Charlie has 12 feet of rope. He cuts it into pieces that are each of a foot long. How many pieces of rope will he have?
1 answer:
You might be interested in
Answer:
(22.74,24.06) is the required 95% confidence interval for the population mean ACT score of University of Oklahoma students.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 121
Sample mean = 23.4
Sample standard deviation = 3.65
Level of significance = 0.05
Degree of freedom
95% Confidence interval:
Calculation of critical value:
Putting the values, we get,
(22.74,24.06) is the required 95% confidence interval for the population mean ACT score of University of Oklahoma students.
Hello!
To find the slope-intercept form equation of the line that passes through the two points is found by first, calculating the slope using the slope formula and substitution, and secondly, finding the y-intercept of the equation through substitution.
Remember, slope-intercept form is written as: y = mx + b, where m is the slope and b is the y-intercept.
1. Find the slope
The slope formula is: . To use this formula, you need two points and also, you need to assign these points to
,
,
, and
.
In this case, and
is assigned to the ordered pair (1,3), while
and
is assigned to (3, 7). After assigning these points, you can substitute the pairs into the formula and simplify.
The slope of these two points is 2.
2. Find the y-intercept
To find the y-intercept, you substitute an ordered pair into the slope-intercept equation with the slope that was just calculated. We can use either ordered pair because it will result in the same y-intercept.
y = 2x + b (substitute)
3 = 2(1) + b (simplify)
3 = 2 + b (subtract 2 from both sides)
1 = b
The y-intercept of the two points is (0, 1).
With the necessary values to complete the equation, we can write the final equation.
The slope-intercept form equation of the line that passes through the points (1, 3) and (3, 7) is y = 2x + 1.