Answer:
There are two different variables. X and Y.
Answer:
5/24
Step-by-step explanation:
First, we want to get a common denominator, so we multiply them together.
The 2 new fractions are. . .
4/24 (1/6) and 6/24 (1/4)
Now, if you are looking for the number between 4/24 and 6/24, the answer is 5/24.

notice, there are three terms, therefore is a
trinomial.
the term that has the highest degree, has a degree of 3, therefore the degree of the polynomial as a whole is 3, or a
cubic degree.
so, is a
cubic trinomial.
There is a typo error in the last part of the question. The corrected part is-
"If the probability that she orders just a grilled cheese sandwich is .76, what is the probability that she will order a grilled cheese or fries?"
Answer:
The probability that she will order a grilled cheese sandwich or fries is <u>0.43.</u>
Step-by-step explanation:
Given:
Probability of ordering fries is, 
Probability of ordering cheese sandwich is, 
Probability of ordering both sandwich and fries is, 
Probability of ordering cheese sandwich or fries is given by the union of both the events 'F' and 'S' given as
.
Now, using addition theorem of probability, we get:

Therefore, probability of ordering cheese sandwich or fries is 0.43.
Answer:
6.51 cm
Step-by-step explanation:
Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.
Since V = V',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
taking cube-root of both sides, we have
r = ∛(3R²h/4)
Substituting the values of the variables into the equation, we have
r = ∛(3(7 cm)² × 7.5 cm/4)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places