Thirty-five percent of adult Americans are regular voters. A random sample of 250 adults in a medium-size college town were surveyed, and it was found that 110 were regular voters. Estimate the true proportion of regular voters with 90% confidence and comment on your results.

Using the Distributive Property we can put this in its simplest form.

6(x+2)

(6)(x)+(6)(2)

6x+12

Answer:

6x + 12

Step-by-step explanation:

Use the distributive property to multiply the 6 to the x and 2 to get 6x + 12.

Step-by-step explanation:

diameter (d) = 7cm

radius (r)= d/2 .... formula

= 7/2 .....put the value

= 3.5cm

the measure of radius is 3.5cm.

Answer:

y=-2 when x=0

Step-by-step explanation:

The value of the function f(x), When x = 0 is y = - 2.

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

From the graph of the function, it intersects the x-axis at two distinct places

so it is a polynomial of degree two.

Let the given function be f(x).

By observing the graph of the function f(x), When x = 0, f(x) = - 2.

Or y = - 2.

learn more about polynomials here :

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Answer:

Step-by-step explanation:

[tex]9\frac{1}{8} = 2\frac{1}{4} +x[/tex]

[tex]\frac{9*8+1}{8} =\frac{4*2+1}{4} +x[/tex]

[tex]\frac{73}{8} =\frac{9}{4} +x[/tex]

[tex]\frac{73}{8} =\frac{9+4*x}{4}[/tex]

do cross multiplication

[tex]8(4x+9)=4*73\\32x+72=292\\32x=292-72\\x=220/32\\x=6.875[/tex]

Answer:

I think you would have to plug in 4 as X so it would be 4^2 +8(4)+ 7

that would be 16+ 32 +7 and that would equal 55

Answer:

320 square feet.

Step-by-step explanation:

For the moment, let's put the square back in place. That would make the length 16 + 8 = 24 and the width 16.

L = 24

W = 16

Area = L * W

Area = 24 * 16

Area = 384

Now the next step is to take out the square. It is 8 * 8 = 64

The area of the figure = 384 - 64 = 320 square feet, and that's the answer.

Answer:

320 in^2

Step-by-step explanation:

we need to find the area of this figure

Firstly divide above picture in two parts

1st figure = (16*16)in.

2nd figure = (8*8)in.

Area of 1st figure = 16*16 = 256 in^2

Area of 2nd figure = 8*8 = 64 in^2

Area of whole figure = ( 256 + 64 )in^2

= 320 in^2

Answer:

9, 12

Step-by-step explanation:

Just multiply the 3,4,5 triple by 3 and u get 9, 12, 15

Answer:

112

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

4×4= 16×2=32

5×4= 20×2=40

5×4= 20×2=40

Total = 112

Answer:

84

59

Step-by-step explanation:

In other to have the same number of chayes in both rows and columns ;

If the Number of chairs per row = x ; then number of chairs per column = x

Then the total number of chairs needed = x * x = x²

Hence, if there are 5100 chairs ;

Number of chairs needed more ;

Take the square root of 5100 ;the round to the next whole number :

B.) For number of chairs to be removed ;

Take the square root of 5100 and round down to the whole number.

Hence,

A.) = √5100 = 71.414 = 72

72² - 5100 = 84

B.) 5100 = 71.414 = 71

5100 - 71² =

Answer:

g(5) = 15

Explanation:

If the x in g(x) is 5 then the x beside 3 would also be 5.

g(5) = 3(5)

g(5) = 15

Hope this helps, good luck!

Answer:

g(5)= 15

Step-by-step explanation:

g(x) = 3x and in this situation x =5 (  g(5)  )

so substitute x for 5 in the original equation:

g(x) = 3x --> g(5) = 3(5)

which gives you 15. Hope this helps!

Answer

c,116°

Step-by-step explanation:

i don't know how to draw a diagram?

Join ends of chord with the center making angles ∠2,∠3 and angle at the center.

angle at the center=128°

∠1=∠2+90°

∠2=∠3

∠2+∠3+128=180

∠2+∠2+128=180

2∠2=180-128=52

∠2=52/2=26

∠1=26+90=116°

sorry i can't explain properly without picure.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the dimension of the dog pen = 30 ft by 40 ft.

Using the knowledge of geometry, that know that a rectangle has been built, the area of the pen should be :

Area of rectangle = Length * width

Area = 40 * 30

Area = 1200 ft²

Perimeter of rectangle = 2(Length + width)

Perimeter = 2(40 + 30)

Perimeter = 2(70)

Perimeter = 140 feets

Hence, area of the pen should be 1200 ft² and its perimeter or fencing should measure 140 feets

Answer:

wenus.

Step-by-step explanation:

4 inches. hduruuruthtututuu4u4

9514 1404 393

Answer:

  53.6 mL

Step-by-step explanation:

The amount of acid is 16.2% of 331 mL, or ...

  0.162 × 331 mL = 53.622 mL

There are about 53.6 mL of acid in the solution.

Solution :

Given :

Mean, μ = 10 inches

Standard deviation, σ = 1.6 inches

Sample size is n = 39

Therefore,

[tex]$\mu_{\overline x}=\mu = 10$[/tex]

[tex]$\sigma_{\overline x}=\frac{\sigma}{\sqrt n } = \frac{1.6}{\sqrt{39}}$[/tex]

               = 0.25

[tex]$P (\overline X > 10.5 ) = P\left( \frac{\overline X - \mu_{\overline x}}{\sigma_{\overline x}} > \frac{10.5 - 10}{0.25} \right)$[/tex]

                      = P( Z >2)

                       = 1 - P(Z < 2)

                       = 1 - 0.97225 (from standard normal table)

                       = 0.0277

Answer:

lol

Step-by-step explanation:

Answer:

285 cm

Step-by-step explanation:

perimeter of big triangle

base = 19 + 27

=46 cm

perimeter = base*height/2

=46*30/2

=1380/2

=690 cm

perimeter of not white not shaded triangle

base = 27 cm

height = 30 cm

perimeter = base*height/2

=27*30/2

=810/2

=405 cm

perimeter of shaded triangle = 690 cm - 405 cm

=285 cm

Answer:

46

Step-by-step explanation:

102 + 32 = 134

180 - 134 = 46

x = 46

Answer: -4...?

