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BARSIC [14]
2 years ago
8

A tire company produced a batch of 5 comma 900 tires that includes exactly 260 that are defective. a. If 4 tires are randomly se

lected for installation on a​ car, what is the probability that they are all​ good? b. If 100 tires are randomly selected for shipment to an​ outlet, what is the probability that they are all​ good? Should this outlet plan to deal with defective tires returned by​ consumers?
Mathematics
1 answer:
Citrus2011 [14]2 years ago
7 0
The answer is 12 I promise
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Giving 100 points.
Nitella [24]

Answer:

1.   <u>Cost per customer</u>:  10 + x

     <u>Average number of customers</u>:  16 - 2x

\textsf{2.} \quad  -2x^2-4x+160\geq 130

3.    $10, $11, $12 and $13

Step-by-step explanation:

<u>Given information</u>:

  • $10 = cost of buffet per customer
  • 16 customers choose the buffet per hour
  • Every $1 increase in the cost of the buffet = loss of 2 customers per hour
  • $130 = minimum revenue needed per hour

Let x = the number of $1 increases in the cost of the buffet

<u>Part 1</u>

<u></u>

<u>Cost per customer</u>:  10 + x

<u>Average number of customers</u>:  16 - 2x

<u>Part 2</u>

The cost per customer multiplied by the number of customers needs to be <u>at least</u> $130.  Therefore, we can use the expressions found in part 1 to write the <u>inequality</u>:

(10 + x)(16 - 2x)\geq  130

\implies 160-20x+16x-2x^2\geq 130

\implies -2x^2-4x+160\geq 130

<u>Part 3</u>

To determine the possible buffet prices that Noah could charge and still maintain the restaurant owner's revenue requirements, solve the inequality:

\implies -2x^2-4x+160\geq 130

\implies -2x^2-4x+30\geq 0

\implies -2(x^2+2x-15)\geq 0

\implies x^2+2x-15\leq  0

\implies (x-3)(x+5)\leq  0

Find the roots by equating to zero:

\implies (x-3)(x+5)=0

x-3=0 \implies x=3

x+5=0 \implies x=-5

Therefore, the roots are x = 3 and x = -5.

<u>Test the roots</u> by choosing a value between the roots and substituting it into the original inequality:

\textsf{At }x=2: \quad -2(2)^2-4(2)+160=144

As 144 ≥ 130, the <u>solution</u> to the inequality is <u>between the roots</u>:  

-5 ≤ x ≤ 3

To find the range of possible buffet prices Noah could charge and still maintain a minimum revenue of $130, substitute x = 0 and x = 3 into the expression for "cost per customer.  

[Please note that we cannot use the negative values of the possible values of x since the question only tells us information about the change in average customers per hour considering an <em>increase </em>in cost.  It does not confirm that if the cost is reduced (less than $10) the number of customers <em>increases </em>per hour.]

<u>Cost per customer</u>:  

x =0 \implies 10 + 0=\$10

x=3 \implies 10+3=\$13

Therefore, the possible buffet prices Noah could charge are:

$10, $11, $12 and $13.

8 0
1 year ago
A. Adjacent angles <br> B. Complementary angles <br> C. Supplementary angles <br> D. Vertical angles
DaniilM [7]

what is question picture wont show

4 0
3 years ago
Victoria and Georgetown are 36.2 mi from each other. How far apart would the cities be on a map that has a scale of 0.9 in 10.5
damaskus [11]

Answer:0.9 * (36.2/10.5) = 3.1 in

Step-by-step explanation:

I got an A <3

7 0
2 years ago
Anyone know the answer?
yan [13]

Answer:

0.

Step-by-step explanation:

The angle whose sine is 5/12 = 22.62 degrees and in Quadrant II it is

180 - 22.62 degrees

The angle whose tan is (5/12)  = 22.62.

So we can write  α as 180 - α  and β as α.

sin (α+β) = sin ( 180 - α = α) = sin 180

= 0.

7 0
3 years ago
Please help I've been trying so many times
Annette [7]

Answer:

A. -2, 1

Step-by-step explanation:

Observe the chart and see where the f(x) and g(x) intersect.

When x=-2, f(-2)=g=(-2) and when x=1, f(1)=g=(1).

7 0
2 years ago
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