Okay, move the decimal behind the 8. There are 4 places before the decimal so it is nagitive. If there are places Infront of the decimal is nagitive. So the answer is 8.235×10-4
Answer:
Option a) u is called the "error term". It is the error we make in prediction
Option d) x is called the independent variable because x is independent from y and u.
Step-by-step explanation:
We are given the following information in the question:
![y = \beta_0 + \beta_1x + u](https://tex.z-dn.net/?f=y%20%3D%20%5Cbeta_0%20%2B%20%5Cbeta_1x%20%2B%20u)
where y is the dependent variable, x is the independent variable.
: It is the value of y when x is zero, that is y-intercept.
: It is the coefficient of x in predicting the dependent variable y.
u is the error term.
- An error term represents the margin of error.
- It refers to the sum of the deviations within the regression line, that is the difference between the predicted value and the observed value of y.
Thus, Option A) u is the error term and Option D) x is called the independent variable because x is independent from y and u are the correct answer.
Answer:
Step-by-step explanation:
<em>The complete question is </em>
What is the length of line segment RS? Use the law of sines to find the answer. Round to the nearest tenth.
see the attached figure to better understand the problem
step 1
Find the measure of angle S
Applying the law of sines
![\frac{QS}{sin(R)}=\frac{QR}{sin(S)}](https://tex.z-dn.net/?f=%5Cfrac%7BQS%7D%7Bsin%28R%29%7D%3D%5Cfrac%7BQR%7D%7Bsin%28S%29%7D)
substitute the given values
![\frac{3.1}{sin(80^o)}=\frac{2.4}{sin(S)}](https://tex.z-dn.net/?f=%5Cfrac%7B3.1%7D%7Bsin%2880%5Eo%29%7D%3D%5Cfrac%7B2.4%7D%7Bsin%28S%29%7D)
Solve for sin(S)
![sin(S)=\frac{sin(80^o)}{3.1}(2.4)](https://tex.z-dn.net/?f=sin%28S%29%3D%5Cfrac%7Bsin%2880%5Eo%29%7D%7B3.1%7D%282.4%29)
![S=sin^{-1}[sin(80^o)}{3.1}(2.4)]](https://tex.z-dn.net/?f=S%3Dsin%5E%7B-1%7D%5Bsin%2880%5Eo%29%7D%7B3.1%7D%282.4%29%5D)
![S=49.68^o](https://tex.z-dn.net/?f=S%3D49.68%5Eo)
step 2
Find the measure of angle Q
Remember that the sum of the interior angles in any triangle mut b equal to 180 degrees
so
![m\angle Q+m\angle R+m\angle S=180^o](https://tex.z-dn.net/?f=m%5Cangle%20Q%2Bm%5Cangle%20R%2Bm%5Cangle%20S%3D180%5Eo)
substitute the given values
step 3
Find the length of segment RS
Applying the law of sines
substitute the given values
Answer:
56 total
Step-by-step explanation:
Let the number of girls = x
Let the number of boys = 3x
x 1
=== = ==========
x + 28 3
Cross multiply
3x = x + 28 Subtract x from both sides
3x - x = 28 Combine
2x = 28 Divide by 2
x = 28/2
x = 14
Girls = 14
Boys = 14 + 28 = 42
Is the ratio 3 to 1?
42/14 = 3/1 Yes it does
Total number
14 + 42 = 56
First one
On the second one the out side perimeter counts as the 5th square