4 (whole number) and 5/10 (.50 over 100)
Answer:
D. no solution
Step-by-step explanation:
substitute y = 2x + 3 in
2y = 4x + 10
gives 2(2x+3) = 4x + 10
4x - 4x = 10 - 6
therefore the equation has no solution
3 + 4x = 2y - 9
2y = 4x + 3 + 9
2y = 4x + 12
y = 2x + 6
if it's parallel, than if y = ax + b, a = 2 and you need to find b
(4, -4)
x = 4
y = -4
-4 = 2*4 + b
-4 = 8 + b
b = -12
so an equation is:
y = 2x - 12
10 4/10 or 10 2/5 if you reduce it
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
