X=2/3y because you want to know what roberts time is
Answer: J
Step-by-step explanation:
Answer:
7/4 or 1.75 drops
Step-by-step explanation:
In one gallon there are 128 ounces, if it takes 28 drops of coloring to turn 128 ounces of milk green then:
28/128
7/32
it takes 7/32 drops of food coloring to turn one ounce of milk green.
for 8 ounces, you multiply it by 8:
8*7/32
7/4≈1.75
∴ It would take 1.75 or 7/4 drops of coloring to turn 8 ounces of milk green.
Answer:
a. 250 fields
b. 220 to 280 fields
c. Fields are not independent
Step-by-step explanation:
a. The average number of fields sampled that are infested with whitefly =
number of fields X Percentage sampled, 10%
= 2500 X 10% = 250 fields
b. Going by the binomial distribution is the square of the standard deviation, divided by (the product of the sample size n, and the probability a and b). While the standard deviation is the square root of the variance
σ = √nab
= √na(1-a) = √2500 X 10% X (1- 10%)
= √225 = 15
Now let's use the empirical rule that says about 95% of the observations are within two standard deviations from the mean since the number of trials is very large
μ - 2σ = 250 - 2(15) = 220
μ + 2σ = 250 + 2(15) = 280
Approximately 220 to 280 fields are expected to be infested going by 95% probability observation
c. Since x=25 is considered small and is not captured within 220 and 280 fields making one of the characteristics of binomial experiment not satisfied which expects each field to be independent. Making fields that are close together more likely to be infected.
Answer:
a

b

c
With the result obtained from a and b the manager can be 95 % confidence that the proportion of the population that complained about dirty or ill-equipped bathrooms are within the interval obtained at a
and that
the proportion of the population that complained about loud or distracting diners at other tables are within the interval obtained at b
Step-by-step explanation:
From the question we are told that
The sample size is 
The number that complained about dirty or ill-equipped bathrooms is 
The number that complained about loud or distracting diners at other tables is 
Given that the the confidence level is 95% then the level of significance is mathematically represented as


Next we obtain the critical value of
from the normal distribution table , the value is

Considering question a
The sample proportion is mathematically represented as

=> 
=> 
Generally the margin of error is mathematically represented as



The 95% confidence interval is



Considering question b
The sample proportion is mathematically represented as

=> 
=> 
Generally the margin of error is mathematically represented as



The 95% confidence interval is


