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Yanka [14]
3 years ago
5

(please Explain each step)the question is on the image.​

Mathematics
1 answer:
Fiesta28 [93]3 years ago
7 0

d= distance travelled = 6 km

P= 5d²+270

= 5(6)²+270

=5 ×36 +270

= 180+ 270

= 450

Taxi fare = 450 pence

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Afina-wow [57]
47.4% of the number 22 is 10.428. 

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the parabola y=x^2 is shifted up by 2 units and to the right by 3 units. what is the equation of the new porabola
Juli2301 [7.4K]
Up 2 units = y shifted up by 2:
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6 0
2 years ago
I have 100 items of product in stock. The probability mass function for the product's demand D is P(D=90)=P(D=100)=P(D=110)=1/3.
masya89 [10]

Answer:

The probability mass function for the items sold is

P_X(k) = \left \{ {\frac{1}{3} \, \, \, {k=90} \atop \, \frac{2}{3} \, \, \, {k=100}} \right.

The mean is 96.667

The variance is 22.222

b) The probability mass function for the unfilled demand due to lack of stock is

P_Y(k) = \left \{ {\frac{2}{3} \, \, \, {k=0} \atop \, \frac{1}{3} \, \, \, {k=10}} \right.

The mean is 3.333

The variance is 33.333

Step-by-step explanation:

If the demand is higher than 100, then you will sell 100 items only. Thus, there is a probability of 1/3+1/3 = 2/3 that you will sell 100 items, while there is a probability of 1/3 that you will sell 90.

The probability mass function for the items sold is

P_X(k) = \left \{ {\frac{1}{3} \, \, \, {k=90} \atop \, \frac{2}{3} \, \, \, {k=100}} \right.

The mean is 1/3 * 90 + 2/3 * 100 = 290/3 = 96.667

The variance is V(X) = E(X²)-E(X)² = (1/3*90² + 2/3*100²) - (290/3)² = 200/9 = 22.222

b) If order to be unfilled demand, you need to have a demand of 110, which happens with probability 1/3. In that case, the value of the variable, lets call it Y, that counts the amount of unfilled demand due to lack of stock is 110-100 = 10. In any other case, the value of Y is 0, which would happen with probability 1-1/3 = 2/3. Thus

P_Y(k) = \left \{ {\frac{2}{3} \, \, \, {k=0} \atop \, \frac{1}{3} \, \, \, {k=10}} \right.

The mean is 2/3 * 0 + 1/3 * 10 = 10/3 = 3.333

The variance is 2/3*0² + 1/3*10² = 100/3 = 33.333

4 0
2 years ago
If y=3 when x=9 find x when y=1<br> &amp; if y=2 when x=0.5 find y when x=3
hram777 [196]
I got -19/655 and i know for sure this isnt the correct answer.
4 0
3 years ago
Help me please so I can turn this in
Ber [7]

Answer:

10y-12

Step-by-step explanation:

3 0
2 years ago
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