the question doesn't say how many dolls. there would be an infinite number.
But we'll just form the equation for the nth doll.
Largest doll = 12 inches
2nd doll = (12) x 0.7
3rd doll = (12 x 0.7) x 0.7
4th doll = [(12 x 0.7) x 0.7) x 0.7
OK, We now see the pattern. Each successive doll is mult by the previous
doll height x 0.7
the Nth doll, 12 is mult by 0.7(n-1)
So, the height of the nth doll can be expressed as: 12 x 0.7(n-1)
example: 4th doll = 12 x 0.7(4-1) = 12 x 0.73
10th doll = 12 x 0.7(10-1) = 12 x 0.79 etc
Answer: 96.2%
Step-by-step explanation:
Assume that the heights of American men are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = heights of American men.
µ = mean height
σ = standard deviation
From the information given,
µ = 69.0 inches
σ = 2.8 inches
the probability of men that have heights between 64 and 78 inches is expressed as
P(64 ≤ x ≤ 78)
For x = 64,
z = (64 - 69)/2.8 = - 1.79
Looking at the normal distribution table, the probability corresponding to the z score is 0.037
For x = 78,
z = (78 - 69)/2.8 = 3.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.999
Therefore,
P(64 ≤ x ≤ 78) = 0.999 - 0.037 = 0.962
Therefore, the percent of men meeting these height requirements is
0.962 × 100 = 96.2%
Complete question :
Leah is creating satin bows for a wedding. From a 15-meter-long ribbon, she first cuts a piece 3 4/9 meters long. Then she cuts a piece 6 5/9 meters long from the remaining ribbon. How much ribbon does Leah have left?
Answer:
5 m
Step-by-step explanation:
Total ribbon cut :
3 4/9 + 6 5/9 =
31/9 + 59/9
= 90 /9
= 10 meters
Total Length of ribbon = 15 m
Ribbon left :
15 - 10 = 5 m
Answer:
7 miles in all
Step-by-step explanation:
1
5.5
+1.5
= 7.0