A Middle Eastern restaurant recorded the number of times 2 dinner appetizers, hummus and baba ghanoush, were ordered every day for 1 month. The restaurant calculated the mean number of times each appetizer was ordered and the MAD (mean absolute deviation) for each appetizer. | Appetizer | Orders sold |
Mean | MAD
---------------------------
Hummus 24.3 | 3.1
Baba ghanoush 11.5 | 2.9






Which statement best describes the overlap in the distribution of the two data sets?

A.
The overlap is high because both means are greater than either MAD.

B.
The overlap is high because the sum of the means is large compared to the MAD.

C.
The overlap is low because the difference in the MADs is small.

D.
The overlap is low because the difference in the means is large compared to either MAD.

Answer: 15√3 + 9√6

Step-by-step explanation:

3√3 (5 + 3√2 )

= 3√3 x 5 + 3√3 x 3√2 (Apply the distributive rule. a(b+c) = ab+ac)

= 15√3 + 9√6 (Multiply the radicands, then multiply the constants. No mixing)

Answer: The simplified form of the given equation is

Step-by-step explanation:

From the given information, the numerator of the given fraction is:

and denominator of the given fraction is

The fraction becomes:

Applying middle term factorization in the numerator and denominator term, we get:

=

=

=

Cancelling (2z-5) factor from numerator an denominator, we get:

=

The above fraction is the simplified form of the equation formed in the question.

Answer:

1192 ft²

Step-by-step explanation:

Figure 3 is a trapezoidal prism.

The total surface area of a trapezoidal prism is made up of 2 congruent trapezoid bases and 4 rectangular faces connecting the bases.

The formula for the area of a trapezoid is:

where a and b are the bases, and h is the height.

From observation of the given diagram, the bases are 16 ft and 19 ft, and the height is 12 ft. Therefore, the area of each trapezoid base is:

To calculate the areas of all the rectangular faces, we first need to calculate the slant (s) of the trapezoid base by using the Pythagoras Theorem:

The area of a rectangle is the product of its width and length.

Therefore, the sum of the areas of the rectangular faces is:

To find the total surface area of the given trapezoidal prism, sum the area of the two trapezoid bases and the area of the rectangular faces:

Therefore, the total surface area of the given trapezoidal prism is 1192 ft², rounded to the nearest foot.

Answer:

11,919

Step-by-step explanation:

took the test

Answer:

2

Step-by-step explanation:

Convert mixed fraction to improper fraction

÷ ÷

Answer:

2

Step-by-step explanation:

Simplify the following:

(-(2 + 2/3))/(-(1 + 1/3))

(-(2 + 2/3))/(-(1 + 1/3)) = (-1)/(-1)×(2 + 2/3)/(1 + 1/3) = (2 + 2/3)/(1 + 1/3):

(2 + 2/3)/(1 + 1/3)

Put 1 + 1/3 over the common denominator 3. 1 + 1/3 = 3/3 + 1/3:

(2 + 2/3)/(3/3 + 1/3)

3/3 + 1/3 = (3 + 1)/3:

(2 + 2/3)/((3 + 1)/3)

3 + 1 = 4:

(2 + 2/3)/(4/3)

Put 2 + 2/3 over the common denominator 3. 2 + 2/3 = (3×2)/3 + 2/3:

((3×2)/3 + 2/3)/(4/3)

3×2 = 6:

(6/3 + 2/3)/(4/3)

6/3 + 2/3 = (6 + 2)/3:

((6 + 2)/3)/(4/3)

6 + 2 = 8:

(8/3)/(4/3)

Multiply the numerator by the reciprocal of the denominator, (8/3)/(4/3) = 8/3×3/4:

(8×3)/(3×4)

(8×3)/(3×4) = 3/3×8/4 = 8/4:

8/4

The gcd of 8 and 4 is 4, so 8/4 = (4×2)/(4×1) = 4/4×2 = 2:

Answer: 2