Using the normal distribution, it is found that 62.46% of students would be expected to score between 350 and 550.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem, the mean and the standard deviation are respectively, given by: 
The proportion of students that would be expected to score between 350 and 550 is the <u>p-value of Z when X = 550 subtracted by the p-value of Z when X = 350</u>, hence:
X = 550:
has a p-value of 0.8729.
X = 350:
has a p-value of 0.2483.
0.8729 - 0.2483 = 0.6246
62.46% of students would be expected to score between 350 and 550.
More can be learned about the normal distribution at brainly.com/question/24663213
Answer:
x = 5/2
Step-by-step explanation:
Answer:
C(n) = 4 n for all possible integers n in N. This statement is true when n=1 and proving that the statement is true for n=k when given that statement is true for n= k-1
Step-by-step explanation:
Lets P (n) be the statement
C (n) = 4 n
if n =1
(x+4)n = (x+4)(1)=x+4
As we note that constant term is 4 C(n) = 4
4 n= 4 (1) =4
P(1) is true as C(n) = 4 n
when n=1
Let P (k-1)
C(k-1)=4(k-1)
we need to proof that p(k) is true
C(k) = C(k-1) +1)
=C(k-1)+C(1) x+4)n is linear
=4(k-1)+ C(1) P(k-1) is true
=4 k-4 +4 f(1)=4
=4 k
So p(k) is true
By the principle of mathematical induction, p(n) is true for all positive integers n
Answer:
x = 9
Step-by-step explanation:
x + 3 = 12
subtracting both sides by 3
x + 3 - 3 = 12 - 3
x + 0 = 9
x = 9
Answer:
a) C.
b) B.
Step-by-step explanation:
Remember that the premise is <u>a statement that will led to a conclusion and justifies it.</u>
<u />
a) In the sentence "He refused to testify by invoking his Fifth Amendment rights, so he must be guilty" the premise is: "He refused to testify by invoking his Fifth Amendment rights" because it follows from this that, therefore, he <u>must</u> be guilty (by not testifying, the person who said this reaches the conclusion that he must be guilty).
Thus, the correct answer is C.
b) Briefly describe how the stated fallacy occurs in the argument.
In this argument, the conclusion leaves no place for another outcome (because the conclusion is that he MUST be guilty), therefore it is stated as if being guilty is the only possible conclusion.
Thus, the correct answer is B.
