50% is exactly half, so to find half of something you just divide it by 2= 7.5
Or you could multiply it
15 x 0.50=7.5
Answer: x = 1/2, y = 4
Step-by-Step Explanation:
Lets solve it using Substitution Method :-
=> 2x + 3y = 13 (Eq. 1)
=> 4x - y = - 2 (Eq. 2)
From Eq. 2 :-
=> 4x - y = - 2
= - y = - 2 - 4x
=> y = 4x + 2 (Eq. 3)
Substitute value of ‘y’ in Eq. 1 :-
=> 2x + 3y = 13
= 2x + 3(4x + 2) = 13
= 2x + 12x + 6 = 13
= 14x = 13 - 6 = 7
=> x = 7/14 = 1/2
Substitute value of ‘x’ in Eq. 3 :-
=> y = 4x + 2
= y = 4(1/2) + 2
= y = 4/2 + 2
=> y = 2 + 2 = 4
Therefore; x = 1/2, y = 4
Answer: 0.0668
Step-by-step explanation:
Given the following :
Mean (m) Cost = RS385
Standard deviation (s) = RS110
Assume a normal distribution, Probability that domestic airfare is RS550 or more?
P(x > 550)
Find the z - score
Z - score = (x - m) / s
Where x = 550
Z = (550 - 385) / 110
Z = 165 / 110 = 1.5
P(Z > 1.5) = 1 - P(Z ≤1.5)
Using the z table : 1.5 = 0.9332
Therefore,
1 - P(Z ≤1.5) = 1 - 0.9332 = 0.0668
P(x > 550) = 0.0668
Answer:
<h2>
cos (α + β) = 0.9196</h2>
Step-by-step explanation:
Given sin α = –4∕5 and sin β = 1∕2
To get α from sin α = –4∕5,
α = arcsin(-4/5)
α = arcsin (-0.8)
α = -53.13°
If angle α is in quadrant III, then α = 180+53.13 = 233.13° (sin is negative in the 3rd quadrant)
Similarly for sin β = 1∕2
β = arcsin(1/2)
β = arcsin(0.5)
β = 30°
Since β is in quadrant II, β = 180-30 = 150°
To find cos (α + β). where α = 233.13° and β = 30°
cos (α + β)= cos (233.13 + 150)
= cos 383.13°
cos (α + β) = 0.9196
0.42 C * 32.14kj/1 = 13.499 KJ . . .rounded to 13.5
5g NH3 * 1 mol NH3/17 g NH3 = 0.294 mol NH3
kJ/mol = 13.5 kJ/0.294 = 45.9 kJ/Mol
hope this helps
