Answer:
8 ejercicios
Step-by-step explanation:
De acuerdo a la información dada, puedes plantear las siguientes ecuaciones:
x+y= 45 (1)
7x-1y= 19 (2)
x= ejercicios que resolvió bien
y= ejercicios que resolvió mal
Primero, puedes despejar x en (1):
x= 45-y (3)
Segundo, debes reemplazar (3) en (2):
7(45-y)-1y=19
315-7y-1y= 19
315-8y= 19
315-19= 8y
296= 8y
y= 296/8
y= 37
Tercero, debes reemplazar el valor de y en (3) para encontrar x:
x= 45-37
x= 8
De acuerdo a esto, la respuesta es que el hijo ha resuelto bien 8 ejercicios.
Answer:
The Theoretical probability is 1/6.
The experimental probability is 1/5
Step-by-step explanation:
Given
Rolls: 100
Outcome of 3 : 20
Required
Which of the options is true (See attachment for options)
From the attachment, we understand that the question requires that we calculate the experimental and theoretical probability.
The experimental probability (E) is calculated as thus:



The theoretical probability (T) is calculated as thus:
A cube has 6 faces, one of which is the face 3.
So, T is:


Hence, C is true
Answer:
$0.81
Step-by-step explanation:
Given;
Philip's average balance = $107.50
Annual Charges rate = 8.99% = 0.0899
The annual Charges can be calculated as;
Annual Charges = Average balance × rate
Substituting the values;
Annual Charges = 107.50 × 0.0899 = $9.66
The monthly charges can be derived from the annual Charges by dividing by the number of months in a year.
Monthly Charges = Annual Charges ÷ 12 month per year
Monthly Charges = $9.66 ÷ 12 = $0.805
Monthly Charge = $0.81
Answer:
(y - 3)² = 12(x + 3)
Step-by-step explanation:
The focus is to the right of the vertex, so the parabola is sideways and opens to the right.
The conic form of a sideways parabola is
(y - k)² = 4p(x - h)
The vertex is at h = -3; k = 3
The focus is at (h + p, k) = (-3 + p, 3)
The vertex and focus are three units apart, so p = 3.
The equation of your parabola is
(y - 3)² = 12(x + 3)
The figure below shows the graph of your parabola with its focus and vertex.
Answer: B
Step-by-step explanation: