Answer:
71.123 mph ≤ μ ≤ 77.277 mph
Step-by-step explanation:
Taking into account that the speed of all cars traveling on this highway have a normal distribution and we can only know the mean and the standard deviation of the sample, the confidence interval for the mean is calculated as:
≤ μ ≤ 
Where m is the mean of the sample, s is the standard deviation of the sample, n is the size of the sample, μ is the mean speed of all cars, and 
is the number for t-student distribution where a/2 is the amount of area in one tail and n-1 are the degrees of freedom.
the mean and the standard deviation of the sample are equal to 74.2 and 5.3083 respectively, the size of the sample is 10, the distribution t- student has 9 degrees of freedom and the value of a is 10%.
So, if we replace m by 74.2, s by 5.3083, n by 10 and 
by 1.8331, we get that the 90% confidence interval for the mean speed is:
≤ μ ≤ 
74.2 - 3.077 ≤ μ ≤ 74.2 + 3.077
71.123 ≤ μ ≤ 77.277
Temperature changes depending on the time of the day.
Step-by-step explanation:
Don't worry, I'll help you!
1. What is a function?
"In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x2<span>."
</span>2. What is the difference between a linear and non-linear function?
"The equation of a linear function has no exponents higher than 1, and the graph of a linear function is a straight line. The equation of a nonlinear function has at least one exponent higher than 1, and the graph of a nonlinear function<span> is a curved line."
</span>
<span>3. Constant Interval, and how does it appear on a graph
</span>Definition:
"Determine the intervals on which a function is increasing, decreasing or constant<span> by looking at a graph. Determine if a function is even, odd, or neither by looking at a graph. Determine if a function is even, odd, or neither given an equation."
How does it appear on a graph?
</span>
"Functions can either be constant, increasing as x increases, or decreasing as x<span> increases."
</span>
<span>4. Identifying the rate of change
</span>
Yes, you can:
"Consider the line y = 2x + 1, shown at the right. Notice that this slope will be the same if the points (1,3) and (2, 5) are used for the calculations. For straight lines, therate of change<span> (slope) is constant (always the same). For every one unit that is moved on the x-axis, two units are moved on the y-axis."
</span>
<span>5. Determining if it is a linear function or not
</span>
"A linear function<span> is in the form y = mx + b or f(x) = mx + b, where m is the slope or rate of change and b is the y-intercept or where the graph of the line crosses the y axis. You will notice that this </span>function<span> is degree 1 meaning that the x variable has an exponent of 1."
</span>
THAT IS IT!! YAY!!! HOPE THIS HELPED ON YOUR REVIEW!!
-Jina Wang, from Middle School
Answer:
18x+20=2
18(-1)+20=2
Step-by-step explanation:
18(-1)=-18
-18+20=2
Answer:
x = 3.5714
Step-by-step explanation:
14x = 50
Divide 50/14
x = 3.5714
