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. Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included. B. Have workers complete a written survey so there is a written record of the responses. C. Ask a randomly selected sample of people who use public transportation whether their office is in the building. D. Use a different sample size so the predicted number of workers who use public transportation is a whole number.

Answer: 197735

Step-by-step explanation: deltamath

Answer:

197735

Step-by-step explanation:

see attached image

Answer: The blue circle is 62.83 and the orange is 31.42

Step-by-step explanation: Sorry if I got it wrong. But since the orange 5 cm and the blue (half) is 5cm, you add 10cm.

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Answer: 11.52

Explanation:

1.28 x 9 = 11.52

I hope this helped!

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- Zack Slocum

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Answer:

136

Step-by-step explanation:

Surface area is area of everything added together.

Area of triangle is 4 * 6 over 2 = 12

Area of side rectangle is 5 * 7 = 35

Area of base rectangle is 6 * 7 = 42

42 + 35 + 35 + 12 + 12

Final Answer: 136 sq m

Answer:

s = 2

Step-by-step explanation:

3 - 1 = 2

1 + 2 = 3

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Answer: Amira added 5 candy bars to the p pile of candy bars there were no more than 18 candy bars in the pile.

Step-by-step explanation: hope this helps

Answer:

Males: 29

Females: 16

Step-by-step explanation:

2x+ 13 = 45

2x = 45 - 13

2x = 32

x = 16

16 + 13 = 29

29 +16 = 45

Answer:

B) 54 and 54

Step-by-step explanation:

72 + x + x = 180

2x + 72 = 180

2x = 180 - 72

2x = 108

x = 54

Answer:

Let me know if there is anything you don't get

∠3 = 102 because ∠1 and ∠3 are supplementary and 102 + 78 = 180

∠4 = 102 because ∠1 and ∠4 are consecutive interior angles

∠5 = 78 because ∠1 and ∠5 are corresponding angles

∠6 = 133 because ∠2 and ∠6 are supplementary angles

∠7 = 47 because ∠2 and ∠7 are vertical angles

∠8 = 47 because ∠2 and ∠8 are opposite interior angles

∠9 = 133 because ∠8 and ∠9 are supplementary, and we just saw ∠2=∠8

∠10 = 102 because ∠1 and ∠10 are supplementary

You could have used a whole bunch of different relations, but I wanted to focus on ∠1 and ∠2 since those were told to us

Step-by-step explanation:

For this question you need to know several parts of geometry.  Let me know if anything doesn't make sense.

First, parallel lines are two or more lines which are angles in such a way that no matter how long they are they will not cross.  In other words they are slanted at the same angle.  you can see this with lines a and b in this picture.

Second, a transversal is a line that crosses through two or more parallel lines.  A transversal creates a number of angles that have special properties.  I would like you to look specifically at line c as I describe these angles.  line c is a transversal to Ines a and b.  Also line d is also a transversal.

There are seven special angles to know.

The easiest is supplementary angles.  This you don't need parallel lines, but if any two lines ever cross this creates 4 angles.  you can actually look at where lines c and b intersect in your problem.  Angles 2. 6 and 7 are labeled but there is one more unlabeled one.  Now, 180 degrees is a straight line.  With angles you can see angles 6 and 7 add together to be a straight line.  Similarly 2 and 6 do as well.  These are two sets of supplementary angles.  

To list off the supplementary angles here 9 and 8 are supplementary, as are  2 and 6, 6 and 7, 1 and 3, 1 and 10, and finally 4 and 5.

From supplementary angles comes vertical angles.  Again, if you look at angles 2, 6 and 7 we already know ∠2 + ∠6 = 180 and ∠6 + ∠7 = 180.  Well lets say ∠6 = 133.  Well then, we could use algebra to see that both ∠2 AND ∠7 are 47 degrees.  This is the property of vertical angles.  if you have two lines intersecting, any two angles that have a third in between the are called vertical angles, and are equal.

some examples of vertical angles are ∠2 and ∠7as well as ∠3 and ∠10,  

Finally we go into parallel line specific angles.  If you have two or more parallel lines with a transversal, so in particular look at a and b as the parallel lines and c as the transversal.  The transversal creates some special angles.  in particular, the transversal crosses a and b at the same angle, so angles 8 and 7 have the same value.  These are known as corresponding angles, since they correspond tot he same position with a transversal crossing through parallel lines.  

the corresponding angles in the picture are ∠8 and ∠7, ∠3 and ∠4 and finally ∠1 and ∠5.  the last two using line d as a transversal.

After corresponding angles opposite interior angles I think are the next logically to look at.  Opposite means they are on two different parallel lines and on different sides of the transversal, while interior means they are between the parallel lines.  so if you look at the parallel lines a and b there are angles 8 and 2 that are interior angles.  Since 8 is against line a and 2 is against line b, and ∠8 is above transversal c while ∠2 is below it, they are opposite angles.  so 8 and 2 are opposite interior angles.  Now, if you look at ∠8 and ∠7 you know these are corresponding angles, then ∠7 and ∠2 are vertical angles.  This means opposite interior angles are equal.

