<u>Answer</u>
2,268
<u>Explanation</u>
<u>
</u>
<u>By grouping 378 ca</u>n be written as,
378 = 300 + 70 + 8
6× 378 = 6 × (300 + 70 + 8)
= (6×300)
+ (6×70) + (6×8)
= 1800
+ 420 + 48
= 2,268
Answer:
C.6
Step-by-step explanation:
Answer:
The sale price is $11.70
Step-by-step explanation:
70% of 39 is 27.3 - to find this, you just multiply 39 x .7 = 27.3
Subtract 27.3 from 39
Your get 11.7
Answer:
<h3>
The Option B) Multiple regression is correct</h3><h3>Regression analysis involving one dependent variable and more than one independent variable is known as <u>multiple regression.</u></h3>
Step-by-step explanation:
Given that regression analysis involving one dependent variable and more than one independent variable
For : Regression analysis involving one dependent variable and more than one independent variable is known as <u>multiple regression</u>
- In statistics, a linear regression is a linear relationship between a dependent variable and one or more independent variables.
- In statistics for more than one independent variable and with one dependent variable in regression analysis , then the regression is called as multiple regression.
- Therefore Option B) Multiple regression is correct
<h3>Regression analysis involving one dependent variable and more than one independent variable is known as <u>
multiple regression</u>.</h3>
Answer:
radius = 13
Step-by-step explanation:
Look at the attached picture below. We can calculate radius with the help of the Pythagorean theorem. But first we have to find out the values of the two legs.
First let's find the shorter leg.
<u>Equidistant Chords Theorem</u>
Two chords are congruent if they are equidistant from the center.
Chords in the picture are congruent and that means that the distance from the center to each of them is the same!
Let's calculate the distance. But to get the distance we have to find x first.
Since the distances are the same:
![x + 3 = 2x + 1\\2 = x](https://tex.z-dn.net/?f=x%20%2B%203%20%3D%202x%20%2B%201%5C%5C2%20%3D%20x)
Therefore:
![\text{distance (short leg)} = 2x + 1 = 2\cdot2 + 1 = 5](https://tex.z-dn.net/?f=%5Ctext%7Bdistance%20%28short%20leg%29%7D%20%3D%202x%20%2B%201%20%3D%202%5Ccdot2%20%2B%201%20%3D%205)
Let's focus on the longer leg. Since part of the radius is perpendicular to the chord, it actually bisects the chord! That means that the long leg is going to be a half of the length of the chord.
Therefore:
![\text{long leg} = \frac{\text{chord}}{2} = \frac{24}{2} = 12](https://tex.z-dn.net/?f=%5Ctext%7Blong%20leg%7D%20%3D%20%5Cfrac%7B%5Ctext%7Bchord%7D%7D%7B2%7D%20%3D%20%5Cfrac%7B24%7D%7B2%7D%20%3D%2012)
All that is left is the Pythagorean Theorem in the right triangle.
<u>Pythagorean Theorem</u>
![\text{hypotenuse}^2 = \text{leg}_1^2 + \text{leg}_2^2](https://tex.z-dn.net/?f=%5Ctext%7Bhypotenuse%7D%5E2%20%3D%20%5Ctext%7Bleg%7D_1%5E2%20%2B%20%5Ctext%7Bleg%7D_2%5E2)
Hypotenuse in our case is the radius.
![\text{radius}^2 = 5^2 + 12^2\\\text{radius}^2 = 25 + 144\\\text{radius}^2 = 169\\\text{radius} = 13](https://tex.z-dn.net/?f=%5Ctext%7Bradius%7D%5E2%20%3D%205%5E2%20%2B%2012%5E2%5C%5C%5Ctext%7Bradius%7D%5E2%20%3D%2025%20%2B%20144%5C%5C%5Ctext%7Bradius%7D%5E2%20%3D%20169%5C%5C%5Ctext%7Bradius%7D%20%3D%2013)