A random sample of 20 married women showed that the mean time spent on housework by them was 29.8 hours a week with a standard deviation of 6.7 hours. If the margin of error is 3.14, find a 95% confidence interval for the mean time spent on housework per week by all married women.

Answers

Answer 1

Answer:

95% confidence interval for the mean time spent on housework per week by all married women.

( 26.66 , 32.94)

Step-by-step explanation:

Step(i):-  

Given random sample size 'n' = 20

Mean of the sample (x⁻ ) = 29.8 hours

Standard deviation of the sample (S) = 6.7

Given Margin of error = 3.14

Step(ii):-

95% confidence interval for the mean is determined by

[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} +t_{0.05} \frac{S}{\sqrt{n} })[/tex]

We know  that margin of error is determined by

[tex]M.E = \frac{t_{0.05}XS.D }{\sqrt{n} } = 3.14[/tex]

Now 95% confidence interval for the mean time spent on housework per week by all married women.

[tex](29.8 - 3.14 , 29.8+3.14)[/tex]

( 26.66 , 32.94)


Related Questions

what is 25% more than 6 feet

Answers

Answer:

7.5 I guess?

Step-by-step explanation:

??

Step-by-step explanation:

l dont understand this can you explain

algebra/algebra 2
The metric unit of force is the Newton (N) , which is kg⋅m/s2 .

Convert 10 kg⋅cm/s2 to Newtons.


1×10−1 N

1×10−2 N

1×10−5 N

1×10−6 N

Answers

Answer:

B

Step-by-step explanation:

If it’s right can you mark me brainliest ty

The conversion of 10 kg⋅cm/s2 in Newton is 1×10−1 N so option (A) will be correct.

What is unit conversion?

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.

Another example could be kilo gram to gram.

Given the metric unit of force,

10 kg⋅cm/s²

Since,

1 meter = 100 cm ⇒ 1 centimeter  = 0.01meter

So,

10 kg⋅cm/s² = 10 kg (0.01)m/s²

10 kg⋅cm/s² = 10 × 0.01  kg m/s²

10 kg⋅cm/s² = 1×10−1  kg m/s²

Since,

kg m/s² = Newton (N)

So,

10 kg⋅cm/s² = 1×10−1 N

Hence "The conversion of 10 kg⋅cm/s2 in Newton is 1×10−1 N ".

To learn more about unit conversion,

brainly.com/question/11543684

#SPJ6

What is the least amount of additional money Sofia can spend to get the sushi they need?

Answers

Answer:

$

Step-by-step explanation:

find the slope of each line
5. y= -2x+5. 6. 3x+6y=12​

Answers

Answer:

5. Slope = -2x

(Full system: y = -2x + 5)

6. Slope = -1/2x

(Full system: y = -1/2 +6)

13) How do you know when to use the mean or median as the best measure of center?​

Answers

Answer:

The mean is the most common measure of center. It is what most people think of when they hear the word "average". However, the mean is affected by extreme values so it may not be the best measure of center to use in a skewed distribution. The median is the value in the center of the data.

Step-by-step explanation:

hope this helps

y+1= 6/11(x+4) convert to standard form please WILL GIVE BRAINLIEST

Answers

your answer is:

6x - 11y = -13

~☆

Circle D is shown. Line segment G D is a radius, D F is a radius, and D E is a radius. Angle G D F is 126 degrees, and angle F D E is 41 degrees. Point C is on the circle within angle G D F and point H is on the circle within angle G D E. Which statements are correct? Check all that apply.

Answers

Answer:

2,3,4 are correett

Step-by-step explanation:

1,5,6 are wroongg

Answer: 2 3 4 are your answers

Find the value of x​

Answers

Answer: x= 108

Step-by-step explanation: The triangle is an isosceles triangle, so the two sides are parallel which means the other angle equals to 72 as well. Now we take the triangle rule and do 180-72-72= 36 (the top angle= 36). The triangles are all equal so that means the other angle (in the upside down one) also equals 72 so we take 36+72= 108. Since it is also a parallelogram, the angles are equal.

