1. The mayor of the city of Cleveland wants to increase taxes in order to invest in a light-rail transit system. She hires a polling agency to randomly
select 750 registered voters in the city to survey in order to determine the maximum percentage increase in municipal taxes that they would
approve. What is the population in this survey and the population parameter?
All American citizens and the maximum percentage increase in taxes
750 registered voters in Cleveland and the average light-rail transit cost per mile
O All registered voters in Cleveland and the maximum percentage increase in taxes
O Citizens over 65 years of age in Cleveland and the 750 registered voters

Step-by-step explanation:

[tex] \frac{5 - 5 \sqrt{3} }{2 - \sqrt{11} } [/tex]

To rationalize the surd multiply both the numerator and the denominator by

2 + √11

That's

[tex] \frac{5 - 5 \sqrt{3} }{2 - \sqrt{11} } \times \frac{2 + \sqrt{11} }{2 + \sqrt{11} } [/tex]

Multiply the numerators and the denominator separately

That's

[tex] \frac{(5 - 5 \sqrt{3} )(2 + \sqrt{11} )}{(2 - \sqrt{11})(2 + \sqrt{11} ) } [/tex]

Simplify

[tex] \frac{10 + 5 \sqrt{11} - 10 \sqrt{3} - 5\sqrt{33} }{?} [/tex]

[tex] \frac{10 + 5 \sqrt{11} - 10 \sqrt{3} - 5 \sqrt{33} }{4 - 2 \sqrt{11} + 2 \sqrt{11} - 11} [/tex]

[tex] \frac{10 + 5 \sqrt{11} - 10 \sqrt{3} - 5 \sqrt{33}}{4 - 11} [/tex]

[tex] \frac{10 + 5 \sqrt{11} - 10 \sqrt{3} - 5 \sqrt{33}}{ - 7} [/tex]

We have the final answer as

[tex] - \frac{10 + 5 \sqrt{11} - 10 \sqrt{3} - 5 \sqrt{33}}{7} [/tex]

Hope this helps you

Answer:

[tex]\boxed{\frac{1}{25} \text { OR } 0.04}}[/tex]

Step-by-step explanation:

[tex]5^{-2}\\\\\text {Apply Negative Exponent Rule: } a^{-b}=\frac{1}{a^b}\\\\5^{-2}=\frac{1}{5^2}=\boxed{{\frac{1}{25}} \text { OR } 0.04}[/tex]

Complete question:

One researcher wishes to estimate the mean number of hours that high school students spend watching TV on a weekday. A margin of error of 0.28 hours is desired. Past studies suggest that a population standard deviation of 1.5 hours is reasonable. Estimate the minimum sample size required to estimate the population mean with the stated accuracy.

Answer:

111 students

Step-by-step explanation:

Given the following :

Margin of Error (E) = 0.28

Population standard deviation (sd) = 1.5

Recall:

Margin of Error(E) = Z * (sd/√n)

Taking a confidence interval of 95%

The Z value at a 95% confidence interval is 1.96

Plugging our values, we have :

Margin of Error(E) = Z * (sd/√n)

0.28 = 1.96 * (1.5/√n)

0.28 = 2.94 / √n

√n × 0.28 = 2.94

√n = 2.94 / 0.28

√n = 10.5

Square both sides to obtain n

n = 10.5^2

n = 110.25

Step-by-step explanation:

Hi, there!!

Here according to the question we must find the cost of 1 kg sugar.

Given that:

17/4 kg of sugar cost £68.

then 1 kg sugar costs,

=[tex] \frac{68}{ \frac{17}{4} } [/tex]

after reciprocal we get,

= £68×4/17

=£16

The answer would come £16.

Therefore, The cost of 1 kg sugar is £. 16.

Hope it helps....

Answer:

£ 16

Step-by-step explanation:

Cost of 4 1/4 kg sugar = £ 68

4 1/4 = 17/4

Cost of 17/4 kg of sugar = 68

Cost of 1 kg of sugar =68 ÷ (17/4)

                                  [tex]= 68* \frac{4}{17}\\\\=4*4\\[/tex]

                                  = £ 16​

Answer:

11 cakes. he can make 11 cakes

Answer:

11

Step-by-step explanation:

You have to do 4 x the amount you know you can such as 10.

Then you have to multiply the 1/2 by that same number

So we'd get 4x10=40 and 1/2x10=5 to get 45

Then we add 45+4 1/2 = 49 1/2

They can make 11 cakes

Answer:

If this is a numerical equation that you need, than here is an example: 2(6x+5)

or, if you ae not using variables, 2(6+5)

Step-by-step explanation:

In both cases the 2 is the number being distributed. This means that 2 is being multiplied by both 6x and 5 (or 6 and 5).

Answer:

Step-by-step explanation:

(1/3)*(3/5)*(5/7)*.......*(93/95) * (95/97) * (97/99)

The denominator of each fraction will cancel out the numerator of the next fraction.

