Answer:
y = x + 53
Step-by-step explanation:
Let x be the number of flowers Jamal planted and y the number of flowers Heidi planted.
Jamal planted 53 fewer flowers than Heidi:
x = y - 53
Isolate the y.
x + 53 = y (Change the - sign to + sign when switching from different sides of an equation)
y = x + 53
Answer:
a) Figure attached
b)
c)
d)
Step-by-step explanation:
2 hr = 120 min
2hr 20 min = 120+20 = 140 min
Let X the random variable that represent "flight time". And we know that the distribution of X is given by:
For this case the density function for A is given by:
And for other case
Part a
For this case we can see the figure attached. We see that the probability density function is defined between 120 and 140 minutes.
Part b
The arrival time is 2hr 5 min = 125 min. So then 5 minutes leate means 130 min
For this case we want to find this probability:
And we can use the cumulative distribution function for X given by:
And if we use this formula we got:
Part c
For this case more than 10 minutes late means 125 +10 = 135 min or more, so we want this probability:
And using the complement rule we have:
Part d
The expected value for the uniform distribution is given by:
Answer: The wavelength of red light is 2 times longer than the wavelength of violet light.
Step-by-step explanation:
Let be "x" the number of times the wavelength of red ligth is longer than the wavelength of violet light.
Knowing that the wavelength (measured in meters) of red light is about and the wavelength (measured in meters) of violet light is , you have to:
Divide the wavelength of red light (measured in meters) by the wavelength of violet light (measured in meters).
Then:
Remember the Quotiend of powers property:
Then:
The wavelength of red light is 2 times longer than the wavelength of violet light.
F(x) = x^2 + 3
g(x) = 3x + 7
(g o f)(x) = g(f(x)) = g(x^2 + 3) = 3(x^2 + 3) + 7 = 3x^2 + 9 + 7 = 3x^2 + 16
(g o f)(7) = 3(7)^2 + 16 = 3(49) + 16 = 147 + 16 = 163