Please help me with this .

Answers

Answer:

x=4

Step-by-step explanation:

It's a parallel line so the equation is

100+19x+4=180

19x=180-100-4

19x=76

x=76/19

x=4

Answer: x = 4

Step-by-step explanation: The 2 angles are same-side interior angles, which are supplementary, and supplementary angles add up to 180, so we know that 19x + 4 = 80.

- 4. -4

19x = 76

/19. /19

X = 4

What is the slope of 7,-2 and -3,3

Answers

Answer:

-1/2

Step-by-step explanation:

y2-y1/x2-x1

3-(-2)/ -3-7

5/-10

= -1/2

what is the lowest term of 27/45

Answers

Answer:

3/5

Step-by-step explanation:

[tex] \frac{27}{45} = \frac{27 \div 9}{45 \div 9} = \frac{3}{5} \\ [/tex]

What is the value of x?
Enter your answer in the box

Answers

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

I need help!! ASAP!!

Answers

Answer:your answer is c

Step-by-step explanation:if you want to be friends we can just friend me

Can someone please help!!

Answers

Answer:

Step-by-step explanation:

the last one

ten subtracted from a number if the difference is 30 what was the orginal number​

Answers

X-10=30

X=30+10

X= 40

So the original number was 40 and you can prove it by subtracting 10 so 40-10= 30

I NEEP HELP ASAP PLEASE AND THANK YOU

Answers

Answer:

The first answer, 3 times the square root of x squared is correct.

Which is the value of the expression when x=-2 and y =-3

Answers

Answer:

-720

Step-by-step explanation:

10x^3y^2    If x = -2 and y = -3

10 * (-2^3) * (-3^2)

10 * (-8) * (9) = -720

Answer:

A.) -720

Step-by-step explanation:

10x^3y^2

10 times x^3 times y^2

x = -2

y = -3

10 times (-2)^3 times (-3)^2

-2^3 = -2 x -2 x -2 = -8

-3^2 = -3 x -3 = 9

-8 x 9 = -72

10 x -72 = -720

If f(x) = 1/2x^2 - (1/4x +3), what is the value of
f(8)?

Answers

Answer:

27

Step-by-step explanation:

If  [tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex],  then the value of  [tex]f(8)[/tex] is  [tex]f(8) = \frac{-93}{4480}[/tex].

What is Quadratic Equation?

A quadratic equation is an algebraic equation in the variable of the second degree. The quadratic equation is in the form of [tex]ax^{2} + bx + c = 0[/tex], where [tex]a,b,c[/tex]  are the real numbers.

We have

[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

According to Quadratic Equation,

[tex]f(x)=ax^{2} +bx+c[/tex]

And we have,

[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

So,

[tex]f(8) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

i.e. putting [tex]x=8[/tex],

[tex]f(8) = \frac{1}{2(8)^2} - \frac{1}{4*8 +3}[/tex]

[tex]f(8) = \frac{1}{128} - \frac{1}{35}[/tex]

Solving the above part,

[tex]f(8) = \frac{ 35-128 }{ 128*35 }[/tex]

[tex]f(8) = \frac{-93}{4480}[/tex]

Hence, we can say that value of  [tex]f(8) = \frac{-93}{4480}[/tex] .

To know more about Quadratic Equation click here

https://brainly.com/question/2263981

#SPJ2

In AGHI, ZG ZI, IG = 19 and HI = 14. Find the length of GH.
H
14)
19

Answers

Answer:

yui no kami usika mi 4x5

Step-by-step explanation:

Please I needddd helppp is it correct or do I need to change something

Answers

Your correct they are in the right spots

which expression is equal to -3(4x - 2) - 2x?

Answers

Answer:

-14x + 6

Step-by-step explanation:

-12x + 6 - 2x

-14x + 6

Can someone help me please

Answers

I think this is right

Write a recursive formula for the
sequence
12,27,42,57.....

HELP ME PLEASE I DO ANYTHING I BEEN STUCK FOR 30mins now

Answers

Answer: Adding 15 each time

5) Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8
hours more than Week 1. If Phillip earned $540 for both weeks, how many hours did he work
during Week 2?

