Owners of a radio station want to obtain information on the radio listening habits in their market area. The market area contains one city of population 150,000, another city of 40,000, and three towns of about 6,000 inhabitants each. The station suspects the listening habits may be different in larger and smaller cities, and in the rural areas, so it splits the market area up accordingly to survey. Which of the following sampling designs best represents the type of survey design described? A cluster sample using regions in the market area as clusters A convenience sample from the market area A simple random sample from the whole market area A stratified sample from the cities and towns in the market area An online poll that invites all people from the cities and towns in the market area to participate

Answer:

32%

Step-by-step explanation:

Got it right on the quiz.

Pls give me brainliest

Answer:

32%

Step-by-step explanation:

Answer:

Option B is the right option.

Solution,

P(3)=0.15

P(Not a 3)=1-P(3)

=1-0.15

=0.85

Hope this helps...

Good luck on your assignment

Answer:

I think it's c im not to sure

Step-by-step explanation:

Answer:

A+B+C+D = 13

Step-by-step explanation:

The given expression is:

[tex]\dfrac{1+\sqrt{2}}{2+\sqrt{3}}[/tex]

We have to simply it and express it in the form of:

[tex]A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})[/tex]

Multiply and divide the given expression with [tex]2-\sqrt 3[/tex]:

[tex]\dfrac{1+\sqrt{2}}{2+\sqrt{3}} \times \dfrac{2-\sqrt 3}{2-\sqrt 3}\\\Rightarrow \dfrac{(1+\sqrt{2}) \times (2-\sqrt 3)}{(2+\sqrt{3})\times (2-\sqrt 3)}\\\Rightarrow \dfrac{2+2\sqrt2-\sqrt3-\sqrt6}{2^2-(\sqrt{3})^2}\\\Rightarrow \dfrac{2+2\sqrt2-\sqrt3-\sqrt6}{4-3}\\\Rightarrow \dfrac{2(1+\sqrt2)-(\sqrt3+\sqrt6)}{1}\\\Rightarrow 2(1+\sqrt2)-(\sqrt3+\sqrt6)[/tex]

It is the simplified form of given expression.

Formula used:

[tex](a+b)(a-b) = a^{2} -b^{2}[/tex]

Comparing the simplified expression with [tex]A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})[/tex]

[tex]2(1+\sqrt2)-(\sqrt3+\sqrt6)=A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})\\\Rightarrow A =2, B=2, C=3\ and\ D=6[/tex]

So, value of

[tex]A+B+C+D = 2+2+3+6 = 13[/tex]

Answer:132

Step-by-step explanation:

Answer:

132°

Step-by-step explanation:

first find the interior angle of the triangle.

the interior angle of a triangle is 180°

90°+42°+y°=180°

132°+y°=180°

y°=180°-132°

y°=48°

(y° represents the empty part).

angle on a straight line is equal to 180°

y°+x°=180°

48°+x°=180°

x°=180°-48°

x°=132°

Answer:

1.777777778

Step-by-step explanation:

hope that helps!

Answer:

16/9 or 1 2/9

Step-by-step explanation:

the fraction bar means divison

Answer:

[tex]5\%[/tex] loss.

Step-by-step explanation:

[tex]7600 \times (1+10\%)[/tex]

[tex]7600 \times 1.1=8360[/tex]

[tex]8000 \times (1+10\%)[/tex]

[tex]8000 \times 1.1=8800[/tex]

His loss is Rs 440.

[tex]\frac{440 \times 100}{8800}[/tex]

[tex]=5[/tex]

Answer:

Profit %age = 4.5 %

Step-by-step explanation:

Mr. Wilson bought the bike for = Rs 7,600

Profit %age = 10% of 7,600

Profit = [tex]\frac{10}{100}* 7600[/tex]

Profit = Rs 760

Amount in which the bike is sold = 7600 + 760 = Rs 8360

If Mr. Wilson had bought the bike for Rs. 8000 and sold it in the same amount,

So he would still be

having a profit of Rs. 360

How much Profit %age:

Profit % age = [tex]Profit * 100/CP[/tex]

Profit %age = 360 * 100 / 8000

Profit % age = 36,000 / 8000

Profit %age = 4.5 %

Answer:

I think it is greater because when you put the y alone it has the value of 1.

So, 9-y it will always be greater. It can be double and triple as well. I hope this helps you.

Step-by-step explanation:

Answer:

Ishaan is 15 years old.

Solution,

Let the age of Ben be X and ishaan be y.

Now,

X=4y

Six years ago,

[tex]x - 6 = 6(y - 6) \\ or \: x - 6 = 6y - 36 \\ or \: x - 6y = - 36 + 6 \\ or \: x - 6y = - 30[/tex]

Put the value of X

i.e X=4y

[tex]or \: 4y - 6y = - 30 \\ or \: - 2y = - 30 \\ or \: y = \frac{ - 30}{ - 2} \\ y = 15[/tex]

hope this helps..

