Natasha conducted a survey to determine how many of the 215 workers in her office building use public transportation to get to work. She surveyed 30 randomly selected workers who entered the office cafeteria throughout the day. Of the 30 workers surveyed, 9 used public transportation to get to work.
Which change to Natasha's survey process would make the data more reliable?

A. Ask a randomly selected sample of people who use public transportation whether their office is in the building.

B. Use a different sample size so the predicted number of workers who use public transportation is a whole number.

C. Have workers complete a written survey so there is a written record of the responses.

D. Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included.

The nearest cent is 814.45

Answer:

The error are

1) The use of the angle addition postulate, for [tex]m \widehat{ACD}[/tex]

2) The assumption that [tex]m \widehat{BC}[/tex] = 90°

The vertical angle property between  [tex]m \widehat{CD}[/tex] and [tex]m \widehat{FA}[/tex] should be used to find 'x'

x = 5

Step-by-step explanation:

From the drawing of the circle, we are given;

AD = A diameter of the circle

∴ [tex]m \widehat{ACD}[/tex] = 180°

By angle addition postulate, we have;

[tex]m \widehat{ACD}[/tex] = [tex]m \widehat{AB}[/tex] + [tex]m \widehat{BC}[/tex] + [tex]m \widehat{CD}[/tex]

By substitution property of equality, we have;

180° = [tex]m \widehat{AB}[/tex] + [tex]m \widehat{BC}[/tex] + [tex]m \widehat{CD}[/tex]

[tex]m \widehat{AB}[/tex] = 5·x°

[tex]m \widehat{BC}[/tex] = Not given

[tex]m \widehat{CD}[/tex] = 15·x°

However;

[tex]m \widehat{CD}[/tex] is the vertically opposite angle to [tex]m \widehat{FA}[/tex]

∴  [tex]m \widehat{CD}[/tex] = [tex]m \widehat{FA}[/tex] = (16·x - 5)°

[tex]m \widehat{CD}[/tex] = 15·x° = (16·x - 5)°

15·x° = (16·x - 5)°

∴ 5 = 16·x° - 15·x° = x

x = 5

[tex]m \widehat{BC}[/tex] = 180° - ([tex]m \widehat{AB}[/tex] + [tex]m \widehat{CD}[/tex]) = 180° - (15·x° + 5·x°) = 180° - (20·x°)

[tex]m \widehat{BC}[/tex] = 180 - (20×5)° = 80°

[tex]m \widehat{BC}[/tex]  = 80°

The error are the use of the angle addition postulate, for [tex]m \widehat{ACD}[/tex], and the assumption that [tex]m \widehat{BC}[/tex] = 90° rather than the vertical angle property between  [tex]m \widehat{CD}[/tex] and [tex]m \widehat{FA}[/tex] in trying to find 'x', from which x = 5.

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug the given points (80,20) and (120,30) into the equation

[tex]\frac{y_2-y_1}{x_2-x_1}\\= \frac{30-20}{120-80}\\= \frac{10}{40}\\= \frac{1}{4}[/tex]

Therefore, the slope of the line that passes through these points is [tex]\frac{1}{4}[/tex].

I hope this helps!

Answer:

x = 14

Step-by-step explanation:

30 = 3x - 12 (vertically opp)

30 + 12 = 3x

42 = 3x

42÷3 = x

14 = x

Answer:

6.6

Step-by-step explanation:

For this problem, you need to add 5 to the given equation, by replacing "c" with "5"

1.8(5)-2.4

= 6.6

Answer:

isosceles

Step-by-step explanation:

An Isosceles triangle that has two sides of equal length.

