A survey of 1000 young adults nationwide found that among adults aged 18-29, 35% of women and 30% of men had tattoos. Suppose that these percentages are based on random samples of 500 women and 500 men. Using a 2.5% level of significance, can you conclude that among adults aged 18-29, the proportion of all women who have tattoos exceeds the proportion of all men who have tattoos?

Answers

Answer 1

Answer:

95% confidence interval for adults in age group 18-29 is (-0.007, 0.107)

Step-by-step explanation:

Given  

N1 = n2 = 500

% of males = 0.30

% of females = 0.35

95% confidence interval  

(p2-p1) + z(0.025) sqrt (p1q1/n1 + p2q2/n2)  and (p2-p1) - z(0.025) sqrt (p1q1/n1 + p2q2/n2)  

Substituting the given values, we get –  

(0.35-0.30) + 1.96 sqrt (0.3*0.7/500 + 0.35*0.65/500) and (0.35-0.30) - 1.96 sqrt (0.3*0.7/500 + 0.35*0.65/500)

0.05 + (1.96 *0.029) and 0.05 - (1.96 *0.029)

0.05 + 0.057 and 0.05 – 0.057  

(-0.007, 0.107)


Related Questions

Farmer Jane would like to show a net profit of $1,000 per month. She is growing tomatoes and sells them for $3 per pound. Her variable costs per pound are $1, and she has $700 in fixed cost. How many pounds does she need to sell?

Answers

Answer:

850

Step-by-step explanation:

Each pound of tomatoes costs one dollar to produce, and sells for three dollars. That's a net profit of 2 dollars per pound of tomatoes.

We need a profit of 1000 dollars, and to pay the 700 dollars in operating costs, for a total of 1700 dollars needed.

So 1700 dollars divided by 2 dollars per pound of tomatoes comes out to 850 pounds of tomatoes.

The amount of time needed to complete a certain roadtrip, t, varies inversely with the speed of a vehicle, s. At a speed of 52 miles per hour, the trip will be complete in 12 hours. How many hours would it take at a speed of 48 miles per hour?

Answers

Answer:

The time it will take is 13 hours

Step-by-step explanation:

From the given statement, we can generate the following inverse proportion relationship between t and s

t ∝ 1/s

[tex]t = \frac{k}{s} \\\\where;\\\\k \ is \ constant\\\\k = t_1s_1 = t_2s_2 \\\\t_2 = \frac{t_1s_1}{s_2} \\\\t_2 = \frac{12 \times 52}{48} \\\\t_2 = 13 \ hours[/tex]

The time it will take is 13 hours

TIME REMAINING
54:56
Bob and Carl each rented the same kind of moving truck from EZ Move. There was a flat rental fee plus a charge per mile that the truck was driven. Bob’s cost for his truck was $112.96 for 138 miles. Carl’s cost for his truck was $142.78 for 209 miles. Which equation can be used to represent the cost of the rental truck?

Round to the nearest hundredth if necessary.
y = 71 x minus 29.82
y = 25 x minus 66
y = 0.42 x + 71
y = 0.42 x + 55

Answers

Answer:

[tex]y = 0.42x+55[/tex]

Step-by-step explanation:

Given

Let:

[tex]x \to miles[/tex]

[tex]y \to amount[/tex]

[tex](x_1,y_1) = (138,112.96)[/tex] ---- Bobs'

[tex](x_2,y_2) = (209,142.78)[/tex] --- Carl

Required

The equation

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{142.78 - 112.96}{209 - 138}[/tex]

[tex]m = \frac{29.82}{71}[/tex]

[tex]m = 0.42[/tex]

The equation is calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 0.42(x - 138) + 112.96[/tex]

[tex]y = 0.42x - 57.96 + 112.96[/tex]

[tex]y = 0.42x+55[/tex]

2097152 in exponential form​

Answers

Answer:

do you mean scientific notation ?

2.097152 x [tex]10^{6}[/tex]

Step-by-step explanation:

June has a bakery. Her rent is $750 a month. Over a month, she sells 50 cakes, 120 cupcakes and 250 dozen cookies. This costs her
$2.000. Her sales total $2,600. What is her total cost?


$1,500
$150
$2,600
$2,000
$2,750

Answers

Answer:

$2,750

Step-by-step explanation:

Total spending = Rent + Cost

= $750 + $2000

= $2750

please help me...........​

Answers

Mean: 7.285714..
I will help u if I know in cmt

Graph the line with y-intercept-2 and slope -3/5 .