Step-by-step explanation:

Answer:

7**6

Step-by-step explanation:

The expression 7^6 ; can be interpreted as 7 raised to the power of 6 ; which is (7 * 7 * 7 * 7 * 7 * 7). To execute this expression using a computer or basic mathematical operation on a computer we use the power symbol which the computer understand this the double multiplication symbol (**)

Hence, 7^6 = (7**6)

Answer:

[tex]Pr =\frac{1}{3}[/tex]

Step-by-step explanation:

Given

[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)[/tex]

[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]

[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex] --- sample space

First, list out all outcomes whose sum is divisible by 5

[tex]A = \{(4,6), (5,5),(6,4)\}[/tex]

So, we have:

[tex]n(A) = 3[/tex]

Next, list out all outcomes that has an outcome of 5 in both rolls

[tex]B = \{(5,5)\}[/tex]

[tex]n(B) =1[/tex]

The required conditional probability is:

[tex]Pr =\frac{n(B)}{n(A)}[/tex]

[tex]Pr =\frac{1}{3}[/tex]

Answer:

a2

b4

c16 brainliest plzz

Answer:

a) SV = 2

The line that is SV actually is not the full slash. It is halfway, and we know that half of four would be two.

b) RT = 4

This time RT is a full line going all the way down. So it would be 4.

c) p = a + b + c

The lengths are all the same because we calculated in the first question that two is half of four. So the base, height, and hypotenuse are the same, 2.

2 + 2 + 2 = 6

So the perimeter of the triangle RVS is 6.

Answer: 13 miles

Step-by-step explanation: If you're rounding to the nearest whole number your answer should not consist of a decimal. You are rounding based on your tens place because you're trying to find the nearest whole number. Your tenths place value is 0.4. In order to know if you're rounding up or down you have to rememeber anything between 0-4 you round down (keep the number the same). Anything 5-9 you're rounding up the next number.

Answer:

The ordered pair would be (2,3)

2 in the first Box

3 in the second

Answer:

75 km.

Step-by-step explanation:

Fractions of a number

To get the fraction of a number, we multiply that number by the given fraction.

For example two-thirds of 60 is 2/3 × 60 = 2 × 20 = 40 and one-fifth of 100 is 1/5 × 100 = 100/5 = 20

Now, we are supposed to find a fraction of 100 km. Assume its three-quarters.

So, three-quarters of 100 km is 3/4 × 100 km = 3 × 100 km/4 = 3 × 25 km = 75 km

So, three-quarters of 100 km is 75 km.

question isn't loading

Step-by-step explanation:

Answer:

i think it is b but don't take my word

Step-by-step explanation:

Answer:

[tex]z = -1.53[/tex] --- test statistic

[tex]p = 0.1260[/tex] --- p value

Conclusion: Fail to reject the null hypothesis.

Step-by-step explanation:

Given

[tex]n_1 = 80[/tex]     [tex]\bar x_1= 104[/tex]   [tex]\sigma_1 = 8.4[/tex]

[tex]n_2 = 70[/tex]    [tex]\bar x_2 = 106[/tex]    [tex]\sigma_2 = 7.6[/tex]

[tex]H_o: \mu_1 - \mu_2 = 0[/tex] --- Null hypothesis

[tex]H_a: \mu_1 - \mu_2 \ne 0[/tex] ---- Alternate hypothesis

[tex]\alpha = 0.05[/tex]

Solving (a): The test statistic

This is calculated as:

[tex]z = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} }}[/tex]

So, we have:

[tex]z = \frac{104 - 106}{\sqrt{\frac{8.4^2}{80} + \frac{7.6^2}{70} }}[/tex]

[tex]z = \frac{104 - 106}{\sqrt{\frac{70.56}{80} + \frac{57.76}{70}}}[/tex]

[tex]z = \frac{-2}{\sqrt{0.8820 + 0.8251}}[/tex]

[tex]z = \frac{-2}{\sqrt{1.7071}}[/tex]

[tex]z = \frac{-2}{1.3066}[/tex]

[tex]z = -1.53[/tex]

Solving (b): The p value

This is calculated as:

[tex]p = 2 * P(Z < z)[/tex]

So, we have:

[tex]p = 2 * P(Z < -1.53)[/tex]

Look up the z probability in the z score table. So, the expression becomes

[tex]p = 2 * 0.0630[/tex]

[tex]p = 0.1260[/tex]

Solving (c): With [tex]\alpha = 0.05[/tex], what is the conclusion based on the p value

We have:

[tex]\alpha = 0.05[/tex]

In (b), we have:

[tex]p = 0.1260[/tex]

By comparison:

[tex]p > \alpha[/tex]

i.e.

[tex]0.1260 > 0.05[/tex]

So, we fail to reject the null hypothesis.

Answer:

49500

Step-by-step explanation:

According to the Question,

We have, District geons = 20 , District Size = 5

Now, We choose 2 geons From 100 Geons and arrange them in 10 district relations.

= [tex]\left[\begin{array}{ccc}100\\2\end{array}\right] * 10[/tex]

= (100 × 99)/2 × 10

= 49.5×100×10   ⇒ 49500