Answer:
Both are correct
Step-by-step explanation:
The Line has the following equation: y= 1+4/5 x
So we need to know which points: (-5,-3) and (10,9), (-10,-7). (-15, -11) are part of the line
For instances, lest start by evaluating (-15,-11) in y=1+4/5 x
this leaves us to the following operation: -11=1+4/5 * (-15)
-11=1-4*3 resulting in a equality -11=-11, this point does belong to the line
Repeat the above for all of the remaining points and you will get the same conclusion, that is we Vladimir and Robyn are correct.
The similarities are;
- Compass and a straight edge required for both construction
- Both construction includes a line drawn from the intersection of arcs to bisect a segment or an angle
- The bases for the construction of both bisector are the ends of segment and the angle to be bisected
- The width of the compass when drawing intersecting arcs, is more than half the width of the segment or angle being bisected
The differences are;
- Two points of intersection of arcs are used in the segment bisector while only one is requited in an angle bisector
- The bisecting line crosses the segment in a segment bisector, while it stops at the vertex of the angle being bisected in an angle bisector
The sources of the above equations are as follows;
The steps to construct a segment bisector are;
- Place the needle of the compass at one of the ends of the line segment to be bisected
- Widen the compass so as to extend more than half of the length of the segment to be bisected
- Draw two arcs, one above, and the other below the line
- Place the compass needle at the other end and with the same compass width draw arcs that intersects with the arcs drawn in the above step
- Draw a line segment by placing the ruler on the points of intersection of the arcs above and below the line
The steps to construct an angle bisector are;
- With the compass needle at the vertex, open the pencil end such that arcs can be drawn on the rays (lines) forming the angle
- Draw an arc on both lines forming the angle
- Place the compass needle at one of the intersection points and draw an arc in between the lines forming the angle
- Repeat the above step with the same compass width from the other intersection point with the rays forming the angle
- Join the point of intersection of the two arcs to the vertex of the angle to bisect the angle
Therefore, we have;
The similarities are;
- A compass and a straight edge can be used for both construction
- A straight line is drawn from the point of intersection of arcs to bisect the segment or the angle
- The arcs are drawn from the ends of the segment or angle to be bisected
- The width of the compass is more than half the width of the line or angle when drawing the arcs
The differences are;
- In a segment bisector, the intersection point is above and below the line, while in an angle bisector only one pair of arcs are drawn to intersect above the line
- The bisecting line passes through the segment being bisected, while the line stops at the vertex in an angle bisector
Learn more about the construction of segment and angle bisectors here;
brainly.com/question/17335869
brainly.com/question/12028523
Answer is √35 (square root of 35)
Reason: square root of 35 (which is = 5.9160797831.....) which is a non-terminating decimal, which means it is irrational.
An irrational number is any real number that cannot be expressed as a simple fraction or terminating decimals. There are many answers to this question.
Answer:
multiplication, so d, 2 x 3
Step-by-step explanation:
remember... PEMDAS!!
<span>n = 5
The formula for the confidence interval (CI) is
CI = m ± z*d/sqrt(n)
where
CI = confidence interval
m = mean
z = z value in standard normal table for desired confidence
n = number of samples
Since we want a 95% confidence interval, we need to divide that in half to get
95/2 = 47.5
Looking up 0.475 in a standard normal table gives us a z value of 1.96
Since we want the margin of error to be ± 0.0001, we want the expression ± z*d/sqrt(n) to also be ± 0.0001. And to simplify things, we can omit the ± and use the formula
0.0001 = z*d/sqrt(n)
Substitute the value z that we looked up, and get
0.0001 = 1.96*d/sqrt(n)
Substitute the standard deviation that we were given and
0.0001 = 1.96*0.001/sqrt(n)
0.0001 = 0.00196/sqrt(n)
Solve for n
0.0001*sqrt(n) = 0.00196
sqrt(n) = 19.6
n = 4.427188724
Since you can't have a fractional value for n, then n should be at least 5 for a 95% confidence interval that the measured mean is within 0.0001 grams of the correct mass.</span>
