Which one of these are convexs

Two families went to Rollercoaster World. The Brown family paid 170 for 3 children and 2 adults. The Peckham family paid 360 for

cestrela7 [59]

Answer: the system of equations are

3x + 2y = 170

4x + 6y = 360

Step-by-step explanation:

Let x represent the price of a child's ticket in dollars.

Let y represent the price of an adult's ticket in dollars.

The Brown family paid 170 for 3 children and 2 adults. This would be expressed as

3x + 2y = 170

The Peckham family paid 360 for 4 children and 6 adults. This would be expressed as

4x + 6y = 360

3 0

2 years ago

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 X 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 X is defined as the flight time between the two cities.

Since the random variable X denotes time interval, the random variable X is continuous.

(a)

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

The probability density function of X 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. X ≥ 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

2 years ago

Which function has the same y-intercept as the function

ddd [48]

The answer is 6x-7y=21

In order to find this answer you need to convert the answer choices into y intercept form by isolating the y variable to one side of the equation.
6x-7y=21
-7y=-6x+21
y=6/7x-3
As you can see when you change the form of this equation, the y intercept is -3.

8 0

2 years ago

Please help me and I’ll give you brainiest!!!!!!!!! Have a wonderful day!!:)))

Elena L [17]

The answer would be

y=-1/2x +4

8 0

1 year ago

You deposit $200 in an account earning 2% interest compounded annually how much will you have any account in 10 years

Naddik [55]

Answer:

$240

Step-by-step explanation:

4 0

2 years ago