To solve for the confidence interval for the population
mean mu, we can use the formula:
Confidence interval = x ± z * s / sqrt (n)
where x is the sample mean, s is the standard deviation,
and n is the sample size
At 95% confidence level, the value of z is equivalent to:
z = 1.96
Therefore substituting the given values into the
equation:
Confidence interval = 3 ± 1.96 * 5.8 / sqrt (51)
Confidence interval = 3 ± 1.59
Confidence interval = 1.41, 4.59
Therefore the population mean mu has an approximate range
or confidence interval from 1.41 kg to 4.59 kg.
Answer:
Step-by-step explanation:
Given [Missing from the question]
Equation:
Interval:
Required
Determine the values of 
The given expression:
... shows that the value of is positive
The cosine of an angle has positive values in the first and the fourth quadrants.
So, we have:
Take arccos of both sides
--- In the first quadrant
In the fourth quadrant, the value is:
So, the values of in degrees are:
Convert to radians (Multiply both angles by 
)
So, we have:
I believe it would be 5.1 if this is incorrect then I’m so sorry
Answer:
Length = 9 inches
Step-by-step explanation:
The perimeter of a rectangle is:
perimeter = 2(length + width)
24 = 2(a+b)
a = b + 6
a = length
b = width
then:
24 = 2((b+6)+b)
24/2 = b+6+b
12 = 2b + 6
12-6 = 2b
6 = 2b
b = 6/2
b = 3 inches
a = b+6
a = 3+6
a = 9 inches
Check:
24 = 2(9+3)
24 = 2*12
(3x+8)(2x + 6)
6x^2+18x+16x+42
6x^2+34x+42
using the foil method, you can expand the given expression. It is already in simplified form with the given (3x+8)(2x+6)