A list of opposite interior angles are ∠8 and ∠2, and ∠10 and ∠4.

Alongside opposite interior, there are opposite exterior angles.  opposite means on different parallel Ines and on opposite sides of the transversal, while this time exterior means not between the parallel lines.  Now just like we figured with opposite interior angles

The only labeled pair of opposite exterior angles are ∠9 and ∠6.  Now just like we figured with opposite interior angles, let's start with ∠8 and ∠9, which are supplementary.  then ∠8 and ∠7 are corresponding angles so ∠9 and ∠7 are supplementary.  We can also see ∠7 and ∠6 are supplementary.  well, since ∠9 + ∠7 = 180 = ∠6 + ∠7 then ∠9 = 180 - ∠7 = ∠6 so ∠9 = ∠6.  This shows opposite exterior angles are  equal.

So we did two kinds of opposite angles, it might make sense there are non opposite angles.  And there are.  these are called consecutive angles.  There are consecutive exterior and consecutive interior angles.  An example of each are ∠1 and ∠4 for consecutive interior, consecutive because they are on the same side of the transversal, and interior because they are between the two parallel lines.  ∠3 and ∠5 are consecutive exterior angles.

You can use similar reasoning we have been so far to conclude all consecutive angles are supplementary

Answer:

x=-4

Step-by-step explanation:

The angles have to equal eachother, so:

130=134+x

subract 134 from both sides

-4=x

Answer:

option D

Step-by-step explanation:

diameter of two small circle i.e 14cm

radius of two small circle =7cm

area of the small circle =πr²

area of the small circle=22/7 x7²

area of the small circle=154cm²

Area of bigger circle=22/7×14²

Area of bigger circle=616cm²

Area of shaded region =area of bigger circle -area of small circle +area of small circle

area of shaded region =616-154+154

area of shaded region=308cm²

i.e approximately 282.74cm²

Answer:

12 toppings

Step-by-step explanation:

9x5=45

540/45=12

Answer:

a.

Step-by-step explanation:

because "six hundered one" is 601 and "five hundredths" is .05 so the only number with both those 2 is a so the awnser is a.

The probability of observing exactly two heads when a fair coin is flipped four times is found to the nearest percent to be 38%.

It is the ratio that shows the likelihood of an event occurring out of all the other possible events.

∴ P( Getting exactly two heads when a coin is flipped four times) = 6/16 = 0.375

0.375*100 = 37.5%

≈ 38%

Therefore, we have found the probability of observing exactly two heads when the coins are flipped four times to the nearest percent as 38%.

Learn more about probability here-https://brainly.com/question/24756209

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Answer:About 17 games

Step-by-step explanation:

$50 divided by $3 is about 17 games

Answer:

Step-by-step explanation:

50in-3ft(12in/ft)

50in-36in

14in

Answer:

-6x-5

Step-by-step explanation:

(2x - 3)2 + 5(3 - 2x) - 14​

Distribute

2x*2 -3*2 +5*3 -5*2x -14

4x -6 +15 -10x -14

Combine like terms

4x -10x   -6 +15-14

-6x                 -5

Let's solve your equation step-by-step.

10/a=15/24

Step 1: Cross-multiply.

10/a=15/24

(10)*(24)=15*a

240=15a

Step 2: Flip the equation.

15a=240

Step 3: Divide both sides by 15.

15a / 15 = 240/15

a=16

Answer:

x2 - 9x +20

Step-by-step explanation:

Answer:

4y + 4x - 4

4(y + x - 1)

Step-by-step explanation:

Brainliest plz

Answer:

4x+4y-4

Step-by-step explanation:

Lets simplify step by step:

5y - 8x - 7- y + 12 x + 3 = 5y +-8x +-7 + -y + 12x + 3

Now let’s combine the like terms:

5y +-8x +-7 + -y + 12x + 3

(-8x + 12x) + (5y + -y) + (-7 + 3)

So the answer would be 4x+4y-4

Hope this helps :)

Answer:

Mean: 10

Median: 10.5

Mode: none

Step-by-step explanation:

there is no mode, mean is 10 and median is 10.5

Answer:

x = 63.5°

Step-by-step explanation:

To find the value of x in the given right triangle, we would apply trigonometric function.

Reference angle = x

Side length Opposite to x = 17

Hypotenuse length = 19

Apply SOH:

[tex] sin(x) = \frac{Opp}{Hyp} [/tex]

[tex] sin(x) = \frac{17}{19} [/tex]

[tex] x = sin^{-1}(\frac{17}{19}) [/tex]

x = 63.474648° ≈ 63.5° (nearest tenth)

Answer:

24 inches

Step-by-step explanation:

Answer:

2 feet long

Step-by-step explanation:

12 inches in a foot

30-6=24

24 inches=2 feet

Answer:

2998 Panda's will be left in 4 years.

Step-by-step explanation:

0.5 x 4 =2

3000-2=2998

Answer:

3321 / 12500

Step-by-step explanation:

P (not child, not child, not child) = 82/100 × 81/100 × 80/100