Data from a 2006 GSS subsample show that the mean number of children per respondent was 1.87, with a standard deviation of 1.64. A total of 1,494 people answered this question. Estimate the population mean number of children per adult using a 90% confidence interval. We our 90% confident that the population mean number of children per adult is between to . Please round to the nearest tenth For example, rounding 0.843 to the nearest tenth would give 0.8.

Answers

Answer 1

Answer:

We are 90% confident that the population mean number of children per adult is between 1.8 to 1.9.

Step-by-step explanation:

The confidence interval for population mean is given by:-

[tex]\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}[/tex], where n= sample size, [tex]\overline{x}[/tex] = sample mean, z* = critical value for confidence level, [tex]\sigma[/tex]= standard deviation.

z*  for 90% confidence level = 1.645

As per given, the required confidence interval is

[tex]1.87\pm (1.645)\dfrac{1.64}{\sqrt{1494}}\\\\\approx1.87\pm0.070\\\\=(1.87-0.07,\ 1.87+0.07)\\\\=(1.8, 1.94)[/tex]

Hence, We are 90% confident that the population mean number of children per adult is between 1.8 to 1.9.


Related Questions

solve (x – 5)^2 = 17

Answers

Answer:

x = 5 ± √17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsMultiple Roots

Step-by-step explanation:

Step 1: Define

(x - 5)² = 17

Step 2: Solve for x

[Equality Property] Square root both sides:                                                    x - 5 = ±√17[Addition Property of Equality] Add 5 on both sides:                                    x = 5 ± √17

pls help me with all of them ill give 81 points

Answers

Answer:

1. No

2. Yes

3. [tex]\sqrt{80}[/tex]

4. x=8

Step-by-step explanation:

1.

6^2+8^2

=36+64=100

9^2=81

100≠81

No

2.

5^2+12^2

=25+144

=169

13^2=169

169=169

Yes

3.

x^2=4^2+8^2

x^2=16+64

x^2=80

x=[tex]\sqrt{80}[/tex]

4.

x^2+6^2=10^2

x^2+36=100

x^2=64

x=[tex]\sqrt{64}[/tex]=8

Hue is arranging chairs. She can form 6 rows of a given length with 1 chair left over, or 9 rows of that same length if she gets 11 more chairs. Complete the equation and solve it to find how many chairs are in that row length. In your equation, use the variable x to represent the number of chairs in each row.

Answers

Answer:

There are 7 chairs in each row length.

Step-by-step explanation:

Let number of chairs in 1 row be 'x'.

Let total number of chairs be 'y'.

Given:

Hue can form 6 rows of a given length with 3 chairs left over.

It means that Total number of chairs is equal to chairs in 1 rows multiplied by number of rows which is 6 plus number of chairs which is left which is 3.

Framing in equation form we get.

Also Given:

Hue can form 8 rows of that same length if she gets 11 more chairs.

It means that Total number of chairs is equal to chairs in 1 rows multiplied by number of rows which is 8 minus number of chairs which is required more which is 11.

Framing in equation form we get.

From equation 1 and equation 2 we can say that L.H.S is same.

So according to law of transitivity we get;

Combining like terms we get;

Using Subtraction and Addition property we get;

Now Using Division Property we will divide both side by 2.

Hence there are 7 chairs in each row length.

Select all names that apply to this figure

Answers

Answer:

Quadrilateral and Parallelogram. There is not enough information given to determine the rest of the shapes.

$
1. Una esfera de latón de 3 pies
cúbicos a 22°C se expuso al calor hasta alcanzar una temperatura de
66°C. ¿Cuál será su nuevo volumen'si el coeficiente de dilatación lineal del latón es de 18x1095​

Answers

Answer:

Tell in english plss

Step-by-step explanation:

i dont understangd okk

Rosa is making a poster that has a rainbow as part of the design. Using a compass she draws a semicircle with a radius of 18 cm. She draws another semicircle that has a radius of 12 cm as shown. What is the area of the shaded part of the rainbow?

Answers

Answer:

282.7 cm²

Step-by-step explanation:

Hello There!

To find the area of the shaded area we are going to want to find the area of the whole semi circle and subtract it by the area of the smaller semi circle

To find the area of a semicircle we use this formula

[tex]A=\frac{\pi r^2}{2}[/tex]

where r = radius

For the large semi circle

The radius of the larger semi circle is 18 cm so we plug in 18 into r in the formula

So..

[tex]A=\frac{\pi 18^2}{2} \\18^2=324\\324\pi =1017.87602\\\frac{1017.87602}{2} =508.9380099[/tex]

So the area of the whole semi circle is 508.9380099 cm²

Now to find the area of the smaller semi circle

The radius for the smaller semi circle is 12 cm so we plug in 12 into r in the formula

[tex]A=\frac{12^2\pi }{2} \\12^2=144\\144\pi =452.3893421\\\frac{452.3893421}{2} =226.1946711[/tex]

so the area of the smaller semi circle is 226.1946711cm²

Finally we want to subtract the area of the smaller semi circle from the area of the whole semi circle

508.9380099 - 226.1946711 = 282.7433388

Finally we want to round to the nearest tenth and we get that the area of the rainbow is 282.7 cm²

Zrób rysunek pomocniczy i oblicz miary kątów w sześciu trójkątach, które otrzymasz wykreślając dwusieczne kątów trójkąta. Kąt ABC wynosi 620 , kąt ACB wynosi 1020 .