Answers

Answer:

2,160 Hours

Step-by-step explanation:

Ok so usual i would split $540 in half so a number multiplied by two would end up as 540, and i got 270. So since each week we know Phillip earned $270 and $11.25 a hour, we can divide 270 by 11.25, which gives us $24, so that means h = 24, but on week 2 it says Phillip worked 8 hours more on week 2, so that gives us a equation of 8 x 11.25, which comes out to 90, so now we can move on to our final equation, 90 x 24, which equals 2160. Im so sorry if this is wrong

Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.

What is unit rate?

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

Given that, Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8 hours more than Week 1. Phillip earned $540 for both weeks,

The unit rate for the work of Phillip is given, $11.25 per hour.

Therefore, his earning for h hours = $11.25h

For (8+h) hours = $11.25(h+8)

Since, he earned $540 for both weeks,

Therefore,

11.25(h+8) + 11.25h = 540

11.25h + 90 + 11.25h = 540

22.5h = 450

h = 20

h+8 = 28

Hence, Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.

Learn more about unit rates, click;

https://brainly.com/question/29781084

#SPJ2

Which equations are correct?

Select each correct answer.




[tex]4c^4(3c^2)=12c^8[/tex]

[tex]3b^3(−2b^4)=−6b^12[/tex]

[tex]5y^4(2y^5)=10y^9[/tex]

[tex]5x^3(6x^4)=30x^7[/tex]

Answers

9514 1404 393

Answer:

  C, D

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

__

The correct equations are the last two.

For the first two, the appropriate products are ...

  [tex]4c^4(3c^2)=4\cdot3c^{4+2}=12c^6\\\\3b^3(a^2b^4)=3a^2b^{3+4}=3a^2b^7[/tex]

5. A train travels two different routes: the North Route and the South Route. • On Monday, the train traveled the North Route 8 times and the South Route 10 times, traveling a total of 410 miles. • On Tuesday, the train traveled the North Route 15 times and the South Route 11 times, traveling a total of 575 miles. How long is each route?

Answers

Answer:

North Route is 20 miles, and South Route is 25 miles.

Step-by-step explanation:

Let the length of the North route be represented by x and that of the South route be represented by y.

On Monday,

8x + 10y = 410

On Tuesday,

15x + 11y = 575

So that,

8x + 10y = 410 .............. 1

15x + 11y = 575 ......... 2

Using substitution method, from equation 1;

x = [tex]\frac{410 - 10y}{8}[/tex] ................. 3

Substitute the expression for x into equation 2,

15([tex]\frac{410 - 10y}{8}[/tex]) + 11y = 575

multiply through by 8,

6150 - 150y + 88y = 4600

6150 - 62y = 4600

6150 - 4600 = 62y

1550 = 62y

divide through by 62 to have,

y = 25

Substitute the value of y in equation 3

x = [tex]\frac{410 - 10y}{8}[/tex]

  = [tex]\frac{410 - 10(25)}{8}[/tex]

  = 20

x = 20

Thus, North Route is 20 miles, and South Route is 25 miles.

At 8:00, the temperature was 15 degrees Celsius (°C). Three hours later, the temperature was -15°C. By how many degrees Celsius did the temperature change?​

Answers

Answer:

30 degrees

Step-by-step explanation:

If you were to draw a number line, 15 and -15 are both 15 units away from 0. So, 15 + 15 =30

Please brainlist!

The coordinates of the turning point of the graph of
y = x
2 − 8x + 25 is (4,9).
Hence describe the single transformation which maps
the graph of y = x

2 onto the graph of

y = x
2 − 8x + 25.

Answers

Answer:

(x + 4), (y + 9)

Step-by-step explanation:

y= x^2 and y = x^2 - 8x + 25 are parabolas which open upwards.

The turning point of y = x^2 is at the origin (0, 0).

So the transformation is 4 units to the right and 9 units upwards:

(x + 4), y+ 9).

Pls help. I need the explanations too.

