On the average, 1 1/3 bushels of seed are needed to plant 1 acre of wheat. How many bushels of seed would be required to plant 3

Answer:

a) 0.00019923%

b) 47.28%

Step-by-step explanation:

a) To determine the likelihood that all sockets in the sample are defective, we can use the following approach:

The first socket is among a group that has 5 defective out of 38, leading to a probability of 5/38.

The second socket is then taken from a group of 4 defective out of 37, following the selection of the first defective socket, resulting in a probability of 4/37.

Extending this logic, the chance of having all 5 defective sockets is computed as: (5/38)*(4/37)*(3/36)*(2/35)*(1/34) = 0.0000019923 = 0.00019923%.

b) Using similar reasoning as in part a, the first socket has a probability of 33/38 of not being defective as it's chosen from a set where 33 sockets are functionally sound. The next socket has a proportion of 32/37, and this continues onward.

The overall probability calculates to (33/38)*(32/37)*(31/36)*(30/35)*(29/34) = 0.4728 = 47.28%.

Answer: The most significant angle created during his journey appears at the mall, between his house and the library.

Step-by-step explanation:

Hi, since this scenario forms a right triangle (refer to the attached image), the angle between his house and the library measures 90°.

For a right triangle, the total of its internal angles equals 180°, making the right angle (90°) the largest among them.

Thus, the angle at the mall, between his house and the library, is indeed the largest angle formed during his trip.

If you need further clarification or have questions, feel free to ask!

Calculate the probability of each pen color by dividing the number of times each color was chosen by the total selections:

Red pens: 6 out of 30, which simplifies to 1/5

Blue pens: 10 out of 30, which simplifies to 1/3

Black pens: 14 out of 30, which simplifies to 7/15

To find the likelihood of first selecting a blue pen and then a red pen, multiply their individual probabilities:

(1/3) × (1/5) = 1/15

The resulting probability is 1/15.

Answer:

Step-by-step explanation:

Given

Required

Calculate the hourly rate

First, we will determine the amount of ice cream that was sold

Next, calculate the average hourly rate:

-- Approximated

Respuesta:

La altitud del globo por encima del nivel del suelo es de 449,6 metros.

Explicación paso a paso:

El enunciado no está completo. El texto completo es: "Un globo se desplaza entre las ciudades A y B, que se encuentran a 1.500 m de distancia. Los ocupantes del globo observan la ciudad A con un ángulo de depresión de 27°, mientras que, para la ciudad B, el ángulo es de 36°. ¿Cuál es la altura aproximada del globo con respecto al suelo?"

El diagrama que ilustra esta situación está en el archivo adjunto. Para calcular la altura del globo, se pueden emplear las funciones trigonométricas, siendo recomendable hacer uso de la función tangente para los ángulos de depresión mencionados:

Ciudad A

Ciudad B

Donde y representan la altura desde el suelo y la distancia horizontal desde la ciudad A.

Luego, se igualan las alturas en ambas ecuaciones para calcular la distancia horizontal del globo en relación a la ciudad A:

Por último, la altura del globo sobre el suelo se calcula como:

La altura del globo respecto al nivel del suelo es 449,6 metros.