Rafael is planting trees along his driveway, and he has 44 cypress trees and 44 dogwoods to plant in one row. What is the probab
1 answer:
Answer:
The probability is
Step-by-step explanation:
Given number of cypress trees = 44
Given number of dogwoods trees = 44
Now assume all cypress trees as 1 unit and dogwood trees as 1 unit.
So , there are 2 units
Now, the 2 units can be arranged in 2! ways.
here internally the 44 dogwoods and 44 cypress trees will not shuffled( as all are the same) we have
P( all trees of 44 cypress are next to each other and all 44 dogwoods trees are next to each other)
You might be interested in
Answer:
Step-by-step explanation:
Given that:
population mean = 10
standard deviation = 0.1
sample mean = 9.8 < x > 10.2
The z score can be computed as:
if x > 10.2
z = 2
If x < 9.8
z = -2
The p-value = P (z ≤ 2) + P (z ≥ 2)
The p-value = P (z ≤ 2) + ( 1 - P (z ≥ 2)
p-value = 0.022750 +(1 - 0.97725)
p-value = 0.022750 + 0.022750
p-value = 0.0455
Therefore; the probability of defectives = 4.55%
the probability of acceptable = 1 - the probability of defectives
the probability of acceptable = 1 - 0.0455
the probability of acceptable = 0.9545
the probability of acceptable = 95.45%
4.55% are defective or 95.45% is acceptable.
sampling distribution of proportions:
sample size n=1000
p = 0.0455
The z - score for this distribution at most 5% of the items is;
z = 0.6828
The p-value = P(z ≤ 0.6828)
From the z tables
p-value = 0.7526
Thus, the probability that at most 5% of the items in a given batch will be defective = 0.7526
The z - score for this distribution for at least 85% of the items is;
z = −15.86
p-value = P(z ≥ -15.86)
p-value = 1 - P(z < -15.86)
p-value = 1 - 0
p-value = 1
Thus, the probability that at least 85% of these items in a given batch will be acceptable = 1
Answer:
y=14
Step-by-step explanation:
Since this is an isosceles triangle due to opposite sides being congruent, the base angles would also be congruent.
plug in 25 in 2x and you would get 50°
Since the sum of a triangle is 180° you could set up an equation
Then, add 50+50=100+10=110
then you would then have
subtract 110 from 180, leaving you with 70
then divide and you would get 14
Check:
5(14)+10+50+50= 180