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Using the z-distribution, it is found that the lower bound of the 99% confidence interval is given by:

d. 68.39%.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

The sample size and estimate are given by:

[tex]n = 2002, \pi = 0.71[/tex]

Hence, the lower bound is given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.71 - 2.575\sqrt{\frac{0.71(0.29)}{2002}} = 0.6839[/tex]

Hence the lower bound is of 68.39%, which means that option D is correct.

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Answer:

11 Hours

Step-by-step explanation:

Let's say Lisa makes x hours babysitting and y hours giving music lessons.

Because she worked a total of 18 hours, we know that x + y = 18.

5 * x is how much money she earns babysitting for x hours, while 12 * y is how much money she earns giving music lessons for y hours. Adding them up gives her total revenue:

5x + 12y = 139

We now have a system of equations. Let's multiply both sides of x + y = 18 by 12:

12 * (x + y) = 18 * 12

12x + 12y = 216

Now, subtract 5x + 12y = 139 from 12x + 12y = 216:

    12x + 12y = 216

-     5x + 12y = 139

_________________

      7x + 0y = 77

Divide both sides by 7:

x = 11

Thus, Lisa spent 11 hours babysitting.

Answer:

11 hours baby sitting and 7 hours music lessons

Step-by-step explanation:

you have to solve:

x + y = 18

and

5x + 12y= 139

assuming that x is the total hours of baby sitting and y is the total hours of music lessons

Upper left corner

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Explanation:

There are 2 red out of 1+2+2 = 5 total. The fraction 2/5 represents the probability of picking red on the first selection.

Assuming the marble picked is not put back, we have 2 green out of 5-1 = 4 left over. So 2/4 = 1/2 is the probability of picking green as the second selection, based on the previous event in the first paragraph.

Multipling those fractions gets us (2/5)*(1/2) = (2*1)/(5*2) = 2/10 = 1/5 as the probability of picking red, then green with no replacement.

Answer:

y = -1/2 x + 10.

Step-by-step explanation:

The line q has the same slope (-1/2) as line p as the 2 lines are parallel.

Equation of the line q:

y - 8 = -1/2(x - 4)

y - 8  = -1/2x + 2

y = -1/2 x + 2 + 8

y = -1/2 x + 10.

Answer:

X=35

Step-by-step explanation:

all angles on a straight line equal 180 degrees

there fore the equation for x will be,

180= 40+(2X+30)+40

180=40+ 2X +30+40

180 =2X+110

180-110=2X

70=2X

70/2=X

35=X

Answer:

$201,600

Step-by-step explanation:

Multiply 34 and 84, which is 2016. Then add 2 zeros at the end because there are 2 zeros in 8400. So, the answer is 201,600 dollars.

Answer:

11.1%

Step-by-step explanation:

% error = [(3600-3200)/3600] * 100

= 11.1%

An expression is formed of numbers, variables, and mathematical operations. The expression that is equivalent to 35m²-63 is 7(5m²-9).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given the expression 35m²-63, which can be written as,

[tex]35m^2-63\\[/tex]

Taking 7 as common from both the terms,

[tex]= 7(5m^2-9)\\[/tex]

Hence, the expression that is equivalent to 35m²-63 is 7(5m²-9).

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Answer:

1 and 25, 5 and 5, and i'll be ur friend ^w^

Step-by-step explanation:

5 and 5 is the only mutiplication beside one to get to 25, and i can be ur friend ^w^

Answer:

A

Step-by-step explanation:You can use a calculator also 1% of 800 is 8 .So  multiply 20 by 8 which is 160 and 8 times 3 is 24 and 160 plus 24 is 184.

Answer: 223%

Step-by-step explanation:

Deduct 616 from 800 to get the amount reduced. 800-616=184

184/800=0.23

convert to a percentage by multiplying by 100

Answer:

I think it's 50....

Step-by-step explanation:

I added 21 for the base plus 9 for one side, 8 for the other side plus another 9 for the top and added 3

So 21 + 9 + 8 + 9 + 3 = 50

I hope it's right

Answer:

  B.  (x, y) ⇒ (x, -y)

Step-by-step explanation:

When a point is reflected over the x-axis, it is moved along a vertical line to the same distance on the other side of the x-axis.