Answers

Answer:

MATH

Dior H. asked • 01/13/21

graph the line with the slope 1/2 and y-intercept -2

i need help badly i am crying because its hard

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1 Expert Answer

By:

Raymond B. answered • 01/14/21

TUTOR 5 (1)

Math, microeconomics or criminal justice

ABOUT THIS TUTOR ›

y=mx + b is the standard slope intercept form for a line

m=1/2, b =-2

y=(1/2)x -2. y-intercept is -2 or the point (0,-2)

x intercept is found by setting y=0 and solving for x

0=(1/2)x - 2

(1/2)x = 2

x = 4 = the x intercept or (4,0)

plot the 2 intercepts (0,-2) and (4,0)

(4,0) is on the x axis, 4 units to the right of the origin (0,0)

(0,-2) is on the y axis, 2 units below the origin

once you plot those two points, draw a straight line connecting them. That's the graph of the line

what is the value of 3 3/8+1/2 ÷ 4/5 × 2​

Answers

Answer:

ans: 37/ 32

Step-by-step explanation:

(33/8 + 1/2 ) / ( 4/5 ×2)

= { ( 33 + 4) / 8} / ( 8 / 2)

= 37/ (4×8)

= 37 / 32

Which best describes the range of the function f(x) = 2(3)x?

Answers

Answer. y > 0 best describes the range of the function f(x) = 2(3)x.

Answer:

y > 0.

Step-by-step explanation:

A.

Help please!!!!! I don't really get this, help asap.

Answers

1 box = 6 granola bars
42/6 = 7 boxes

Answer:

7 boxes

Step-by-step explanation:

We can use ratios to solve

12 bars            42 bars

----------    = ---------------

2 boxes      x boxes

Using cross products

12x = 2 *42

12x = 84

Divide by 12

12x/12 = 84/12

x = 7

I need help please no links or I will have you reported

Answers

Answer:ʜᴛᴛᴘꜱ://ᴡᴡᴡ.ʏᴏᴜᴛᴜʙᴇ.ᴄᴏᴍ/ᴡᴀᴛᴄʜ?ᴠ=ᴅQᴡ4ᴡ9ᴡɢxᴄQ

Step-by-step explanation:

Heres the answer but its on a another page.

Im joking

here's the answer

the first one is 878 i think that what your looking for at the top

Please help me with math problems!
20 points for all questions plz

Answers

Answer:

Step-by-step explanation:

[tex]Circumference = 2 \pi r[/tex]

1) r = 11 feet

 Circumference = 69.1 ft

2) r = 7yd

  Circumference = 43.98 = 44 yd

3) r = 6.3 m

   Circumference = 39.6

4) r = 11.8 ft

    Circumference = 74. 1 ft

5) r = 2 km

  Circumference = 12.6 km

6) r = 9 mi

 Circumference = 56.6 mi

7) r = 6 ft

 Circumference = 37. 7ft

8) r = 8. 4 ft

   Circumference = 52.8 ft

[tex]Circumference = 2 \pi r = \pi \times 2r = \pi \times d \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ diameter, d = 2r \ ][/tex]

11) d = 4m

  Circumference = 12.6 m

12) d = 22 mi

    Circumference = 69.1 mi

13) d = 5m

    Circumference = 15.7 m

14) d = 8yd

   Circumference = 25.1 yd

15) d = 16.8 m

  Circumference = 52.8 m

16) d = 6cm

  Circumference = 18.9 cm

17) d = 14 in

   Circumference = 43.98 = 44 in

18) d = 16km

 Circumference = 50. 3 km

Answer:

1) 69.1

2) 44

3) 39.6

4) 74.1

5) 12.6

6) 56.5

7) 37.7

8) 52.8

11) 12.6

12) 69.1

13) 15.7

14) 25.1

15) 52.8

16) 18.8

17) 44

18) 50.3

This was a lot but I'm pretty sure all are right

Which of the following represents the graph of f(x) = 4X – 2?

Answers

Answer:

The bottom one.

Step-by-step explanation:

please help with this question

Answers

Answer:

The answer to your question is given below.

Step-by-step explanation:

From the question given above, the following data were obtained:

x + 2 ≥ 2

x + 4 ≤ 3

The solutions to the equation can be obtained as follow:

x + 2 ≥ 2

Collect like terms

x ≥ 2 – 2

x ≥ 0

0 ≤ x

x + 4 ≤ 3

Collect like terms

x ≤ 3 – 4

x ≤ –1

Combining both answers, we have

0 ≤ x ≤ –1

Expressing the solution in internal notation, we have:

0 ≤ x ≤ –1

[0, –1]

Will Mark Brainlest. (find the domain of following relation for the given range) step by step ​

Answers

Step-by-step explanation:

I suppose you mean find the range for the following domain. Because when

g(x) is given the value of X

we are trying to solve the output value which is range.

If you want to solve for the domain, the question should give

g(x) = y

and provide the value of y.

