1. 22
2.34
3. first one
hope this helps
Answer:
a) 0.1003
b) 35.26
c) 21.92
d) Middle 80% smallest 10% and largest 10% = 20.02 and 39.98
Step-by-step explanation:
Given that: mean ц = 30 , standard deviation δ = 7.8
a) P(x ≤ 20)
= P [ (x - ц ) / δ ≤ ( 20 -30) / 7.8 ]
= P(z ≤ -1.28)
= 0.1003
probability = 0.1003
b) 75th percentile
P(Z < z) = 0.75
z = 0.674
Using z-score formula
x = z * δ + ц
x = 0.674 * 7.8 + 30
x = 35.26
c) 15th percentile
P(Z < z) = 0.15
z = -1.036
Using z-score formula
x = z * δ + ц
x = (-1.036) * 7.8 + 30
x = 21.92
d) Middle 80%
P(-z ≤ Z ≤ z) = 0.80
P(Z ≤ z) - P(Z ≤ -z) = 0.80
2P(Z ≤ z) - 1 = 0.80
2P(Z ≤ z) = 1 + 0.80 = 1.80
P(Z ≤ z) = 1.80 / 2 = 0.90
P(Z ≤ ± 1.28) = 0.90
z = -1.28, + 1.28
x = z * δ + ц
x = (-1.28) * 7.8 + 30
x = 20.02
x = z * δ + ц
x = 1.28 * 7.8 + 30
x = 39.98
Middle 80% two values = 20.02 and 39.98
smallest 10%
P(Z < z) = 0.10
z = -1.28
Using z-score formula
x = z * δ + ц
x = ( -1.28) * 7.8 + 30
x = 20.02
largest 10%
P(Z > z ) = 0.10
1 - P(z < z) = 0.10
P(z < z) = 1 - 0.10 = 0.90
z = 1.28
Using z-score formula
x = z * δ + ц
x = (1.28) * 7.8 + 30
x = 39.98
Answer:
Following are the solution to the given question:
Step-by-step explanation:
For question 1:
Calculating the speed between A and B:
For question 2:
Calculating the speed between B and C:
For question 3:
In this the speed between A and B is the double to speed between B and C.
Let
x---------------> number of <span>bulbs produced per year
n--------------> number of years
</span>we know that
the pattern can be modeled through the following equation
x=6*[2^(n-1)]
for n=1 year
x=6*[2^(1-1)]----------> 6 bulbs
for n=2 year
x=6*[2^(2-1)]----------> 12 bulbs
for n=3 year
x=6*[2^(3-1)]----------> 24 bulbs
for n=8 year
x=6*[2^(8-1)]----------> 6*128=768 bulbs
the answer is 768 bulbs