Suppose a research company takes a random sample of 45 business travelers in the financial industry and determines that the sample average cost of a domestic trip is $1,192, with a sample standard deviation of $279. Construct a 98% confidence interval for the population mean (for domestic trip) from these sample data. Round your answers to 3 decimal places.

Answers

Answer 1

Answer:

98% confidence interval for the population mean =(1095.260,1288.740)

Step-by-step explanation:

We are given that

n=45

[tex]\mu=1192[/tex]

Standard deviation,[tex]\sigma=279[/tex]

We have to construct a 98% confidence interval for the population mean.

Critical value of z at 98% confidence, Z =2.326

Confidence interval is given by

[tex](\mu\pm Z\frac{\sigma}{\sqrt{n}})[/tex]

Using the formula

98% confidence interval is given by

[tex]=(1192\pm 2.326\times \frac{279}{\sqrt{45}})[/tex]

[tex]=(1192\pm 96.740)[/tex]

=[tex](1192-96.740,1192+96.740)[/tex]

=[tex](1095.260,1288.740)[/tex]

Hence, 98% confidence interval for the population mean (1095.260,1288.740)


Related Questions

Jacob bought a magazine for $2.80 and three candy bars. Write an expression for how much Jacob paid.

Answers

Answer:

total = 2.8 + 3x

x is the price of the candy bars

A rocket is fired upward with an initial velocity v of 100 meters per second. The quadratic function S(t)=-5t^2+100t can be used to find the height s of the rocket, in meters, at any time t in seconds. Find the height of the rocket 7 seconds after it takes off. During the course of its flight, after how many seconds will the rocket be at a height of 450 meters?

Answers

The rocket will be at the height of 450metres at 13.16secs and 6.84secs

Given the expression modeled by the height S(t)=-5t^2+100t where

t is the time taken by the rocket to take off

s is the height traveled by rocket

In order to find the height of the rocket 7 seconds after it takes off, we will substitute t = 7 into the equation

S(7) = -5(7)²+100(7)

S(7) = -5(49)+700

S(7) = -245+700

S(7) = 455metres

Hence the height of the rocket 7 seconds after it takes off is 455metres

Given that S = 450m, we can also get the time taken by the rocket at this height.

Recall that S(t)= -5t²+100t

450 = -5t²+100t

Rearrange

-5t²+100t - 450 = 0

5t²-100t + 450 = 0

Divide through by 5

t²-20t + 90 = 0

On factorizing above equation;

t= 10+√10 or t=10−√10

t = 10+3.1623 or 10 - 3.1623

t = 13.16 and 6.84secs

Hence the rocket will be at the height of 450metres at 13.16secs and 6.84secs

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One number is eight less than a second number. Five times the first is 6 more than 6 times the second. Find the numbers. The value of the first number is _____.

Answers

Answer:

I think the value of first number is 30.


Which ordered pair would form a proportional
relationship with the points in the graph?
O (44)
O (69)
O (9,6)
O (8,5)

Answers

Answer: o (44)
6,9
8,9

14. Solve for p. Assume that none of the denominators are equal to 0
Plz help me​

Answers

Answer:

Step-by-step explanation:

Divide by y

kl/y = f/(p + n) + r/u              Subtract r/u from both sides

kl/y - r/u = f/(p + n)               Multiply both sides by (p + n)

(kl/y - r/u ) (p + n) = f            Divide by (kl/y - r/u)

p + n = f / (kl/y - r/u)             Subtract n from both sides

p  =  f / (kl/y - r/u)  - n

I think I'd leave this as the answer. I don't think you are expected to make it a 2 tier fraction.

Ginny and her classmates formed a study group. The number of girls in the study group was 3 more than twice the number
of boys. There were 11 girls in the study group. How many boys were in the study group?

Answers

It’s 4 boys.

11-3=8 8\2=4

Answer:

I think the answer is 4 boys

Step-by-step explanation:

Let the no of boys be y.

