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Answer with explanation:</h2><h2 />
The confidence interval for population mean is given by :-

Given : Sample size : n= 5, since n<30 , so the test we use here is t-test.
Sample mean : 
Standard deviation: 
Significance level : 
By using the standard normal distribution table , the critical value corresponds to the given significance level will be :-

Now, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas will be :-

Hence, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas = (0.068, 3.732)
Answer:
a = 18.15
Step-by-step explanation:

Combine like terms on the left side of the equation first. Add 7 and 42, then subtract 32 from the answer you get, then subtract 32 from that answer. This is going by order of PEMDAS.
Remember PEMDAS: (numbers 3 & 4 and numbers 5 & 6 are solved from left to right)
- Parentheses
- Exponents
- Multiplication
- Division
- Addition
- Subtraction

After combining like terms on the left side, you get -15. Now combine like terms on the right side of the equation by adding 14.3 and 7.

Get -2a alone by subtracting 21.3 from both sides.

Divide both sides by -2.

In this equation, a should equal
.
Answer:
x = ± 5
Step-by-step explanation:
x² - 25 = 0 ( add 25 to both sides )
x² = 25 ( take square root of both sides )
x = ±
= ± 5
That is x = - 5, x = 5
The amount of apples picked by the farmers is:
Farmer A=38%=0.38
Farmer B=22%=0.22
Farmer C=0.29
Farmer D=0.2
Thus the order from the least to greatest by th number of apples they pick will be:
D,B,C,A
that is:
Farmer D, Farmer B, Farmer C, Farmer A