Two equilateral triangles, but one has sides measuring 3 cm, while the other measures 6 cm. The figures are similar, but not congruent
Answer:
1/10,737,573
Step-by-step explanation:
The number of possible outcome is
47 combination 6
nCr=n!/(n-r)!r!
Then,
47C6 = 47!/(47-6)!6!
47C6=47!/41!6!
47C6=47×46×45×44×43×42×41!/41!6×5×4×3×2×1
47C6=47×46×45×44×43×42×/720
47C6=10737573
This the sample space of groups 6 numbers.
So to win a jackpot, you need to pick one of the possible outcome
P(winning jackpot)= 1/10,737,573
Wow, this result shows that it is not easy to win a jackpot from lottery games, it is on rare occasions to have the combine 6 numbers.
Time = 3 miles / (20 mph - wind velocity)
time = 2 miles / (20 mph + wind velocity)
3 miles / (20 mph + wind velocity) = 2 miles / (20 mph - wind velocity)
3/2 = (20 mph + wind velocity) / (20 mph - wind velocity)
1.5 = (20 mph + wv) / (20 mph -wv)
30 mph -1.5wv = 20 mph -wv
10 mph = 2.5 wv
wind velocity = 4 mph
Answer:
2.897
Step-by-step explanation:
Let us find the mean and variance for the sample first.
105 104 110 112
114 106 108 109
Mean = sum/8 = 108.5
Variance = 12
Std dev = sq rt of variance = 3.464
Std error = std dev/ sq rt n
since n =8, we get std error = 1.225
Since sample size is small, df =8-1 =7
For 95% confidence intervals, t critical value for two tailed=2.365
Margin of error = std error x t critical = 1.225(2.365)
=2.897
Answer:To find out the Area of a scalene triangle whose three sides are given, first find out the half perimeter
s = (a+b+c)/2
where a, b, and c are the length of the three sides of a triangle
s = (35 + 45 + 50) / 2
= 130 / 2
= 65 cm
Area of scalene triangle is given by
A = sqrt (s (s - a) (s - b) (s - c))
= sqrt (65 * (65 - 35) ( 65 - 45) (65 - 50))
= sqrt (65 * 30 * 20 * 15)
= sqrt (585000)
= 764.853 sq cm
Step-by-step explanation:
