Answer:
a.7(6xy-2z)
=7*6xy-7*2z
=42xy-14z
b.5(2w+3)-6(w+2)
=5*2w+5*3-6*w-6*2
=10w+15-6w-12
=4w+3
c.2f(2f+g-3)
=2f*2f+2f*g-2f*3
=4f^2+2fg-6f
Step-by-step explanation:
Answer:
5x^4 + 3x^2 + 4x
Step-by-step explanation:
Basically what your doing is 5x^4 + 4x - 6 + 3x^2 + 6
There aren't any common things we can add apart from the - 6 and 6
So do
-6 + 6 = 0
You end with the answer
<em><u>Two</u></em> of the four statements that Ana wrote are <em><u>correct</u></em>. Number 1, "AB is a diameter" is incorrect, and so is number 3, "SQ = 12 cm". AB is not a diameter because it is instead a chord. "ST , SP and SQ are radii" is correct because they are straight lines from the center of the circle to the circumference of the circle, which is the exact definition of radius. The third statemet is incorrect because since ST is a radius and it equals 6, that means all radii are equal to 6. SQ is a radius of circle S, so it should also equal 6, not 12. The last statement is correct because PQ is a diameter of circle S. By rule, the diameter is always equal to double of the radius. The radius is 6, so 6 x 2= 12.
Answer:
The margin of error for this confidence interval is of 7.
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the subtraction between these bounds, divided by 2.
In this question:
The bounds are 32 and 46.
(46 - 32)/2 = 14/2 = 7
The margin of error for this confidence interval is of 7.
Well you did well in adding but remember it started as 12 on Monday. So you simply add 12 to 36 and the new answer is 48.