Answers

Answer:

Zrób rysunek pomocniczy i oblicz miary kątów w sześciu trójkątach, które otrzymasz wykreślając dwusieczne kątów trójkąta. Kąt ABC wynosi 620 , kąt ACB wynosi 1020 .

Step-by-step explanation:

Christopher sold his dinette set for $245 through an online site, which charged him 9% of the selling price as commission. what is the commission?

Answers

Answer:

$22.05

Step-by-step explanation:

If a product has a sales commission, then one must divide the commission percent by (100) to convert the percent to a decimal. Then multiply the result by the price of the product to find the amount of money that will be given as a commission.

Applying this knowledge to the given problem, one must divide (9%) by (100) to convert to decimal form,

9% / 100 = 0.09

Now multiply the result by the price of the product (245) to find the amount given away in commission,

0.09 * 245 = 22.05

Work out the surface area of this solid prism.


The diagram is not drawn to scale.​

Answers

i can’t see the solid prism

Liz has two pieces of string; one 18cm long, the other 24cm long. She wants to cut them
up to make pieces of string that are all the same length with no string left over. What is the
greatest length she can make the pieces of string?

Answers

Answer:

6cm

Step-by-step explanation:

length of the longest string=24

length of the shortest string=18.

for both string to have the same length,

24-x=18

x=24-18

=6cm

HELP PLS

find the value of x

Answers

Answer:

x = 5

Step-by-step explanation:

These angles are supplementary so:

9x + 12x + 75 = 180

21x + 75 = 180

21x = 180 - 75

21x = 105

x = 5

What is the range of the set of data points given below? 175 159 180 172 163 166 170 162 175 157 178 160​

Answers

Answer:

Range = highest observation - lowest observation

180-157 = 23

Answer:

Hi! The answer to your question is 23

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

help me...................

Answers

4 because when rounded to the nearest tenths it will not increase the number as it is below 5

Answer:

A. 4

Step-by-step explanation:

The answer to this question is option A. which is 4. This is because for every value of 5 or above, we round up to the next digit. For option B and C, those values are either 5 or above. This means that choosing those values would give a new value of 74.16, not 74.15 as the answer is showing.

PLEASE HELP! IM GIVING BRAINLIEST!

Answers

Answer:

1/2 x 1/2= 2/4

Step-by-step explanation:

Answer:

Nicoles pattern is correct

Ians pattern is 0,1,3,7,15,

Coordinate pairs

1,0

5,1

17,3

53,7

161,15

Step-by-step explanation:

Pencil and paper

Solve 96 = 2w^2, where w is a real number. Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas. If there is no solution, click on No solution.

Answers

Answer:

Step-by-step explanation:

96 = 2w²

48 = w²

√48 = w

√(16)(3) = w

± 4√3  = w

± 6.93

w = 6.93, -6.93

Which of the given values is a solution to the equation −8d+2=−40d+2?

Answers

Answer: d=0

Step-by-step explanation:

-8d+2=-40d+2

Add 40d to both sides

32d+2=2

Then isolate the 32d by subtracting 2 from the right side.

32d=0

Divide both sides by 32 and get

d=0

Jake paid $28.00 for admission to the county fair and bought 12 tickets to play games. If he spent a total of $64, what is the cost, x, of one ticket? Write and Solve an Equation.

Answers

Answer:

64 - 28 = 36

36 divided by 12 = 3

one ticket is 3 $

You are testing the claim that the mean GPA of night students is different from the mea GPA of day students. You sample 20 night students, and the sample mean GPA is 2.84 with a standard mean GPA is 2.55 with a standard deviation of 0.45. Test the claim using a 1% level of significance. Assume the population standard deviations are unequal and that GPAs are normally distributed. Give answer to at least 4 decimal places. What are the correct hypotheses

Answers

Answer:

As the calculated value of z does not lie in the critical region the null hypothesis is accepted that the GPA mean of the night students is the same as the GPA mean of the day students.

Step-by-step explanation:

Here n= 20

Sample mean GPA = x`= 2.84

Standard mean GPA = u= 2.55

Standard deviation = s=  0.45.

Level of Significance.= ∝ = 0.01

The hypothesis are formulated as

H0: u1=u2   i.e the GPA of night students is same as the mean GPA of day students

against the claim

Ha: u1≠u2

i.e the GPA of night students is different from the mea GPA of day students

For two tailed test  the critical value is  z ≥ z∝/2= ± 2.58

The test statistic

Z= x`-u/s/√n

z= 2.84-2.55/0.45/√20

z= 0.1441

As the calculated value of z does not lie in the critical region the null hypothesis is accepted that the GPA mean of the night students is the same as the GPA mean of the day students.

