Answer:
z = 46/13
Step-by-step explanation:
Step 1: Write equation
z + 6 ÷ 13 = 4
Step 2: Solve for <em>z</em>
- Rewrite: z + 6/13 = 4
- Subtract 6/13 on both sides; z = 46/13
Step 3: Check
<em>Plug in z to verify it's a solution.</em>
46/13 + 6/13 = 4
52/13 = 4
4 = 4
Answer:
The height is 15 feet
Step-by-step explanation:
If you use the formula for cone height and substitute in your values:
h=3 x (V/πr^2)
h=3 x (81430.1/72^2π)
h=15
Answer:
2.51 cubic meters
Step-by-step explanation:
plug into formula calculator.
Considering the probabilities of getting each question right, his expected score for the test is 90.8.
<h3>How to find Joe's expected score?</h3>
Joe's expected score is given by the sum of the expected score for each question.
We have that:
- He is sure of 12 answers, hence for each he expects 6 points.
- He randomly guesses on 9 problems, hence he is expected to have a 1/5 probability of earning 6 on them.
- For the other 4 problems, he has a 1/3 probability of earning 6 on them, as he will guess from 3 options as he eliminated 2.
Hence his expected score is given by:
E(X) = 12 x 6 + 9 x 1/5 x 6 + 4 x 1/3 x 6 = 90.8.
More can be learned about the expected score of a distribution at brainly.com/question/13617733
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Answer:
El ancho del río es 59.9 metros.
Step-by-step explanation:
El ancho del río lo podemos calcular con la siguiente relación trigonométrica asumiendo que la torre forma un triángulo rectángulo con el río:
En donde:
CA: es el cateto adyacente = Altura de la torre = 28.2 m
CO: es el cateto opuesto = ancho del río =?
θ: es el ángulo adyacente a CA
Dado que el ángulo de depresión (25.2°) está ubicado fuera de la parte superior de la hipotenusa del triángulo que forma la torre con la orilla opuesta del río, debemos calcular el ángulo interno (θ) como sigue:
Ahora, el ancho del río es:
Por lo tanto, el ancho del río es 59.9 metros.
Espero que te sea de utilidad!
