Very nice handwriting but the math and English are confusing.
Let's assume we're told

The subscript is important.
I think we're told the similar sum with 11 gives the smallest possible value for the sum. This is a rather cagey way of telling us 11 is the mean of the nine points. The mean is the number which minimizes the sum of squared deviations.


If 11 is the mean, the sum of the points is 9(11)=99.

Answer: 1080
Answer:
La mínima calificación que Stephen puede recibir en el quinto examen para obtener una A en el curso es 98.
Step-by-step explanation:
La media (también llamada promedio o media aritmética) de un conjunto de datos es una medida de posición central. Es el valor obtenido al sumar todos los datos y dividir el resultado entre el número total de datos.
En este caso, el número total de datos es 5 y el valor de los datos de los cuales debes obtener el problema es 92, 87, 96, 77 y un valor desconocido de un quinto examen. Y sabes que este valor debe ser igual o mayor a 90.
Esto se expresa matemáticamente como:
≥90
donde "nota" es la mínima calificación que Stephen puede recibir en el quinto examen para obtener una A en el curso.
Resolviendo:
≥90
352+nota≥90*5
352+nota≥450
nota≥450 - 352
nota≥98
<u><em>La mínima calificación que Stephen puede recibir en el quinto examen para obtener una A en el curso es 98.</em></u>
Answer:
A
Step-by-step explanation:
Answer:
The slope of AB is undefined; the slope of CD is 0; The lines are perpendicular.
Step-by-step explanation:
Line AB would form a vertical line. Slope is Δy/Δx. To go from 3 to 7 (the y-coordinates) you need to go up 4 units. So we would then have Δy/Δx = 4/Δx. To go from -5 to -5 (the x-coordinates) we have to go left or right 0 units. So, Δy/Δx = 4/Δx = 4/0. Anything divided by 0 is undefined. <em>Remember: vertical lines always have an undefined slope.</em>
Line CD would form a horizontal line. To go from 9 to 9 (the y-coordinates) you need to go up or down 0 units. So, Δy/Δx = 0/Δx. To go from 1 to -10 (the x-coordinates) you need to go down 11 units. So Δy/Δx = 0/Δx = 0/1. 0 divided by anything is 0. <em>Remember: horizontal lines always have a slope of 0.</em>
If you picture a horizontal line and a vertical line intersecting, they would both form a right angle when they intersect. By definition, this would make both lines perpendicular.
I would receive 100 each day