Answer:
1. P(5 U 6) =2/3
2. P(2 U 5 U 6) = 5/6
3. P(1 U 2) = 1/3
4. P(4) = 0
Step-by-step explanation:
As the number cube has 6 sides,
So,
Total outcomes = {1,2,5,5,6,6}
n(S) = 6
Now,
1. P(5U6) = P(5) + P(6)
P(5)=2/6=1/3
P(6)=2/6=1/3
P(5U6)= 1/3 + 1/3 = 2/3
2. P(2 U 5 U 6) = P(2) + P(5) + P(6)
P(2)=1/6
P(5)=2/6
P(6)=2/6
P(2 U 5 U 6) = 1/6 + 2/6 + 2/6
= 5/6
3. P(1 U 2) = P(1) + P(2)
P(1) = 1/6
P(2)= 1/6
P(1 U 2) = 1/6 + 1/6
= 2/6 = 1/3
4. P(4) = 0
As 4 is not in the outcomes, it's probability will be zero ..
Explication étape par étape:
Compte tenu des expressions ';
A = 4 (x + 5) -8
B = x² + 15
Nous devons vérifier si A = B pour les deux valeurs de x à x = 1 et x = 3
à quand x = 1
A = 4 (1 + 5) -8
A = 4 (6) - 8
A = 24-8
A = 16
B = x² + 15
B = 1² + 15
B = 1 + 15
B = 16
Donc à quand x = 1, A = B = 16
quand x = 3
A = 4 (x + 5) -8
A = 4 (3 + 5) -8
A = 4 (8) - 8
A = 32-8
A = 24
B = 3² + 15
B = 9 + 15
B = 24
Également lorsque x = 3, A = B = 24
Cela montre que le postulat d'Emmas est juste.
65 x 3 = 195
400 x 2 = 800
195 + 800 = 995 miles
Alicia traveled 995 to get to her destination.
So you would act like it was an equal sign and solve it like normal. Subtract 45 from both sides. Get 14"="2x. Divide by 2 and get 7 >x. If you were to multiply or divide by a negative than you would flip the sign, but you leave it in this case because you divided by a positive. I hope that helps.
The volume of half a cylinder is given by:
V = (1/2) * (pi) * (r ^ 2) * (L)
Where,
r : cylinder radius
L: cylinder length.
Substituting values we have:
V = (1/2) * (3.14) * ((12.5 / 2) ^ 2) * (30)
V = 1839.84375
Rounding off we have:
V = 1840 in ^ 3
Answer:
jamie needs to buy 1840 in ^ 3 of dirt to fill the planter