A sample of 2,000 union members was selected, and a survey recorded their opinions regarding a proposed management union contract. A total of 1,600 members were in favor of it. A 95% confidence interval estimated that the population proportion was between 0.78 and 0.82. This indicates that about 80 out of 100 similarly constructed intervals would include the population proportion.

a. True
b. False

Answers

Answer 1

Answer:

a

Step-by-step explanation:

Answer 2

True, the 95% confidence interval suggests that there is a high likelihood (about 80 out of 100 intervals) that the true population proportion of union members in favor of the proposed management union contract falls between 0.78 and 0.82.

The confidence interval estimated for the population proportion of union members in favor of the proposed management union contract was between 0.78 and 0.82, with a confidence level of 95%.

The confidence level represents the probability that the interval contains the true population parameter.

In this case, with a confidence level of 95%, it means that if we were to repeat the survey and construct 100 similar confidence intervals, approximately 95 of those intervals would contain the true population proportion.

Therefore, when it is stated that "about 80 out of 100 similarly constructed intervals would include the population proportion," it means that the estimated confidence interval aligns with the confidence level of 95%, indicating that approximately 80% of those intervals would contain the true population proportion.

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Related Questions

Whats This Questions Answer Answer It Cuz I Have math Exam After 3Days

Answers

Answer:

bde=30 degrees

Step-by-step explanation:

angle abc = 50 degrees

50+100=150

180-150=30degrees

Which equation in slope-intercept form has a graph with an x-intercept at 3 and a y-intercept at -2?

Answers

Answer:

a

Step-by-step explanation:

A is the answer, since when you graph it, you are able to visualize y crossing -2 and x crossing 3.

(b) It takes 37 pounds of seed to completely plant a 4-acre field. How many pounds of seed are needed per acre?​

Answers

Answer:

9.25 lbs

Step-by-step explanation:

37 is the amount for 4 acres or 4a:

37  = 4a

Isolate and find a by dividing both sides by 4:

4a = 37

4a ÷ 4 = [tex]\frac{37}{4}[/tex]

a = [tex]\frac{37}{4}[/tex] or 9.25 lbs

Hope this helps!

Find the value of K given x=4 and y=16?

Answers

Answer:

When y = 20 ,x is −5

Step-by-step explanation:

Brandon enters bike races 8 1/2 miles every 1/2 hour.

Answers

i have no idea what it is

Question 1 (2 points)
What is the common difference d of the sequence?
-15, -4, 7, 18, 29, ...
• 11
•-11
•12
•-12

Answers

The answer is positive 11

The total height of three people is 14 ft. Person A is 1 ft taller than Person B. Person C is 2 feet shorter than Person B. How tall is person A?

A. 6ft
B. 3ft
C. 5ft
D. 4ft​

Answers

Step-by-step explanation:

A+B+C = 14

B+1 +B + B-2 = 14

3B -1 = 14

3B = 14+1

3B =15

B = 5

Therefore, A = 5+1 = 6 ft (option A)

>> Answer

__________

[tex] \: [/tex]

14 = A + B + C

14 = (B + 1) + B + (B - 2)

14 = 3b - 1

14 + 1 = 3b

15 = 3b

b = 15 ÷ 3

b = 5

.

A = B + 1

A = 5 + 1

A = 6 (A.)

The perimeter of a rectangle is 84 cm. If the length is 17 cm, how wide is the rectangle?
A) First write an equation you can use to answer this question. Use w as your variable in the equation

B) Solve your equation in part [A] to find the width of the rectangle.
Answer: The rectangle is
cm wide.

PLS HELP I NEED THIS ASAP

Answers

Answer:

width = 25cm

Step-by-step explanation:

perimeter = 84

length =17

A) 84 = 17(2) + 2w

B) 84 = 34 + 2w

 -34      -34

50=2w

/2     /2

25=w

HELP PLEASE!!
Write a recursive rule for an=1/3•4^n-1

A.) an=1/3•an-1
B.) an=4•1/3an-1
C.) an=1/3•4an-1
D.) an=4•an-1

Answers

Answer:

D.) an = 4 * an-1

Step-by-step explanation:

a(n) = (1/3) * 4^(n-1)

a(n-1) = (1/3) * 4^(n-1-1) = (1/3) * 4^(n-2)

Thus,

a(n) = (1/3) * 4 * 4^(n-2) = 4 * [(1/3) * 4^(n-2)] = 4 * a(n-1), so that

a(n) = 4 * a(n-1).

find x if m<2=6x-12
a)12
b)9
c)6
d)-7

Answers

Answer:

12 ,,............,.,...,,,.

The value of x is 12 (Option a) if m∠2 = 6x - 12.

The given figure is an equilateral triangle, it means all three angles are equal. Therefore, we can assume that m∠2 is one of the angles of the equilateral triangle.

From the given information, we have:

m∠2 = 6x - 12

Since all angles of an equilateral triangle are equal, we can set up the equation:

m∠2 = m∠1 = m∠3

Let's assume m∠1 = m∠2 = m∠3 = y (where y represents the measure of each angle in the equilateral triangle).

