A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let ^ p denote the proportion in the sample who say they support the increase. Suppose that 47% of all adults in Ohio support the increase. The standard deviation of the sampling distribution is

Answers

Answer 1

Answer:

The correct response is "0.0129".

Step-by-step explanation:

Given:

[tex]n=1500[/tex]

[tex]p=0.47[/tex]

[tex]np=1500\times 0.47[/tex]

    [tex]=705[/tex]

[tex]nq=1500\times (1-0.47)[/tex]

    [tex]=795[/tex]

Mean of sampling distribution will be:

[tex]\mu_\hat{p}[/tex] = [tex]0.47[/tex]

hence,

The standard deviation will be:

⇒  [tex]\sigma_\hat{p}[/tex] = [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

By putting the values, we get

         = [tex]\sqrt{\frac{0.47(1-0.47)}{1500} }[/tex]

         = [tex]0.012886686[/tex]

         = [tex]0.0129[/tex]


Related Questions

could someone help me with this ASAP? thanks !

Answers

Answer:

A. [tex]6x^2[/tex]+-5x+14x+-35

           [tex]6x^2[/tex]+9x-35

B. [tex]5x^4+-3x^3+10x^3+-6x^2[/tex]

           [tex]5x^4+7x^3-6x^2[/tex]

C. [tex]25x^2+-20x+20x+-16[/tex]

             [tex]25x^2-16[/tex]

D. [tex]x^4+-4x^2+-7x^2+28[/tex]

           [tex]x^4-11x^2+28[/tex]

[tex]====================================[/tex]

Step-by-step explanation:

A. (3x*2x)+(3x*-5)+(7*2x)+(7*-5)

        Multiply and simplify.

                [tex]6x^2[/tex]+9x-35

B. ([tex]x^2*5x^2[/tex])+([tex]x^2*[/tex]-3x)+(2x[tex]*5x^2[/tex])+(2x[tex]*-3x[/tex])

         Multiply and simplify.

              [tex]5x^4+7x^3-6x^2[/tex]

C. [tex](5x*5x)+(5x*-4)+(4*5x)+(4*-4)[/tex]

         Multiply and simplify.

                  [tex]25x^2-16[/tex]

D. [tex](x^2*x^2)+(x^2*-4)+(-7*x^2)+(-7*-4)[/tex]

         Multiply and simplify.

                [tex]x^4-11x^2+28[/tex]

I hope this helps!

But you should really do this yourself.

G(x)=3x+2 encontrar el dominio, codominio y haga tabla de valores

Answers

Answer:

x=

[tex]x = \frac{2}{g - 3} [/tex]

explainion is shown in picture above. Hope this helps

The sum of a rational number and an irrational number is irrational.

Always true,sometimes true, never true

Answers

Answer:   Always true

=========================================================

Explanation:

We can prove this by contradiction.

Let's say

A = some rational numberB = some irrational numberC = some other rational number

and

A+B = C

We'll show that a contradiction happens based on this.

If A is rational, then A = p/q where p,q are two integers. The q cannot be zero.

If C is rational, then C = r/s for some other integers. We can't have s be zero.

Note the following

A+B = C

B = C - A

B = r/s - p/q

B = qr/qs - ps/qs

B = (qr - ps)/qs

B = (some integer)/(some other integer)

This shows B is rational. But this is where the contradiction happens: We stated earlier that B was irrational. A number cannot be both rational and irrational at the same time. The very definition "irrational" literally means "not rational".

In short, I've shown that if A+B = C such that A,C are rational, then B must be rational as well.

The template is

rational + rational = rational

Therefore, we've shown that if A is rational and B is irrational, then C cannot possibly be rational. C is irrational.

Another template is

rational + irrational = irrational

I need help I don't understand this.

Answers

Answer:

x=5

Step-by-step explanation:

(5x+2)/3 = 9

Multiply each side by 3

(5x+2)/3 *3 = 9*3

5x+2 = 27

Subtract 2 from each side

5x+2-2 = 27-2

5x = 25

Divide by 5

5x/5 = 25/5

x =

Solve the system of equations:
v=2x-4
y=x2 - 4

Answers

The choose (D)

(0,-4) and (2,0)

25. Several functions represent different savings account plans. Which functions are linear?
A. y = 3.6 x2
B. y = 5.25 x
c. y = 0,5 Х
D.y = 2.5 x +7
E. y = 2.50(1.3)*
NEED HELPP​

Answers

Answer:

b, c, d

Step-by-step explanation:

y=kx+b

or

y=kx

so y=5,25x-right

y=0,5x-right

y=2,5x+7-right

Bismah is building 5 raised garden beds in a community garden. Each raised
garden bed will need 1 7/8 bags of soil. How many bags of soil will Bismah need for
all 5 raised garden beds?

