Answer:
C. Events E and A are independent
Step-by-step explanation:
we will verify each options
(a)
We can use independent events formula
P(B∩C)=P(B)*P(C)
we are given
P(B)=0.4
P(C)=0.25
P(B∩C)=0.05
now, we can plug these values into formula
and we get
0.05=0.4*0.25
0.05=0.1
we can see that left side is not equal to right side
so, this is FALSE
(b)
We can use independent events formula
P(D∩A)=P(D)*P(A)
we are given
P(D)=0.25
P(A)=0.6
P(D∩A)=0.1
now, we can plug these values into formula
and we get
0.1=0.25*0.6
0.1=0.15
we can see that left side is not equal to right side
so, this is FALSE
(c)
We can use independent events formula
P(E∩A)=P(E)*P(A)
we are given
P(E)=0.5
P(A)=0.6
P(E∩A)=0.3
now, we can plug these values into formula
and we get
0.3=0.5*0.6
0.3=0.3
we can see that both sides are equal
so, this is TRUE
(d)
We can use independent events formula
P(D∩B)=P(D)*P(B)
we are given
P(D)=0.25
P(B)=0.4
P(D∩A)=0.15
now, we can plug these values into formula
and we get
0.15=0.25*0.4
0.15=0.1
we can see that left side is not equal to right side
so, this is FALSE
Excluyendo el componente de ganancia del coste para el consumidor según (1), la impresora tuvo un coste de $ 211.111,11 para el vendedor.
<h3>¿Cómo encontrar el precio de una impresora sin ganancia?</h3>
En el enunciado tenemos el precio de una impresora para el consumidor, el cual comprende el dinero invertido por vendedor más la ganancia <em>esperada</em>. Este indicador observa la siguiente fórmula:
C' = C · (1 + r/100) (1)
Donde:
- C - Coste asumido por el vendedor, en unidades monetarias.
- C' - Coste para el consumidor, en unidades monetarias.
- r - Tasa de ganancia, en porcentaje.
Si sabemos que C' = $ 285.000 y r = 35 %, entonces el coste asumido por el vendedor es:
285.000 = 1,35 · C'
C' ≈ 211.111,11
Excluyendo el componente de ganancia del coste para el consumidor según (1), la impresora tuvo un coste de $ 211.111,11 para el vendedor.
Para aprender más sobre ganancias: brainly.com/question/8421949
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Let d = Darlene's dog's weight
let l = Leah's dog's weight
d = 5l
d + l = 84
so, 5l + l = 84, which means 6l= 84
so, l = 84/6 = 14d = 5(14) = 70
<span>Darlene's dog = 70 lbs, Leah's dog = 14 lbs</span>
we have
(a+b)(3a-b)(2a+7b)
step 1
Solve
apply distributive property
(a+b)(3a-b)=3a^2-ab-3ab-b^2=3a^2-4ab-b^2
step 2
Multiply (3a^2-4ab-b^2) by (2a+7b)
6a^3+21a^2b-8a^2b-28ab^2-2ab^2-7b^3=6a^3+13a^2b-30ab^2-7b^3
answer is
<h2>6a^3+13a^2b-30ab^2-7b^3</h2>
Answer:
Step-by-step explanation:
Given that in testing the reliability of DNA results used in crime labs, the new procedure matched DNA results to suspects 46 out of 50 times.
i.e population proportion = 46/50 = 0.92
For 99% success rate
Here p the proportion follows normal distribution with mean = 0.92 and
Std error = 
Margin of error for 99% = ±2.58*0.038 = ±0.099
Confidence interval lower bound = 0.92-0.099 = 0.8210
Upper bound = 0.92+0.0999 ~1
so Confidence interval - (0.821,1)
(p cannot exceed 1 so 1 is taken)
We are 99% sure the that this new DNA match procedure correctly identifies susspects between (0.821, 1)
since 99% confidence interval contians 1, there is evidence at the .01 level that this procedure will successfully match DNA results 99% of the time
