The area of a parallelogram is base times height.
We can find the height by deriving a right triangle from the 60 degree angle and the 6 cm hypotenuse
sin(60°) = opp/hyp = x/6
√3/2 = x/6 Multiply both sides by 6
3√3 = x
x = 3√3
The height is 3 √3
Area = base x height
Area = 3√3 * 8
Area = 24 √3 cm²
Answer is C) 24 √3 cm²
In general, the most probable distribution is in the ratio of the respective types, namely
Number of blue tails
=12*(53/(53+40))
=6.84
To check between 6 or 7, we use the hypergeometric distribution:
P(B=6)
=C(40,6)C(53,6)/(C(93,12)
=3838380*22957480/416579843773639
=0.211530
P(B=7)
=C(40,5)C(53,7)/(C(93,12)
=658008*154143080/416579843773639
=65563917120/269282381237
=0.243476
Hence the most probable number of blue tail fishes is 7
Note: it would be prudent to calculate P(B=8)=0.194443 to show that P(B=7) is indeed the highest value.
Answer:For B I have 42 minutes.
Step-by-step explanation:
First 4 people x 8 minutes per person = 32.
Plus the additional 10 minutes = 42 minutes
Line a and b are parallel
Answer:
Step-by-step explanation:
The formula to find the midpoint of a segment is
and we have the midpoint and we also have a coordinate of (5, 4). Let's let x₁ = 5 and y₁ = 4. Filling in what we have:
and we'll deal with the x terms first. The x coordinate of the midpoint is 2, so:
and multiply both sides by 2 to get rid of the denominator to get:
4 = 5 + x₂ so
x₂ = -1. Going on to the y coordinate. The y coordinate of the midpoint is 1, so:
and again multiply both sides by 2 to get rid of the denominator to get:
2 = 4 + y₂ so
y₂ = -2
The coordinates of T are (-1, -2)