Ratio between 80% and 20%

The probability that a graduate of the Faculty of Finance will defend the diploma “excellent” is 0.6. The probability that he wi

Karolina [17]

The probability that he receives an invitation to work in a bank given that he defends his diploma excellently is $\mathbf{0. \overline 6}$

The known parameters are;

The probability that a graduate of the Faculty of Finance will defend the diploma excellently, P(A) = 0.6

The probability that he will defend perfectly and receive an invitation to work at a bank, P(A∩B) = 0.4

The unknown parameter is;

The probability that the student will receive an invitation from the bank given that the student defend the diploma excellent, $\mathbf {P(B \ | \ A)}$

The process

$\mathbf{ P(B \ | \ A)}$ is found using the conditional probability formula as follows;

$\mathbf {P(B \ | \ A) = \dfrac{P(A \cap B) }{P(A)}}$

Plugging in the values, we get;

$P(B \ | \ A) = \dfrac{0.4 }{0.6} = \dfrac{2}{3} = 0. \overline 6$

The probability that the student will receive an invitation from the bank given that the student defend the diploma excellent, $P(B \ | \ A)$ = $\mathbf {0. \overline 6}$

Learn more about conditional probability here;

brainly.com/question/10567654

6 0

3 years ago

Los 75 postulantes que fueron aceptados tuvieron notas desde 16 hasta a 20. Si el grupo se hubiera desempeñado de modo homogéneo

joja [24]

Answer:

Tenemos 75 postulantes, y sus notas están en el rango desde 16 hasta 20.

1) si el grupo es homogéneo y todos tienen la misma nota, entonces todos van a tener la nota media en el rango (16, 20)

Para encontrar esta nota calculamos la suma entre ambos extremos y lo dividimos por 2.

Media = (16 + 20)/2 = 36/2 = 18

La nota sería 18.

2) entre 16 y 20 tenemos:

16, 17, 18, 19 y 20

tenemos 5 notas distintas, entonces si agrupamos a los estudiantes por nota, tendríamos 5 grupos.

3) En una distribución normal, el grupo mas grande debería coincidir con la media del intervalo. Ya sabemos que la media es 18, entonces es esperable que la nota del grupo mas grande sea 18.

4) Si los estudiantes se ordenan en fila según notas tendríamos:

Fila con nota 16

fila con nota 17

fila con nota 18

fila con nota 19

fila con nota 20

Podemos ver que la fila del medio es el grupo con nota de 18

6 0

3 years ago

The interior angles of a triangle are 60,45and 75.the shortest side is 10cm less than the longest side, determine the perimeter

masha68 [24]

Answer:

Step-by-step explanation:

We know that the permiter is defined as

$P=L+S+M$

Where $L$ is the longest side, $S$ is the smallest and $M$ is the middle side.

If $L=x$ then, $S=x-20$ , where we need to find an expression for $M$ using the law of cosines.

$M^{2} =L^{2}+S^{2}-2 \times L \times S \times cos(60\°)\\M=\sqrt{x^{2}+(x-20)^{2}-x(x-20)}\\M=\sqrt{x^{2} +x^{2}-40x+400-x^{2}+20x}=\sqrt{x^{2}-20x+400}$

Replacing all expression, the perimeter is

$P=x+x-20+\sqrt{x^{2}-20x+400}\\P=2x-20+\sqrt{x^{2}-20x+400}$

Using a calculator, the perimeter is 20 units centimeters.

7 0

3 years ago

Can someone help me?

a_sh-v [17]

Answer:

f^-1 (x) = - 6x-1 / 10 + 9x

8 0

3 years ago

Factor the following polynomial completely.

stiv31 [10]

Answer:

10x^2 (x+2) (x+6)

Step-by-step explanation:

assuming you meant 120 not 1120

10x^4+ 80x^3 + 120x^2

factor out 10 x^2

10x^2 (x^2 +8x+12)

what numbers multiply together to get 12 and add together to get 8

2*6 = 12 2+6 = 8

10x^2 (x+2) (x+6)

B and D are the same answer?????

3 0

3 years ago