Answer:
11: x=90 and y=10
12: x=59 and y=48
14?: x = 28, y = 20 and z = 56
15: x = 4 and y = 53
Step-by-step explanation:
11: Since two sides are parallel, you can draw a transversal (a line that crosses through both) that makes sure all angles it makes are 90 degrees. (let me know if that doesn't make sense. Now you have two trapezoids. One has angle measures 90+90+90+x=360 and the other has 90+90+77+y = 360. Doing some quick algebra gets you x=90 and y=10
12: We do the same thing, transversal throught he parallel lines to get four 90 degree angles. Now 360 = 90 + 90 + 2x + 62 makes x = 59 and 360 = 90 + 90 +3 y + 42 makes y = 48
(14? the one to the left of 15): Could do the same thing to solve for x, then we need to do something different for y and z. so first 90 + 90 + 68 + 4x = 360 so x=28. Now, since this is an isosceles trapezoid it means the two top angles are equal and the two bottom angles are equal. so 68 =3y+8 so y = 20 and 2z = 4x = 4(28) makes z = 56
for 15 we'll start with y. We will call the two equal angles a, because we need to use them. Since the top and bottom parts are parallel, 106 + a = 180 and 2y + a = 180. Use a system of equations to find a = 74 and y = 53 (You just needed y of course). since 2y=106, we know that 4x=6x-8 so then we can solve for x = 4
Answer:
you goth or what dummy
Step-by-step explanation:
Answer: kindly check explanation
Step-by-step explanation:
A.) The population of interest refers to all the entire observations belonging to a certain group or category in a study, hence all vehicles on the road in your hometown is the population of interest in the scenario described above.
B.) Variable of interest refers to what we aim to study, measure or observe in our population or sample, Hence, the variable of Interest is to determine if a certain vehicle is an SUV or NOT
C.) What is the parameter of interest and what symbol should we use to denote it?
The parameter are numeric computations derived from a population. Which is the proportion of SUV's in the population of vehicles in hometown
d. What is the statistic, what symbol should we use to denote it, and what is its value?
Statistic derived from the sample and it is hence the proportion of SUV's that pass the intersection between 7 - 8 am (as the number of vehicles that pass at this time is only a subset of the entire vehicle population).
E.) Yes it is a simple Random sampling, because the number of SUV's or vehicles are entirely by chance.
F.) Given the time of sampling and the fact that SUV's are mostly driven by official workers and parents, the number of SUV's may likely surge at this time due to those leaving for work and kids being dropped at their various schools.
