Answer:
60 eggs.
Step-by-step explanation:
a dozen is 12. So 5 times 12 is 60.
If x- 7 = 14 then X = 21. so 21-2= 19. :)
Answer:
{y≥1
,{y-x>0
Step-by-step explanation:
First of all you have to consider the shaded region. It is bound by two lines.
The first line is a solid line that cuts the y-axis at +1. it's equation is y = 1. since the shade region is on the upper side where y values increase, the unequivocally will be y≥1. notice that the sign ≥ is due to the solid line which indicates points on the solid line are part of the solution.
the second line is the broken line. it passes through the origin (0,0) and (1,1) any two points can be taken. the gradient is 1. m= (y1-y2)/(x1-x2) = (0-1)/(0-1)=(-1/-1)= 1. the equation of a straight line is
y=mx + c where m is gradient and c is the VA)ue of y as the line crosses the y axis ( y-intercept) which in this case is 0 at (0,0).so the equation will be y=1(x) + 0
y=x if we subtract x from both sides we have
y-x=0
since the shaded region is on the upper side as y-x increases the in equality will be
y-x>0 notice since the line is broken it shall be just > not≥ because points on a broken line are not included in the shaded region.
Answer:
Step-by-step explanation:
Given that a statistics teacher taught a large introductory statistics class, with 500 students having enrolled over many years.
Mean = 78 and std dev =10
Next time, sample size n was reduced to 25
For smaller sample size the mean was found to be = 83
The teacher wanted to know if teaching a smaller class was more effective and students performed better
ie comparison of two means of two samples should be done with different sample sizes but same teacher.
Hence hypothesis should be:
where x denotes the I sample and Y the second with 25 students.
Answer:
It's a mnemonic device to help you remember the three basic trig ratios used to solve for missing sides and angles in a right triangle. It's defined as: SOH: Sin(θ) = Opposite / Hypotenuse. CAH: Cos(θ) = Adjacent / Hypotenuse.
