Study results indicate that the mean length of time people spend on a bus in a city is between 23.4 minutes and 29.5 minutes.

What is the study's margin of error?


6.1 min


4.75 min


3.05 min


0.5 min

Answers

Answer 1

Answer:

[tex]+/-3.05[/tex]

Step-by-step explanation:

The margin of error will be the difference divided by two with a plus and minus sign

So we have;

[tex]29.5-23.4=6.1[/tex]

Divide by [tex]2[/tex]

[tex]6.1[/tex] ÷ [tex]2=3.05[/tex]

[tex]=3.05[/tex]

Therefore, The margin error is therefore

[tex]+/-3.05[/tex]

Learn more about the margin error here:

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Related Questions

3. In a sample of 250 high school seniors,
5 stated that they have red hair. What is
the sample proportion?
Answer choices:
0.02
0.05
0.12

Answers

Answer:

0.02 (the first option)

Step-by-step explanation:

This is because a proportion means there is division going on. If 5 out of the 250 students have red hair, this creates a fraction of [tex]\frac{5}{250}[/tex] and when you divide this out: 5 ÷ 250, you get 0.02

Translate the following phrase into an algebraic expression. Do not simplify. Use the variable names "x" or "y" to describe the unknowns.

8 divided by the sum of 2 and a number

Answers

Answer:

8/x+2 or   [tex]\frac{8}{2+x}[/tex]

Step-by-step explanation:

To answer, carefully read the question and pick up on key words like "sum." To begin, we know that "sum" means addition, therefore the sum of 2 and a number (which will be replaced by the variable x) is equivilent to 2 + x. Furthermore, we know that 8 is being divided by the sum. So, the final expression should be  [tex]\frac{8}{2+x}[/tex] . Good luck!

tan(x)+cot(x)= sec(x)*csc(x)
show me all of the steps, labeled. I would really appreciate it!

Answers

hence proved

hope it helps...!!!

HELPPP Pleaseeee

Last year, Dan opened an investment account with $6600. At the end of the year, the amount in the account had increased by 26.5%. How much is this increase
in dollars? How much money was in his account at the end of last year?


Answers

Answer:

1,749

8,349

Step-by-step explanation:

We can multiply 6,600 by 1.265 to get 8,349. To get the percentage all we have to do is multiply 6,600 by .265 and get 1,749.

Hope this helps

Write a propotion that can be used to convert 50 meters into kilometers. Then solve

Answers

Answer:

0.5km

[tex]1km = 1000m \\ x = 50m \\ \\ 50m \times 1km = 1000 \times x \\ x = 0.5km[/tex]

Find the value of x.
Explain your answer.

Answers

Answer:

Step-by-step explanation:

The hypotenuse is 16 and the adjacent angle is x.

So using SohCahToh

O is opposite, H is the hypotenuse, and A is adjacent.

Soh: sin(theta)= O/H

Cah: cos(theta)= A/H
Toh: tan(theta)= O/A

Any side length that is next to degree 60° is adjacent so x is adjecent.

Using Cah.

cos(theta)= A/H

cos(60°)= x/16

x=16*cos(60°)

x=16*1/2

x=8

Which distribution has the greatest spread?
A. Mean: 13.7 & Standard Deviation: 3.1
B. Mean: 423.6 & Standard Deviation: 1.3
C. Mean: 38.4 & Standard Deviation: 7.2
D. Mean: 231.4 & Standard Deviation: 5.5

Answers

Answer:

C. Distribution 3

Step-by-step explanation:

The more spread out a data distribution is, the greater its standard deviation.

Explain how you would create and use a spinner to simulate the probability of an event with the following probabilities:
Percent chance: 20% green, ¼ blue, ⅖ yellow, and 15% orange

Answers

To simulate the probability in a spinner divide the spinner into colors depending on the probability each color represents.

What does the word "probability" mean?

This word refers to the likelihood for an event to occur. Moreover, it is often expressed either as a fraction, a percentage, or a number.

How to create a spinner to simulate probability?

In this case, each of the colors represents a probability:

Green 20%Blue 1/4 or 25%Yellow 2/5 oe 40%Orange 15%

Due to this, the best is to divide the spinner by colors and considering the percentanges of each color. For example 40% of the spinner should be red, while 15% should be orange.

Learn more about spinner in: https://brainly.com/question/24280611

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4) Louise stops at the gift store to buy a souvenir of the Statue of Liberty. THe original
height of the statue is 151 ft. If a scale factor of 1in = 20 ft is used to design the
souvenir, what is the height of the replica?