Answers

Answer:

9.375

Step-by-step explanation:

1 7/8x5

because you need 5 times the amount

Answer:

let the dude get brainlest

Step-by-step explanation:

If I Have 100 Dollars And i go to the bank and i ask for 30 more and use that money on a store and i have 12 Dollars Left How Much Did the Thing I Bought Cost/ How Much Money did i spend?

Answers

Answer:

$118

Step-by-step explanation:

First, find how much money you had after going to the bank:

100 + 30

= $130

Find how much money you spent at the store by subtracting 12 from 130:

130 - 12

= 118

So, you spent $118

determine the equation of a line that is vertical and goes through (-5,6)

Answers

Answer:

x = -5

Step-by-step explanation:

A vertical line is a line that goes up and down.  It is of the form x = constant

To go through (-5,6) is has to have the value of the x coordinate

x = -5

find the missing side. Round it to the nearest tenth.​

Answers

Final Answer: 82.2

formula used: a² + b² = c²

a = 66

b = 49

c = x

Solution:

66² + 49² = x²  (note: 66² = 66 × 66 = 4,356 and 49² = 49 × 49 = 2,401)

4,356 + 2,401 = x²

[tex]\sqrt{6,757}[/tex] = [tex]\sqrt{x^2}[/tex]

82.201 = x

rounded to the nearest tenth: 82.2

hope this helps, let me know if its incorrect or not

have a great day ;)

which is the right equation

Answers

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{2}{3}[/tex] x + 1 ← is in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex]

Parallel lines have equal slopes , then

the slope of a parallel rail has slope = [tex]\frac{2}{3}[/tex]

The only equation with this slope is

y = [tex]\frac{2}{3}[/tex] x + 3 ← could represent the path of the second rail → C

The question is
"Mia has a large bag of sweets, If i share the sweets equally among 1,2,3,4,5 or 6 people, there will always be 1 sweet left over"
with step by step pls :(

Answers

Answer:

61

or

421

Step-by-step explanation:

Find the L.C.M. of 2,3,4,5,6 and add 1.

2| 2-3-4-5-6

-------------------  

2| 1-3-2-5-3

---------------------

3| 1-3-1-5-3

----------------------

5| 1-1-1-5-1

----------------------

 | 1-1-1-1-1-1

L.C.M.=2×2×3×5=60

reqd. number=60+1=61

if i distribute between 2,3,4,5,6 people then reqd number is 61

if Mia is also among those people or she gets also share

then the people are2,3,4,5,6 or 7

L.C.M. of 2,3,4,5,6,7=60×7=420

so reqd number is 420+1=421

PLS HELP ME ON TTHIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION WHILE YOU ANSWER THE QUESTION!!
Which of the following is not a step in creating a box plot?
A. Order the data
B. Find the values for the five-number summary
C. Create a number line
D. Add all of the numbers in the data set and divide by the number of data items in the set

Answers

9514 1404 393

Answer:

  D (compute the mean)

Step-by-step explanation:

A box plot is a visual representation of the 5-number summary of a set of data. It is plotted against a number line.

The 5-number summary of the data set is most easily determined from an ordered set of the data, so ordering the data is usually the first step. Since the 5-number summary is plotted against a number line, the next steps are finding the 5-number summary, and creating a suitable number line.

__

The business of adding the data and dividing by the number of data items is a description of computing the mean of the data. That value is not part of the 5-number summary, and is not needed in the creation of the box plot.

Can anyone help?
For what values of K does the equation (2k+1)x^2 +2x= 10x - 6 have two real and equal roots?

Answers

For the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.

Since the equation is (2k + 1)x² + 2x = 10x - 6, we collect subtract 10x from both sides and add 6 to both sides.

So, we have (2k + 1)x² + 2x - 10x + 6 = 10x - 6 - 10x + 6

(2k + 1)x² - 8x + 6 = 0

For the equation, (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, this new equation (2k + 1)x² - 8x + 6 = 0 must also have two real and equal roots.

For the equation to have two real and equal roots, its discriminant, D = 0.

D = b² - 4ac where b = -8, a = 2k + 1 and c = 6.

