Answer:
Increase the slope
Step-by-step explanation:
The slope of this line is '3' ......a steeper line has a higher number than '3' in front of the 'x' like y = <u>4</u>x+3 or y = <u>7</u>x + 12
Answer:
y - 31 = 7/3(x - 12)
Step-by-step explanation:
Point slope form is: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point
Plug in the slope and the given point:
y - y1 = m(x - x1)
y - 31 = 7/3(x - 12)
So, the point-slope form of the line is y - 31 = 7/3(x - 12)
Answer:
And if we solve for a we got
Step-by-step explanation:
For this case we have the initial case we have a normal distribution given :
Where and
And from the info of the problem we know that:
We can verify this using the z score formula given by:
And if we replace we got:
Now we have another situation for a new random variable X with a new distribution given by:
Where and
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.023 of the area on the left and 0.977 of the area on the right it's z=-1.995. On this case P(Z<-1.995)=0.023 and P(z>-1.995)=0.977
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
Answer:
A
Step-by-step explanation:
To determine the scale factor compare the quotient of the coordinates of the image with the original coordinates
A
= = 2
B
= = 2
C
= = 2
Hence the scale factor is 2