.
for a parallelogram, it has to have two pairs of parallel sides, so BC || AD and AB || CD.
if two lines are parallel, they have the same slope, namely the <u>same rise and run</u>.
notice, the line BC has a run of 6 and a rise of 1, <u>arrows in red</u>, therefore, AD must also have a run of 6 and a rise of 1, so if we move from A 6 units over and 1 up, we'd end up at point D.
now, for part atop
Check the 2nd picture, in a parallelogram, opposite sides are parallel and opposite angles are equal, so if WLP is 144°, then PNW is also 144°.
in a parallelogram, diagonals bisect each other, so each cut the other in halves, so if PM is 9 then MW is also 9 and thus PW is just 9+9=18.
now, about QRST.
notice what we said about a parallelogram above, thus
so then TQ ==> 2(8) + 12 ==> 16 + 12 ==> 28.
∡Q ==> 8(12) + 13 ==> 96 + 13 ==> 109°.
and since in a parallelogram, adjacent interior angles add up to 180°, then ∡Q + ∡T = 180°.
∡T ==> 180 - 109 ==> 71°.
Answer:
a) P=0.2503
b) P=0.2759
c) P=0.3874
d) P=0.2051
Step-by-step explanation:
We have this information:
25% of American households have only dogs (one or more dogs)
15% of American households have only cats (one or more cats)
10% of American households have dogs and cats (one or more of each)
50% of American households do not have any dogs or cats.
The sample is n=10
a) Probability that exactly 3 have only dogs (p=0.25)
b) Probability that exactly 2 has only cats (p=0.15)
c) Probability that exactly 1 has cats and dogs (p=0.1)
d) Probability that exactly 4 has neither cats or dogs (p=0.5)