Frank reasoned that in the number 0.555, the value of the 5 in the thousands place is ten times as great as the 5 in the hundred

A partir del problema,
x representa la cantidad de cuartos de salsa toscana y
y la cantidad de cuartos de salsa marinara

Añadimos las siguientes variables
t que representa el número de tomates
c que representa el número de tazas de aceite
z que es la ganancia total

Las restricciones son las siguientes
x = 6t + c
y = 5t + 3c
6t + 5t ≤ 45
c + 3c ≤ 10
z = 4x + 5y
donde z debe ser maximizado.

Answer:

The angle formed between [A_F] and the base of the cone measures 68.2°.

The surface area of the cone's base is approximately 12.57 m².

Step-by-step explanation:

The parameters given are;

Height of the cone = 5 m

Base radius of the cone = 2 m

The angle denoted as AC = 120°

Thus, we have;

The angle between [A_F] and the cone's base = The angle formed between [CF] and the base of the cone

The angle between [CF] and the cone's base = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°

Therefore, the angle between [A_F] and the base of the cone is 68.2°.

To find the area of the cone's base, we use π × r² = π × 2² = 4·π ≈ 12.57

The base area of the cone ≈ 12.57 m².

Answer:

The final result is $88

Step-by-step explanation:

The Math.random () method produces a floating-point, pseudo-random number ranging from 0 to 1 (including 0 but excluding 1), which is distributed fairly evenly within that interval — allowing you to scale it to fit your preferred range.

Based on the parabolic equation provided, the vertex is located at (4,3). The focus coordinates of the parabola can be deduced from the equation. Therefore, the focus is at the point (4,3.75).

Answer:

b) falls between 18.4 and 31.6 minutes.

Step-by-step explanation:

Problems involving normally distributed samples can be tackled using the z-score formula.

In any set with a mean and standard deviation , the z-score for a measurement X is calculated as follows:

The Z-score indicates how many standard deviations an observation diverges from the mean. After determining the Z-score, consulting the z-score table provides the associated p-value. This p-value represents the likelihood of observing a measure less than X, i.e., the percentile of X. Subtracting the p-value from 1 yields the probability of observing a measure greater than X.

In this question, we find that:

To cover the Middle 90%

The lower limit is determined as the value of X when Z corresponds to a p-value of 0.5 - 0.9/2 = 0.05.

The upper limit corresponds to the value of X when Z has a p-value of 0.5 + 0.9/2 = 0.95.

Lower limit:

X when Z = -1.645

Upper limit:

X when Z = 1.645

Thus, the correct assessment is:

b) between 18.4 and 31.6 minutes.