Answer:
(a) 896
(b) 1000
(c) 910
Step-by-step explanation:
Number of women = 8
Number of men = 6
A committee consisting of 3 men and 3 women is to be formed.
(a) 2 of the men refuse to serve together.
Number of men who don't want to serve together = 2
Remaining men = 4
Total ways = Both men who don't want to serve together are not selected + only one of them is selected.
(b) 2 of the women refuse to serve together.
Number of women who don't want to serve together = 2
Remaining men = 6
Total ways = Both women who don't want to serve together are not selected + only one of them is selected.
(c)1 man and 1 woman refuse to serve together.
Ways = Total ways - Both man and woman are select who refuse the serve together
Answer:
a) 1.28
b) 2.57*10^-7 mg²
c) 8.14*10^7 dm
d) 3.79 m/s
e) 9.78*10^-3 mg
Step-by-step explanation:
a) 7.31 / 5.7 = 1.28, km/km is the same unit, so they cancel each other out. The answer is 1.28 without unit.
b) (3.26*10^-3) * (7.88*10^-5) = 2.57*10^-7 mg², here, mg * mg, this is mg²
c) (4.02*10^6) + (7.74*10^7) = 8.14*10^7 dm, here, the unit are added together, so we maintain it
d) (7.8 - 0.34) m / (1.15 + 0.82) m = 7.46 m / 1.97 m = 3.79 m/s, here, the numerator has the unit of m, and the denominator has the unit of s. Giving us m/s.
e) (9.88*10^-3) - (9.66*10^-5) = 9.78*10^-3 mg. Here, the unit was subtracted from each other, so we maintain it.
4. 66
5. 48
6. 60
7. 108
8. 60
Answer/Step-by-step explanation:
1. <B is an inscribed angle in a circle which intercepts arc AC.
Therefore, m<B = ½ of m<AC
B = ½ * 128° = 64°
x = 180 - (64 + 43)
x = 180 - 107 = 73°
2. The circle given shows two chords intersecting at point H.
According to intersecting chords theorem, the products of the segments formed by one chord equals the product of the segments formed by the other.
Therefore,
Solve for x
Divide both sides by 10
Answer: y=17-5x/-9
Step-by-step explanation: 5x-9y=17
-9y=17-5x
Y=17-5x/-9
You can’t go any further than that because you can’t combine unlike Terms on the right side of the equation.