Take a close look

Therefore the result is 1/99

HOPE IT HELPS!!

The product of the geometric series  is 1/99.

The product is a geometric series with first term 1/3 and common ratio 2/3. The number of terms is 49. The sum of the series is 1/99.

Here's the explanation:

A geometric series is a series where each term is multiplied by a constant value to get the next term. The constant value is called the common ratio.

In this case, the first term is 1/3 and the common ratio is 2/3. This means that each term is multiplied by 2/3 to get the next term.

The number of terms in the series is 49. This means that there are 49 terms in the series, starting with 1/3 and ending with 97/99.

The sum of the series is 1/99. This can be found using the formula for the sum of a geometric series:

S = a × (1 - [tex]r^{n}[/tex]) / 1 - r

where a is the first term, r is the common ratio, and n is the number of terms.

In this case, a = 1/3, r = 2/3, and n = 49. Substituting these values into the formula, we get:

S = (1/3) × (1 - (2/3)49) / 1 - (2/3) = 1/99

Therefore, the product is 1/99.

Learn more about geometric series  here: brainly.com/question/30264021

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Answer:

THE ANSWER WOULD BE TRUE MY FRIEND

Answer:

Length of an edge=4.0825 inches

Approximately 4.1 inches

Step-by-step explanation:

Lateral surface area of a cube=100 square inches

There are 6 square surfaces on a cube.

6a^2=surface area of a cube

6a^2=100

Divide both sides by 6

a^2=100/6

a^2=16.6667

Find the square root of both sides

√a^2=√16.6667

a=√16.6667

x=4.0825 inches

Length of an edge=4.0825 inches

Answer:

2√5

Step-by-step explanation:

I got it correct on founders edtell

Since the angle of the arc is 90°, we'll plug that in for theta. We're finding the length of the arc, so we'll use the circumference formula.

Answer:

8 sqrt(10)

Step-by-step explanation:

2 sqrt(8) * sqrt(20)

We know sqrt(a) * sqrt(b) = sqrt(ab)

2 sqrt(8) * sqrt(20)

2 sqrt(160)

2 sqrt(16*10)

2 sqrt(16) sqrt(10)

2 *4 sqrt(10)

8 sqrt(10)

Answer:

First, we can write 2√8 as 2 x √8. This will make the next calculations easier.

So the problem becomes 2 x √8 x √20.  

We can group together √8 and √20, to get √160.

And we have: 2√160.

However, this can be simplified further, as 16x10 = 160, and so we obtain the  final answer of 8√10.

C is correct.

Hi there! :)

Answer:

[tex]\huge\boxed{\frac{1}{25}}[/tex]

When evaluating an expression with a negative exponent, the reciprocal will need to be taken. Therefore:

[tex]5^{-2} = \frac{1}{5^{2} } = \frac{1}{25}[/tex]

Step-by-step explanation:

all answers and steps are in picture

Answer:

The chalkboard costs $54.00

Step-by-step explanation:

A chalkboard is in a shape of a rectangle. The chalkboard mentioned measures 1 meter by 2 meters.

The area of a rectangle is given by the formula:

A = lw

Use formula:

A = (2)(1) = 2 m^2

The chalkboard costs $27.00 per square meter so:

2 x 27 = 54

The chalkboard costs $54.00

Answer:

36.8

Step-by-step explanation:

Perimeter is the addition of each side.

8.2 + 4.5 + 7.1 + 10.8 + 3.4 + 2.8

^        ^

  12.7 + 7.1

  19.8 + 10.8

  30.6 + 3.4

   34 + 2.8

        36.8

Hope this helped.

Answer:

36.8 in

Step-by-step explanation:

Perimeter is the sum of length of all sides of the figure

Perimeter=8.2+10.8+4.5+7.1+2.8+3.4=36.8

Answer:

x=-5

Step-by-step explanation:

-5+2=(-3)

-3*(-1)= 3

Answer:

x=-5

Step-by-step explanation:

(x+2)/-1 = 3

Multiply each side by -1

(x+2)/-1 * -1 = 3*-1

x+2 = -3

Subtract 2 from each side

x+2-2 = -3-2

x = -5

Answer:

4x+(-3y)

Step-by-step explanation:

[tex]\\ \rm\longmapsto 4x+(-3y)[/tex]

[tex]\\ \rm\longmapsto 4x-3y[/tex]

Answer:

4+5[tex]\sqrt{2}[/tex] ft

Step-by-step explanation:

The type o the length of the shed will be a real number and a rational number. Then the correct option is B and E.

The continuous portrayal of numerals using digits and perhaps other marks is known as a number system.

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number.

Helena builds a shed in her backyard.

There is a larger section for large tools, like her lawn mower, and a smaller section for small tools.

