Answer:
1(b) ∀ (A(x) ⇒ B(x) )
2(b) ∀ (B(x) ⇒ C(x) )
3(b) ∀ (B(x) ⇒ E(x) )
Step-by-step explanation:
1) Tofu is healthy
2) Tofu is healthy to eat
3) Tofu eats what taste good
1a) For all x, if x is healthy to eat
2a) For all x, if x is not healthy to eat, then x does not taste good.
3a) For all x, if x is healthy to eat, then x is healthy to eat what tastes good
For all x in order to symbolize the statement
1(a) 2(a) 3(a)
If we use:
A(x): Tofu is healthy
B(x): Tofu is healthy to eat
C(x): Tofu eats what taste good
E(x): Tofu only eat what tastes good
If we symbolize "For all x" by the symbol ∀ then then the propositions 1(a), 2(a) and 3(a) can be written as:
1(b) ∀ (A(x) ⇒ B(x) )
2(b) ∀ (B(x) ⇒ C(x) )
3(b) ∀ (B(x) ⇒ E(x) )
The data has been properly arranged in tabular form and is shown below in the image.
First we need to find the mean and median of scores of both students.
1) For Amo:
Mean =

Median = Middle Value when data is arranged in ascending order = 90
2) For Javier:
Mean =

Median = Middle Value when data is arranged in ascending order = 92
For both the students, value of Median is larger then the mean. So in order to give the best possible grade Mr. Malloy should use the median score for both students.
Answer:
The probability that the pirate misses the captain's ship but the captain hits = 0.514
Step-by-step explanation:
Let A be the event that the captain hits the pirate ship
The probability of the captain hitting the pirate ship, P(A) = 3/5
Let B be the event that the pirate hits the captain's ship
The probability of the pirate hitting the captain's ship P(B) = 1/7
The probability of the pirate missing the captain's ship, P'(B) = 1 - P(B)
P'(B) = 1 - 1/7 = 6/7
The probability that the pirate misses the captain's ship but the captain hits = P(A) * P(B) = 3/5 * 6/7
= 0.514
Answer:
H(t) = 15 -6sin(2.5π(t -0.5))
Step-by-step explanation:
For midline M, amplitude A, period T and time t0 at which the function is decreasing from the midline, the function can be written as ...
H(t) = M -Asin(2π/T(t -t0))
Using the given values of M=15, A=6, T=0.8 and t0 = 0.5, the equation is ...
H(t) = 15 -6sin(2.5π(t -0.5))
Minus 3y both sides
2y-6=-20
add 6 to both sids
2y=-14
divide 2
y=-7