Problem: According www.textrequest, an American between 18-24 sends and receives about 128 text messages per day. Assume that the population standard deviation is 30 for this age group. To get an idea about the true population mean you take a survey of 100 adults in that age group and find that their average is 135. Create a 90% confidence interval for the population average for this age group.

Answers

Answer 1

Answer:

(130.08, 139.92)

Step-by-step explanation:

Given that:

Mean (m) = 135

Standard deviation (σ) = 30

Sample size (n) = 100

α = 90%

The confidence interval value is obtained using the relation:

Mean ± Zcritical * (standard deviation / sqrt(n))

Zcritical at 90% = 1.64

standard deviation / sqrt(n) = 30 / sqrt(100)

= 30 / 10 = 3

Hence,

135 ± 1.64 * (3)

Lower limit : 135 - (1.64 * 3) = 130.08

Upper limit : 135 + (1.64 * 3) = 139.92

Hence,

Confidence interval = (130.08, 139.92)


Related Questions

Function or Non-Function

Answers

Answer:

2 is not a function.

3 is a function

Step-by-step explanation:

one x value should each have a line leading off it. there are 2 y values for one x values in question 2 so its not a function

6(n+4)=-18
Please please help me

Answers

Answer:

-1

Step-by-step explanation:

-7+4= -3

-3*6= -18

N= -7

Hope this helped! (ノ◕ヮ◕)ノ*:・゚✧

( ゚д゚)つ Bye

Jenny had 56 candles. She sold 2/7 of them and then split it evenly among her and her sister. How many candles did each sister get?

Answers

Answer: Each sister got 8 candles

How?

(2/7)(56) = 16

16/2 = 8

What is the domain and range of the following ordered pairs: {(-6, -7), (-1, 1), (0,
9), (3,-2)}? *
Wh
Domain: {-6, -1,0, 3} Range: (-6, -1, 0, 3}
Domain: {-7,1,9, -2} Range: {-7,1,9,-2}
Domain: {-7,1, 9, -2} Range: (-6,-1, 0,3}
Domain: {-6,-1, 0,3} Range: {-7, 1, 9, -2}

Answers

Answer:

The answer is the last option (d.)

Step-by-step explanation:

The domain is the X values and the range is the Y values.

Answer:

Answer: Domain {-6,-1,0,3} Range: {-7,1,9,-2}

Step-by-step explanation:

I took the test and it was correct.

I WILL GIVE BRAINLIEST TO RIGHT ANSWER: The length of a bridge on a map is 1.5 cm. What is the actual length of the bridge in meters if the map is drawn at a scale of 1 : 40,000.

Answers

Answer: 600 m

Step-by-step explanation:

Imagine we have measured a distance as 1.5 cm on this map, and we want to find out how far this is in real life.

To work out the distance in real life, we need to multiply this length by 40,000.

This gives 1.5 cm × 40,000 = 60,000 cm which is 600 m or 0.6 km.

Sol b : Alternatively, we could have just remembered that each 1 cm on the map is 0.4 km in real life.

Hence, 1.5 cm on the map must be 1.5 × 0.4 km = 0.6 km in real life.

HELP!!! ILL MARK BRAINLYEST!

Answers

Answer:

its 1 and 3

Step-by-step explanation:

you can tell cant you

3 • (5•x) , 5 • (x•3) , 15x

20)
Rachael has two jobs. She earns $9 per hour babysitting, and she earns $12 per hour working at the coffeehouse.
Rachael wants to earn a minimum of $240. Which inequality represents this situation, if x represents hours babysitting
and y represents hours at the coffeehouse?
A)
12x + 9y <240
B)
9x + 12y > 240
0
12x + 9y s 240
D)
9x + 12y 2 240

Answers

Answer:

babysitting = $9

working at coffeehouse = $12

x = hours for babysitting

y = hours at coffeehouse

minimum = ≥

9x + 12y ≥ 240

Step-by-step explanation:

just a short note on which symbol you should use when you see these words in inequality questions:

i) use ≥

-more than or equal to

-not less than

-at least

-minimum

ii) use >

-more than

-greater than

iii) use ≤

-less than or equal to

-not more than

-at most

-maximum

iv) use <

-less than

The inequality 9x + 12y ≥ 240 represents that Rachael wants to earn a minimum of $240 if she earns $9 per hour babysitting, and she earns $12 per hour working at the coffee-house.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

Rachael earns $9 per hour babysitting, and she earns $12 per hour working at the coffee-house.

x is the number of hours babysitting.

y is the number of hours at the coffee-house.

