Check the picture below.
notice the solid circle at -4 and 3, since it includes those points.
also notice the dashed line, though the lines keeps on going those ways, is not included in the piece-wise, since it's not part fo the domain or constraints.
Answer:
Point estimate for the population variance = 3.92 *
.
Step-by-step explanation:
We are given that a sample of 5 strings of thread is randomly selected and the following thicknesses are measured in millimeters ;
X X -
1.13 1.13 - 1.188 = -0.058 3.364 * 
1.15 1.15 - 1.188 = -0.038 1.444 *
1.15 1.15 - 1.188 = -0.038 1.444 * 
1.24 1.24 - 1.188 = 0.052 2.704 * 
1.27 1.27 - 1.188 = 0.082 <u> 6.724 * </u>
<u> </u>
<u>= 0.01568 </u>
Firstly, Mean of above data,
=
=
= 1.188
Point estimate of Population Variance = Sample variance
=
=
= 3.92 *
.
Therefore, point estimate for the population variance = 3.92 *
.
1/5 = x/1100
5x = 1100
x = 1100 ÷ 5
x = 220
So 220 people named blue as fav.
3/10 = x/1100
3x = 1100
x = 1100 ÷ 3
x = 366.6666.... = 367
So 367 people chose red
Hey there! I'm happy to help!
Sum means you add. Let's call our number n.
n+15
We double the whole thing.
2(n+15)
This is equal to something.
2(n+15)=
Difference means you subtract.
2(n+15)=n-6.
Have a wonderful day! :D
12squared add 5squared=144+25=169 B=square root of 169 which is 13