No. of girls = 11

= 3 + 2y (equation)

3 + 2y = 11

3 - 3 + 2y = 11 - 3

2y = 8

2y/2 = 8/2

y = 4

Boys = 4

What is the domain of the function graphed below?

Answers

Answer:

A. x<7

Step-by-step explanation:

The point at x=7 is an open circle, so the sign is <, not ≤

g Kristina Karganova invites 17 relatives to a​ party: her​ mother, ​aunts, ​uncles, ​brothers, 1 male​ cousin, and female cousins. If the chances of any one guest arriving first are equally​ likely, find the probabilities that the first guest to arrive is as follows. ​(a) A brother or an uncle ​(b) A brother or a cousin ​(c) A brother or her mother ​(a) The total number of outcomes is nothing and the number of outcomes in the event is nothing.

Answers

Answer:

7 / 17 ;

10 / 17 ;

5 / 17

Step-by-step explanation:

Guests :

Mother = 1

Aunts = 3

Uncles = 3

Brothers = 4

Male cousin = 1

Female cousin = 5

_________________

Total guests = 17

Since each of the guests have an equal probability of arrival :

Probability that first guest to arrive :

Brother or uncle :

Number of brothers =4

Number of uncles = 3

P(brother or uncle) = required outcome / Total possible outcomes

Required outcome (number of brothers + uncles) = (4 + 3) = 7

Total possible outcomes = total guests = 17

P(brother or uncle) = 7 / 17

2.)

P(brother or cousin) :

Required outcome = (number of brothers + cousins) = (4 + 1 + 5) = 10

Total possible outcomes = total guests = 17

P(brother or cousin) = 10/17

3.)

P(brother or mother) ;

Required outcome = (number of brothers + mother) = (4+1) = 5

Total possible outcomes = total guests = 17

P(brother or mother) = required outcome / Total possible outcomes = 5 / 17

HELP!!!!
Please help me!!
I need help!!
HELP!!!!

Answers

Answer:

Pretty sure it's A

Step-by-step explanation:

The x outside the parenthesis means that there's an x intercept at (0,0) and (x-3) means there's another one at (3,0)

Please help!
It took Suki 127 minutes from start to finish to carve her pumpkin. Carving the pumpkin took her 13 fewer minutes than 10 times as long as it took her to pick the pumpkin out at the pumpkin patch. Write and solve an equation to find how long it took Suki to pick out her pumpkin.

Answers

9514 1404 393

Answer:

  14 minutes

Step-by-step explanation:

Let t represent the time it took Suki to pick out her pumpkin. The given relation is ...

  10t -13 = 127 . . . . . equation for minutes to carve

  10t = 140 . . . . . . . . add 13

  t = 14 . . . . . . . . . . divide by 10

It took Suki 14 minutes to pick out her pumpkin.

How can you create and graph a piecewise function that has restrictions on the domain?

Answers

Answer:

Use inequalities.

At certain x values.

Step-by-step explanation:

[tex]3 \leqslant x \leqslant 6[/tex]

[tex] - \infty < x < \infty [/tex]

[tex]x = 6[/tex]

Given that f(x) = 2x + 9, find the value that makes f(x) = 27.

Answers

Answer:

9

Step-by-step explanation:

f(x) = 2x+9

f(x) = 27

so, you get:

2x+9=27

2x=18

x=9

CAN SOMEONE PLEASE HELL ME WITH THIS PROBLEM? THANK YOU!!!

Answers

Answer:

71

Step-by-step explanation:

The reference angle is always the smallest angle  with the x-axis.

