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In a factory there are 100100 units of a certain product, 55 of which are defective. We pick three units from the 100 units at r

Nadya [2.5K]

Answer:

There is a 33.67% probability that exactly one of them is defective.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Here, we can have different formats. For example, D-ND-ND is the same as ND-D-ND, that is, the ordering is not important. So we use the combinations formula.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes

One defective(one from a set of 55) and two non defective(two from a set of 45). So

$D = C_{55,1}*C_{45,2} = \frac{55!}{54!1}*\frac{45!}{43!2!} = 55*45*22 = 54450$

Total outcomes

Three from a set of 100. So

$T = C_{100,3} = \frac{100!}{97!3!} = 161700$

What is the probability that exactly one of them is defective

$P = \frac{D}{T} = \frac{54450}{161700} = 0.3367$

There is a 33.67% probability that exactly one of them is defective.

4 0

3 years ago

Evaluate each expression: A.4(divided)1/3. B.3/8(divided)7/2 C. 3 1/2(divided)7/4

balandron [24]

Answer:

a: 12

b: 0.107

c: 2

8 0

3 years ago

A rectangle is divided into 15 identical squares arranged in three rows. What is the perimeter of the rectangle, in centimeters,

lozanna [386]

Answer:

48 cm

Step-by-step explanation:

Here, we are concerned with finding the perimeter of the rectangle.

Now, since the square has an area of 9 cm^2, it means that the squares has a side of 3 cm each since the area of a square is s^2

So now, there are 5 squares in a row, meaning in a straight stretch , left to right or right to left, there are 15 squares. So the total length here is 5 * 3 = 15 cm

Now, moving column-wise, from top to bottom, since we have 3 rows, what this means is that per column of the rows, there are 3 squares. So the total length here becomes 3 * 3 = 9 cm

So we have a rectangle 9cm by 15cm

The perimeter is thus 2(L + B) = 2(15 + 9) = 2(24) = 48 cm

6 0

3 years ago

To solve for y in the equations 2x + y = 5, subtract 2 from both sides of the equation true or false

antiseptic1488 [7]

Hey there!

Here is your answer:

The proper answer to this question is option B "false". 

Reason:

To solve for y in the equations 2x + y = 5, subtract 2 from both sides of the equation. This statement is false. In order to solve this you have to divide 2 on both sides.

Therefore the answer is option B.

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

3 0

3 years ago

What is the equation in standard form of a parabola that models the values in the table

shusha [124]

Answer:

Y=4x^2-3x+5

Step-by-step explanation:

For the standard form equation to model the values in the table, each value of x in the table should give the matching the y value when substituted into the equation. We will test each equation:

$Y=-4x^2+3x+5$ for (-1,12)