According to the college board, sat critical reading scores from the 2014 school year for high school students in the united states were normally distributed with a mean of 497 and a standard deviation of 115. use a standard normal table such as this one to determine the probability that a randomly chosen high school student who took the sat in 2014 will have a critical reading sat score between 450 and 750 points give your answer as a percentage rounded to one decimal placep=%

64.5 %

Step-by-step explanation:

Let's start defining the random variable X.

X : '' SAT critical reading scores from the 2014 school year for high school students in the United States ''

We know that X ~ N (μ,σ)

Where μ is the mean and σ is the standard deviation.

⇒ X ~ N (497,115)

If we want to calculate probabilities related to X we need to standardized the random variable. We do this by subtracting the mean to X and then dividing by the standard deviation. This new random variable will be ''Z'' and Z ~ N (0,1)

We can find the probabilies of ''Z'' in any standard normal table.

The cumulative distribution of ''Z'' is the function Φ where  :

Φ(a)

Now, we need to calculate the following probability :

If we standardized this :

We know that ≅ Z ⇒

⇒

Φ(2.2) - Φ(-0.41) =

⇒ 64.52% ≅ 64.5%

We find that the probability (given as a percentage) is 64.5%

the answer is d on edge

step-by-step explanation:

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !