Step-by-step explanation:
Given precision is a standard deviation of s=1.8, n=12, target precision is a standard deviation of σ=1.2
The test hypothesis is
H_o:σ <=1.2
Ha:σ > 1.2
The test statistic is
chi square =
=
=24.75
Given a=0.01, the critical value is chi square(with a=0.01, d_f=n-1=11)= 3.05 (check chi square table)
Since 24.75 > 3.05, we reject H_o.
So, we can conclude that her standard deviation is greater than the target.
Roger: $24
Bethan: $36
Explanation:
4/5 of $75 is $60
So $60 is distributed to Roger and Bethan in the ratio 2 : 3.
Add the numbers in the ratio 2 : 3
2 + 3 = 5
Divide $60 by 5
60 ÷ 5 = 12
Multiply each number in the ratio 2 : 3 by 12:
2 • 12 : 3 • 12
= 24 : 36
I’m sorry if I explained this badly
But if my answer was correct, brainliest please!
Have a nice day!
-SpaceMarsh :D
Answer:
Step-by-step explanation:
First off, we are given a parabola by definition:
Since , our parabola has an upward opening.
Should we think about it graphically, it will be no wonder that we should pay our attention to the points of the parabola intersecting the abscissa axis. In other words, we need our vertex to intersect the x axis only once per se.
The vertex:
As a result, our is parametric. suits us because . If , we do not have any roots at all. We have two roots if .
Answer:
23
Step-by-step explanationthats too easy
length, l = 8.5ft
width, w
perimeter, p = 2(l+w) < 26...eqn 1
subst for l = 8.5 in eqn 1
p = 2(8.5+w) <26
expanding eqn... 2(8.5) + 2w < 26
fence length is 26ft therefore perimeter must be less than or equal (<)to 26