Answer:
Therefore there total of 39 children presented in group of people who attended a ball game.
Step-by-step explanation:
Given:
Total people present=52 .
And there are 3 times children as adults
To Find:
No.of Children Present in Group.
Solution:
<em>Consider 'x' be the children and 'y' be Adults presented in group.</em>
<em />
So there are total of 52 people.
Therefore Equation becomes,
x+y=52.
And also there are 3 times children presented in group as adults were.
So
Children=3 times adults
i.e.x=3y
Using in above Equation we get ,
x+y=52
3y+y=52
4y=52
y=52/4
y=13
Hence there are 13 adults presented in group
So ,
No.of Children=x=3y
=3(13)
=39
No.of.Children =39
Answer:
y - b = -4(x - a)
Step-by-step explanation:
If the line passes through (a, b), then the point-slope form of the equation of the line is y - b = -4(x - a). Where's the line you mention?
The simple/ <span>common sense method:
</span>The typical lay out of a quadratic equation is ax^2+bx+c
'c' represents where the line crosses the 'y' axis.
The equation is only translated in the 'y' (upwards/downwards) direction, therefore only the 'c' component of the equation is going to change.
A translation upwards of 10 units means that the line will cross the 'y' axis 10 places higher.
9+10=19,
therefore <u>c=19</u>.
The new equation is: <u>y=x^2+19 </u>
<span>
<span>The most complicated/thorough method:
</span></span>This is useful for when the graph is translated both along the 'y' axis and 'x' axis.
ax^2+bx+c
a=1, b=0, c=9
Find the vertex (the highest of lowest point) of f(x).
Use the -b/2a formula to find the 'x' coordinate of your vertex..
x= -0/2*1, your x coordinate is therefore 0.
substitute your x coordinate into your equation to find your y coordinate..
y= 0^2+0+9
y=9.
Your coordinates of your vertex f(x) are therefore <u>(0,9) </u>
The translation of upward 10 units means that the y coordinate of the vertex will increase by 10. The coordinates of the vertex g(x) are therefore:
<u>(0, 19) </u>
substitute your vertex's y coordinate into f(x)
19=x^2+c
19=0+c
c=19
therefore <u>g(x)=x^2+19</u>
Answer:
D) Health insurers can never discriminate based on genetic information in this way
Answer:

Step-by-step explanation:
<u>Simple Linear Regression
</u>
It a function that represents the relationship between two or more variables in a given data set. It uses the method of the least-squares regression line which minimizes the error between the estimate function and the real data.
Let's compute the best-fit line for the data


First, we find the sums


Then, we compute the averages values


We will also compute the sums of the cross-products and the sum of the squares



We will compute Sxy and Sxx





The slope of the linear regression function is given by

The y-intercept ot the linear function is


Thus the best-fit line is

The correct option is the last one