There are some hens and some sheeps are in a farm,total number of animals are 10 and total number of their legs are 32 1.Find nu
1 answer:
Answer: The number of hens are 4 and number of sheeps are 6
Step-by-step explanation:
Given : Total animals = 10
Total number of legs = 32
Let number of hens = h and number of sheep = s
Thus h+s = 10 (1)
Now each hen has two legs and each sheep has 4 legs : (2)
Solving for h and s we get:
s = 6 , h =4
Thus number of hens are 4 and number of sheeps are 6
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Answer:
a
The 95% confidence interval is
b
The sample proportion is
c
The critical value is
d
The standard error is
Step-by-step explanation:
From the question we are told that
The sample size is n = 200
The number of defective is k = 18
The null hypothesis is
The alternative hypothesis is
Generally the sample proportion is mathematically evaluated as
Given that the confidence level is 95% then the level of significance is mathematically evaluated as
Next we obtain the critical value of from the normal distribution table, the value is
Generally the standard of error is mathematically represented as
substituting values
The margin of error is
=>
=>
The 95% confidence interval is mathematically represented as
=>
=>