9x + 12y ≥ 240

Because, Rachael wants to earn a minimum of $240.

Thus, the inequality 9x + 12y ≥ 240 represents that Rachael wants to earn a minimum of $240 if she earns $9 per hour babysitting, and she earns $12 per hour working at the coffee-house.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ2

Which of the following expressions is the inverse of the function y = 3x + 4?

Answers

Answer:

Reverse the x and y:

x = 3y + 4.  

Now subtract 4 from both sides:

x - 4 = 3y

Divide both sides by 3:

1/3 x - 4/3 = y

Can you please answer number 23. And number 24.
Please please show me how to do it and tell me the answers

Answers

Answer:24 is 34miles per hour

Step-by-step explanation:

Answer:

1st

A pound is defined as exactly 0.45359237 kilograms.

so 50 x 0.45359237 = 22.679619 Kilograms

2. 55km to miles = 34.16

for an approximate result, divide the length value by 1.609

Step-by-step explanation:

help need done quick pls.

Answers

The answer is 44 because there is a right angle and right angels are 90 degrees so if you add 90 and 46 you get 136 and a triangle is 180 so 180-136=44

Write a polynomial expression that represents the total area of a square with a side length of (3x - 4).

Answers

We now that in order to calculate the area of a square we use the formula a^2

Where a=length of the side

So (3x-4)^2 that is the same as (3x-4)(3x-4)

Then just multiply each term by each term

The answer is 9x^2 - 24x + 16



Choose the missing step in the given solution to the inequality −x − 10 > 14 + 2x.

−x − 10 > 14 + 2x
−3x − 10 > 14
_____________
x < −8

Answers

Step-by-step explanation:

-3x - 10 > 14

-3x > 24 (add 10 to both sides)

x < -8 (divide by -3, flip inequality sign)

The missing step is -3x > 24.

Which of these affect real investment value? Check all that apply.

Answers

Answer:

Fees and expenses

nominal interest rate

taxes

Step-by-step explanation:

URGENT PLEASE I NEED HELP AND KINDLY SHOW THE SOLUTION/S AS WELL :))

Answers

Answer:

1. Steve's age is 18 and Anne's age is 8.

2. Max's age is 17 and Bert's age is 11.

3. Sury's age is 19 and Billy's age is 9.

4. The man's age is 30 and his son's age is 10.

Step-by-step explanation:

1. Let us assume that:

S = Steve's age now

A = Anne's age now

Therefore, in four years, we have:

S + 4 = (A + 4)2 - 2

S + 4 = 2A + 8 - 2

S + 4 = 2A + 6 .................. (1)

Three years ago, we have:

S - 3 = (A - 3)3

S - 3 = 3A - 9 ................................ (2)

From equation (2), we have:

S = 3A - 9 + 3

S = 3A – 6 …………. (3)

Substitute S from equation (3) into equation (1) and solve for A, we have:

3A – 6 + 4 = 2A + 6

3A – 2A = 6 + 6 – 4

A = 8

Substitute A = 8 into equation (3), we have:

S = (3 * 8) – 6

S = 24 – 6

S = 18

Therefore, Steve's age is 18 while Anne's age is 8.

2. Let us assume that:

M = Max's age now

B = Bert's age now

Therefore, five years ago, we have:

M - 5 = (B - 5)2

M - 5 = 2B - 10 .......................... (4)

A year from now, we have:

(M + 1) + (B + 1) = 30

M + 1 + B + 1 = 30

M + B + 2 = 30 .......................... (5)

From equation (5), we have:

M = 30 – 2 – B

M = 28 – B …………………… (6)

Substitute M from equation (6) into equation (4) and solve for B, we have:

28 – B – 5 = 2B – 10

28 – 5 + 10 = 2B + B

33 = 3B

B = 33 / 3

B = 11

Substituting B = 11 into equation (6), we have:

M = 28 – 11

M = 17

Therefore, Max's age is 17 while Bert's age is 11.

3. Let us assume that:

S = Sury's age now

B = Billy's age now

Therefore, now, we have:

S = B + 10 ................................ (7)

Next year, we have:

S + 1 = (B + 1)2

S + 1 = 2B + 2 .......................... (8)

Substituting S from equation (7) into equation (8) and solve for B, we have:

B + 10 + 1 = 2B + 2

10 + 1 – 2 = 2B – B

B = 9

Substituting B = 9 into equation (7), we have:

S = 9 + 10

S = 19

Therefore, Sury's age is 19 while Billy's age is 9.

4. Let us assume that:

M = The man's age now

S = His son's age now

Therefore, now, we have:

M = 3S ................................... (9)

Five years ago, we have:

M - 5 = (S - 5)5

M - 5 = 5S - 25 ................ (10)

Substituting M from equation (9) into equation (10) and solve for S, we have:

3S - 5 = 5S – 25

3S – 5S = - 25 + 5

-2S = - 20

S = -20 / -2

S = 10

Substituting S = 10 into equation (9), we have:

M = 3 * 10

M = 30

Therefore, the man's age is 30 and his son's age is 10.

Help?.?.??? I’ll give brainliest to the first person who responses

Answers

Answer:

1. y=3x

2. y=1x

3. y=7x

4. y=1x+7

5. y=3x-3

6. y=12x+2

Step-by-step explanation:

Hope this helps!

A bag contains 4 red marbles, 3 blue marbles and 7 green marbles. If three marbles
are drawn out of the bag, what is the probability, to the nearest 1oth of a percent, thai
all three marbles drawn will be green?

Answers

Answer:

20%

Step-by-step explanation:

4+3+7=14

14÷7=2

2×10=20

If I am wrong please tell me I haven't had to do this me method in 3 years

Write a function formula for g using the function f.
g(x)=

Write a function formula for f using the function g.
f(x)=


Answers

Answer:

g(x) = -f(x+3)

f(x) = -g(x-3)

Step-by-step explanation:

Transformations

Function f can be obtained by knowing function g and vice-versa.

Suppose we know the expression of function f. If we reflect f across the x-axis, we get function g but displaced 3 units to the right.

Thus, we only have to translate the reflected f 3 units to the left:

g(x) = -f(x+3)

Similarly, if g(x) is reflected across the x-axis and translated by 3 units to the right, we get f(x), thus:

f(x) = -g(x-3)

Lla must work at least 5 hours per week in her family's restaurant for $8 per hour. She also does yard work for $12 per hour. Lla's parents allow her to work a maximum of 15 hours per week overall. Lla's goal is to earn at least $120 per week.
1. Write a system of Inequalities to represent this situation. Letr be the number of hours worked at the restaurant, and let y be the number of hours of yard work.
2. Graph the Inequalities.
3. What is the maximum number of hours Lla can work at the restaurant and still meet her earnings goal? Explain.
4. What is the maximum amount of money Lla can earn In 1 week? Explain.​

Answers

Answer:

12a + 8b < 120c

Step-by-step explanation:

to write the inequalities, you have to label the variables. Lets let a be the yard work, b be the work at the family resteraunt, and c be the total hours of work. You would get an equation of:

12a + 8b < 120c

Also I apologize, I do not know how to graph this equation in a type box

Jake had 42 frogs and gave the same number of frogs to each of his & cousins. If each cousin receives 14 frogs, did Jake have 2, 3, or 6 cousins?
pleas answer 100% honestly

Answers

Answer: 3 cousins

Step-by-step explanation:

Each of his cousins gets the same number of frogs, which is 14. To find the number of cousins Jake has, you need to divide 42 by 14, which is 3. Thus, Jake has 3 cousins.

I need to Determine which two whole numbers each problem lies between. The number is 10/3

Answers

Answer:

I am not sure.

Step-by-step explanation:

HELP DUE IN 2 MIN
The ratio of boys to girls in a classroom is 6 to 5. If
there are a total of 18 boys in the classroom, find
the number of girls in the classroom.

Answers

Answer:

15

Step-by-step explanation:

18/3=6

15/3=5

Answer:

15

Step-by-step explanation:

If the ratio is 6:5 and we know the boys are 18, we have 18:?

18/6=3, so we have to do 5*3. 5*3=15.

The ratio is 18:15, the number of girls in the classroom is 15

RENT? GIVE ME RENT If the mean of six nu m b e rs is 48, does one
of the nu m b e rs have to be 48? Explain
why or why not. Give an example with six
nu m b e rs to show your answe

Answers

Answer:

No, none of the number need to be 48 for the mean to be 48. To get a mean, you add up all the number and divide it by the amount of numbers.

Example:

the mean of 10, 79, 42, 88, 19, and 50 is 48, but the actual number 48 was not part of the set.

10 + 79 + 42 + 88 + 19 + 50 = 288

288 ÷ 6 = 48

The gates to the zoo open at 8 a.m. and 60 people enter. The number of visitors to the zoo triples every hour until 1 p.m.

How many visitors are at the zoo at 1 p.m.? Write the answer in exponential notation.

Answers

Answer:240 visitors are at the zoo

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

We can solve this problem by creating a chart from 9am to 12pm. Each hour we must "triple," meaning "multiply by 3."

9am-10am is 6 visitors

10am-11am is 6*3=18 visitors

11am-12pm is 18*3=54 visitors

the difference between two numbers is 9 find the numbers if their sum is 46

Answers

x + y = 46 x=46-y

x - y= 9

46 - y - y= 9

46 - 2y = 9

Y=37/2

Answer:

x - y = 9

x = 9 + y (equation 1)

Their sum is 46

x + y =46

(9 + y) + y = 46

9 + 2y = 46

2y = 46 - 9

2y = 37

y = 37/2

y = 18.5 ( one number)

second number =

place the value of y in equation 1

x = 9 + 18.5

x = 27.5

The two numbers are 18.5 and 27.5

Step-by-step explanation:

A 5 lb. package of chicken costs $6.00. What is the cost per pound?

Answers

Answer:

$1.2

Step-by-step explanation:

Cost per pound = 6/5 = $1.2

Answer:

1.20 a pound

Step-by-step explanation:

Help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

A, 2 5/8 cups

Step-by-step explanation:

Since six dozen brownies is three times as much as two dozen, we can multiply 7/8 cups by 3. 3 x 7/8 = 21/8 If we simplify this fraction, it is 2 5/8. Therefore the answer is A, 2 5/8 cups.

I think the answer is the last one the 3 and 1/2

What is the value of each expression in simplest form?
2 1/2 divided by 4 3/4

Answers

Answer:

Its something

Step-by-step explanation:

2 1/2 is uh pretty cool

Answer:

47/32

Step-by-step explanation:

What is a unit rate? *
items of different measures being compared
a ratio in which the second value is one
a comparison of two quantities by division
0 This is a required question

Answers

Answer:

a ratio in which the second value is one

Step-by-step explanation:

Hope this helps!

Answer: How much of something per 1 unit of something else. Examples: • 100 cars pass by in 2 hours. The unit rate is 50 cars per hour. • You can paint 3 boards in half an hour. The unit rate is 6 boards per hour. • 200 sausages were eaten by 50 people. The unit rate is 4 sausages per person. • They need 5 m of thread to make 2 cm of cloth.

Step-by-step explanation: Just wanted to give a example if that doesn't help go to google and watch a video or do some reading about it!

What is the answer I need help pls

Answers

Answer:

The answers are,

-3, -7

-2, 4

0, 2

2, 8

3, 11

Step-by-step explanation:

You just plug in the domain values into the equation and solve for f(x), so your domain number is your x value and the y value(f(x) value) is the answer

Write a function formula for g using the function f.
g(x)=

Write a function formula for f using the function g.
f(x)=

Answers

9514 1404 393

Answer:

  g(x) = f(x -2) -1

Step-by-step explanation:

The transformation g(x) = f(x -h) +k causes the graph of function f(x) to be translated h units to the right and k units up. Here, g is translated 2 units right and 1 unit down, so (h, k) = (2, -1). The translated function is ...

  g(x) = f(x -2) -1

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