Pls I need help ASAP

Answers

Given↷Original height⇢151ftScale factor of 1inch⇢20ftTo find↷Height of ReplicaAnswer↷7.55 inchesSolution↷

To find the height of Replica,

we'll divide the original height by the given scale factor ⇢151/20 inches⇢7.55 inches

Height=151ft

Dialted scale factor=1in=20ft

So height of replica

151/207.557.6in

What is the value of log5 125?

Answers

15 is the correct answer for this question.
The question asks, "What is the value of ㏒[tex]^5[/tex] (125)?"

The log base value is three.

Solve using the elimination method -4x-2y=-18​

Answers

Step-by-step explanation:

-4x – 2y= -18

Add 2y to both sides

-4x- 2y+ 2y = -18 + 2y

Simplify

-4x = -18 + 2y

Divide both sides by -4

-4x/-4= -18/-4+ 2y/-4

simplify

x= - -9+y/2

Find the area of the shaded shape. Write the area in square units

Answers

I got 336 square units. The top half where the squares aren't completed all the way would be three because they're halved. 3 times 16 is 48, and then the rest of the full squares would be 18 (times 16), which then results into 288. 288 plus 48 is 336, as that is my answer.

Convert the decimal 3.88888… to a fraction.

Answers

Answer:

The answer is 35/9

Step-by-step explanation:

PLEASE help me violate brainly community

I need help with this please.

Answers

Answer:

1782 cm²

Step-by-step explanation:

the required surface area =1782

units= cm²

A random survey found that 6
prefer blueberry candies from
of the 27 people surveyed prefer blueberry candies. Based on those results, about how many people
a population of 108 people?

A. 24
B. 18
C. 30
D. 12

Answers

Answer:

A

Step-by-step explanation:

108/24 finds you the ratio from people surveyed to population

gets you 1:4

so for the 6 who prefer candies you sub it it

6:(4*6)

6:24

so its 24 = A :)

A line has a slope of min Which ordered pairs could be
points on a parallel line? Select two options.
D (-8, 8) and (2, 2)
0 (-5, -1) and (0, 2)
(-3, 6) and (6, -9)
D (-2,1) and (3, -2)
D (0, 2) and (5, 5)

Answers

Answer:

-2,1 and 3,-2 also -5,-1 and 0,2

Step-by-step explanation:

solve only number 6 ​

Answers

To find the tangent line of the graph:

 ⇒ must find:

point at which the tangent line touches the graphslope of the tangent line

Let's find the point at which the tangent line touches the graph:

   At x = -1,

           [tex]y = ((-1)^3+2)^5=(-1+2)^5=1^5=1[/tex]

     Point: (-1,1)

Let's find the slope of the tangent line

  ⇒ get the derivation of function than plug (-1) in the x-position to get

       the exact slope

          [tex]\frac{d}{dx}(x^3+2)^5=5(x^3+2)^4*\frac{d}{dx}(x^3+2)=5(x^3+2)^4*3x^2\\ \\ 5((-1)^3)+2)^4*3(-1)^2=5(-1+2)^4*3*1=5*(1)^4*3=5*1*3=15[/tex]

    Slope of tangent line: 15

Now put all the calculated value into the point-slope form:

    [tex](y-y_{0})=m(x-x_{0} )[/tex]

[tex](x_{0} ,y_{0} )[/tex] --> point on the tangent linem --> tangent slope's value

   So:

     [tex](y-1)=15(x+1)\\y - 1= 15x + 15\\y = 15x + 15 + 1\\y = 15x + 16[/tex]

Thus the tangent line's equation is y = 15x + 16

Answer: y = 15x + 16

Hope that helps!


47. Racing cars driven by Chris and Kelly are side by side at the start of a race. The table shows the velocities of each car (in miles per hour) during the first ten seconds of the race. Use the Midpoint Rule to estimate how much farther Kelly travels than Chris does during the first ten seconds.

Answers

Use the Midpoint Rule Kelly travels 12m/s more than Chris does during the first ten seconds.

What is the midpoint rule?

The midpoint rule is the rule that follows the median of a set of values which is the middle value when the values are written in numerical order.

From the table above, the midpoint for the velocity of Chris car = 81, while the midpoint for the velocity of Kelly's car = 93

Therefore, the Kelly's car travelled 93-81 = 12 m/s farther than Chris does during the first ten seconds.

