Answer:
A
Step-by-step explanation:
Find the slope using rise/run
This gets you -5/4
Find the y intercept, which is at (0, 3)
This means the equation will be:
y = -5/4x + 3
Answer:
Base ten blocks can represent values such as 1, 10, 100, and 1000.
Answer:
c₁ = 1/2
c₂ = - e²/2
y = (1/2)*(eˣ - e²⁻ˣ)
Step-by-step explanation:
Given
y = c₁eˣ + c₂e⁻ˣ
y(1) = 0
y'(1) = e
We get y' :
y' = (c₁eˣ + c₂e⁻ˣ)' ⇒ y' = c₁eˣ - c₂e⁻ˣ
then we find y(1) :
y(1) = c₁e¹ + c₂e⁻¹ = 0
⇒ c₁ = - c₂/e² <em>(I)</em>
then we obtain y'(1):
y'(1) = c₁e¹ - c₂e⁻¹ = e <em>(II)</em>
⇒ (- c₂/e²)*e - c₂e⁻¹ = e
⇒ - c₂e⁻¹ - c₂e⁻¹ = - 2c₂e⁻¹ = e
⇒ c₂ = - e²/2
and
c₁ = - c₂/e² = - (- e²/2) / e²
⇒ c₁ = 1/2
Finally, the equation will be
y = (1/2)*eˣ - (e²/2)*e⁻ˣ = (1/2)*(eˣ - e²⁻ˣ)
Answer: 0.2858
Step-by-step explanation:
Given : When fishing off the shores of Florida, a spotted seatrout must be between 24 and 30 inches long before it can be kept.
In a region of the Gulf of Mexico, the lengths of the spotted seatrout that are caught, are normally distributed with and .
Let x be the lengths of the spotted seatrout that are caught .
Using formula
For x= 24
For x= 30
Then, by using the z-value table , the probability that a fisherman catches a spotted seatrout within the legal limits will be :-
Hence, the probability that a fisherman catches a spotted seatrout within the legal limits = 0.2858
Answer:
350.5
Step-by-step explanation: