Answer:
Option B.
{–9 + i√225 / 24, –9 – i√225 / 24}
Step-by-step explanation:
12a² + 9a + 7 = 0
Using formula method, the solutions to the equation can be obtained as follow:
Coefficient of a² (a) = 12
Coefficient of a (b) = 9
Constant (c) = 7
a = –b ±√(b² – 4ac) / 2a
a = –9 ±√(9² – 4 × 12 × 7) / 2 × 12
a = –9 ±√(81 – 336) / 24
a = –9 ±√(– 225) / 24
Recall
–225 = –1 × 225
Thus,
–9 ±√(– 225) / 24 = –9 ±√(–1 × 225)/24
Recall
√(–1 × 225) = √–1 × √225 = i√225
Thus,
–9 ±√(–1 × 225)/24 = –9 ± i√225/24
Therefore,
a = –9 ± i√225/24
a = –9 + i√225 / 24 or –9 – i√225 / 24
Therefore, the solutions to the equation are:
{–9 + i√225 / 24, –9 – i√225 / 24}
Answer:
342.85714 %
Step-by-step explanation:
Percentage increase is given by
increase= (new - original)/ original * 100 %
The new is 186 and the original is 42
= (186 - 42)/ 42 * 100 %
=144/42* 100 %
=3.42857 * 100%
=342.85714 %
Answer:
0.0003
Step-by-step explanation:
Mean=μ=8.21
Standard deviation=σ=2.14
We have to find P(3 randomly monitored call completed in 4 min or less).
P(Xbar≤4)=?
μxbar=μ=8.21
σxbar=σ/√n=2.14/√3=1.2355
Z-score associated with xbar=4
Z=[Xbar-μxbar]/σxbar
Z=[4-8.21]/1.2355
Z=-4.21/1.2355
Z=-3.4075
P(Xbar≤4)=P(Z≤-3.41)
P(Xbar≤4)=P(-∞<Z<0)-P(0<Z<-3.41)
P(Xbar≤4)=0.5-0.4997
P(Xbar≤4)=0.0003
Thus, the probability that three randomly monitored calls will each be completed in 4 minutes or less is 0.0003.
Answer:
19.47°
Step-by-step explanation:
2 = opposite to A
6 = hypotenus
From trigonometry :
Sin A = opposite / hypotenus
Sin A = 2 / 6
Sin A = 1/3
A = sin^-1(1/3)
A = 19.47°
Answer:
30=3x
so divide 30 by 3 and you'll get x