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artcher [175]
3 years ago
13

A quality control inspector samples 2 computer chips from a box containing 13 computer chips. If the box contains 3 defective ch

ips, in how many ways can he select a sample so that at least one of the chips is defective?
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
5 0

Answer:

The number of ways to select a sample of 2 computer chips so that at least one of the chips is defective is 33 ways.

Step-by-step explanation:

The box contains 13 computer chips. Of these 13 chips 3 are defective and 10 are good.

A quality control inspector samples 2 computer chips.

The number of ways to select at least 1 defective chip is:

n (At least 1 defective chip) = n (1 defective chip) + n (2 defective chips)

The number of ways to select 1 defective chip is: {3\choose 1}{10\choose 1}=3\times10=30 ways.

The number of ways to select 2 defective chips is:{3\choose 2}{10\choose 0}=3\times1=3 ways.

n (At least 1 defective chip) = n (1 defective chip) + n (2 defective chips)

                                             = 30 + 3

                                             = 33

Thus, the number of ways to select a sample of 2 computer chips so that at least one of the chips is defective is 33 ways.

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4k – 6 = -2k – 16 – 2 for k
Contact [7]
<span>4k – 6 = -2k – 16 – 2
</span>4k+2k =  – 16 – 2+6
6k=-12
k=-2
Hope this helps
5 0
3 years ago
Which of these triangle pairs can be mapped to each other using two reflections?
UkoKoshka [18]

Answer: The correct option is figure (1).

Explanation:

Reason for correct option:

The figure (1) shows the reflection across the side XY followed by reflection across the side YT.

When we reflect the triangle XYZ across the side XY we get the triangle XYT as shown in below figure.

After that we reflect the triangle XYT across the side YT and we get the triangle PYT.

Therefore, only figure 1 shows the triangle pairs can be mapped to each other using two reflections.

Reason for incorrect options:

The figure (2) shows the rotation of 180 degree along the point y.

The figure (3) shows the reflection across the side XY followed by the translation.

The figure (4) shows the reflection, followed by rotation , followed by translation.

8 0
3 years ago
Read 2 more answers
The sum of 2 consecutive odd integers is 92. Find the numbers.
padilas [110]

Answer:

  45, 47

Step-by-step explanation:

Their average, 92/2 = 46, is the even integer between them. The two integers of interest are 45 and 47.

___

Any consecutive integers of the same parity (odd or even) differ by 2. If x is the smaller, then x+2 is the larger.

We suppose you're supposed to write the equation ...

  x + (x+2) = 92

  2x = 90 . . . . . . subtract 2

  x = 45 . . . . . . . .the smaller integer is 45; the larger one is x+2 = 47.

6 0
3 years ago
Read 2 more answers
A rectangle field has an area of 1764 m^2. The width of the field is 13m more than the length. What is the perimeter of the fiel
mr_godi [17]

Answer:

Step-by-step explanation:

hello :

let y the length and  x the  width

A  the area and  P the perimeter

so : A= xy and P  = 2(x+y) ....y > x and x >0  ; y>0

xy = 1764 ...(1)

y = x +13....(2)  put this value in (1) : x (x+13) = 1764

x²+13x -1764 = 0   ...quadratic equation

calculate : Δ = b² -4ac   a =1  and  b =13  and

c = -1764

Δ = (13)² - 4(1)(-1764) = 169 +7056 = 7225=85²

X1 =(-b-√Δ)/2a =(-13-85)/2 < 0 refused  (x  >0)

X2 =(-b+√Δ)/2a =(-13+85)/2  = 72/2 = 36

so : x= 36  put this value in (2) : y = 36+13 = 49

the perimeter is : P  = 2(x+y)

                            P  = 2(36+49) = 170 m

6 0
3 years ago
Solve for m y-y=m(x-x)
spin [16.1K]

Answer:

m = y/x

Step-by-step explanation:

y-y = m(x-x)

simplify:

-2y = m(-2x)

simplify again

-2y = -2mx

divide to get rid of -2 and x

-2y = -2mx

----------------

-2x

y

-  = m

x

8 0
3 years ago
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