The nearest x axis is at 0 or another name for 0 is 360

360 -289 = 71

The reference angle is 71

I will give a brainliest and 20pts to the person that can use the Pythagorean theorem to solve for x. Please help. I went over it several times and the answer I got doesn't match up with what the box says ​

Answers

Answer:

x = 48

Step-by-step explanation:

Pythagorean thm:

a² + b² = c²

Given:

a = x

b = 36

c = 60

Work:

a² + b² = c²

x² + 36² = 60²

x² + 1296 = 3600

x² = 3600 - 1296

x² = 2304

√x² = √2304

x = 48

P,W,R & S form the vertices of a quadrilateral. PQR = 74 degrees
RSP = 121 degrees
Find the value of SPQ

Answers

Answer:

∠ SPQ = 75°

Step-by-step explanation:

The sum of the 4 angles in a quadrilateral = 360°

Subtract the sum of the 3 angles from 360 for ∠ SPQ

∠ SPQ = 360° - (90 + 74 + 121)° = 360° - 285° = 75°

What are m and b in the linear equation, using the common meanings of m and b? 2 + 3x + 5 - 2x = y

Answers

y=mx+b is the general formula of linear equation

y=-2x+5+3x+2

y=1x+7

m=1

b=7

Linear equation given in the question is,

2 + 3x + 5 - 2x = y

To simplify this equation further,

Add like terms of the equation,

        (2 + 5) + (3x - 2x) = y

         7 + x = y

Now compare this linear equation with the slope-intercept form of the linear equation,

y = mx + b

Here, m = slope of the line'

b = y-intercept

By comparing the equations,

m = 1

b = 7

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Jose saves $22.45 a week which is 37% of his weekly pay. How much is Jose's weekly pay?

Answers

I believe it is $60.67 a week

The graph shown below expresses a radical function that can be written in
17
the form f(x) = a(x + k)!
C. What does the graph tell you about the
value of k in this function

Answers

Answer:

C. [tex]k[/tex] is greater than zero.

Step-by-step explanation:

We know that graph is obtained from the function of the form [tex]f(x) = a\cdot (x+k)^{1/n} + c[/tex]. According to the graph and if [tex]x + k = 0[/tex], we find that:

[tex]x = -k[/tex] (1)

[tex]x < 0[/tex] (2)

By (1) and (2):

[tex]-k < 0[/tex]

[tex]k > 0[/tex]

Hence, correct answer is C.

Evaluate 6 x (15 - 7) - 4
A: 10
B: 24
C: 44
D: 79

Answers

First Of All Please Follow This
PEMDAS

P: ()
E:^
M:x
D:/
A:+
S:-

6 x (15 - 7) - 4
6 x (8) - 4
48 - 4
44

Answer: C

Answer:

44

Step-by-step explanation:

6 x (15 - 7) - 4

PEMDAS says Parentheses first

6 x (8) - 4

Then multiply

48 -4

Then subtract

44

Solve x2 + 8x + 22 = 0 by completing the square.
Question 20 options:

A)

x = –4 + i√ 6 , x = –4 – i√ 6


B)

x = –4 + √ 14 , x = –4 – √ 14


C)

x = –4 + i√ 14 , x = –4 – i√ 14


D)

x = –4 + √ 6 , x = –4 – √ 6

Answers

Answer:

A)

Step-by-step explanation:

the solution of a squared equation is

x = (-b ± sqrt(b² - 4ac)) / (2a)

in our case

a = 1

b = 8

c = 22

x = (-8 ± sqrt(64 - 88))/2 = (-8 ± sqrt(-24))/2 =

= (-8 ± sqrt(4×-6))/2 = (-8 ± 2×sqrt(-6))/2 =

= -4 ± sqrt(-6) = -4 ± i×sqrt(6)

What is the surface area?
9 ft
6 ft
3 ft
square feet

Answers

Answer:

the answer to this question is equal to 162

A region is bounded by x=y^2 and x=4 and y=0 and revolved about the line x=5. Find the volume using shell method.

Answers

If you draw the bounded region in the x,y-plane, you'll find it to be somewhat ambiguous, but since y = 0 cuts the area between the parabola x = y ² and x = 4 perfectly in half, you can use either the top or bottom half. I'll use the top one, i.e. assume y ≥ 0.

For every x taken from the interval [0, 4], we can get a shell with height √x. The distance from x to the axis of revolution, x = 5, is 5 - x, which corresponds to the radius of the shell. The area of this shell is

2π (radius) (height) = 2π (5 - x) √x

Then the volume of the solid is the sum of infinitely many such shells made at every 0 ≤ x ≤ 4, given by the integral

[tex]\displaystyle 2\pi \int_0^4 (5-x)\sqrt x\,\mathrm dx = 2\pi \int_0^4 \left(5x^{1/2}-x^{3/2}\right)\,\mathrm dx \\\\ = 2\pi \left(\frac{10}3x^{3/2}-\frac25x^{5/2}\right)\bigg|_0^4 \\\\ = \boxed{\frac{416\pi}{15}}[/tex]

I ONLY need 8c
Please show ALL STEPS

Answers

Answer:

8c

f(g(x)) = x^4 + 2x^3 - x

g(f(x)) =  x^4 + 2x^3 + 2x^2 - x

Step-by-step explanation:

f(x) = x^2 - x ; g(x) = x^2 + x

f(g(x)) = (x^2 + x)^2 - (x^2 + x)

f(g(x)) = (x^2 + x)^2 - x^2 - x

f(g(x)) = (x^2 + x)(x^2 + x) - x^2 - x

f(g(x)) = x^4 + x^3 + x^3 + x^2 - x^2 - x

f(g(x)) = x^4 + 2x^3 - x

g(f(x)) = (x^2 - x)^2 + x^2 - x

g(f(x)) = (x^2 + x)(x^2 + x) + x^2 - x

g(f(x)) = x^4 + x^3 + x^3 + x^2 + x^2 - x

g(f(x)) =  x^4 + 2x^3 + 2x^2 - x

A wall that is 10 feet high and 16 feet wide is to be painted, but the wall has two rectangular windows (which should not be painted). If each window is 4 feet by 7 feet, determine the area of the space to be painted.

Answers

Answer:

104 square feet

Step-by-step explanation:

Total area of the wall: 10 x 16 = 160 square feet

Area of each window: 4 x 7 = 28

Since there are 2 windows, the total area that should not be painted is 28 x 2 = 56 square feet

160 - 56 = 104 square feet

To determine the area of the space to be painted on a wall with two rectangular windows, we need to calculate the total area of the wall and subtract the area of the windows.

First, let's calculate the area of the wall. The wall is 10 feet high and 16 feet wide, so the total area of the wall is: Area of wall = height × width = 10 feet × 16 feet = 160 square feet Next, let's calculate the area of each window. Each window is 4 feet high and 7 feet wide, so the area of each window is: Area of window [tex]= height × width = 4 feet × 7 feet = 28[/tex]  square feet Since there are two windows, the total area covered by the windows is 2 times the area of one window,

Which is: Total area of windows [tex]= 2 × 28[/tex] square feet = 56 square feet Finally, we can calculate the area of the space to be painted by subtracting the total area covered by the windows from the total area of the wall: Area to be painted = Area of wall - Total area of windows = 160 square feet - 56 square feet = 104 square feet Therefore, the area of the space to be painted on the wall is 104 square feet.

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Find the APR, rounded to the nearest tenth of a percent (one decimal place) for the loan. Purchase a living room set for $4,900 at 8% add-on interest for 4 years. Enter only the number without % sign.

Answers

9514 1404 393

Answer:

  14.3%

Step-by-step explanation:

We assume this question is asking for the annual interest rate for an amortized loan that would produce the same total repayment amount as if 8% simple interest were added to the $4900 loan amount. There is no formula for that, but there are a number of apps and spreadsheets that can calculate it. In the attached, we have use a graphing calculator.

The APR is about 14.3%.

_____

The amount to be repaid is calculated using the simple interest formula:

  A = P(1 +rt) = $4900(1 +0.08·4) = $6468

Then the required monthly payment (for 48 months) is ...

