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Rufina [12.5K]
3 years ago
7

Identify the population and sample.

Mathematics
1 answer:
iris [78.8K]3 years ago
3 0
Population is 200 and sample is 30

Thank you hope this helps
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A restaurant has 50 tables. 40% of the tables have 2 chairs at each table. The remaining 60% of the tables have 4 chairs at each
liubo4ka [24]

Answer:

Total number of chairs in the restaurant = 160.

Step-by-step explanation:

Total number of tables in the restaurant = 50

It is given that 40% of the tables have 2 chairs at each table.

40% of 50 = \frac{40}{100} (50)

= 20

So, 20 tables have 2 chairs at each table.

Number of chairs required for 20 tables = 20 × 2 = 40

Remaining 60% of the tables have 4 chairs at each table.

60% of 50 = \frac{60}{100} (50)

= 30

So, 30 tables have 4 chairs at each table.

Number of chairs required for 30 tables = 30 × 4 = 120

Hence, total number of chairs in the restaurant = 40 + 120 = 160.

5 0
3 years ago
Need awnsers please help
sleet_krkn [62]
The line of reflection is what the graph flips over. You can find the line with two points, and a point on the reflection line is the midpoint of a point and the corresponding point in the after-image.
The first one reflects over the y-axis, or x=0. One point is (-2, 1) and its corresponding point is (2, -1). The midpoint is found by the average of the two coordinates, which is (0,0). Pick another pair of points and find the midpoint which you should get (x,0).
You have two points (0,0) and (x,0) and they form a line, which is the y-axis, or x=0.
The line of reflection for the 1st one is x=0 (y-axis).
4 0
3 years ago
Is this correct? ILL MARK YOU BRAINIEST
Vsevolod [243]

Answer:

yes

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Given that P=x+y<br>Find P when:<br>x=11and y=6<br>what is p ?​
frutty [35]

Answer:

P = 17

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction

Step-by-step explanation:

<u>Step 1: Define</u>

P = x + y

x = 11

y = 6

<u>Step 2: Evaluate</u>

  1. Substitute:                    P = 11 + 6
  2. Add:                              P = 17

And we have our final answer!

4 0
3 years ago
) f) 1 + cot²a = cosec²a​
notsponge [240]

Answer:

It is an identity, proved below.

Step-by-step explanation:

I assume you want to prove the identity. There are several ways to prove the identity but here I will prove using one of method.

First, we have to know what cot and cosec are. They both are the reciprocal of sin (cosec) and tan (cot).

\displaystyle \large{\cot x=\frac{1}{\tan x}}\\\displaystyle \large{\csc x=\frac{1}{\sin x}}

csc is mostly written which is cosec, first we have to write in 1/tan and 1/sin form.

\displaystyle \large{1+(\frac{1}{\tan x})^2=(\frac{1}{\sin x})^2}\\\displaystyle \large{1+\frac{1}{\tan^2x}=\frac{1}{\sin^2x}}

Another identity is:

\displaystyle \large{\tan x=\frac{\sin x}{\cos x}}

Therefore:

\displaystyle \large{1+\frac{1}{(\frac{\sin x}{\cos x})^2}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{1}{\frac{\sin^2x}{\cos^2x}}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}

Now this is easier to prove because of same denominator, next step is to multiply 1 by sin^2x with denominator and numerator.

\displaystyle \large{\frac{\sin^2x}{\sin^2x}+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}\\\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}

Another identity:

\displaystyle \large{\sin^2x+\cos^2x=1}

Therefore:

\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}\longrightarrow \boxed{ \frac{1}{\sin^2x}={\frac{1}{\sin^2x}}}

Hence proved, this is proof by using identity helping to find the specific identity.

6 0
2 years ago
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