Learn more about median here:

https://brainly.com/question/14532771

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When randomly choosing two coins from a cup of coins that contains a penny, nickel, a dime, and a quarter, what is the probability of choosing a penny and a nickel?

Answers

penny 25% nickel 75%

Three companies offer swim lessons by the hour. Their information is shown in the tables below.
Which company has a signup fee of $11 and a cost per hour of $6

Answers

The answer is B because 6*2 = 12 + 11 = 23 !

A bucket of water was 1/2 full, but it still had 3 and 3/5 gallons of water in it. How much water would be in one fully filled bucket?

Answers

Question:

A bucket of water was 1/2 full, but it still had 3 and 3/5 gallons of water in it. How much water would be in one fully filled bucket?

Answer:

7 1/5

Step-by-step explanation:

The bucket was halfway full. It still had 3 3/5 gallons in it. So all you'd have to do is multiply 3 3/5 by 2. Here is the actual work for proof:

3 3/5 × 2 =  

18/5 × 2 =  

18 × 2

5 × 1 =  

36/5 = 7 1/5.

help please I realy nead help

Answers

Answer:

B) 77.5 square feet

Step-by-step explanation:

cut shape into rectangle and triangle

area of rectangle = x*y

area of rectangle = 5*13

area of rectangle = 65

area of triangle = (z-x)*(y-w)/2

area of triangle = 5*3/2

area of triangle = 7.5

Total area = 65 + 7.5

Total area = 77.5, B)

Answer:

77.5

Step-by-step explanation:

Cut the figure into a triangle and a rectangle


XxY=65

Z-x=5

Y-W=5

5x5=25

25/2=13.5

65+35.5=77.5

WHICH ANIMALS IS FOUND IN THE TAIGA FOREST

Answers

Answer:

1.) foxes
2.) lynxes
3.) bears
4.) minks
5.) squirrels

Step-by-step explanation: hope this helps ^^ pls mark me brainliest

Oil leaks from a tank. At hour t = 0 there are 360 gallons of oil in the tank. Each hour after that, 3% of the oil leaks out.
(a) What percent of the original 360 gallons has leaked out after 8 hours?
%
(b) if Q(t) = Q0e^kt the quantity of oil remaining after t hours, find the value of k.
k=
(c) What does k tell you about the leaking oil? Select all that apply if more than one statement is true
A. It tells what percent of oil remains after each hour.

B. It is the amount that the oil that leaks out each second.

C. Because it is less than one, we know the amount of oil in the tank is decreasing,

D. It tells by what percent of oil decays each hour.

E. Because it is negative, we know the amount of oil in the tank is decreasing.
F. It gives the continuous hourly rate at which oil is leaking.

G. None of the above

Answers

the answer is c for the question above

Find the value of x. Round to the nearest degree. ​

Answers

Answer:

x = 39°

Step-by-step explanation:

The opposing side and the hypotenuse for the angle are given.

Remember, when the opposing side and the hypotenuse are given, take the cos ratio.

cosx = 7/9x = cos⁻¹ (7/9)x = 38.9424413°x = 39°

HELPPP PLS IM GIVING 60 POINTSSSSS IT'S EASYYYYYY 6TH GRADE MATHH

Answers

Robert is wrong. The surface area of rectangular prism A is 214 square centimeters

The surface area of rectangular prism B is 856 square centimeters

Prism B’s surface area is 4 times greater then prism A’s surface area

the least common multiple of 9 and 6 is 54

Answers

Answer:

18

Step-by-step explanation:

The multiples of 9 are 9,18,27,36,45,54,63,...

The multiples of 6 are 6,12,18,24,30,36,42,...

find x.


please help whoever egts right gets brainliest

Answers

Answer:24

Step-by-step explanation:

a^2+b^2=c^2

c^2 has to be 26 because it is the hypotinuce. 10 could take the place of a^2 or b^2, it dose not matter.

a^2+10^2=26^2

a^2+100=676

subtract 100 from both sides

a^2=576

sqrt576

a=24

x=a

x=24

Mike paid $492.60 for 4 new tires for his truck. If each tire cost the same, What was the cost for 1 tire?

Can someone help me with it, plase? :(​

Answers

Answer:

123.15

Step-by-step explanation:

Find the area and the circumference of a circle with radius .
Use the value for , and do not round your answers. Be sure to include the correct units in your answers.

Answers

Answer: 25.12

Step-by-step explanation:

Circumference = πd or 2πr

Since the radius is given (which is 4) we will use 2πr

2× 3.14×4=

8 × 3.14 =

25.12

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