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3 years ago

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A manufacturer knows that 9% of the products it produces are defective. Find the probability that among 6 randomly selected prod

ucts, at least one of them is defective.

1 answer:

Advocard [28]3 years ago

3 0

Answer:1%

Step-by-step explanation:

You might be interested in

Let k(w)= w+3/w+9. Find k^-1(-4)

DENIUS [597]

Answer:

$\displaystyle k^{-1} (-4) = -\frac{39}{5}$

Step-by-step explanation:

We are given the function:

$\displaystyle k(w) = \frac{w + 3}{w + 9}$

And we want to find k⁻¹(-4).

Recall that by the definition of inverse functions:

$\displaystyle \text{If } f(a) = b, \text{ then } f^{-1}(b) = a$

Let k⁻¹(-4) = <em>x, </em>where <em>x</em> is an unknown value. Then by definition, k(x) must equal -4.

So:

$\displaystyle k(x) = \frac{x+3}{x+9} = -4$

Solve for <em>x: </em>

$\displaystyle \begin{aligned} \frac{x+3}{x+9} &= -4 \\ \\ x+3 &= -4(x+9) \\ \\ x+3 &= -4x - 36 \\ \\ x &= -\frac{39}{5} \end{aligned}$

Hence, k(-39/5) = -4. By definition of inverse functions, then, k⁻¹(-4) = -39/5.

3 0

3 years ago

The radar beam sent out by an aeroplane reaches a distance of 120 kilometres and covers an angle of 150 degrees calculate the ar

Artemon [7]

Good luck and hope this helps

3 0

2 years ago

Point S is located on RT so that RS/ST = 1/4. What are the coordinates of Point S? (4 , 4 ) (2.4, 2.4) (8 , 8 ) (4.4, 4.4)

valina [46]

Answer:

(4.4, 4.4)

Step-by-step explanation:

The point S can be found as the weighted average of the end points. The relative weights are the reverse of the distances to the end points:

RS : ST = 1 : 4

S = (4R +1T)/5

S = (4(2, 2) +(14, 14))/5 = (22, 22)/5

S = (4.4, 4.4)

6 0

3 years ago

Which number line shows the solution set for |p-3|=9?

Mademuasel [1]

Answer:

Option b

$p = -6$ or $p = 12$

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function $f(x) = |x|$ x> 0 for all real numbers.

Then the equation:

$|p-3| = 9$ has two cases

$(p-3) = 9$ if $h > 3$ (i)

$-(p-3) = 9$ if $h < 3$ (ii)

We solve the case (i)

$p = 9 + 3\\p = 12$

We solve the case (ii)

$-p +3 = 9\\p = 3-9\\p = -6$

Then the solution is:

$p = -6$ or $p = 12$

3 0

3 years ago

A padlock has the digits 0 through 9 arranged in a circle on its face. A combination for 0 1 2 3 4 6 5 7 8 9 this padlock is fou

stepan [7]

Answer:

The total numbers of possible combinations are 3430.

Step-by-step explanation:

Consider the provided information.

A combination for 0 1 2 3 4 6 5 7 8 9 this padlock is four digits long. Because of the internal mechanics of the lock, no pair of consecutive numbers in the combination can be the same or one place apart on the face.

Here, for the first digit we have 10 choices.

For the second digit we have 7 choices, as the digit can't be the same nor adjacent to the first digit.

For the third digit we have 7 choices, as the digit can't be the same nor adjacent to the second digit.

For the fourth digit we have 7 choices, as the digit can't be the same nor adjacent to the third digit.

So the number of choices are:

$10\times 7\times 7\times 7=10\times 7^3\\10\times 343=3430$

Hence, the total numbers of possible combinations are 3430.

8 0

3 years ago