We can equate the measures of the angles:

y = 6x - 12

Now, let's solve this equation to find the value of x:

6x - 12 = y

Since y represents the measure of each angle in the equilateral triangle, we can substitute y with 60° (since the sum of the angles in an equilateral triangle is 180°, and each angle is 60°).

6x - 12 = 60

Adding 12 to both sides:

6x = 72

Dividing both sides by 6:

x = 12

Therefore, the value of x is 12.

So, the correct option is: (a) 12

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Which type of parent function is f(x) =^3cubed x

A. Square root
O B. Cube root
O C. Reciprocal
D. Quadratic
Help quick!!!

Answers

Answer:

Cube Root

Step-by-step explanation:

Because there is a 3 outside the symbol.

That means the equation is stating: y * y * y = x

Hope this helps :)

x-2y=-8 slope intercept form
need it asap plz

Answers

Answer:

y = 1/2x + 4

Step-by-step explanation:

hope this helps

A sample of gold has a mass of 579 g. The volume of the sample is 30 cm3. What is the density of the gold sample?

Answers

The density of the gold sample is 19.3g/cm³

Let the mass of the gold sample be represented by m

m = 579 g

Let the volume of the gold sample be represented by V

V = 30 cm³

Let the density of the gold sample be represented by ρ

The formula for the density is:

[tex]Density = \frac{Mass}{Volume}[/tex]

[tex]\rho = \frac{m}{V} \\\rho = \frac{579}{30} \\\rho = 19.3 g/cm^3[/tex]

The density of the gold sample is 19.3g/cm³

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[tex]\sf 7-5x=-43[/tex]

Answers

Answer:

[tex]\sf\longmapsto \: x = 10[/tex]

Step-by-step explanation:

Subtract 7 from both sides:

7−5x−7=−43−7

Simplify:

−5x=−50

Divide both sides by −5:

[tex]\sf\longmapsto \: \frac{ - 5x}{ - 5} = \frac{ - 50}{5} [/tex]

[tex]\sf\longmapsto \: x = 10[/tex]

[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]

[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]

[tex]\boxed{\sf Good\: luck \: for \: your \:assignment} [/tex]

Answer:

x=10

Step-by-step explanation:

[tex]7-5x=-43[/tex]

[tex]7-5x-7=-43-7[/tex] Subtract

[tex]-5x=-50[/tex]

[tex]\cfrac{-5x}{-5}=\cfrac{-50}{-5}[/tex] Divide

[tex]x=10[/tex]

PLS HELP ASAP ILL GIVE BRAINLIEST TYSM

Answers

Answer:

3x+2=16

Step-by-step explanation:

Answer:

the answer is most likely to be rather the first or second choice, but i choose B

Step-by-step explanation:

*Hope this helps*

based on what i understood, 3 green rectangles (or whaever that shape is), the 2 red squares, and the 16 small yellow squares. and the answer choices have

3x - 2 = 16

3x +2 = 16

3x + 4 = 20

3x = 24

and i dont think its 3x + 4 = 20 or 3x = 24 because there isn't any shapes to represent the 4, 20, and 24.

I might be wrong but i hope its right...

Does anyone know this answer for 5 and 6??

Answers

5) direct
6) inverse

George walked 6 miles in 2 hours
What was his average walking rate in miles per hour?
2 miles per hour
3 miles per hour
4 miles per hour
I don't know.

Answers

Answer:

b) 3 miles per hour

Step-by-step explanation:

If George walked 6 miles is 2 hours, his average walking rate would be 3 miles per hour.

6 ÷ 2 = 3.

Insert 5 geometric means between -4 and -62 500​

Answers

9514 1404 393

Answer:

  Either of ...

{-20, -100, -500, -2500, -12500}{20, -100, 500, -2500, 12500}

Step-by-step explanation:

For some common ratio r, the first of the "geometric means" will be -4r, the next will be -4r^2, and so on. The 5th will be -4r^5, and finally, -62500 will be -4r^6.

Solving this last relation for r gives ...

  -4r^6 = -62500

  r^6 = 15625

Then r can be either of ...

  r = ±15625^(1/6) = ±5

For r = 5, the means are ...

  -4·5 = -20, and -100, -500, -2500, -12500

For r = -5, the means are ...

  -4(-5) = 20, and -100, 500, -2500, 12500

If x = a sin α, cos β, y = b sin α.sin β and z = c cos α then (x²/a²) + (y²/b²) + (z²/c²) = ?​

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

Given:

[tex] \rm \longmapsto x = a \sin \alpha \cos \beta [/tex]

[tex] \rm \longmapsto y = b \sin \alpha \sin \beta [/tex]

[tex] \rm \longmapsto z = c\cos \alpha[/tex]

Therefore:

[tex] \rm \longmapsto \dfrac{x}{a} = \sin \alpha \cos \beta [/tex]

[tex] \rm \longmapsto \dfrac{y}{b} = \sin \alpha \sin \beta [/tex]

[tex] \rm \longmapsto \dfrac{z}{c} = \cos \alpha[/tex]

Now:

[tex] \rm = \dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} } [/tex]

[tex] \rm = { \sin}^{2} \alpha \cos^{2} \beta + { \sin}^{2} \alpha \sin^{2} \beta + { \cos}^{2} \alpha [/tex]

[tex] \rm = { \sin}^{2} \alpha (\cos^{2} \beta + \sin^{2} \beta )+ { \cos}^{2} \alpha [/tex]

[tex] \rm = { \sin}^{2} \alpha \cdot1+ { \cos}^{2} \alpha [/tex]

[tex] \rm = { \sin}^{2} \alpha + { \cos}^{2} \alpha [/tex]

[tex] \rm = 1[/tex]

Therefore:

[tex] \rm \longmapsto\dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} } = 1[/tex]

16% of 95 is what number?

Please answer this fast I'll mark you as brainliest. Thank You.

Answers

Answer:

16% of 95 is 15.2

Step-by-step explanation:

0.16×95= 15.2

16.2


Trust me bro I got you

On a blueprint, the scale says that 2 cm represents 3 m. What is the actual length of a wall if it's measurement on the blueprint is 7 cm?

Answers

Answer:

7!!

Step-by-step explanation:

Can someone tell me the answer to this please?

Answers

Answer:

B

Step-by-step explanation:

Hi- So this is a simple question that I keep forgetting how to answer! HELPPPP

Ok so, The scale factor from Triangle A to Triangle B is 2, so Triangle B is 2 times bigger than Triangle A.
How much bigger is the area of Triangle B than the area of Triangle A?

HELPPPP

Answers

Answer:

4 times bigger

Step-by-step explanation:

1. The area of an object dilated by a scale factor (SF) will be equal to (SF)^2.

2. For example, let's say the base and height of Triangle A is 4 and 8. The area would be 16 units squared. The base and height of Triangle B would be 8 and 16. The area would be 64 units squared.

3. As you can see from the aforementioned example, the SF (2) was squared  and then multiplied by 16 to get 64.

Therefore, Triangle B's area is 4 times bigger than Triangle A's area.

In ΔDEF, EF = 15, FD = 13, and DE = 4. Which list has the angles of ΔDEF in order from smallest to largest?

Answers

Answer:

< F , < E, < D

Step-by-step explanation:

ΔDEF

Arrange the sides from smallest to largest

DE = 4, FD = 13, and EF = 15.

Largest side opposes the largest angle, medium side opposes the medium angle, smallest side opposes  the smallest angle.

the angles of ΔDEF in order from smallest to largest

< F , < E, < D

May I please receive help?

Answers

Answer:
I= 61
J=58
K= 61
I have attached the work below.
I know is
l = 61
have a great dayyy

Quis
bentuk pangkat dari
2² + 3² - 2²=
note:. user Indonesia​

Answers

Answer:

9 Should be your answer

Step-by-step explanation:

[tex]2^{2}[/tex] = 4

[tex]3^{2}[/tex] = 9

These will help us as we solve this problem.

Then: 2² + 3² - 2²

= 4 + 9 - 4

= 9

Kind requests:

Please give brainliest :D

Activity Give the exponential model for the following situation​

Answers

Answer:

Suppose that a couple invested $50,000 in an account when their child was born, to prepare for the child's college education. If the average interest rate is 4.4% compounded annually, ( A ) Give an exponential model for the situation, and ( B ) Will the money be doubled by the time the child turns 18 years old?

( A ) First picture signifies the growth of money per year.

( B ) Yes, the money will be doubled as it's maturity would be $108,537.29.

a = p(1 + \frac{r}{n} ) {}^{nt}a=p(1+

n

r

)

nt

a = 50.000.00(1 + \frac{0.044}{1} ) {}^{(1)(18)}a=50.000.00(1+

1

0.044

)

(1)(18)

a = 50.000.00(1 + 0.044) {}^{(1)(18)}a=50.000.00(1+0.044)

(1)(18)

a = 50.000.00(1.044) {}^{(18)}a=50.000.00(1.044)

(18)

50,000.00 ( 2.17074583287910578440507440 it did not round off as the exact decimal is needed.

a = 108.537.29a=108.537.29

Step-by-step explanation:

Hope This Help you!!

what is the value of x for 10x+1=3(4x+2)-3? ​

Answers

Answer:

x= 7

Step-by-step explanation:

Answer:-1

Step-by-step explanation:

10x+1=3(4x+2)-3

10x+1=12x+6-3

10x+1=12x+3

1=2x+3

-2=2x

1=x

A hardware dealer has 168kg of nails, if one nail weighs 0.25kg, how many nails he have?​

Answers

Answer:

He has 672 nails

Step-by-step explanation:

168/.25

Answer:

He has 672 nails.

Step-by-step explanation:

Weight of all nails=168

Weight of a nail=0 .25

Then,

Number of nails=168/0.25

=672

7) The sum of the angle measures of a
quadrilateral is 360°. Find the value of x.
24
2

Answers

Answer:

x=120°

Step-by-step explanation:

X+X+1/2X+1/2X=360

combine all like variables

X+X=2X

1/2X+1/2X=X

2X+X=3X

3X=360

isolate x by dividing both sides by 3

360÷3=120

X=120

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