X³+X²-X-2

Substitute

X=(-1)

-1+1-(-1)-2

= -1

g(-1)= -1

Substitute

X=(2)

8+4-2-2

=8

g(2)= 8

Substitute

X=(1)

1+1-1-2

=-1

g(1)= -1

g(2)+g(1)

=8-1

=7

rrect answer.
Which of the following represents a function?
OA
{(-1,-11), (0,-7), (1,-3), (-1,5), (2,0)}
OB.
4
-1
6
0
У
4
.
X
-4
1
-2

Answers

The graph C shows a function

The other options all have an x-value that has two y-values.
Functions need unique mappings from every point in the domain.

if 6 is added to three quarters number of a certain number the result is 42 find the original number​

Answers

Answer:

48

Step-by-step explanation:

6 + x×3/4 = 42

24 + 3x = 168

3x = 144

x = 48

Experience shows that few students hand in their statistics exams early; most prefer to hand them in near the end of the test period. This means the time taken by students to write exams is positively skewed.

a. True
b. False

Answers

Answer:

False

Step-by-step explanation:   6 28 13  50

skewing to the right of a sysmetrical distribution is a negative skew

Potential customers arrive at a full-service, one-pump gas station at a Poisson rate of20 cars per hour. However, customers will only enter the station for gas if there are no more than two cars (including the one currently being attended to) at the pump. Suppose that the amount of time required to service a car is exponentially distributed with a mean of five minutes.

Required:
a. What fraction of the attendant’s time will be spent servicing cars?
b. What fraction of potential customers are lost?

Answers

Answer:

a) 19/20

b) 1/20

Step-by-step explanation:

a) calculate the fraction of the attendants time will be spent servicing cars

l / L > 0 =  Ц / [ Ц -  λ ] = 20 --- ( 1 )

Ц (service )  = 15 hour

∴ λ ( arrival rate )  = 14.25

P = λ / Ц  = 14.25 / 15 = 0.95 = 19/20

b) Fraction of potential customers lost

Ls = P / ( 1 - P )

where ; P = 19/20

Ls ( fraction of potential customers lost ) = 19/20 / ( 1 - 19/20 )  = 19

hence proportion of customers lost = 1 - 19/20 = 0.05 = 1/20


There are 49 non-fiction books on my shelf. The remaining 75% of
books are novels. How many books are on my shelf?​

Answers

Step-by-step explanation:

the answer is in the above image

Trthhhhjvbbjjjjj
Ghhhhhjjjbn

Answers

Answer:

????????????????????????????????

What is the reflection across y=x and y=-x. Just the general definition of what it means.

Answers

Answer: When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x).

Reflection in the y -axis:

The rule for a reflection over the y -axis is (x,y)→(−x,y) .

Reflecting over any other line. Notice how each point of the original figure and its image are the same distance away from the line of reflection (x = –2 in this example).

It is simple enough to identify whether or not a given function f(x) is a linear transformation. Just look at each term of each component of f(x). If each of these terms is a number times one of the components of x, then f is a linear transformation. are linear transformations.

First shift three units to the left, so the line of reflection becomes the y axis, then flip, and finally remember to shift three units back to the right to put the center line back where it belongs. (This gives the f(6−x) solution you already know).

More information for you..

https://youtu.be/TPU5IyCUGuA

https://youtu.be/JHQtA6R7fYc

https://youtu.be/LR6f23gY3qk

[tex]\color{yellow}{}[/tex]

The slope f '(x) at each point (x, y) on a curve. y = f (x) is given along with a particular point (a, b) on the curve. Use this information to find f (x).

[CLO-3] f '(x) = 9 x 2 + 4 x - 4; (0, -7)

Answers

Answer:

Step-by-step explanation:

Integrating each term with respect to x, we get:

            x^3          x^2

f(x) = 9--------- + 4------- - 4x + C

               3            2

We are told that if x = 0, f(x) = -7, and so C must equal - 7.  

The solution is

            x^3          x^2

f(x) = 9--------- + 4------- - 4x - 7,   or   f(x) = 3x^3 + 2x^2 - 4x - 7

               3            2

On a coordinate plane, Rectangles A B C D and E F G H are shown. The length of side A B is 6 units and the length of side B C is 3 units. The length of side E F is 8 units and the length of side F G is 4 units.
Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?

Yes, because corresponding sides are parallel and have lengths in the ratio Four-thirds
Yes, because both figures are rectangles and all rectangles are similar.
No, because the center of dilation is not at (0, 0).
No, because corresponding sides have different slopes.

