The number that expresses 6.72 as a fraction is simplest form is...
6.72= 168/25
They sold 1620 units in total during the busiest month. Due to this, the highest month for coat sales is 450% of the lowest month. They sell 360 units in the month with the lowest sales.
<h3>What is equation?</h3>
When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions.
Let x represent the largest number of jackets sold during the busiest month.
So, x= 450% of 360
⇒x=4.5 × 360
⇒x=1,620
So, 1620 units total were sold by them during the busiest month.
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The table is a linear regression model, and the equation of the regression model is y = 0.24x + 0.77
<h3>The scatter plot that represents the table</h3>
See attachment for the required scatter plot
<h3>The best model of the scatter plot</h3>
From the attached scatter plot, we can see that the points are almost on a straight line
Hence, the best model that fits the scatter plot is a linear model
<h3>The equation of the regression model</h3>
Using a graphing calculator, we have the following calculation summary:
- Sum of x = 28
- Sum of y = 12.1
- Mean X = 4
- Mean Y = 1.7286
- Sum of squares (SSX) = 28
- Sum of products (SP) = 6.7
- b = SP/SSX = 6.7/28 = 0.23929
- a = MY - bMX = 1.73 - (0.24*4) = 0.77143
The regression equation is represented as:
y = bx + a
So, we have:
y = 0.23929x + 0.77143
Approximate
y = 0.24x + 0.77
Hence, the equation of the regression model is y = 0.24x + 0.77
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Answer:
Step-by-step explanation:
Given
Required
The explicit formula
The above sequence is an arithmetic sequence and it is bounded by:
Where
-- the first term
So, we have:
Express as improper fraction
Take LCM
So, we have:
Express all fractions as improper
Open brackets
Collect like terms
Given that the roots of the equation x^2-6x+c=0 are 3+8i and 3-8i, the value of c can be obtained as follows;
taking x=3+8i and substituting it in our equation we get:
(3+8i)^2-6(3+8i)+c=0
-55+48i-18-48i+c=0
collecting the like terms we get:
-55-18+48i-48i+c=0
-73+c=0
c=73
the answer is c=73