Answer:
The equation of the line required is y=-6x-57.
Step-by-step explanation:
The point-slope form of a line is

Here, m represents the slope of the line.
It is given that a line passes through the point (–9, –3) with a slope of –6.
By substituting m=-6, x₁=-9, and y₁=-3 into the equation above, you get:


Next, subtract 3 from each side.


Therefore, the final equation of the line is y=-6x-57.
Answer:
Step-by-step explanation:
Both Boxplots A and B have the same lower quaratile ranges well as the same median. However the old system had a larger upper quartile range,whilst the upper quaratile range of Box plot B was shorte.r
Answer:
32 Liters
Step-by-step explanation:
Within the glass tank:
W = represents the amount of water Andrei will use (in liters)
n = Number of marbles
Given the following: 
The tank's volume is the amount of water plus the cumulative volume of n marbles added.
Thus:

Tank volume = 32 Liters
Answer:
El volumen del cilindro mostrado en la figura es de 628 metros cúbicos
Explicación paso a paso:
La figura proporcionada se refiere a un cilindro
La altura del cilindro = h = 8 metros
El radio de la base del cilindro = r = 5 metros
Ahora, definamos el volumen del cilindro = V m³
Por lo tanto, el volumen del cilindro está dado por V =
×r²×h
donde r es el radio de la base
y h es la altura del cilindro
El valor de
= 3.14
Así que, V =
× r² × h
O, V = 3.14 × (5)² × 8
O, V = 3.14 × 25 × 8
o, V = 628 m³
Así que, el volumen del cilindro es V = 628 m³
Por lo tanto, el volumen del cilindro mostrado en la figura es de 628 metros cúbicos
Step-by-step explanation:
The equation for the best fitting line is y = 2.599x + 105.08. When x is set to 20, the predicted height becomes y = 157.06. However, the actual height recorded is 160 cm, therefore, the residual is calculated as:
160 cm − 157.06 cm = 2.94 cm