Answers

Answer:

im doing the same one, i believe it is D

Step-by-step explanation:

Answer:

a- yes because corresponding sides are parallel and have lengths in the ration 4/3

Step-by-step explanation:

just did the test

I do not know this and I need help fast this is a timed test

Answers

I think the first one is correct

Find the missing segment in the image below

Answers

the missing segment is 25
The missing segment is 25

In a math class, 9 pupils receive a grade of 90. If 18% of the class got 90, how many pupils are there in a class?

Answers

Answer:

Let the total number of pupil be x.

Given that,

Number of pupils that received a grade of 90=9

Percentage of pupil that receive a grade of 90=18%

So,

18% of x=9

18x/100=9

x=50

Hence, there are 50 pupils in the class.

heyyy I need this done in 30 min please someone helppp

Answers

Answer:

1979

91%

Step-by-step explanation:

Given the relation :

P = (318t + 6792) / (1.19t + 107.36)

P = % of household with PC

t = years since 2000

1.) We need to find t, when P = 85%

P = 0.85

0.85 = (318t + 6792) / (1.19t + 107.36)

0.85(1.19t + 107.36) = (318t + 6792)

1.0115t + 91.256 = 318t + 6792

Collect like terms :

1.0115t - 318t = 6792 - 91.256

−316.9885t = 6700.744

t = 6700.744 / - 316.9885

t = - 21.138760

t = - 21 years

2000 - 21 years = 1979

Percentage who had computer in 2014

t = 2014 - 2000 = 14

P = (318(14) + 6792) / (1.19(14)+ 107.36)

P = (4452 + 6792) / (16.66 + 107.36)

P = 11244 / 124.02

P = 90.6627

P = approximately 91%

The right prism shown has a surface area of 414 in.² what is the value of X in inches

Answers

Answer:

4 in

Step-by-step explanation:

area right : Ar = 5x

area left : Al = 11x

area top : At = 5x

area bottom : Ab = 13x

area front : Afr = rectangle 13×11 minus area triangle

triangle (right-angled) : (11-5)×(13-5)/2 = 24 in²

Afr = 13×11 - 24 = 119 in²

area back = area front = 119 in²

sloped area : As = 10x

all individual shapes in the surface of the object are rectangles except the 2 areas in the front and in the back, where we had to calculate the complete rectangle and then subtract the cut off triangle area.

so, in total we have

414 = 5x+11x+5x+13x+119+119+10x = 44x + 238

176 = 44x

x = 4 in

Consider the difference below.
x-3/x^2-x-5 - 5/8x
Place the steps require to simplify the given difference of two expressions into one, simplified rational expression in the correct order.

Answers

Answer: x-3/(x-3)(x+2) - 5/8x ➡️ 1/x+2 - 5/8x ➡️ 8x-5(x+2)/(x+2)(8x) ➡️ 3x-10/8x^2+16x

Just did this the other day...

The steps to simplify the expression (x - 3) / (x² - x - 5) - (5 / 8x) are,

Find the common denominator: LCM of (x² - x - 5) and 8x is 8x(x² - x - 5).

Rewrite the first fraction with the common denominator: [(x - 3)× 8x] / [8x(x² - x - 5)] - (5 / 8x).

Combine the fractions: [(8x² - 24x) - 5(x² - x - 5)] / [8x(x² - x - 5)].

Factor the denominator: 8x(x² - x - 5).

Simplify the expression: (8x² - 5x²) + (-24x + 5x) + 25 / [8x(x² - x - 5)].

Further simplify the numerator: 3x² - 19x + 25.

Final result: (3x² - 19x + 25) / [8x(x² - x - 5)].

To simplify the given difference of two expressions into one, simplified rational expression, follow these steps in the correct order:

Find a common denominator for the two fractions.

The common denominator for the fractions is the least common multiple (LCM) of the individual denominators, which are (x² - x - 5) and 8x. The LCM is 8x(x² - x - 5).

Rewrite the first fraction with the common denominator.

(x - 3) / (x² - x - 5) - (5 / 8x) = [(x - 3) × 8x] / [8x(x² - x - 5)] - (5 / 8x)

Combine the fractions by subtracting them.

= [(8x² - 24x) - 5(x² - x - 5)] / [8x(x² - x - 5)]

Factor the denominator of the resulting expression (if possible).

The denominator 8x(x² - x - 5) is already factored.

Simplify the expression, if possible.

= [8x² - 24x - 5x² + 5x + 25] / [8x(x² - x - 5)]

Combine like terms in the numerator.

= (8x² - 5x²) + (-24x + 5x) + 25 / [8x(x² - x - 5)]

Simplify the numerator further.

= 3x² - 19x + 25 / [8x(x² - x - 5)]

Therefore , the final simplified rational expression is equal to (3x² - 19x + 25) / [8x(x² - x - 5)].

learn more about expression here

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