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Liula [17]
4 years ago
8

A surveyor randomly interviewed 65,439 people who live in Virginia to gather information on whether national healthcare is accom

plishing its goals. Part A: What are the population and sample in this survey? (4 points) Part B: The survey found that 71% of females and 88% of males visited a family doctor at least once in the past year. Do you think these approximations of the sample are close to approximations of the entire population? Explain. (6 points) be quick plz help
Mathematics
1 answer:
Ipatiy [6.2K]4 years ago
8 0

eee eeeeee eeeeee eeeeeeee hi

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Convert the following sum into a product. cosx + cos3x + cos5x + cos7x
kvv77 [185]

Answer:

4\cos x\cos (4x)\cos (2x)

Step-by-step explanation:

Given: cosx + cos3x + cos5x + cos7x

To convert: the given sum into product

Solution:

Use formula: \cos A+\cos B=2\cos \left ( \frac{A+B}{2} \right )\cos \left ( \frac{A-B}{2} \right )

cosx + cos3x + cos5x + cos7x=2\cos \left ( \frac{x+3x}{2} \right )\cos \left ( \frac{x-3x}{2} \right )+2\cos \left ( \frac{5x+7x}{2} \right )\cos \left ( \frac{5x-7x}{2} \right )\\=2\cos (2x)\cos (-x)+2\cos (6x)\cos (-x)\\=2\cos (2x)\cos (x)+2\cos (6x)\cos (x)\\=2\cos x\left [ \cos (2x)+\cos (6x) \right ]

cosx + cos3x + cos5x + cos7x=2\cos \left ( \frac{x+3x}{2} \right )\cos \left ( \frac{x-3x}{2} \right )+2\cos \left ( \frac{5x+7x}{2} \right )\cos \left ( \frac{5x-7x}{2} \right )\\=2\cos x\left [ \cos (2x)+\cos (6x) \right ]\\=2\cos x\left [2 \cos \left ( \frac{2x+6x}{2} \right )\cos \left ( \frac{2x-6x}{2} \right ) \right ]\\=2\cos x\left [ 2\cos (4x) \cos (-2x) \right ]\\=4\cos x\cos (4x)\cos (2x)

4 0
3 years ago
How many square feet of outdoor carpet will we need for this hole ? A1 72ft and A2 9ft
Ksju [112]

Answer:

<h3>44 square feet</h3>

Step-by-step explanation:

We are given a rectangle of dimension 12ft×4ft and a square of dimension 2ft×2ft.

Then, the required outdoor carpet will be:

Outdoor carpet required= Area of the outer hole that is the rectangle - Area of the inner hole that is the square

=  44 square feet.

7 0
3 years ago
Please help me with all and please be right
Kryger [21]
Okay this is in order going straight down in each row:

5.7
8.64 04 8.6
3.6
12.24 or 12.2
30.72 or 30.7
67.2
48
13.5

okay now the next page: 

20.8
42
89.6
79.2
29.7
36.72 or 36.7
108
17.82 or 17.8
54


8 0
3 years ago
57 as a decimal I don’t understand this
mafiozo [28]

Answer:

57% = 0.57 in decimal form.

Step-by-step explanation:

57% = 0.57 in decimal form. Percent means 'per 100'. So, 57% means 57 per 100 or simply 57/100. If you divide 57 by 100, you'll get 0.57 (a decimal number).

7 0
3 years ago
Read 2 more answers
33 is 50% of what number?
sergij07 [2.7K]
50/100 * x = 33
x = 33 * 100/50
<span>x = 66 
</span>so your answer is 66


3 0
3 years ago
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