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Annette [7]
3 years ago
14

The probability that a given urine sample analyzed in a pathology lab contains protein is 0.73 (event A). The probability that t

he urine sample contains the protein albumin is 0.58 (event B). The probability that a sample contains protein, given that albumin is detected, is 1.
Which statement is true?
a. Events A and B are dependent because P(A|B) =P(A).
b. Events A and B are dependent because P(A| B) ≠ P(B).
c. Events A and B are dependent because P(A|B) = P(A) + P(B).
d. Events A and B are dependent because P(A| B)≠ P(A).
e.Events A and B are dependent because P(A|B) = P(A).
Mathematics
1 answer:
Ostrovityanka [42]3 years ago
3 0
The right answer for the question that is being asked and shown above is that: "e.Events A and B are dependent because P(A|B) = P(A)." The probability that a sample contains protein, given that albumin is detected, is 1. The statement that is true is this e<span>vents A and B are dependent because P(A|B) = P(A).</span>
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En el estante de un negocio hay 2 tipos de tarros de la misma mermelada y marca. El tarro más alto tiene el doble de altura que
Ipatiy [6.2K]

Answer:

tarro corto

Step-by-step explanation:

Aquí tenemos que comprar el frasco que tiene el menor costo por volumen.

h_1 = Altura del frasco corto

h_2 = La altura del frasco alto es el doble que el del frasco corto. = 2h_1

d_1 = Diámetro del frasco corto

d_2 = El diámetro del frasco alto es la mitad del frasco corto = \dfrac{1}{2}d_1

El volumen de un cilindro es \pi \dfrac{d^2}{4}h

La razón de los volúmenes de los frascos es

\dfrac{V_1}{V_2}=\dfrac{\pi\dfrac{d_1^2}{4}h_1}{\pi\dfrac{d_2^2}{4}h_2}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{d_2^2h_2}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{(\dfrac{1}{2}d_1)^22h_1}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{\dfrac{1}{4}d_1^22h_1}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{1}{\dfrac{1}{2}}\\\Rightarrow \dfrac{V_1}{V_2}=2\\\Rightarrow V_1=2V_2

El costo del frasco corto por unidad de volumen es

\dfrac{8000}{V_1}=\dfrac{8000}{2V_2}=\dfrac{4000}{V_2}

El costo del frasco alto por unidad de volumen es

\dfrac{4500}{V_2}=\dfrac{4500}{V_2}

\dfrac{4000}{V_2}

Entonces, el costo del frasco corto por unidad de volumen es menor que el costo por unidad de volumen del frasco alto.

Por lo tanto, deberíamos tomar el frasco corto.

5 0
3 years ago
3(x+3)+3x=15<br><br> Solution and check<br><br> Shown in attachment below
OLga [1]
3x + 9 + 3x =15
6x + 9 = 15
- 9 = -9
6x = 6
/6 /6

X =1
6 0
3 years ago
Given the points (3, 2) and (6, 4), which of the following are true about the line passing through these points? The line has a
Ad libitum [116K]

Answer:

The slope is 2/3 and the function is y=2/3x  which is a direct variation function.

Step-by-step explanation:

To find the slope of a line between two points, we use the equation

m = (y2-y1)/ (x2-x1)

where (x1,y1) and (x2,y2) are the two points

m= (4-2)/(6-3)

  = 2/3

The slope of the line is 2/3

The equation of the line is

y-y1 = m(x-x1)

y-2 = 2/3(x-3)

Distribute

y-2 = 2/3x -2

Add 2 to each side

y-2+2 = 2/3x -2+2

y = 2/3x

This is a direct variation function

Let x = -6

y = 2/3(-6)

y = -4

(-6,-4)

3 0
3 years ago
Simplify (7^5)^3<br> A. 7^15<br> B. 35^3<br> C. 7^8<br> D. (1/7)^3
Olegator [25]

Answer:

7^15

Step-by-step explanation:

7^5^3 = 7^(5*3) = 7^15

3 0
1 year ago
Show ALL your calculations.
Nesterboy [21]

Answer:

<DEB= 125 degrees

Step-by-step explanation:

To get this, you would need to know all 2 angles of the triangle.

To find the first angle, simply do 180-107 to get 73(because supplementary angles add up to 180 degrees).

Next, 180-52(given angle)-73 to get 55 because the 3 angles of a triangle add up to 180(triangle angle sum theory).

You would see that <DEB is part of another supplementary angle so, do 180-55 to get 125.

<DEB=125 degrees.

8 0
2 years ago
Read 2 more answers
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