Answers

Answer:

a- about 3$

b-about 8$

c-about .04

Step-by-step explanation:

a-100.8/35=2.88

2.88 is around 3

b-49.2/6=8.2

8.2 is close to 8

c-.78/20=.039

.039 is the nearest to .04

is this set of ordered pairs of a function?
(1,1) (2,3) (3,4) (4,2) (5,1)

Answers

Yes it is a function
Other Questions
im looking for some one named BOOLIN What do you believe would be the most challenging aspect of moving to a foreign country where you speak a different language, practice an uncommon religion, eat different food, have different clothes, or have little money? Civilizations are organized human communities. Most of the first civilizations, including the one in Mesopotamia, started around a body of water. Mesopotamia actually started near two ________. what does x equal and what are the angle measures?? help Asap PLS HELP I'M STRUGGLING!!!These days, fewer and fewer traditional incandescent lightbulbs are being used in homes. This is because lightbulb technology has improved since incandescent bulbs were developed. Incandescent bulbs work by running electricity through a wire inside the bulb. The wire glows, creating light. However, incandescent bulbs waste a lot of electricity by producing heat rather than light. In the past several years, less wasteful LED lights and compact fluorescent bulbs have become increasingly popular for home use.Which option best evaluates how well the following summary reflects the original passage? Incandescent bulbs are a great form of technology. A. The summary is weak because it does not accurately convey the meaning of the passage. B. The summary is strong because it states the main idea of the passage and the most important supporting detail.C. The summary is strong because it gives a good overview of the passage without getting into minor details. D. The summary is weak because it focuses on a supporting detail rather than the main idea of the passage. During the Enlightenment, many philosophers relied on which of the following when making a decision? a. religion b. reason (rationality) c. emotion d. the monarch Which of the following areas is MOST likely to experience syncretism?I. Farming villages with a single ethnic groupII. Cities with people from different ethnic backgroundsIII. Along the border between two countries with different ethnicitiesIV. Rural areas with homogenous culturea. I and IIb. I and IIIc. II and IIId. II and IVe. III and IV What is a Correlative Conjunction?type your answer and use it in a sentence. what isvequivalent to y=23x6? SMART PPL PLEASE help meeeeeeeeeeeeeee What are some advantages of the nano ceramic coating for cars with explication The "new woman" was a feminist ideal in the Victorian age. This term described women who fought against the rigid conventional roles imposed on women at the time. In what way is this ideal represented in the character of Mina Murray in Dracula? A. She is motherly in her affection to all those she knows. B. She wants to be able to help her husband. C. She is educated and financially independent. D. She needs men to protect her from Count Dracula. E. She doesnt turn into a vampire after being bitten. How "old" do Elie and his Father become when they enter the camps? please help im very behind:( hello can anyone help me ? here the question Portions of the financial statements for Peach Computer are provided below. PEACH COMPUTER Income Statement For the year ended December 31, 2021 Net sales $1,925,000 Expenses: Cost of goods $1,100,000 sold Operating expenses 610,000 Depreciation expense 55,000 Income tax expense 45,000 Total expenses 1,810,000 Net income $ 115,000 PEACH COMPUTER Selected Balance Sheet Data December 31 Increase (I) or Decrease 2021 2020 (D) Cash $107,000 $87,500 $19,500 (I) Accounts receivable 45,500 51,500 6,000 (D) Inventory 80,000 57,500 22,500 (I) Prepaid rent 3,500 6,000 2,500 (D) Accounts payable 50,000 39,500 10,500 (I) Income tax 5,500 12,500 7,000 (D) Required: Prepare the operating activities section of the statement of cash flows for Peach Computer using the indirect method. (List cash outflows and any decrease in cash as negative amounts.) If the interest of sum of money is 6 yrs in 3/8 of the principal . what is the rate of interest? Which of these is the dominant cultural influence in the United States?FrenchAfricanEastern EuropeanWestern European i need five facts regarding the executive branch and state of union A 7.5 N force is applied to a football, generating an initial acceleration of 152m/s . Calculate the mass of the football.