Answer:
67/20
Step-by-step explanation:
67/20=3.35
In a class of 24 kids, for every 1 boy there are 4 girls
We first subtract 44 from both sides so that the equation becomes -13x^2 + 17x - 5 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -17 ± √(17^2 - 4(-13)(-5)) ] / ( 2(-13) )
x = [ -17 ± √(289 - (260) ) ] / ( -26 )
x = [ -17 ± √(29) ] / ( -26)
x = [ -17 ± sqrt(29) ] / ( -26 )
x = 17/26 ± -sqrt(29)/26
The answers are 17/26 + sqrt(29)/26 and 17/26 - sqrt(29)/26.
Answer: Check out the attached diagram below for the filled out table.
Explanation:
- A) This is correct. You basically stick a minus sign out front to reflect over the x axis (aka the line y = 0).
- B) Replacing x with x+2 will shift the graph 2 units to the left. Adding on 3 at the end will shift it up 3 units.
- C) A vertical stretch, aka vertical dilation, makes the graph taller than it already is. In this case, we want to stretch it to make it twice as tall. That explains the 2 out front. The negative is there to reflect over the x axis.
- D) The -2 is to apply a dilation of 2 and do a reflection. The +6 is so ensure that the vertex arrives at the proper location (0,6) so that we reflect over y = 3.
- E) This is similar to part B. Replacing x with x-3 shifts the graph 3 units to the right. We subtract off 2 at the end to shift the graph down 2 units. The 1/2 out front applies the dilation, which in this case is a vertical compression by a factor of 2.
- F) A vertical compression by a factor of 4 is the same as dilating by a factor of 1/4. So we'll multiply f(x) by 1/4.
- G) Similar to part F, but we'll be using the scale factor 4 this time.

Answer:
B. The second confidence interval would be 3 times as wide as the original confidence interval.
Step-by-step explanation:
i actually dont know but thnks for the points BTW