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Gnom [1K]
3 years ago
14

Example 2: Representative Sample

Mathematics
1 answer:
lions [1.4K]3 years ago
6 0

Answer:

The correct answer is b. Assign every student in the senior class a number from 1 to 314. Then, use a random number generator to select 30 students to poll.

Step-by-step explanation:

You will want that the sample you choose represents the total population, you can do it by random sampling and it requires an unbiased form of collecting data, in which every person has the same opportunity of being chosen.

The correct answer is b. Assign every student in the senior class a number from 1 to 314. Then, use a random number generator to select 30 students to poll, because it uses a random process to select the sample.

a. Poll everyone in your friend’s math class, is not the correct answer because the class is too large and it will take a lot of time and effort to ask everyboydy.

c. Ask every student who is going through the lunch line in the cafeteria who they will vote for, is not the correct answer because it is not a random process because the people in the luch line are similar and migth share opinions.

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Prove the identity.<br>cosx sin (x+y) - sinx cos(x+y) = siny​
Jet001 [13]

Answer:

In the explanation

Step-by-step explanation:

Going to start with the sum identities

sin(x+y)=sin(x)cos(y)+sin(y)cos(x)

cos(x+y)=cos(x)cos(y)-sin(x)sin(y)

sin(x)cos(x+y)=sin(x)cos(x)cos(y)-sin(x)sin(x)sin(y)

cos(x)sin(x+y)=cos(x)sin(x)cos(y)+cos(x)sin(y)cos(x)

Now we are going to take the line there and subtract the line before it from it.

I do also notice that column 1 have cos(y)cos(x)sin(x) in common while column 2 has sin(y) in common.

cos(x)sin(x+y)-sin(x)cos(x+y)

=0+sin(y)[cos^2(x)+sin^2(x)]

=sin(y)(1)

=sin(y)

6 0
3 years ago
What is the ratio 28 : 4 in it's simplest form?
Lisa [10]

Answer:

7:1

Step-by-step explanation:

28:4=

7(4):1(4)=

7:1

Hope this helps!

5 0
3 years ago
Read 2 more answers
Determine if the following equations are equal by evaluating both sides
padilas [110]

Answer:

Yes, the both sides of the given equation are equal.

Step-by-step explanation:

The given equation is

\log((1-i)^3)=3\log(1-i)

Taking LHS,

LHS=\log((1-i)^3)

Using the power property of logarithm, we get

LHS=3\log(1-i)                               [\because log_ax^n=nlog_ax]

LHS=RHS                                   [\because RHS=3\log(1-i)]

Both sides of the given equation are equal.

5 0
3 years ago
HELP ASAP ...........
dedylja [7]

Answer:

A

Step-by-step explanation:

Given

y - 2x - 8 = 0 ( add 2x + 8 to both sides )

y = 2x + 8 → (1)

y² + 8x = 0 → (2)

Substitute y = 2x + 8 into (2)

(2x + 8)² + 8x = 0 ← expand left side using FOIL and simplify

4x² + 32x + 64 + 8x = 0

4x² + 40x + 64 = 0 ( divide through by 4 )

x² + 10x + 16 = 0 ← in standard form

(x + 8)(x + 2) = 0 ← in factored form

x + 8 = 0 ⇒ x = - 8

x + 2 = 0 ⇒ x = - 2

Substitute these values into (1) for corresponding values of y

x = - 8 : y = 2(- 8) + 8 = - 16 + 8 = - 8 ⇒ P (- 8, - 8)

x = - 2 : y = 2(- 2) + 8 = - 4 + 8 = 4 ⇒ Q (- 2, 4 )

Calculate the length of PQ using the distance formula

PQ = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = P (- 8, - 8) and (x₂, y₂ ) = Q (- 2, 4 )

PQ = \sqrt{(-2-(-8))^2+(4-(-8))^2}

      = \sqrt{(-2+8)^2+(4+8)^2}

       = \sqrt{6^2+12^2}

       = \sqrt{36+144}

       = \sqrt{180}

       = \sqrt{36(5)}

       = \sqrt{36} × \sqrt{5}

        = 6\sqrt{5} → A

8 0
2 years ago
Find an equation of the line that is perpendicular to 9x + 5y = - 1. Write your answer in the form y = mx + b.
Alchen [17]

Answer:

Step-by-step explanation:

move x to the right making the equation 5y=-9x-1 then divide both sides by 5 to get y= -9/5x-1/5. the slope of a perpendicular line is the opposite reciprocal of the slope from the og eq. so the slope of the new line is 5/9x and the y-intercept stays the same so the equation should be y=5/9x-1/5

5 0
3 years ago
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