Answer:
Step-by-step explanation:
trapezium area
A=a+b/2(h)
Whole: A=8+10/2(6)
A=54 cm
Hole: 5+7/2(3)
a=18
54cm-18cm= 36
area of shaded region is 36cm.
Answer:
Approximately : 135
Step-by-step explanation:
60sec x 3 = 180sec
45 x 3 = 135
Answer:
7cm
Step-by-step explanation:
One side of a square is increased by 8 cm, let us say the length got increased by 8 cm. So we have length of x + 8 cm
An adjacent side, the width, decreased by 2 cm. So we have width of x - 2cm
Perimeter of rectangle = 2(length + width)
40 = 2( (x + 8) + ( x - 2) )
40 = 2( 2x + 6)
40 = 4x + 12
28 = 4x
x = 7 cm
That is 7 cm of the length of the side of the square
Answer:
Taking P(x) = x³-12x-16 as an example
Step-by-step explanation:
For a polynomial, if
x = a is a zero of the function, then (x − a) is a factor of the function.
We have two unique zeros:
−2 and 4. However, −2 has a multiplicity of 2, which means that the factor that correlates to a zero of −2 is represented in the polynomial twice.
Following how it's constructed
zero at -2, multiplicity 2
zero at 4, multiplicity 1
p(x)=x−(−2))²(x−4)¹
Thus,p(x)=(x+2)²(x−4)
Expand: p(x)=(x²+4x+4)(x−4)
p(x) =x³−12x−16
R = 0.9
A value of 0.9 would indicate that the correlation is positive. Since it's also close to the value 1, it would also tell us that the correlation of y and x is strong. Therefore, r = 0.9 would be a strong linear association in which y increases as x increases.
r = -1.0
Since the value of r is negative, this would mean that the correlation is also negative. Furthermore, the value of r is also at the minimum point which is -1.0 thus this would tell us that the correlation is a perfect linear association in which y decreases as x increases.
r = -0.6
Likewise, this r value is also negative thus allowing us to know that y will decrease as x increases. The value of r, which is -0.6, is also close to -1.0. This allows us to tell that it is a strong relationship. Therefore, r = -0.6 is a strong linear association in which y decreases as x increases.
r = 0.1
For this correlation, the r value is positive. This would indicate that the value of y will increase as x increases. Since the r value is only 0.1, we cannot say that it is a strong relationship since it is far from the maximum value for a perfect relationship which is 1. Therefore, r = 0.1 is a moderate linear association in which y increases as x increases.
