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Complete Question

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Answer:

The 95% confidence interval estimate of the population percentage is  

   [tex] 33.2\% <  p < 76.8 \% [/tex]

Step-by-step explanation:

On the data the first value is the height of the president while the other value is the height of his opponent

    The sample size is  n  =  20  

Looking at the data we see that out of the 20  presidents that only 11 is taller than their opponent

 So the proportion of presidents that are taller than their opponents is  

      [tex]\^ p = \frac{11}{20}[/tex]  

=>   [tex]\^ p = 0.55[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of   is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

   [tex]E = Z_{\frac{\alpha }{2} } *  \sqrt{\frac{\^ p (1- \^ p) }{n}} [/tex]

  [tex]E = 1.96 *  \sqrt{\frac{0.55 (1- 0.55) }{20}} [/tex]

   [tex]E = 0.218[/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\r p -E <  p <  \r p +E[/tex]

=>    [tex]0.55-0.218 <  p < 0.55+ 0.218 [/tex]

=>    [tex]0.332 <  p < 0.768 [/tex]

Converting to percentage

        [tex](0.332*100)\% <  p < (0.768 *100) \% [/tex]

=>    [tex] 33.2\% <  p < 76.8 \% [/tex]

Answer:

uwiouwj22nnjj n2k2k2km n2n2j2j2j2jn2n2 2 2 2 2n2j2j2n2n2 2 2 3 3n2j2j2n3n n3j3n3n3n3 3

Answer: 4.15 degrees

Step-by-step explanation:

-6 + 6.5 + 3.9 - 4/25 = -6 + 6.5 + 3.9 - 0.25 = 4.15 degrees (assuming that the am in the fourth sentence is a typo)

Answer: what are you doing stepbro

Step-by-step explanation: i like doggos :)

Answer:

2 divided by (x-7)

Step-by-step explanation:

Answer:

The direction matters  , but only in sign... so from A to A'  is what i'm guessing is the direction of translation

Step-by-step explanation:

find the vector from A to A'  or any of the other non prime to prime points.. the vector will be the same...  soooo

take the origin point as P1 , then take the destination point a P2

and subtract P2-P1

P2 = A' = (6,-2)

P1 = A = (2, 1)

(6-2, -2-1) = (4,-3)

your vector can be place at the origin.. and go 4 in the x direction and -3 in the y direction and you get that translation.. make sense?

Answer:

y = 1/2x + 2

Step-by-step explanation:

The y-intercept is 2 because it passes through the y axis at (0,2) and the slope if 1/2

Hope that helps and have a great day!

Answer:

[tex]y=\frac{1}{2}x+2[/tex]

Step-by-step explanation:

To find the equation for the line, lets try to find the slope and y-intercept of the line.

From looking at the graph, we can see that the line intersects the y-axis at y = 2. So the y-intercept would be 2.

The slope of the line would be the rise divided by the run. Looking at the graph, we can see that for every 2 the line moves in the x-direction, it moves 1 in the y-direction. This means that the rise is 1 and the run is 2. So the slope would be 1/2.

So we now know that the slope is 1/2 and the y-intercept is 2, we can now plug the information into the slope-intercept form.

Slope-intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

Plugging in we get

[tex]y=\frac{1}{2}x+2[/tex]

And now we have the equation of the line.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

Step-by-step explanation:

The solution  is  LCM

the least common multiple of 10 and 8 are

10=10,20,30,40,50,60,70,80,90,........

8= 8,16,24,32,40,48,56,64,72,80,88..........

The least common multiple is 80

therefore it will take 80 callers to call in to win both the bills

kindly let me know if you need further clarification on this

Regards

Answer:

1 foot

Step-by-step explanation:

Since the cub is 1 foot, that means the mother is 6 ft.

Assuming that the mother does not grow and the cub grows 2 feet, a year later the cub is 3 feet and the mother is 6 feet.

3 is half of 6, meaning the mother is twice the cub.

Answer:

6+5]4

Step-by-step explanation:

Answer:

Ok so right now that is in standard form (Ax+by=C) and we want to get this into y=mx+b form so that we can easily identify the slope. To do that we need to get y alone by folowing these steps:

9x-3y=81

9x-9x-3y=81-9x (in this step we are just getting rid of the x's from the left side so we can get y alone but since we subtract x from that side we need to subtract the same amount of x's on the other)

-3y=81-9x

-3y/-3=81-9x/-3 (finally to get y alone we need to divide by a -3. This is because any negative number multiplied or divided by another negative will give us a positive. If we divide by 3 then y will be negative which is incorrect. We have to divide by -3 on each side)\

y=81-9x/-3 -----> y=-27+3x ( in this part we have to divide everything on the right side of the equation by -3 as we did on the left side. 81/-3 = -27 and -9x/-3 = +3x.

our new equation is y=-27+3x although the proper form is y=mx+b.

all we need to do now is flip the 3x and -27 for this equation to match y-mx+b form. M in the equation represents the slope of an equation.

y=-27+3x---> y=3x-27

in this equation 3 is m and m represents the slope. For an line to be parralel to one another they must have the same slope. Therefore the slope of a line parallel to that equation is 3.

