Answer:
c. modus ponens
Explanation:
In propositional logic, we learn that <em>modus ponens</em> is a valid argument and a rule of inference. <em>Modus ponens</em> states that "P implies Q, and if P is true, then Q must be true."
Based on these propositions, we learn that all food that is healthy does not taste good, and tofu is healthy. Therefore,
<em>If all food that is healthy does not taste good,</em>
<em>and tofu is healthy to eat,</em>
<em>then tofu does not taste good.</em>
Answer:

Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 550
Sample size, n = 250
Alpha, α = 0.05
Population standard deviation, σ = 120
The mean GMAT score for all test takers is 550.
The researcher believes that the mean scores in the Philippines who are interested in pursuing graduate management education will be less than 550.
We design the null and the alternate hypothesis
in the following manner:

The null hypothesis states that the sample is taken from the population and have a mean score of 550, while the alternate hypothesis states the researcher's claim that the sample of Philippines does not belong to the population and have mean score less than 550.
Answer:
100 in²
Step-by-step explanation:
The area of the banner is equal to the area of the initial rectangle minus the area of the cutout triangle.
The rectangle has a height of 8 inches and width of 14 inches, so its area is:
A = (8 in) (14 in) = 112 in²
The triangle has a base of 8 inches and a height of 3 inches, so its area is:
A = ½ (8 in) (3 in) = 12 in²
So the area of the banner is 112 in² − 12 in² = 100 in².
Answer:b)0.8577
Step-by-step explanation:
Since the heights of men are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = heights of men
u = mean height
s = standard deviation
From the information given,
u = 69 inches
s = 2.8 inches
We want to find the probability that the mean height of the 100 men is less than 72 inches.. It is expressed as
P(x < 72)
For x = 72
z = (72 - 69)/2.8 = 1.07
Looking at the normal distribution table, the probability corresponding to the z score is 0.8577
P(x < 72) = 0.8577
v=gt,
Initial value when time t=0, v=g*0=0.
t=0 s, v=0 m/s means that object’s initial velocity 0 m/s.
v=gt, and g is a constant g=9.8 m/s². We can write v=9.8*t.
Rate of change 9.8 means the acceleration due to gravity is 9.8 m/s².
Answer: C. The initial value is 0. That means that object’s initial velocity 0 m/s. The rate of change is 9.8. That means the acceleration due to gravity is 9.8 m/s2.