Answer: 0.24 +/- 0.088 = (0.152, 0.328)
Step-by-step explanation:
The point estimate p is given by;
p= 24/ 100 = 0.24
Z value for 96% confidence interval is 2.05
The solution for the given confidence interval is derived using the equation
p +/- z√(pq/n)
Where p = 0.24 q= 1-p = 0.76, n=100 z= 2.05
= 0.24 +/- 2.05√(0.24×0.76/100)
= 0.24 +/- 2.05(0.0427)
=0.24 +/- 0.088
= ( 0.152, 0.328)
Recall that 
and 
for all 
. So
For 
, we expect both 
and 
(i.e. the sine and cosine of any angle that lies in the first quadrant must be positive). By definition of absolute value, 
if 
.
So we have
making H the answer.
C is always true, because the inequality reduces to x > y.
Arranging the given distances from sea level on the number line, we have;
- The error made by taking Egypt as being further from the sea level is assuming that the sea level is at the beginning (left) of the number line.
<h3>How can the number line be used to find the distance from the sea level?</h3>
The given elevation of the lowest points in the six countries are;
Country. Lowest point elevation (m)
China. →. -154
Egypt →. -133
Azerbaijan → -28
Serbia. →. 35
Israel. → -408
Laos. →. 70
Sorting the above countries from the country with the lowest point below sea level to the country with the highest point above sea level gives;
Israel → -408
China → -154
Egypt → -133
Azerbaijan → -28
Serbia. → 35
Laos. →. 70
On a number line, we have;
Israel < China < Egypt < Azerbaijan < Serbia < Laos
Relative to zero, which is the sea level, points -133 and -154 are located to the left of zero.
However, point -133 > -154, therefore, -154 < -133, the symbol < represents lesser (in this case 'lower') which indicates that China (point -154) is lower or further left from zero which is the sea level than Egypt (point -133).
The error is therefore mistaking the location of the sea level as being at the extreme left of the number line, rather than at the middle.
Learn more about the number line here:
brainly.com/question/4727909
#SPJ1
Hi there!
The perimeter is when you add all the sides of a shape. In a rectangle, two sides are the same, and so are the other two. So, if the two sides are 2x-3 and x+2 the expression will be:
2(2x-3) + 2(x+2)
If we were to simplify this, it would be
4x-6+2x+4
6x-2
Hope this helps!
