Answer:
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Step-by-step explanation:
Answer:
Probability of graduating this semester is 0.7344
Step-by-step explanation:
Given the data in the question;
let A represent passing STAT-314
B represent passing at least in MATH-272 or MATH-444
M1 represent passing in MATH-272
M2 represent passing in MATH-444
C represent passing GERMAN-32
now
P( A ) = 0.85, P( C ) = 90, P( M1 ) = P( M2 ) = 0.8
P( B ) = P( pass at least one of either MATH-272 or MATH-444 ) = P( pass in MATH-272 but not MATH-444 ) + ( pass in MATH-444 but not in MATH 272) + P( pass both )
P( B ) = P( M1 ) × ( 1 - P( M2 ) ) + ( 1 - P( M1 ) ) × P( M2 ) + P( M1 ) × P( M2 )
we substitute
⇒ 0.8×0.2 + 0.2×0.8 + 0.8×0.8 = 0.16 + 0.16 + 0.64 = 0.96
∴ the probability of graduating this semester will be;
⇒ P( A ) × P( B ) × P( C )
we substitute
⇒ 0.85 × 0.96 × 90
⇒ 0.7344
Probability of graduating this semester is 0.7344
1)
y = kx
-12 = k(9)
k = -4/3
y = (-4/3)(-4)
y = 16/3
2)
y = kx
8 = 20k
k = 2/5
y = (2/5)(10)
y = 4
3)
y= kx
-6 = k(-14)
k = 3/7
-4 = (3/7)x
-4(7/3) = x
x = -28/3
Answer:On January 7, 1755, Georgia officially ceased to be a proprietary colony and became a crown colony. From 1732 until 1758, the minor civil divisions were districts and towns. In 1758, without Indian permission, the Province of Georgia was divided into eight parishes by the Act of the Assembly of Georgia on March 15.
Step-by-step explanation:
Answer:
A partir del problemas vamos a crear una ecuación donde X es una docena de huevos y Y una libra de mantequilla
entonces: 4 docenas de huevos y 3 libras de mantequilla es igual a 14.100
en mi primera ecuación seria: 4X + 3Y = 14.100
ahora haremos la segunda ecuacion: tres docenas y 1 libra de mantequilla
en mi segunda ecuación seria: 3X + 1Y = 8.700 el plan es sumar las dos ecuaciones pero yo quiero que al sumarlas la variable "Y" desaparezca así que mi segunda ecuación la voy a multiplicar pór (-3) quedándome todo así:
primera ecuación: 4X + 3Y = 14.100
segunda ecuacion multiplicada por -3: -9X - 3Y = -26.1
al sumarlas obtengo como resultado: -5X = -12
resolviendo esa ecuacion obtengo que X=
X=2.4
luego reemplazas X en la primera ecuación: 4X + 3Y = 14.100
reemplazando seria: 4 x (2.4) + 3Y =14.100
9.6 + 3Y = 14.1000
3Y= 14.100 - 9.6
Y=
Y=1.5
entonces concluimos que la docena de huevos cuesta 2.4 $ y la libra de mantequilla 1.5 $
Step-by-step explanation: