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Papessa [141]
3 years ago
10

A company that produces fine crystal knows from experience that 15% of its goblets havecosmetic flaws, while the remaining 85% a

re flawless.(a) (8 points) If eight goblets are selected at random, what is the probability that exactly twohave flaws
Mathematics
1 answer:
Vinvika [58]3 years ago
6 0

Answer:

The probability that exactly two have flaws is P (x=2) = 0.2376

Step-by-step explanation:

Here

Success= p= 0.15

Failure = q= 0.85

total number= n= 8

Number chosen = x= 2

Applying the binomial distribution

P (x=x) = nCx p^x(q)^n-x

P (x=2) = 8C2 0.15 ²(0.85)^8

P (x=2) = 0.2376

The success is chosen about which we want to find the probability. Here we want to find the probability that exactly two have flaws so success would be having flaws therefore p = 0.15

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It's a polynomial of degree 2. Every polynomial of degree 2 is a parabola

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3 years ago
Please answer the question
Liono4ka [1.6K]

Answer: 21

Step-by-step explanation:

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2 years ago
A rectangular swimming pool is twice as long as it is wide. A small concrete walkway surrounds the pool. The walkway is a 2 feet
Ksivusya [100]

Answer:

The width and the length of the pool are 12 ft and 24 ft respectively.

Step-by-step explanation:

The length (L) of the rectangular swimming pool is twice its wide (W):

L_{1} = 2W_{1}

Also, the area of the walkway of 2 feet wide is 448:

W_{2} = 2 ft

A_{T} = W_{2}*L_{2} = 448 ft^{2}

Where 1 is for the swimming pool (lower rectangle) and 2 is for the walkway more the pool (bigger rectangle).

The total area is related to the pool area and the walkway area as follows:

A_{T} = A_{1} + A_{w}    (1)          

The area of the pool is given by:

A_{1} = L_{1}*W_{1}        

A_{1} = (2W_{1})*W_{1} = 2W_{1}^{2}  (2)          

And the area of the walkway is:

A_{w} = 2(L_{2}*2 + W_{1}*2) = 4L_{2} + 4W_{1}    (3)          

Where the length of the bigger rectangle is related to the lower rectangle as follows:                  

L_{2} = 4 + L_{1} = 4 + 2W_{1}   (4)        

By entering equations (4), (3), and (2) into equation (1) we have:

A_{T} = A_{1} + A_{w}

A_{T} = 2W_{1}^{2} + 4L_{2} + 4W_{1}                

448 = 2W_{1}^{2} + 4(4 + 2W_{1}) + 4W_{1}            

224 = W_{1}^{2} + 8 + 4W_{1} + 2W_{1}

224 = W_{1}^{2} + 8 + 6W_{1}

By solving the above quadratic equation we have:

W₁ = 12 ft

Hence, the width of the pool is 12 feet, and the length is:

L_{1} = 2W_{1} = 2*12 ft = 24 ft

Therefore, the width and the length of the pool are 12 ft and 24 ft respectively.

I hope it helps you!                                                                                          

8 0
3 years ago
Please help!!! Will mark brainliest answer if correct!!!! 
AlekseyPX

Answer:

x=4 and y=2

Step-by-step explanation:

Name the triangles as ABC and DEF,

Now, since both the triangles are congruent by HL rule, therefore

3y=x+2                      (1)

and x=y+2                (2)

Substituting the value of  x=y+2  in equation (1), we get

3y=y+2+2

2y=4

y=2

Therefore, Putting y=2 in equation (2),

x=4

6 0
3 years ago
A particular strain of a common bacteria replicates itself every 14 minutes. Which of the following does this situation represen
Pepsi [2]

Answer:

D-both a relation and a function

Step-by-step explanation:

4 0
3 years ago
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