Answer:
8.33333333333%
Step-by-step explanation:
50/6
Step-by-step explanation:
yes its ans is (3,3) fast you have see in x axis then y axis .so according to this we write 3 which lies in x- axis and then another 3 which lies in y-axis.
Answer:
Yes, the value 1411.8 cm³ is significantly high.
Step-by-step explanation:
Consider the provided information.
The brain volumes (cm cubed) of 20 brains have a mean of 1111.2 cm cubed and a standard deviation of 125.3 cm cubed.
The range rule of thumb to identify the limits separating values that are significantly low or significantly high is:
The range rule of thumb identifying significant values are as.
Significantly low values are μ-2σ
Substitute the μ = 1111.2 and σ = 125.3 in above formula.
1111.2-2(125.3)=860.6
Significantly high values are μ+2σ
Substitute the μ = 1111.2 and σ = 125.3 in above formula.
1111.2+2(125.3)=1361.8
The value is significantly high due to the value 1411.8 cm³ is not lie between the values 860.6 cm³ and 1361.8 cm³.
Hence, Yes, the value 1411.8 cm³ is significantly high.
Answer:
10350.98
Step-by-step explanation:
Answer:
y = -4x² + 32x - 48
Step-by-step explanation:
The standard form of a quadratic equation is
y = ax² + bx + c
We must find the equation that passes through the points:
(2, 0), (6,0), and (3, 12)
We can substitute these values and get three equations in three unknowns.
0 = a(2²) + b(2) + c
0 = a(6²) + b(6) + c
12 = a(3²) + b(3) + c
We can simplify these to get the system of equations:
(1) 0 = 4a + 2b + c
(2) 0 = 36a + 6b + c
(3) 12 = 9a + 3b + c
Eliminate c from equations (1) and (2). Subtract (1) from (2).
(4) 0 = 32a + 4b
Eliminate c from equations (2) and (3). Subtract (3) from (2).
(5) -12 = 27a - 3b
Simplify equations (4) and (5).
(6) 0 = 8a + b
(7) -4 = 9a - b
Eliminate b by adding equations (6) and (7).
(8) a = -4
Substitute (4) into (6).
0 = -32 + b
(9) b = 32
Substitute a and b into (1)
0 = 4(-4) + 2(32) + c
0 = -16 + 64 + c
0 = 48 + c
c = -48
The coefficients are
a= -4, b = 32, c = -48
The quadratic equation is
y = -4x² + 32x - 48
The diagram below shows the graph of your quadratic equation and the three points through which it passes.