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Mademuasel [1]
3 years ago
12

Hamden city’s police department needs to choose whether to build a new addition to the police station or to buy new squad cars.

Which sampling option might they choose to survey the community?
Mathematics
1 answer:
Romashka [77]3 years ago
8 0

Answer:

The sampling option Hamden city's police department needs to choose is to select a random sample of 10% of all taxpayers.

Since the Hamden city’s police department needs to choose whether to build a new addition to the police station or to buy new squad cars. And it needs money to choose any of these options. The money usually comes from the packets of taxpayers. Therefore, it would be appropriate to take a random sample of 10% of all taxpayers.


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<img src="https://tex.z-dn.net/?f=%20express%20%5C%3A%20%20%5C%3A%20%5Csin%282x%29%20%20-%20%20%5Csqrt%7B3%7D%20%20%5Ccos%282x%2
gizmo_the_mogwai [7]

Answer:

α = π/3

γ = 2

x = -3π/4, -5π/12, π/4, 7π/12

Step-by-step explanation:

Easiest way to do this is in reverse.

γ sin(2x − α)

Angle sum/difference formula:

γ (cos α sin(2x) − sin α cos(2x))

Distribute:

γ cos α sin(2x) − γ sin α cos(2x)

Matching the coefficients:

γ cos α = 1

γ sin α = √3

Solve the system of equations.  Divide to eliminate γ:

tan α = √3

α is between 0 and π/2, so:

α = π/3

γ = 2

sin(2x) − √3 cos(2x) = 1

Using the identity from before:

2 sin(2x − π/3) = 1

Solving:

sin(2x − π/3) = 1/2

2x − π/3 = π/6 + 2kπ or 5π/6 + 2kπ

2x = π/2 + 2kπ or 7π/6 + 2kπ

x = π/4 + kπ or 7π/12 + kπ

x is between -π and π, so:

x = -3π/4, -5π/12, π/4, 7π/12

7 0
3 years ago
The graph of y=f(x)y=f(x) is the solid black graph below. Which function represents the dotted graph?
OlgaM077 [116]

the formula for a horizontal shift is (x-a) and this graph has moved 2 units to the left, -2, so the formula becomes (x+2)

8 0
2 years ago
Shane has a garden box that is 4 feet long, 4 feet wide, and foot deep.
OverLord2011 [107]

Answer:

How much soil for a raised bed?

Answer: The cost to fill a raised bed with bagged fertile soil (planting mix) adds up quickly. The volume of soil you need is 12 feet times 4 feet times 1.5 feet (length times width times depth equals volume), which comes to 72 cubic feet

Step-by-step explanation:

4 0
3 years ago
How many fixed-requirement constraints does a transportation problem with 5 factories and 6 customers have?a. 30.b. 11.c. 6.d. 5
bulgar [2K]

Answer:

Option B

Step-by-step explanation:

From the question we are told that:

Demand point m=5

Supply Point n=6

Generally the equation for fixed-requirement constraints is mathematically given by

 X=m+n

 X=5+6

 X=11

Therefore the correct option is

Option B

7 0
2 years ago
Ron estimates that each crate of apples he buys from his supplier has 120 apples. The actual number is 105 apples. Which value i
NeTakaya

Answer:

14%

Step-by-step explanation:

your welcome

8 0
3 years ago
Read 2 more answers
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