Answer:

It is equilateral and acute

Equilateral because it has all sides equal

And

Acute because it has all angle inside 90 degree

Answer:

The ratio of votes is 5:1

Step-by-step explanation:

Here, we want to find the ratio of votes

From the question, candidate B received 5 times of what candidate A received

so lest day candidate B received 25, candidate A will receive 5

So the ratio of votes for B to A will be ;

25 : 5

To the smallest term, this is 5:1

Answer:

[tex]2x-3y = 19[/tex]

Step-by-step explanation:

In standard form, represented by the formula [tex]Ax+By=C[/tex], all the constants and coefficients of the terms are integers, the terms have no common factors (besides 1), and the number in place of A is positive. Knowing this, convert the equation to standard form like so:

[tex]y+1=\frac{2}{3} (x-8)\\y+1 = \frac{2}{3} x-\frac{16}{3} \\-\frac{2}{3} x+y+1 = -\frac{16}{3} \\-\frac{2}{3}x+y = -\frac{16}{3} -1\\-\frac{2}{3} x+y = -\frac{16}{3} -\frac{3}{3} \\-\frac{2}{3} x+y = -\frac{19}{3} \\2x-3y = 19[/tex]

Answer:

you did this to me too lol

Step-by-step explanation:

jjdfksljdkfj JFKLJSDK djfa

Answer:

c

Step-by-step explanation:

mass= kg

v=m/s

k =kg×(m/s)²

k unit =kg×m²/s²

Answer:

1. D. Wiley has to defeat the Hairy Man three times to make him go away.

2. A. Wiley gets out of the tree without being hurt by the Hairy Man.

3. The antagonist in the story "Wiley, His Mother, and the Hairy Man" is:

“Mama is the antagonist because she finally wins the fight against the Hairy Man”.

4. The antagonist in the story "Wiley, His Mother, and the Hairy Man" is:

“Mama is the antagonist because she finally wins the fight against the Hairy Man”.

5. The most important lesson Wiley learns in "Wiley, His Mother, and the Hairy Man" is, 'It is better to be a clever person than a strong one.' Option C.

6. They confront the that their partner/friend giles corey died becasue he was phused over to confessed to witchcraft.

Step-by-step explanation:

1. "Wiley, His Mother, and the Hairy Man" is a musical play that has it depends on an oral established story of the South of the United States.

Wiley is the hero of the play as he is the character that endures the principle struggle, against his adversary the Hairy Man, and furthermore on the grounds that the play is centered around his contention as well as on Wiley's association with his mother.

3. An antagonist is a person who goes against the main force and changes it over a course of time.

In the mentioned story, it is Wiley’s Mama who keeps telling him how to keep changing the hairy man into various forms and then finally wins at her own game.

4. An antagonist is a person who goes against the main force and changes it over a course of time.

In the mentioned story, it is Wiley’s Mama who keeps telling him how to keep changing the hairy man into various forms and then finally wins at her own game.

5. "Wiley, His Mother, and the Hairy Man" is a short story for children with a beautiful message. The story depicts how Wiley deals with a Hairy man who was quite dangerous to be handled alone and who used to steal baby. One day it so happens that, when Hairy man was about to steal a baby, Wiley changed that baby for a pig, thus defeating the Hairy man.

This way Wiley learned a lesson that its always better to be a clever person than a strong one. Wiley's smartness helped him to save the life of a baby.

6. I just learned that last week

Answer:

Reflection over the y-axis

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

because everything is the opposite with negatives

Answer:

5. 50.3 m²

6. 113.1 cm²

7. 102.1 yards²

8.  50.3 yards²

9.  452.2 ft²

10.379.8 ft²

Step-by-step explanation:

Area of  a circle = nr²

The circumference of a circle = 2nr

n = pi = 22/7

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

radius = diameter / 2

5. (22/7) x 4² = 50.3 m²

6.  (22/7) x 6² =113.1 cm²

7. radius = 11.4/2 = 5.7 yards

(22/7) x 5.7² =102.1 yards²

8. radius = 8/2 = 4 yards

(22/7) x 4² = 50.3 yards²

9. 2nr = 75.4 yards

2 x (22/7) x r = 75.4

to find r, divide both sides of the equation by 2 and 7/22

r = 12 ft

Area =  (22/7) x 12² = 452.2 ft²

10. 2nr = 69.1 yards

2 x (22/7) x r = 69.1

to find r, divide both sides of the equation by 2 and 7/22

r = 10.99 ft²

Area = (22/7) x 10.99² = 379.8 ft²

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answer:

A.