The x-coordinate of a point identifies its distance from the y-axis--the vertical line it is on. The y-coordinate identifies its distance from the x-axis. Changing the sign of the y-coordinate moves the point to the same distance on the other side of the x-axis--reflecting it over the x-axis.

__

The given points ABC and A'B'C' all match the pattern ...

  (x, y) ⇒ (x, -y)

  A(-1, 7) ⇒ A'(-1, -7)

  B(6, 5) ⇒ B'(6, -5)

  C(-2, 2) ⇒ C'(-2, -2)

so the image points represent a reflection over the x-axis of the original points.

Answer:

Hundred Thousand

Step-by-step explanation:

Hundred Thousand

I hope it helped you

Answer:

Hundred thousand

Step-by-step explanation:

The digit 6 is in the hundred thousand place.

To understand place values, see the attached file.

[tex]\rule[225]{225}{2}[/tex]

Answer:

61.)   A, B, A

62.) 120 minutes

Step-by-step explanation:

61.) 48 is a multiple of 6. A multiple is a number which can be fully divided into another number (divded without remainder). Therefore, 48 is a multiple of 6 because 6 * 8 = 48 meaning that 48/6 would equal 8. Because there is no remainder, Carly can put the beads into 6 equal groups.

62.) This is a simple conversion problem. Since they are asking the amount of minutes, you need to convert 2 hours to minutes. You do not need to calculate it or set up a formula because there are 60 minutes in one hour, therore, in 2 hours there are 120 minutes (60 minutes + 60 minutes).

Answer:

55

Step-by-step explanation:

Let x represent the number of one bedroom units and y represent the number of two bedroom units.

Since the apartment building contains 100 units:

1) x + y = 100

The total monthly rent paid by the tenants is $55,275, so:

2) 495x + 600y = 55275

Solving equation 1 and 2 gives:

x = 45, y = 55

So, there are 55 two-bedroom units in the apartment.

Answer:

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

- 1 ( [tex]\frac{3x}{2y}[/tex] )

- 1 is multiplying the complere fraction , not just 1 part of it , so

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

Answer:

0

Step-by-step explanation:

-3+8x-5=-8

8x-8=-8

8x=-8+8

x=0/8

x=0

Answer:

D. 0

Step-by-step explanation:

-3+8(0)-5 = -8

Answer:

1^32=1

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Domain

Range

Answer:

range is 4 domain is 64 i think

Step-by-step explanation:

Answer:

It's good. Because over those 3 months your grade increased.

Step-by-step explanation:

Answer: hii

Thats really good, That means you have improved a lot!

Step-by-step explanation:

If you got a f and then get a c later on it means you gotten better at the topic for the exam.

Hopefully this helps you!

- Matthew :)

Answer:

y=.5x+1.5

Step-by-step explanation:

The slope is .5

Answer:

2x+4=y

Step-by-step explanation:

Y equals 2*x+4/2x+4 so you figure out what x equals the multiply it by 2, then add 4 and the number you get is how much y is.

If you didnt understand I am very sorry. I am trying my best to explain.

Answer:

tin of beans = .70 pound

Step-by-step explanation:

 10 =  1.90  + 2 * 3.10  +  .50   + 2b

b = .70

Answer:

The correct answer is $75,900.

Step-by-step explanation:

five apple trees in 25 mins.

the duration he'll take to plant 200 trees.

let the time taken to plant 1 tree be x.

5x=25

=>x=25/5-5 mins

time taken to plant 200 trees:

trees=200*5

=1000mins

=16.67 hours.

therefore, he'll take 16.67 hours to plant 200 trees.

trees=200*5

=1000 mins

=16.67 hours.

he will take 16.67hours to plant 200 trees.

Answer:

Hi mate I got you

Step-by-step explanation:

A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution.

A negative discriminant indicates that neither of the solutions are real numbers.

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