Answer:
The Region A represents p
The Region B represents p ∧ q
The Region C represents q
Step-by-step explanation:
The figure is as follows :
Given - The diagram represents two statements: p and q.
To find - Which represents regions A, B, and C?
A) p v q
B) p -> q
C) q ^ p
D) q -> p
Solution -
From the figure, we can see that,
The Region A represents p
The Region B represents p ∧ q
The Region C represents q
The truth table is as follows :
p q p ∧ q
T T T
T F F
F T F
F F F
Answer:
93.32% probability that a randomly selected score will be greater than 63.7.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the probability that a randomly selected score will be greater than 63.7.
This is 1 subtracted by the pvalue of Z when X = 63.7. So
has a pvalue of 0.0668
1 - 0.0668 = 0.9332
93.32% probability that a randomly selected score will be greater than 63.7.
Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, 7) and (x₂, y₂ ) = (0, 3) ← 2 ordered pairs from the table
m = =
= - 1