Step-by-step explanation:

The slope increases from left to right.

Answer: Positive Slope

Step-by-step explanation:

If it’s from left to right in an upwards direction, it’s positive, if it’s left to right in a downwards directio, it’s negative

Answer:

no

Step-by-step explanation:

[tex]4y + 4 = 4 (y + 1)[/tex]

[tex]2y+2 = 2 (y + 1 )[/tex]

Answer:

[tex]A' = (-4,4)[/tex]

Step-by-step explanation:

Given

[tex]A = (-2,2)[/tex]    [tex]B = (1,3)[/tex]       [tex]C = (1,0)[/tex]

[tex]k =2[/tex] --- scale factor

Required

Determine A'

This is calculated as:

[tex]A' = A * k[/tex]

[tex]A' = (-2,2) * 2[/tex]

[tex]A' = (-2 * 2,2 * 2)[/tex]

[tex]A' = (-4,4)[/tex]

Answer:

70

Step-by-step explanation:

Answer:

k=70

Step-by-step explanation:

x=-5

k=6x+100

6X-5=-30

k=-30+100

100-30=100+-30=70

k=70

Also I did it on Khan :)

Answer:

62 degrees

Step-by-step explanation:

If two angles are complementary, it means that their sum is 90degrees

Hence if m<a and m<b are complementary, then;

m<a + m<b = 90

Given

m<a = 28degrees

Required

m<b

Substitute into the formula as shown;

28 + m<b = 90

m<b = 90 - 28

m<b = 62degrees

Hence the measure of angle b is 62 degrees

Answer:

Angle B: 62

Step-by-step explanation:

90 degrees minus angle a, (28 degrees) to get 62 degrees.

Answer:

There are no questions attached.

Step-by-step explanation:

Answer:

The answer would be 42 .

Step-by-step explanation:

Good luck ^.^

Answer:

4/-2 = -2/1 = -2

y = -2x - 16

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

Here is the the real answer

3.4 yd3

Answer:

14a-2

Step-by-step explanation:

Answer:

x=4 and y=3

Step-by-step explanation:

Ah Algebra...

2x-3y=-1

y=x-1

Let's solve your system by substitution.

2x−3y=−1; y=x−1

Rewrite equations:

y=x−1;2x−3y=−1

Step: Solve

y= x−1

Step: Substitute x−1 for y in 2x−3y=−1:

2x−3y=−1

2x−3(x−1)=−1

−x+3=−1(Simplify both sides of the equation)

−x+3+−3=−1+−3(Add -3 to both sides)

−x=−4−x−1=−4−1

(Divide both sides by -1)

x=4

Step: Substitute4forxiny=x−1:

y=x−1

y=4−1

y=3(Simplify both sides of the equation)

Answer:

x=4 and y=3

Hope this helps :)

Stay Cold,

Brook

Answer:

(4,3)

Step-by-step explanation:

Being that the y variable is isolated in the second equation, the other side of that equation can be substituted for y in the first equation.

[tex]2x - 3(x - 1) = - 1[/tex]

Now simplify for x.

[tex]2x - 3x + 3 = - 1 \\ - x = - 4 \\ x = 4[/tex]

Now with that, insert the x value in for x in the second equation.

[tex]y = (4) - 1 \\ y = 3[/tex]

Now the correct answer is (4,3)

Answer:25

Step-by-step explanation:

divide 75 by 6 then multiply by 2

Answer:

84%

Step-by-step explanation:

Given that :

Number that prefers digital copy = 4

Number who prefers hard copy = 21

Total number of samples =

(digital + hard copy) = 25

Percentage who prefers hard copy :

(Number who prefer hard copy / total number of samples) * 100%

(21 / 25) * 100%

0.84 * 100%

= 84 %