The type o the length of the shed will be a real number and a rational number.

Then the correct option is B and E.

The complete question is attached below.

More about the number system link is given below.

https://brainly.com/question/22046046

#SPJ2

[tex]\\ \sf\longmapsto \dfrac{15}{k}[/tex]

Put the value

[tex]\\ \sf\longmapsto \dfrac{15}{3}[/tex]

[tex]\\ \sf\longmapsto 5[/tex]

[tex]\large\bf{\orange{ \implies}} \tt \: \frac{15}{k} \\ [/tex]

Value of k is 3

[tex]\large\bf{\purple{ \implies}} \tt \: \cancel\frac{15}{3} \: = \: 5 \: \\ [/tex]

Answer:

w/2 = 7.5/5

3kg

Step-by-step explanation:

Remaining question below:

Which proportion could Maddy use to model this situation?

a. w/2 = 7.5/5

b. w/7.5 = 5/2

Solve the proportion to determine the weight of a 2 liter jug.

_____kg

5 liters jug of sport drink weighs 7.5kg

2 liters jug of sport drink will weigh x kg

Find w

Ratio of weight to volume

7.5kg : 5liters=7.5/5

wkg : 2 liters=w/2

Equates the ratio

7.5 / 5 = w / 2

Cross product

7.5*2=5*w

15=5w

Divide both sides by 5

3=w

w=3kg

Therefore, weight of the 2liters jug of sport drink is 3kg

Answer:

The answer is 3kg!

Step-by-step explanation:

56/64 = 7/8

7/8 x 120

105.

When a line is rotated, it is rotated about a fixed point to its new position. Line AB must turn 180 degrees about point A to coincide with line AE.

The complete question is that we determine the angle which AB will turn to, about point A to align with AE (see attachment for the figure)

Line AB and AE form a straight line. This means that the angle between these two lines on either side of point A is [tex]180^o[/tex]

So for line AB to coincides with line AE, the line AB must turn 180 degrees about point A.

Hence, option (B) is correct.

Read more about rotation of points at:

https://brainly.com/question/22363471

Answer:

SSS

Step-by-step explanation:

We do not know any of the angles, and we also do not know if the triangles are right triangles. Thus, SSS is the only option left. We know that all three sides are congruent anyway.

Answer:

SSS

Step-by-step explanation:

AC = OD

AT = OG

CT = DG

You have three congruent sides making ΔACT & ΔODG congruent by SSS.

Answer:

1.) 3 shovels/7 buckets

2.)7 buckets/3shovels

Answer:

line of symmetry is : x=2

Step-by-step explanation:

Answer:

Thus, the required line of symmetry is x = 2.

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

1) Move the 7a to the other side

2) Move the 3

3) Combine like terms

4) Divide by 9

5) Answer is 2/3

Answer:

a=2/3

Step-by-step explanation:

All this problem needs is some knowledge of how an = sign and basic equations work

7a-3=3-2a

7a+2a=3+3  (Sign becomes opposite on the other side of the equation)

9a=6

a=2/3

Thank you for your time!

Answer:

4. Meena- 3

Jerry- 6

5a. 5

5b. 6

Step-by-step explanation:

We can use the distance formula to solve all of these.

[tex]\sqrt{(x_{2} } -x_{1} )^2+(y_{2} -y_{1} )^2[/tex]

Plug the numbers in and make sure you understand how i got these answers :) Let me know if you see anything wrong about it, and i will try and fix it.

Answer:

(1, -13)

Brainliest, please!

Step-by-step explanation:

To find the x coordinate of the vertex, we use the formula, -b / 2a. In this problem, a = 2, and b = -4. c is -5, but we don't need to know it.

- -4 / 2(2) = 4 / 4 = 1

Vertex = (1, y)

Next, we plug 1 back into the parabola equation for x to solve for y.

y = -2(1)^2 - 4(1) -5

y = -2^2 - 4 - 5

y = -4 - 4 - 5

y = -8 - 5

y = - 13

Vertex = (1, -13)

Answer:

Step-by-step explanation:

a) Input = -9   ⇒ x = -9

y = x² + 3

Plugin x = (-9),

y = (-9)² + 3  

  =  81 +  3                {(-9)² = -9 * (-9) = 81}

y = 84    ---> Output

y = √x - 2

  = √-9 - 2          { i² = -1}

  [tex]= \sqrt{3*3 * i^{2}}-2\\\\=3i -2[/tex]    

y = 3i - 2  ------> Output

b) Output = 0

y  = x² + 3

x² + 3 = 0

x² = -3

[tex]x = \sqrt{-3}=\sqrt{3i^{2}}\\\\x = i \sqrt{3}[/tex]

y = √x -2

0 = √x - 2

√x = 2

Take square,

[tex](\sqrt{x})^{2}=2^{2}\\\x = 4[/tex]