Answer:
The 99% confidence interval for the mean sodium content in Oriental Spice Sauce is between 454.67 milligrams and 1722.61 milligrams
Step-by-step explanation:
We have the standard deviation for the sample, so we use the 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 = 40 - 1 = 39
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 2.7079
The margin of error is:
M = T*s = 2.7079*234.12 = 633.97
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 1088.64 - 633.97 = 454.67 milligrams
The upper end of the interval is the sample mean added to M. So it is 1088.64 + 633.97 = 1722.61 milligrams
The 99% confidence interval for the mean sodium content in Oriental Spice Sauce is between 454.67 milligrams and 1722.61 milligrams
Answer:
multiply by 12: r = 18
Step-by-step explanation:
Use the multiplication property of equality. It tells you that multiplying both sides of an equation by the same value does not change the values of any of the variables. Here we can multiply by 12 and we get ...
r(12/12) = 1.5(12)
Now, the properties of the identity element for multiplication come into play. When we multiply r by 12/12=1, we do not change the value of r, so we can simplify this to ...
r = 18
_____
We chose to multiply by 12 precisely because 12/12 = 1, and the result on the left side of the equation is r.
slope-point form:
we need the slope (m) and a point.
y-y₀=m(x-x₀)
Given two point A(x₁,y₂) and B(x₂,y₂), the slope of the line is :
m=(y₂-y₁) /(x₂-x₁)
Example 3:
we can take two points:
A(12,2)
B(13,7)
m=(7-2) / (13-12)=5/1=5
therefore:
y-2=5(x-12)
y-2=5x-60
y=5x-60+2
y=5x-58
answer: y=5x-58
Example 4:
we can take two points.
A(0,0)
B(3,1)
m=(1-0)/(3-0)=1/3
Therefore:
y-0=1/3(x-0)
y=x/3
answer: y=x/3
The function represents the number of accidents (f(x)) per 50 million miles driven as a function of the driver's age (x).
f(45) indicates that you have to find the value of f(x) when x=45, to do so replace the equation of the function with the value of x and solve for f(x)
For x=45 years f(x)=190
f(45)=190; This value indicates that 45-year-old drivers had 190 accidents per 50 million miles driven.
Answer:
x = 19
the angles individually equal 39
Step-by-step explanation:
