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mars1129 [50]
3 years ago
14

Max makes a scale drawing of distance between salt lake city and Arizona. The distance between salt lake city and Arizona is 21

cm. If each 7 cm on the scale drawing equals 250 kilometers, how far apart are the salt lake city and Arizona.
Mathematics
1 answer:
Elena L [17]3 years ago
8 0
750 kilometers. 21 divided by 7 is 3. If 7 cm equals 250 km, then 7 × 3 = 250.
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Suppose that two teams play a series of games that ends when one of them has won ???? games. Also suppose that each game played
Musya8 [376]

Answer:

(a) E(X) = -2p² + 2p + 2; d²/dp² E(X) at p = 1/2 is less than 0

(b) 6p⁴ - 12p³ + 3p² + 3p + 3; d²/dp² E(X) at p = 1/2 is less than 0

Step-by-step explanation:

(a) when i = 2, the expected number of played games will be:

E(X) = 2[p² + (1-p)²] + 3[2p² (1-p) + 2p(1-p)²] = 2[p²+1-2p+p²] + 3[2p²-2p³+2p(1-2p+p²)] = 2[2p²-2p+1] + 3[2p² - 2p³+2p-4p²+2p³] =  4p²-4p+2-6p²+6p = -2p²+2p+2.

If p = 1/2, then:

d²/dp² E(X) = d/dp (-4p + 2) = -4 which is less than 0. Therefore, the E(X) is maximized.

(b) when i = 3;

E(X) = 3[p³ + (1-p)³] + 4[3p³(1-p) + 3p(1-p)³] + 5[6p³(1-p)² + 6p²(1-p)³]

Simplification and rearrangement lead to:

E(X) = 6p⁴-12p³+3p²+3p+3

if p = 1/2, then:

d²/dp² E(X) at p = 1/2 = d/dp (24p³-36p²+6p+3) = 72p²-72p+6 = 72(1/2)² - 72(1/2) +6 = 18 - 36 +8 = -10

Therefore, E(X) is maximized.

6 0
3 years ago
PLEASE HELP I BEG OF YOU!???
k0ka [10]

Answer:

24.9

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7 0
3 years ago
Two independent simple random samples are taken to test the difference between the means of two populations whose variances are
My name is Ann [436]
I think it’s 72 degrees of freedom
3 0
3 years ago
A fuel tank has a volume of 36 gallons. When filled with biodiesel, it provides 4,500,000 BTUs. How many BTUs does 1 gallon of b
Tamiku [17]

Answer: 125,000 BTUs

Step-by-step explanation:

Hi, to answer this question we have to apply proportions:

A fuel tank has a volume of 36 gallons. When filled with biodiesel, it provides 4,500,000 BTUs

So, the proportion is:

36 gallons / 4,500,000 BTUs

For 1 gallon  

1 gallon / x BTUs

36/4,500,000 = 1/x

Solving for x:

x = 1 / (36/4,500,000)

x = 125,000 BTUs

Feel free to ask for more if needed or if you did not understand something.

4 0
3 years ago
Porfis ayúdenme es para hoy ​
avanturin [10]

Answers:

1. V=triangle area × length

V=1/2×8×12×20

V=960in³

2. triangle area × length

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V=22×6

V=132ft³

3. b, volume always have cubic power (³)

4. d, same reason of question 3

4 0
3 years ago
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