Answer:
10cmsquare
Step-by-step explanation:
name the triangle ABC
use pythagoras theo.
ACsq=ABsq+BCsq
ACsq=5×5 + 4×4
ACsq=25+16
ACsq=41
AC=sq root 41
ar shaded region=(use pythagoras again with the shaded triangle)
root of 41×root of 41-4×4
=41-16
=25
root of 25=5cm
Answer:
96 ounces of lime
Step-by-step explanation:
12 ounces of lime to 10 ounces of water
80 ounces of water means the amount of water increased 8 times
so you have to increase the amount of lime 8 times as well
12 ×8 =96
Answer:
The confidence interval is from 69.82 o 82.18
Step-by-step explanation:
Using this formula X ± Z (s/√n)
Where
X = 76 --------------------------Mean
S = Standard Deviation
If Variance = 144
S = √144
S = 12
n = 25 ----------------------------------Number of observation
Z = 2.576 ------------------------------The chosen Z-value from the confidence table below
Confidence Interval || Z
80%. || 1.282
85% || 1.440
90%. || 1.645
95%. || 1.960
99%. || 2.576
99.5%. || 2.807
99.9%. || 3.291
Substituting these values in the formula
Confidence Interval (CI) = 76 ± 2.576 (12/√25)
CI = 76 ± 2.576(12/5)
CI = 76 ± 2.576(2.4)
CI = 76 ± 6.1824
CI = 76 + 6.1824 ~ 76 - 6.1824
CI = 82.1824 ~ 69.8176
CI = 82.18 ~ 69.82
In other words the confidence interval is from 69.8176 to 82.1824
Answer:
10, 11 , 16, 18 &19
Step-by-step explanation:
