Answer:
46.86
Step-by-step explanation:
a^2+b^2=c^2
30^2+36^2=c^2
2196=c^2
Square root both sides
46.86=c
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:
33
Step-by-step explanation:
Area of a rectangle is length * width
X^2 - 3x + 2 =
(x - 1)(x - 2) <==
First we need to assume that the sum of the angles is also 180°. if one is less than 90°, the other will be more. we can do this because in a plane 4-sided polygon the sum of the inner angles will always be 360°, and we already know the two angles on the right side
so we can say that:
3x + 20 + x = 180
Since we got only one variable in this equation, we can already solve for x.
4x + 20 = 180
4x = 160
x = 40
the lower left angle is just 40°
the upper left is three times that plus 20, so it's 160°
hope this helps you to get the method