What is the area of this figure?

Answers

Answer:

m

Step-by-step explanation:

A figure is shown.
8x
7x
44.4°
What is the measure, in degrees, of the highlighted angle?

Answers

We know that the sum of a straight line is 180° . So here there are 3 angles in a straight line . And the sum is 180° . So that ,

[tex]\tt\to Sum_{(angles \ of \ a \ straight \ line)}= 180^o \\\\\tt \to 7x + 8x + 44.4^o = 180^o \\\\\tt\to 15x = 180^o - 44.4^o \\\\\tt\to 15x = 135.6^o \\\\\tt\to x =\dfrac{135.6^o}{15}\\\\\tt\to \boxed{\orange{\tt x = 9.04^{\circ} \approx 9^{\circ} }}[/tex]

So the measure of angle that is highlighted will be 8x = 8(9) = 72°

Answer:

72.32degrees

x is 9.04

Step-by-step explanation:

7×9.04=63.28

8×9.04=72.32

44.4+63.28+72.32=180

Gina earns an hourly rate of $8.94 for a 40-hour week. She receives
double-time (2 times the hourly rate) for any weekend work. This week
she worked his regular 40 hours plus 10 hours on Saturday. Calculate her
gross pay.

Answers

Answer: $536.40

Step-by-step explanation:

8.94 * 2 = 17.88

8.94(40) + 17.88(10)

357.60 + 178.80 = $536.40

NEED HELP FAST‼️ WILL MARK B‼️‼️‼️


Triangle ABC has the following coordinates. A(6,-6), B(3,-3) and C(6,-3). What are the
coordinates of triangle A'B'C' if it is dilated with a scale factor of 4 with the origin as the center of
dilation?

Answers

Answer:

4×6=24,4×-6=-24,4×3=12,4×-3=-12,4×

6=24,4×-3=-12

A social studies quiz has 4 true-or-false questions. The following list shows the possibilities for a student's responses to these questions. TTTT, TTTF, TTFT, TTFF, TFTT, TFTF, TFFT, TFFF, FTTT, FTTF, FTFT, FTFF, FFTT, FFTF, FFFT, FFFF How many outcomes include 2 true and 2 false answers?

Answers

Answer:

The answer is there are six outcomes

Step-by-step explanation:

TTFF, TFTF, TFFT, FTTF, FTFT,

FFTT

The probability of getting outcomes including 2 true and 2 false answers is 3/8.

The given sample space is {TTTT, TTTF, TTFT, TTFF, TFTT, TFTF, TFFT, TFFF, FTTT, FTTF, FTFT, FTFF, FFTT, FFTF, FFFT, FFFF}

We need to find how many outcomes include 2 true and 2 false answers.

What is the formula to find the probability of an event?

The formula to find the probability of an event is P(E)=Number of favourable outcomes/Total number of outcomes.

Now, the number of favourable outcomes=6 and = the total number of outcomes=16.

So, P(E)=6/16=3/8

Therefore, the probability of getting outcomes including 2 true and 2 false answers is 3/8.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ2

What shape is the cross-section?
a. Triangle
b. Circle
c. Ellipse
d. Hexagon
e. Square
f. Rectangle
g. Pentagon

Answers

Answer:

triangle

A cross section is the shape we get when cutting straight through an object. The cross section of this object is a triangle. It is like a view into the inside of something made by cutting through it.

Step-by-step explanation:

❤️

a publisher for a promising new novel figures fixed costs overhead, advances, promotion, copy editing, type setting and so on at $57,000 and variable costs printing, paper, binding, shipping at $2.90 for each book produced. If the book is sold to distributors for $10 each, how many must be sold to break even?​

Answers

Answer:

$2.90 for each book produced. If the book is sold to distributors for $10 each, how many must be sold to break even?

Step-by-step explanation:

. citizen of the represented state

Find the axis of symmetry and the vertex for the following quadratic equation.
y=x^2-8x + 15

Answers

Answer:

pill

Step-by-step explanation:

please please help i will mark u brill
please fast i need it right know !!!!!

Answers

Answer:

yes

Step-by-step explanation:

8d+54=150

8*12+54

96+54

150

Solve the one step equation: -5a = -50

Answers

Answer:

a = 10

Step-by-step explanation:

a = 10

Divide -5 on both sides

Answer:

a=10

Step-by-step explanation:

divide -50 by -5 and you get 10. therefore, a=10.

Rewrite each fraction with a denominator of 24.

3/8 and 7/6

Answers

Answer:

3/8=9/24

7/6=28/24

Step-by-step explanation:

[tex]\frac{3}{8}\cdot \frac{3}{3}=\frac{9}{24}[/tex]

[tex]\frac{7}{6}\cdot \frac{4}{4}=\frac{28}{24}[/tex]

martin is saving to buy a bike that cost $420. so far he saved $140. how much must he save each week in order to buy in 16 weeks.

Answers

Answer:

the answer is 26

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