Good luck on your assignment....

Start by setting up a chart based on age now

and age 6 years ago for Ben and Ishaan.

Since Ben is 4 times as old as Ishaan, use x to represent

Ishaan's age now and 4x to represent Ben's age now.

Ishaan's age 6 years ago would then be x - 6 and Ben's

age 6 years ago would be 4x - 6.

Now that your chart is filled out, read through the

second sentence of the problem to setup the equation.

Since the second sentence starts with 6 years ago,

we're going to be using the information in the

second column of our chart to setup the equation.

So 13 years ago, Ben, 4x - 6, was, equals,

6 times as old as Ishaan, 6(x - 6).

So we have the equation 4x - 6 = 6(x - 6).

Solving from here, we find that x = 15.

Steps are attache din the image provided.

Going back up to the chart, x represents Ishaan's age now.

So Ishaan is 15 years old now.

Answer:

q = 7

Step-by-step explanation:

4q + 9 = 37

If a letter and a number are together it means multiply.

Substitute 7 into the equation:

4(7) + 9 = 37

28 + 9 = 37

So q must equal 7

Answer:

directrix

Step-by-step explanation:

The parabola is equidistant from the line called the directrix

and from a point called the focus

Answer:

The answer is B.

Answer:

y = -2 x +3

Step-by-step explanation:

If the slope must be "-2", then the slope intercept form of the line should look like;

y = m x + b

with the slope "m" = -2

That is:

y = -2 x + b

Now the constant "b" can be found using the info on the value of the y-intercept which is (0, 3), so when x = 0, the value of the y-coordinate must be 3. By imposing this condition into the equation, we can find the value of "b":

3 = -2 (0) + b

3 = b

Then the equation becomes:

y = -2 x +3

Answer:

Bobs Data: range from 2 to 8

Rosa Data range from 4 to 7

Step-by-step explanation:

Answer: $106,700

Step-by-step explanation:

y = money amount

x = months

Slope (m) = change in y / change in x = (68000-25000) /(23-3)= 43,000/20= 2,150

Now, we have to write the equation in the form y =mx+b, using one of the points:

25000= 2,150(3) +b

25,000= 6,450+b

25,000-6,450=b

18,550=b

So, the final equation is:

y = 2,150x+18,550

So, when x=41 months

y = 2,150(41)+18,550

y= $106,700

Feel free to ask for more if needed or if you did not understand something.

Answer:

The answer is explained below

Step-by-step explanation:

The question is not complete, I would explain how to calculate the value of Z

The z score is a measure in statistic used to determine the number of standard deviations by which the raw score if from the mean of a normal distribution. If the z score is positive then the raw score is above the mean while if a z score is negative the raw score is below the mean. The z score (z) is given by the formula:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Where x is the raw score, μ is the mean and σ is the standard deviation.

Let us assume that the mean (μ) = 20 and the standard deviation (σ) = 3. To calculate the z score for x = 30 it is given by:

[tex]z=\frac{x-\mu}{\sigma}=\frac{30-20}{3}=3.33[/tex]

Answer:

X = (V / LJ)

Step-by-step explanation:

V = XLJ

Since you're isolating X, divide both sides by (LJ)

(V / LJ) = X

Answer: (1, 0)

Step-by-step explanation:

Just plug in the coordinates for x and y to see if the final answer has x and y equivalent.

(0) = (1)^2 - 4(1) + 3

0 = 1 - 4 + 3

0 = -3 + 3

0 = 0

Answer:

(2, -1)

Step-by-step explanation:

Ap3x

Answer: 8 more girl toys than boy toys

Step-by-step explanation:

First you need to find out how many of the toys are for boys and girls.

———————————————

80 * 40 = 80 * 0.4 = 32

32 toys are for boys

———————————————

80 - 32 = 48

48 toys are for girls

———————————————

Now find 50% of the boy and girl toys.

32 * 50% = 32 * 0.5 = 16

48 * 50% = 48 * 0.5 = 24

———————————————

Now subtract the number of girl toys by the number of boy toys to find out how many more were made for girls than boys.

24 - 16 = 8

Answer:

[tex]1.\ 12\ feet = 4\ yards[/tex]

[tex]2.\ 4\ miles = 21120\ feet[/tex]

Step-by-step explanation:

Given

12 feet = _____ yard

4 miles = ____ feet

To start with;

we need to understand the unit of conversion between the two measurements;

1. 12 feet = _____ yard

To convert from feet to yard;

[tex]1\ foot = \frac{1}{3} yard[/tex]

This implies that;

[tex]12\ feet = 12 * \frac{1}{3} yard[/tex]

[tex]12\ feet = \frac{12}{3} yard[/tex]

[tex]12\ feet = 4\ yards[/tex]

2. 4 miles = ____ feet

To convert from miles to feet;

[tex]1\ mile = 5280\ feet[/tex]

This implies that;

[tex]4\ miles = 4 * 5280 feet[/tex]

[tex]4\ miles = 21120\ feet[/tex]

Answer:

Parallelogram

Step-by-step explanation:

When I graphed these points on a coordinate plane and connect the points, I see a parallelogram.

