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koban [17]
3 years ago
5

What is the range of the function graphed below?

Mathematics
1 answer:
yan [13]3 years ago
4 0

Answer:

-3<y<3 The filled in dot means 3 is greater than or equal to.

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Suppose that an airline quotes a flight time of 128 minutes between two cities. Furthermore, suppose that historical flight reco
ANTONII [103]

Answer:

(a) The probability density function of <em>X</em> is:

f_{X}(x)=\frac{1}{b-a};\ a

(b) The value of P (129 ≤ X ≤ 146) is 0.3462.

(c) The probability that a randomly selected flight between the two cities will be at least 3 minutes late is 0.4327.

Step-by-step explanation:

The random variable <em>X</em> is defined as the flight time between the two cities.

Since the random variable <em>X</em> denotes time interval, the random variable <em>X</em> is continuous.

(a)

The random variable <em>X</em> is Uniformly distributed with parameters <em>a</em> = 10 minutes and <em>b</em> = 154 minutes.

The probability density function of <em>X</em> is:

f_{X}(x)=\frac{1}{b-a};\ a

(b)

Compute the value of P (129 ≤ X ≤ 146) as follows:

Apply continuity correction:

P (129 ≤ X ≤ 146) = P (129 - 0.50 < X < 146 + 0.50)

                           = P (128.50 < X < 146.50)

                           =\int\limits^{146.50}_{128.50} {\frac{1}{154-102}} \, dx

                           =\frac{1}{52}\times \int\limits^{146.50}_{128.50} {1} \, dx

                           =\frac{1}{52}\times (146.50-128.50)

                           =0.3462

Thus, the value of P (129 ≤ X ≤ 146) is 0.3462.

(c)

It is provided that a randomly selected flight between the two cities will be at least 3 minutes late, i.e. <em>X</em> ≥ 128 + 3 = 131.

Compute the value of P (X ≥ 131) as follows:

Apply continuity correction:

P (X ≥ 131) = P (X > 131 + 0.50)

                 = P (X > 131.50)

                 =\int\limits^{154}_{131.50} {\frac{1}{154-102}} \, dx

                 =\frac{1}{52}\times \int\limits^{154}_{131.50} {1} \, dx

                 =\frac{1}{52}\times (154-131.50)

                 =0.4327

Thus, the probability that a randomly selected flight between the two cities will be at least 3 minutes late is 0.4327.

6 0
3 years ago
Can someone help me which are correct?
taurus [48]

Answer:

Between the first option and the last option.

Step-by-step explanation:

first choice: c, a, d, b, e

last/fourth choice: a,c,d,b,e

7 0
3 years ago
Gary is making a casserole but only needs 1/3 of the original serving size. If the number of servings Gary needs is 4, how many
Deffense [45]

Answer:

What equation will model the situation?

✔ x/3 = 4

How many servings did the original recipe make?

✔ 12

Step-by-step explanation:

Hope this helps!

7 0
3 years ago
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Kevin plans to watch 3 movies each month. Write an equation to represent the total number of movies n that he will watch in m mo
GREYUIT [131]

Answer:

Step-by-step explanation:

n = 3m

6 0
3 years ago
Callie has a new kitten. The kitten weighs 3 pounds less than half the weight of Callie’s cat. Together, the cat and the kitten
scoundrel [369]
A) K=1/2C-3
K+C=18

Hope this helps! Have a great day :)
7 0
3 years ago
Read 2 more answers
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