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Norma-Jean [14]
2 years ago
8

Mia is considering moving to a different apartment complex than where she currently lives. To better understand rent prices, she

takes a large random sample of apartment complexes in her city and finds out the monthly cost of rent for a 111-bedroom apartment at those complexes. She finds the average rent of apartments in the sample is about $800dollar sign, 800 per month.
Required:
a. Mia can safely generalize this result to which population?
b. Identify the population of interest and the sample used.
c.Was this an observational study or an experiment? If it was observational, was it prospective or retrospective? If it was an experiment, was random sampling or random assignment used?
d. What are the variables in the study? Identify each variable as quantitative or categorical.
Mathematics
1 answer:
Stels [109]2 years ago
7 0

Answer:

All 1-bedroom apartments in her city only

Step-by-step explanation:

Since the sample of 1-bedroom prices was randomly selected from all complexes in her city, the results can safely be generalized to this population.

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A homeowner has an octagonal gazebo inside a circular area. Each vertex of the gazebo lies on the circumference of the circular
Tcecarenko [31]

If we draw the diagonals of the octagonal gazebo, the 4 diagonals divide the octagon into 8 triangles.

Note that each triangle is an isosceles triangle whose equal sides are x, the radius of the circle.

The top angle of each triangle is obtained by dividing the full angle by 8.

So, each top angle = \frac{360}{8}

= 45°

Now, in fig., consider one of the triangles Δ OAB. Draw an altitude OC from O to the opposite side AB.

This altitude OC bisects the top angle 45°.

Therefore, ∠ AOC = 22.5°.

Now, in Δ AOC,

sin 22.5=\frac{AC}{OA}

=\frac{AC}{x}

So, AC = x sin 22.5°

Note that, AB = 2 AC.

Therefore, AB = 2x sin 22.5°.

Also, cos 22.5=\frac{OC}{OA}

=\frac{OC}{x}

So, OC = x cos 22.5°.

Area of Δ AOB = \frac{1}{2}(AB)(OC)

= \frac{1}{2} × (2x sin 22.5°) × (x cos 22.5°)

= \frac{1}{2} x^{2} (2 sin 22.5° cos 22.5°)

= \frac{1}{2} x^{2} sin 45°

= x^{2} / 2\sqrt{2}

Area of the octagonal gazebo = 8 × one triangular area

= 8 × (x^{2} / 2\sqrt{2})

=2\sqrt{2} x^{2}

=2.828x^{2}

Area required for mulch = circular area - area of the gazebo

=3.14x^{2} -2.828x^{2}

=0.312x^{2}

Now, cost per unit area = $1.50.

Hence, total cost g(m) = area × cost per unit area

Total cost g(m) = 0.312x^{2} × 1.5

=0.468x^{2}

Hence, total cost g(m) = 0.468x^{2}.

4 0
3 years ago
How do you answer <br> #5.
avanturin [10]
Umm this might be wrong, but i think you have do the inverse, which would make -4 positive, then add that to the 2, and then subtract that from 0.6  and then whatever you answer you get is equal to the variable z.
5 0
3 years ago
Question 2 of 10
Anni [7]

Answer:

47/100 and 47%

Step-by-step explanation:

He missed 53 out of 100 so that means he made 47 out of a 100 and there you go... 47/100 and 47%

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olga55 [171]
The answer is 500/7
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