  $6468/48 = $134.75

__

The payment amount for a 48-payment loan at rate r on a principal of $4900 will be ...

  A = 4900(r/12)/(1 -(1 +r/12)^-48)

In the attachment, we show the value of r (in percent) that would make the payment amount A be $134.75. We have done this by casting the problem in the form f(r) = 0 and looking for the x-intercept of f(r).

_____

Additional comment

The second attachment uses a spreadsheet for the same purpose. Here, we have used Go.ogle Sheets with a "Goal Seek" add-on to adjust the value in cell B5 so that the computed payment on the loan (cell B6) is the same as the value we calculated in cell B4.

We found the graphing calculator solution to be much quicker, though in that case we actually had to know the formula to use to calculate the payment. The payment formula is built into the spreadsheet.

Need help!

given rectangle ABCD find m<CAB​

Answers

Answer:

∠ CAB = 60°

Step-by-step explanation:

∠ CAD and ∠ BCA are alternate angles and congruent , so

∠ CAD = 30°

∠ BAD = 90° ( angle in a rectangle ) , then

∠ CAB = 90° - ∠ CAD = 90° - 30° = 60°

The measure of the angle m∠CAB is 60.

What is a rectangle?

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

The rectangle has 90 degrees on all the vertices.

So,

In ΔABC,

The sum of the angles = 180

So,

30 + 90 + m∠CAB = 180

m∠CAB = 180 - 120

m∠CAB = 60

Thus,

The measure of the angle m∠CAB is 60.

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GIVING 15 POINTS PLS FAST

Drag the tiles to the boxes to form correct pairs.

Match each addition operation to the correct sum.

-24 8 + 30

131.87

28.98+(-52.22)

65

45%+39

-23.24

56.75 +75.12

Reset

Next

Next

Answers

Answer:

Hope this helps! All you needed to do was add and subtract. Go through the slides, I added the step by step explanation, as well as the final table which contains the answers.

The value of the expressions are:

24(5/9) +30(7/9) = 6(2/9)

45(2/9) +39(3/9) = 84(5/9)

28.98 + (-52.22) =-23.24

56.75 + 75.12 = 131.87

We have,

Expressions:

-24(5/9) +30(7/9)

Simplifying the fractions.

This can be written as,

= (-24 + 30) +(-5/9 + 7/9)

= 6 + 2/9

= 6(2/9)

45(2/9) +39(3/9)

= (45 + 39) + (2/9 + 3/9)

= 84 + 5/9

= 84(5/9)

28.98 + (-52.22)

= 28.98 - 52.22

= -23.24

56.75 + 75.12

= 131.87

Thus,

The value of the expressions are:

24(5/9) +30(7/9) = 6(2/9)

45(2/9) +39(3/9) = 84(5/9)

28.98 + (-52.22) =-23.24

56.75 + 75.12 = 131.87

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A cubical water tank is 80 cm broad. find the volume of tank?​

Answers

Answer:

512000

Step-by-step explanation:

l=80cm

v=l^3

=80^3

=512000cm^3

What is |1-8i|?

A.
B.
C
D

Answers

9514 1404 393

Answer:

  (b) √65

Step-by-step explanation:

The modulus of a complex number is the root of the sum of the squares of the real and imaginary parts.

  |1 -8i| = √(1² +(-8)²) = √(1+64) = √65

Write each rate as a fraction in lowest terms
20 feet in 30 seconds

Answers

Answer:

[tex] = { \boxed{ \sf{ \frac{2}{3} }}} \: { \tt{feet/sec }}[/tex]

Answer:

2/3

Step-by-step explanation:

The basic formula is d = r * t. The units are important. Time is usually recorded as seconds. d can be feet or meters in standard form. The formula has to be rearranged to get r by itself.

r = d/ t

d = 20 feet

t = 30 seconds

r = 20 feet / 30 seconds

r = 20 ft/sec

Even though you are told not to enter the units, it is still important to recognize what they are.

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