The campers asked their counselor to tell them her age. She replied, “If you add four years to my present age, the result will b
2 answers:
Thus the counselor's age is 20 years.
<h2>Linear system</h2>It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
<h3>Ratio and proportion</h3>A ratio is an ordered pair of numbers a and b, written as a/b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Given
Add four years to my present age, the result will be two times my camper’s.
Five years ago my age was 3/4 of what hers will be in eight years.
<h3>To find </h3>The present age of counselor.
<h3>How to find the present age of counselors?</h3>Add four years to my present age, the result will be two times my camper’s. then,
y +4 = 2x .....1
Five years ago my age was 3/4 of what hers will be in eight years.
.....2
From equation 1 and 2
Put the value of x in equation 2, then
y + 4 = 2x
y + 4 = 2 *12
y = 24 - 4
y = 20
Thus the counselor's age is 20 years.
More about the linear system link is given below.
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<h3>Let the number be x</h3>
- Divide the numbers
- Multiply all terms by the same value to eliminate fraction denominators
- Cancel multiplied terms that are in the denominator
- Multiply the numbers
Answer:
The confidence interval on this case is given by:
(1)
For this case the confidence interval is given by (62.532, 76.478)[/tex]
And we can calculate the mean with this:
So then the mean for this case is 69.505
Step-by-step explanation:
Previous concepts
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
represent the sample mean
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
Assuming the X follows a normal distribution
The confidence interval on this case is given by:
(1)
For this case the confidence interval is given by (62.532, 76.478)[/tex]
And we can calculate the mean with this:
So then the mean for this case is 69.505