Considering the situation described, we have that:
- The appropriate null hypotheses is
.
- The appropriate alternative hypotheses is
.
<h3>What are the hypotheses tested?</h3>
At the null hypotheses, it is tested if the mean has not been reduced, that is, it still is of 5.2 hours, hence:
.
At the alternative hypothesis, it is tested if the mean has been reduced, that is, it is now of less than 5.2 hours, hence:

More can be learned about hypotheses tests at brainly.com/question/26454209
By expanding D it is clear that it is the factored form of 2/3x + 4
as 2/3x + 4 = 2/3x + 4*3/3
= 2/3x + (2*3)*(2/3). ( rearranging terms)
=2/3( x+ 2*3). ( taking 2*3 common)
=2/3( x + 6)
which is option D
hope it helped ^_^
The answer is 95.4525 percent because you would use an equation
n!/(r!(n-r)! x (P)^x * (1-P)^(n-x)
Plug in the number correspondingly
N= 10
R= 1 , 2 , 3 , 4 , 5 , 6 (You will have to do each individual, if you have a Ti-nspire calculator however there is a built program called binomialcdf.
P= .37
x = r
After plugging this is the achieved answer is 95.4525
(.0578 + .1529 + .2394 + .2461 + .1734 + .0849) x 100
additive may be a little off due to rounding.
Answer: Question 1.1: It is 1.5 standard deviations away from the mean.
Our value of 26 is 6 units about the mean of 20. If each standard deviation is 4, we just divide 6 by 4. This gives us the number of standard deviations.
Question 2.2 The correct answer is -0.52
If we are 0.52 standard deviations below the mean, then our z-score is simply -0.52. The definition of a z-score is the number of standard deviations from the mean.
B True because both graphs approaches x=0 but never touches it
E True if you just graph it out you can see that graph of g is going down and the graph of x is going up
A false because neither of the equations have a y intercept they have asymptote of x=0
C false because it is also a reflection across the x axis
D incorrect is because they both have domain {0<x<♾}
Hope this helped!