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olga_2 [115]
2 years ago
5

The sample size needed to estimate the difference between two population proportions to within a margin of error E with a signif

icance level of ? can be found as follows. In the expression
E=z?p1(1?p1)n1+p2(1?p2)n2?????????????????????????
we replace both n1 and n2 by n (assuming that both samples have the same size) and replace each of p1, and p2, by 0.5 (because their values are not known). Then we solve for n, and get
n=(z?)22E2.
Finally, increase the value of n to the next larger integer number.
Use the above formula and Table C to find the size of each sample needed to estimate the difference between the proportions of boys and girls under 10 years old who are afraid of spiders. Assume that we want a 99% confidence level and that the error is smaller than 0.07.
n=______.
Mathematics
1 answer:
devlian [24]2 years ago
3 0

Answer:

n= (z)22E2

n=10× 99%÷ 0.07

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Construct an equilateral triangle of side 7cm and construct circumcircle.
zalisa [80]

Answer:

To do this, all you need is to draw triangle with each side being 7 cm, and a circle that intersects all three of its corners.

Step-by-step explanation:

  1. With a ruler and a pencil, draw a 7cm line.
  2. With a compass set to a radius of 7cm draw an arc centered around the right end of the line.
  3. With the same compass, still at 7cm, draw an arc centered around the left end of the line.
  4. These two arcs will intersect on either side of the line (you only need one side, so you only need a small arc in the right place, roughly where you think the third point if the triangle is.
  5. Where those arcs intersect is the third point on your triangle.  Mark that, and then trace two lines from that point to either end of the line segment you started with.

<em>You now have an equilateral triangle with 7cm sides.  Next you need to draw the circle</em>

  1. Measure the halfway point on two of your three lines.
  2. Draw a line from that each of those halfway points to the opposite corner. The new lines you're drawing will be perpendicular to the edge your measuring against.
  3. You have now drawn two line segments, and they intersect in the center of the circle.  Now take your compass and set its radius to the distance from that center point to one of the three corner points.
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And you're done!

6 0
2 years ago
A box of 42 chocolates contains milk and dark chocolates in the ratio of 3:4. How many chocolates of each type there are?
Elza [17]
<h2>Answer:The number of milk chocolates are 18 and the number of dark chocolates are 24.</h2>

Step-by-step explanation:

Let the number of milk chocolates be m.

Let the number of dark chocolates be d.

Given that the box contains the milk and dark chocolates in the ratio 3:4.

So,\frac{m}{d}=\frac{3}{4}               ...(i)

Given that the total number of chocolates are 42.

So,m+d=42.                                   ...(ii)

Using (i) and (ii),

m+\frac{4}{3}m=42

\frac{7}{3}m=42

m=18

d=\frac{4}{3}m=\frac{4}{3}\times 18=24

So,the number of milk chocolates are 18 and the number of dark chocolates are 24.

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