Answer:
The 95% confidence interval for mean tire life is between 52,368.4 kilometers and 67,911 kilometers.
Step-by-step explanation:
We are in posession of the sample's standard deviation, so we use the students t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 16 - 1 = 15
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.68
The margin of error is:
M = T*s = 2.1315*3645.94 = 7771.3
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 60139.7 - 7771.3 = 52,368.4.
The upper end of the interval is the sample mean added to M. So it is 60139.7 + 7771.3 = 67,911.
The 95% confidence interval for mean tire life is between 52,368.4 kilometers and 67,911 kilometers.
Answer:
Sale price= $26.25
Step-by-step explanation:
Giving the following information:
Selling price= $35
Discount rate= 25%
<u>To calculate the sale price of the sweater, we need to use the following formula:</u>
<u></u>
Sale price= selling price*(1 - discount rate)
Sale price= 35*(1 - 0.25)
Sale price= 35*0.75
Sale price= $26.25
Answer:
she has 4.5
and she should´ve got bacon egg and cheese than that burger
Answer:
The area of the shape is 
.
Step-by-step explanation:
The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.
Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.
To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.
First separate the composite shape into three simpler shapes, in this case two rectangles and a triangle. Then find the area of each figure.
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
The area of the first rectangle is 
The area of the second rectangle is 
The area of a triangle is given by the formula 
where <em>b</em> is the base and <em>h</em> is the height of the triangle.
The area of the triangle is 
Finally, add the areas of the simpler figures together to find the total area of the composite figure.
Answer:
m∠XMN = 80°
Step-by-step explanation:
you know that:
4x + 5 + 6x - 10 = 145
solve for x:
10x - 5 = 145
10x = 150
x = 15
Use this information to solve for m∠XMN
6(15) - 10
90 - 10
80
m∠XMN = 80°
