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Komok [63]
3 years ago
13

Mr. Ferret loves fresh, juicy, organic mole meat from Mole Foods grocery store. But his ability to purchase this tasty delicacy

depends upon how much Mole Foods is currently charging per pound. The more Mole Foods charges, the less mole meat Mr. Ferret will buy. Use the ‑intercept equation to plot a line representing Mr. Ferret's demand curve.y =−2x+8

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
8 0

Answer:

It has a negative slope = -2

Step-by-step explanation:

Let y be the price and x be the quantity purchased . Then putting the value of x in the equation we can find the price= y

where  y = −2x+8

x      0       1         2         3         4         5         6        7

y      8       6        4         2         0        -2         -4       -6

So we can plot the demand curve which has a negative slope.

We see from the values above that the slope is negative having a value equal to -2. This means that for every increase in the number of quantities there is a decrease in the price.

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The number of defective circuit boards coming off a soldering machine follows a Poisson distribution. During a specific ten-hour
Alexus [3.1K]

Answer:

a) the probability that the defective board was produced during the first hour of operation is \frac{1}{10} or 0.1000

b) the probability that the defective board was produced during the  last hour of operation is \frac{1}{10} or 0.1000

c) the required probability is 0.2000

Step-by-step explanation:

Given the data in the question;

During a specific ten-hour period, one defective circuit board was found.

Lets X represent the number of defective circuit boards coming out of the machine , following Poisson distribution on a particular 10-hours workday which one defective board was found.

Also let Y represent the event of producing one defective circuit board, Y is uniformly distributed over ( 0, 10 ) intervals.

f(y) = \left \{ {{\frac{1}{b-a} }\\\ }} \right   _0;   ( a ≤ y ≤ b )_{elsewhere

= \left \{ {{\frac{1}{10-0} }\\\ }} \right   _0;   ( 0 ≤ y ≤ 10 )_{elsewhere

f(y) = \left \{ {{\frac{1}{10} }\\\ }} \right   _0;   ( 0 ≤ y ≤ 10 )_{elsewhere

Now,

a) the probability that it was produced during the first hour of operation during that period;

P( Y < 1 )   =   \int\limits^1_0 {f(y)} \, dy

we substitute

=    \int\limits^1_0 {\frac{1}{10} } \, dy

= \frac{1}{10} [y]^1_0

= \frac{1}{10} [ 1 - 0 ]

= \frac{1}{10} or 0.1000

Therefore, the probability that the defective board was produced during the first hour of operation is \frac{1}{10} or 0.1000

b) The probability that it was produced during the last hour of operation during that period.

P( Y > 9 ) =    \int\limits^{10}_9 {f(y)} \, dy

we substitute

=    \int\limits^{10}_9 {\frac{1}{10} } \, dy

= \frac{1}{10} [y]^{10}_9

= \frac{1}{10} [ 10 - 9 ]

= \frac{1}{10} or 0.1000

Therefore, the probability that the defective board was produced during the  last hour of operation is \frac{1}{10} or 0.1000

c)

no defective circuit boards were produced during the first five hours of operation.

probability that the defective board was manufactured during the sixth hour will be;

P( 5 < Y < 6 | Y > 5 ) = P[ ( 5 < Y < 6 ) ∩ ( Y > 5 ) ] / P( Y > 5 )

= P( 5 < Y < 6 ) / P( Y > 5 )

we substitute

 = (\int\limits^{6}_5 {\frac{1}{10} } \, dy) / (\int\limits^{10}_5 {\frac{1}{10} } \, dy)

= (\frac{1}{10} [y]^{6}_5) / (\frac{1}{10} [y]^{10}_5)

= ( 6-5 ) / ( 10 - 5 )

= 0.2000

Therefore, the required probability is 0.2000

4 0
3 years ago
The class had 7 pizzas for her class celebration. The pizzas were split equally between 23 students. What fraction represents th
Ghella [55]
The fraction is 7/23
4 0
4 years ago
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What is -4^2 equal to?
Anni [7]

Answer:

-16

Step-by-step explanation:

Negative four to the second power is equal to -4 x -4 which is -16

6 0
3 years ago
A group of cubes are arranged in a pattern with the same number of cubes in each row and column. There are 225 cubes in the shap
Maslowich

Answer:

The Answer is 25 I think

3 0
3 years ago
85. The area of square ABCD is 4 times larger than the area of square WXYZ. If the area of square WXYZ is 9, what is the differe
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Answer:

A

Step-by-step explanation:

3x3=9 3x9=36 6x6=36

5 0
3 years ago
Read 2 more answers
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