PLZ MARK BRAINLIEST!!!

Answer:

C

Step-by-step explanation:

V=lwh

4 times x times x

4 x^2

Answer:

Correct option: 1) 2600

Step-by-step explanation:

The letter has a total of 26 possible values (from 'a' to 'z'), and each digit has a total of 10 possible values (from 0 to 9).

So, to find the number of reserved seats possible, we just need to multiply the number of possible values of each letter and digit.

We have one letter and two digits, so we have:

26 * 10 * 10 = 2600 possible reserved seats

Correct option: 1)

Answer:

1.) 2,600

Step-by-step explanation:

Answer:

The answer is 3√5 mi.

The formula is: d = √(3h/2)

Wyatt:

h = 120 ft

d = √(3 * 120/2) = √180 = √(36 * 5) = √36 * √5 = 6√5 mi

Shawn:

h = 270 ft

d = √(3 * 270/2) = √405 = √(81 * 5) = √81 * √5 = 9√5 mi

How much farther can Shawn see to the horizon?

Shawn - Wyatt = 9√5 - 6√5 = 3√5 mi

Answer:

its b

Step-by-step explanation:

i just did it

Answer:

[tex]K' = (\frac{1}{4} ,0)[/tex]

[tex]L' = (\frac{1}{4} ,1)[/tex]

[tex]M' = (\frac{5}{4} ,1)[/tex]

[tex]N' = (\frac{5}{4} ,0)[/tex]

Step-by-step explanation:

Given

K(1,0)

L(1,4)

M(5,4)

N(5,0)

Scale Factor = 1/4

Dilation with center (0,0)

Required

New coordinates of the quadrilateral

To get the new coordinates, we simply multiply the scale factor with each coordinate;

This is done as follows;

[tex]If\ K =(1,0),\ then;[/tex]

[tex]K' = \frac{1}{4} * (1,0)[/tex]

[tex]K' = (\frac{1}{4} * 1,\frac{1}{4}*0)[/tex]

[tex]K' = (\frac{1}{4} ,0)[/tex]

[tex]If\ L =(1,4),\ then[/tex]

[tex]L' = \frac{1}{4} * (1,4)[/tex]

[tex]L' = (\frac{1}{4} * 1,\frac{1}{4}*4)[/tex]

[tex]L' = (\frac{1}{4} ,1)[/tex]

[tex]If\ M =(5,4),\ then[/tex]

[tex]M' = \frac{1}{4} * (5,4)[/tex]

[tex]M' = (\frac{1}{4} * 5,\frac{1}{4}*4)[/tex]

[tex]M' = (\frac{5}{4} ,1)[/tex]

[tex]If\ N =(5,0),\ then[/tex]

[tex]N' = \frac{1}{4} * (5,0)[/tex]

[tex]N' = (\frac{1}{4} * 5,\frac{1}{4}*0)[/tex]

[tex]N' = (\frac{5}{4} ,0)[/tex]

Hence, the coordinates of the dilated figure are:

[tex]K' = (\frac{1}{4} ,0)[/tex]

[tex]L' = (\frac{1}{4} ,1)[/tex]

[tex]M' = (\frac{5}{4} ,1)[/tex]

[tex]N' = (\frac{5}{4} ,0)[/tex]

Answer:

D. x = +/-sqrt(y - 11)

Step-by-step explanation:

y = x^2 + 11

x^2 + 11 = y

x^2 = y - 11

x = +/-sqrt(y - 11)

Answer:

3.5 times 10^7

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

3.5×10^7

Hope this helps :P

Answer:

3.5 × 10^7

Step-by-step explanation:

Put the decimal point after 3.

Count how many decimal places will be needed to move to the right.

10 million has 7 zeros.

Answer:

First find f(g(x))

= 2(x²)-3

= 2x² -3

f(g(3)) = 2(3)² -3

= 2(9) - 3

= 18 - 3

= 15

Hope this helps.

Answer:

f(x)=6 and g(x)=6

Step-by-step explanation:

This is going to look crazy but try to follow along. I did a similar equation and got the answer correct.

1. find g(x)

2. x=3*  

3.   g(3)=3·2

4. x=6

Wherever there is an x put the number 3.....ONLY for g(x)

* ONLY in g(x)

4. Solve for f(x)

Since the equation for f(x) is f(g(3)) and the answer in g(x) was 6 wherever there is an x in the equation f(x)=2x-3 put the number 6

5. f(6)=2·6-3

6.f(x)=2·3

7.f(x)=6