Answer:
a) 1.
Step-by-step explanation:
Supongamos que el primer número entero positivo es a tal que a ∈ Z⁺.
Luego, el conjunto de los cinco enteros positivos se puede expresar como
A = {a; a+1; a+2; a+3; a+4}
Dada la condición del problema, se debe cumplir que
a + (a+1) + (a+2) = (a+3) + (a+4)
⇒ 3a + 3 = 2a + 7
Resolviendo la ecuación resulta
a = 4
Luego, el conjunto A nos resulta
A = {4; 5; 6; 7; 8}
Puede concluirse que sólo un conjunto cumple con esta condición.
Answer:
D
Step-by-step explanation:
Take it step by step.
The area of a rectangle is width times length.
We know the length is 7 since it's given, and we can find the width by adding shared sides of the square and triangle.
So the width is 10 + 14 or 24
That means the area of the rectangle is 7 * 24
The area of the second rectangle is 12 * 14, since they are both given.
Finally, the area of the triangle is 1/2 of the base times height and we can find the height by looking at the shared side and using the definition of a rectangle.
So the area of the triangle is 1/2 of 10 * 12.
Answer:
D. y = 12.5x + 15
Step-by-step explanation:
Using the values provided in the table, the only equation that would be valid would be the following...
y = 12.5x + 15
That is because if we substitute any value provided in the table for x , this equation will correctly output the y value shown in the table for the attached x-value. For example, in the table 5 nights (x = 5) should have a total cost of 77.5 (y = 77.5)... Therefore, if we substitute 5 for x in the function it should give us 77.5 which it does.
y = 12.5(5) + 15
y = 62.5 + 15
y = 77.5
Answer:
$39.36
Step-by-step explanation:
Since its 20% off that means we still have a remaining 80% so first multiply 0.8 to the 82
82x0.8= 65.6
Since there is a additional 40% off multiply by 0.4 to get the discount amount
65.6x0.4= 26.24
Subtract the discount from the price
65.6-26.24= 39.36
Answer:
0% probability that a customer will be exactly 7.50 minutes in the record store.
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
The probability of finding a value between c and d is:
The probability of finding a value above x is:
The uniform distribution is a continuous distribution, which means that the probability of an exact outcome is zero.
Uniformly distributed between 3 and 12 minutes.
This means that
What is the probability that a customer will be exactly 7.50 minutes in the record store?
Continuous distribution, so:
0% probability that a customer will be exactly 7.50 minutes in the record store.