So, D =  b² - 4ac

D =  (-8)² - 4 × (2k + 1) × 6 = 0

64 - 24(2k + 1) = 0

Dividing through by 8, we have

8 - 3(2k + 1) = 0

Expanding the bracket, we have

8 - 6k - 3 = 0

Collecting like terms, we have

-6k + 5 = 0

Subtracting 5 from both sides, we have

-6k = -5

Dividing through by -6, we have

k = -5/-6

k = 5/6

So, for the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.

Learn more about quadratic equations here:

https://brainly.com/question/18162688

Given g(x) = -x + 4, find g(5).

Answers

Answer:

g(5) = -1

Step-by-step explanation:

Let x = 5.

[tex]g(5)=-(5)+4\\g(5)=-5+4\\g(5)=-1[/tex]

Answer:

-1

Step-by-step explanation:

g(x)= -x+4

then substitute 5 on x

=-(5)+4=-1

(1)
A piece of wire is bent to form a square of area 121 cm?
Calculate:
a)
The length of each side of the square
b)
The perimeter of the square

Answers

Step-by-step explanation:

that is really a problem ?

come on !

you know, the area of a square is side length × side length = length²

that is basically all of us learn as the very first thing when we are learning about squaring and multiplication.

how do we get the regular side length out of length² ?

we pull the square root. you have a calculator (at least on your computer, cell phone,...).

sqrt(121) = .... .... .... 11 ! tada !

and the perimeter of a square ... you really have to ask ?

it is the way all around the whole square. you need to go along every one of the 4 sides.

so, it is side length × 4 = 11×4 = 44 cm

again - you really needed help with THAT ?

Opal can make 9 beaded bracelets per hour, and Lynette can make 6 per hour. Together how many hours should it take them to make 45 beaded bracelets?

Answers

Answer:

I'm pretty sure it is 3 hours.

Step-by-step explanation:

Well, when you add 9 plus 6, you get 15. Then you divie 45 by 15, which gives you three. Hope this helps. Good luck :D

what is 2,034,627 rounded to the nearest ten thousand

Answers

Answer:

rounded to the nearest ten thousand

2,034,627

2,030,000

What is x in the diagram below?

Answers

Answer:

3rd option, 2√10

Step-by-step explanation:

x²=4×10

or, x=√(4×10)

or, x=2√10

Answer: C, 2√10

Step-by-step explanation:

help me please!!!!!!!!

Answers

Answer:

BC = 29.4

Step-by-step explanation:

30² = 20² + BC² -2•20•BC•cos(108)

900 = 400 +BC² -12.4•BC

900 -400 = BC² -12.4•BC

BC² -12.4•BC -500 = 0

Solve the equation using Bhaskara and you'll find two possible values for BC, which are:

BC = -17 and BC = 29.4

A negative number doesn't make sense because it is a side of a triangle, so we choose BC = 29.4

Solve the inequality 8 + n > 4.

Answers

Answer:

n>-4

Step-by-step explanation:

8+n>4

n>4-8

n>-4

Answer:

-4

Step-by-step explanation

Subtract 8 from 4 to get -4.

N = -4

God Bless.

Factorize:
6 + 13mn + 7m² n²
explanation​

Answers

Answer:

1(6+13mn+7m^2n^2)

Step-by-step explanation:

The coefficients and variables in this equation have a common factor of 1, therefore the equation will go back to it's original state if you use 1 as the common factor.

I hope this helps and sorry if am wrong

Find an equation for y (in terms of β and α). Then find tan y.

Answers

Answer:

See below

Step-by-step explanation:

Angle opposite to 6 is complementary of α:

90 - α

Similarly, angle opposite to side 4 of the triangle in the right side is:

90 - β

Sum of the interior angles of the triangle on the bottom:

90 - α + 90 - β + γ = 180γ = α + βtan γ = tan (α + β)

From the smaller triangles we get:

tan α = 4/6 = 2/3tan β = 3/4

Use the identity below and find the value of tan γ:

tan (α + β) = (tan α + tan β)/(1 - tan α tan β)tan γ = tan (α + β) = (2/3 + 3/4) / (1 - 2/3*3/4) =(17/12) / (1/2) = 17/6 = 2 5/6

Almost done with this lesson! A little more help ASAP pls!!!