Step-by-step explanation:

The Slope of a line parallel to the line whose equation is 9x – 3y = 81 is 3.

A slope of a line is the change in y coordinate with respect to the change in x coordinate.

Given that the slope of a line parallel to the line whose equation is

9x – 3y = 81

Reducing the Equation in form of y = mx + c, where m is the slope,

9x - 3y = 81

3y = 9x - 81

y = 3x - 27

Since, two line when parallel have equal slope, so the slope of the given line is 3.

Hence, The Slope of a line parallel to the line whose equation is

9x – 3y = 81 is 3.

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Answer:

The common multiples would be 1, 2, 12, 24, and 36.

Step-by-step explanation:

1 goes both into 4 and 6.

2 goes into 4 and 6.

6x4=24/2=12, therefore 12 is a multiple of 6 and 4

21 is a common multiple because 6x4=4.

Hope I could help!

Answer:

x = -7 y=-23

Step-by-step explanation:

Answer:

6.92000

Step-by-step explanation:

because it has to be between q and 10

Answer:

Assuming the leak took 2 hours to fix, the original height of the pool is 5 feet.

Step-by-step explanation:

This is probably the most simple "high school" problem I've seen in a while. All you have to do is move the negative 0.25 to the other side to isolate x. That gives you 4.75 + 0.25, or 5 feet.

The original height of the water in the pool was 5 feet.

Given that there is leak in a pool causes the height of the water to decrease by 0.25 foot over 2 hours.

After the leak is fixed, the height of the water is 4.75 feet.

The equation 4.75 = x - 0.25 can be used to find x, the original height of the water in a pool.

we need to find the original height of water,

To find the original height of the water in the pool, we can use the given information and equation.

Let's break down the equation: 4.75 = x - 0.25

Here, x represents the original height of the water in the pool, and -0.25 represents the decrease caused by the leak.

The equation states that after the leak is fixed, the height of the water in the pool is 4.75 feet. This means that the final height (4.75 feet) is equal to the original height (x) minus the decrease caused by the leak (-0.25 feet).

To solve for x, we can isolate it on one side of the equation.

Adding 0.25 to both sides of the equation, we get:

4.75 + 0.25 = x - 0.25 + 0.25

Simplifying the equation, we have:

5 = x

Therefore, the original height of the water in the pool was 5 feet.

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The correct option is A. Rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G'H'J' and STU.

There are four types of rigid motions that we will consider translation , rotation, reflection, and glide reflection.

Here we have to rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G'H'J' and STU.

Hence option A is correct that is Rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G'H'J' and STU.

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Answer:

t

Step-by-step explanation:

falseeeeeeeeeeeeeeeeeeeeee

Answer: d

brainliest plz

Answer:

C. 6(4) + n

Step-by-step explanation:

Six

6

Times the quantity of four

(4)

Plus a number

+n

The phrase that best represents six times the quantity of four plus a number is 6(4) + n.

A numerical expression is a form where we express a statement by number and their operations.

According to the given phrase six times the quantity four which is 6(4) plus a number.

6(4) + n.

What we have done here is we formed a numerical expression from a given statement.

Suppose we have given sum of 4 and thrice of a number is 10.

So, 4 + 3n = 10

3n = 10 - 4

3n = 6

n = 2.

So the number is 2.

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Answer: Step-by-step explanation:

What is 5.56666666667 as a fraction?

To write 5.56666666667 as a fraction you have to write 5.56666666667 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

5.56666666667 = 5.56666666667/1 = 55.6666666667/10 = 556.666666667/100 = 5566.66666667/1000 = 55666.6666667/10000 = 556666.666667/100000 = 5566666.66667/1000000 = 55666666.6667/10000000 = 556666666.667/100000000 = 5566666666.67/1000000000 = 55666666666.7/10000000000 = 556666666667/100000000000

And finally we have:

5.56666666667 as a fraction equals 556666666667/100000000000

Answer:

y+72=340

Step-by-step explanation:

Answer:

the real part is part of -12i is 0

It is 180 degrees- hope this helps!

Answer:

b or c

Step-by-step explanation:

Answer:

A. Angles 4 and 5 are Alternate Interior Angles.

Answer:

800

Step-by-step explanation:

ROund 39 to 40 and 18 to 20.

This results in 40 x 20=800.

Answer:

25:15

Step-by-step explanation: