Answer:
probability of lasting longer = 1.7%
Step-by-step explanation:
We are given:
x' = 14 years
μ = 12.3 years
s = 0.8 years
Thus, let's use the formula for the Z-score value which is;
z = (x' - μ)/s
Thus;
z = (14 - 12.3)/0.8
z = 2.125
From the z-distribution table attached, the p-value is ;
P(x' > 2.125) = 1 - 0.983 = 0.017 = 1.7%
Thus,probability of lasting longer = 1.7%
2x + 2(5+x)=10
2x+10+2x=10
4x+10=10
4x=0
X=0
Box Plot has less variability in the data. We can determine this by the distances between the beginning of the data to the end (range) and the distances between lower quartile and the upper quartile (interquartile range).
Box #1
Range - 30
IQR - 15
Box #2
Range - approximately 23
IQR - approximately 9
Box #2 has less variation in the data because the distances between these 2 ranges are smaller meaning the data is closer together.
Answer: b=101 c=79 d=101
Step-by-step explanation:
since it is a parallelogram opposite angels are congruent a = c ad b=d
because we know a=79 c must equal 79
and because all the angles must add up to 360 add 79+79 = 158
then subtract from 360- 158= 202 then divide by 2 and this will give us the value for b and d b,d=101
Basically they're both equal
4x-3=x+7
-x. -x
3x-3=7
+3 +3
3x=10
X=10/3