Answers

Answer:

10.8

Step-by-step explanation:

√(5-(-5))² + (8 -4)²

√10² + 4²

√100+16

√116 = 10.8

C(-5,4)D(5,8)

[tex]\\ \sf\longmapsto CD=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \sf\longmapsto CD=\sqrt{(5+5)^2+(8-4)^2}[/tex]

[tex]\\ \sf\longmapsto CD=\sqrt{(10)^2+(4)^2}[/tex]

[tex]\\ \sf\longmapsto CD=\sqrt{100+16}[/tex]

[tex]\\ \sf\longmapsto CD=\sqrt{116}[/tex]

[tex]\\ \sf\longmapsto CD=10.4[/tex]

change 0.625 to a percentage

Answers

Im pretty sure that its 62.5%

Answer:

62%

Step-by-step explanation:

If you need to round to nearest percent it will be 63%

how do i convert y = 6x into y = mx + b form?​

Answers

Answer:

it already is in that form

y = 6x

technically Y = 6x + 0 could be the answer...

but in math we tend to not rite "obvious"  information

to reduce clutter and confusion

+1[tex]x^{1}[/tex] is technically correct but we drop the + sign for positive numbers

and also drop the exponent if it is a 1 ... similarly

+1[tex]x^{1}[/tex] + 0 + 0 + 0  would also be silly and we don't write the zeros

+1[tex]x^{1}[/tex] + 0 + 0 + 0 = x

Step-by-step explanation:

Susan wants to make pumpkin bread and zucchini bread for the school bake sale. She has 15 eggs and 16 cups of flour in her pantry. Her recipe for one loaf of pumpkin bread uses 2 eggs and 3 cups of flour. Her recipe for one loaf of zucchini bread uses 3 eggs and 4 cups of flour. She plans to sell pumpkin bread loaves for $5 each and zucchini bread loaves for $4 each. Susan wants to maximize the money raised at the bake sale. Let x represent the number of loaves of pumpkin bread and y represent the number of loaves of zucchini bread Susan bakes. What is the objective function for the problem

Answers

Answer:

Objective Function z

z =  5*x  +  4*y .       to maximize

Step-by-step explanation:

                           eggs             flour

P. Bread    (x)        2                   3

Z. Bread .   (y)       3                  4

Availability .        15                 16

Constraints.

Eggs availability .  15

2*x + 3*y ≤ 15

Flour availability 16 cups

3*x + 4*y ≤16

Objective Function z

z =  5*x  +  4*y .       to maximize

The model:

z =  5*x  +  4*y .       to maximize

Subject to:

2*x + 3*y ≤ 15

3*x + 4*y ≤16

x ≥ 0  y  ≥ 0 .  integers

Answer: C

Step-by-step explanation:

Correct on edg 2020

Which of the following questions is a statistical question

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

The first question.

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

Statistical questions have answers in which data varies. The first question, "How many sticks of gum can you chew at one time?" can be statistical because not all people can chew the same number at one time. Some can chew 2 sticks, others can chew 3 or 4.The other three questions can be answered with a fixed number.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Rationalize the denominator and simplify:
a) (√3 - √2)/( √3+√2)
b) (5+2√3)/(7+4√3)
c) (1+√2)/(3 - 2√2)

Answers

Answer:

A) (√3-√2)/(√3+√2)

Step-by-step explanation:

i think so

In a math class of 28 students, 14 boys and 14 are girls. On a unit test, 5 boys and 9 girls made an A grade. A student is chosen at random from the class. What is the probability of choosing a girl or an A student?

A. 0.82

B. 0.68

C. 0.14

D. 0.50

Answers

Answer:

The probability of choosing a girl is 1/2.

The probability of choosing an A student who is a BOY is 5/28.

1/2 = 14/28, and 14/28 + 5/28 = 19/28. This can be simplified to 0.68

Thus, the answer is B. 0.68

Let me know if this helps!

The required probability of choosing a girl or an A student is 0.82. Option A   is correct.

Given that,
In a math class of 28 students, 14 boys and 14 are girls. On a unit test, 5 boys and 9 girls made an A grade.
A student is chosen at random from the class. What is the probability of choosing a girl or an A student is to be determined.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.


Total sample space = 28
Number of girls = 14
Number of boys = 14
Number of girls A grade student  = 9

probability of a girl = 14/28 = 0.5
probability of A grader girl  = 9 / 28 = 0.32
Now the probability of choosing a girl or an A grader girl student,
= 0.32 + 0.5
= 0.82

Thus, the required probability of choosing a girl or an A student is 0.82. Option A  is correct.

Learn more about probability here:

brainly.com/question/14290572

#SPJ5


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