Mathematics College

Can you please help me solve this question. Thank you

Answers

Answer 1

Answer:

0.4384 < p < 0.5049

Explanation:

The confidence interval for the population proportion can be calculated as:

[tex]p^{\prime}-z_{\frac{\alpha}{2}}\sqrt[]{\frac{p^{\prime}(1-p^{\prime})}{n}}

Where p' is the sample proportion, z is the z-score related to the 95% level of confidence, n is the size of the sample and p is the population proportion.

Now, we can calculate p' as the division of the number of voters of favor approval by the total number of voters.

[tex]p^{\prime}=\frac{408}{865}=0.4717[/tex]

Additionally, n = 865 and z = 1.96 for a 95% level of confidence. So, replacing the values, we get:

[tex]\begin{gathered} 0.4717-1.96\sqrt[]{\frac{0.4717(1-0.4717)_{}}{865}}

Therefore, the confidence interval for the true proportion is:

0.4384 < p < 0.5049

Related Questions

&A(n)is formed when two rays have a common endpoint.Oline segmentangle

Answers

When two rays are with a common endpoint, an angle is formed and the common endpoint is called the vertex of the angle

In mid-2019, Coca-Cola Company had a share price of $39. Its dividend was $1.00 per year, and you expect Coca-Cola to raise this dividend by approximately 7% per year in perpetuity. If Coca-Cola’s equity cost of capital is 8%, what share price would you expect based on your estimate of the dividend growth rate?

Answers

The share price I would expect based on the estimate of the dividend growth rate is $10.70.

What is the share price?

In order to determine the share price, the constant growth dividend model would be used. According to the model, the share price is a function of the cost of equity, dividend paid and growth rate.

Share price = next dividend / (cost of equity - growth rate)

Next dividend = current dividend x (1 + growth rate)

$1 x (1 + 0.07)

$1 x 1.07 = $1.07

Share price = $1,07 / (0.08 - 0.07)

$1.07 / 0.01 = $10.70

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If a = (3.2) and b=(-5. 3), what is a +b?

Answers

Given the value of a and b

[tex]\begin{gathered} a=3.2 \\ b=-5.3 \end{gathered}[/tex]

To get a+b

[tex]a+b=3.2-5.3[/tex]

Thus

[tex]a+b=-2.1[/tex]

Thus, a + b = -2.1

5000 + 300 + 8 in standard form

Answers

Answer:[tex]\text{ 5.308 }\times10^3[/tex]Explanations:

The given arithmetic expression is:

5000 + 300 + 8

This sum can be computed as shown below:

Therefore, 5000 + 300 + 8 = 5308

Convert 5308 to standard form

[tex]5308\text{ = 5.308 }\times10^3[/tex]

Subtract the following polynomials 1) (2x + 43) - (-3x-9)2) (f+9) - (12f 79)3) (75 X²)+ 23 + 13) - (15 X² - X + 40)

Answers

for 1.

2x+43+3x+9=5x+52

f+9-12f+9=f-12f+9-9=-11f

75x^2 +23x+13-15x^2+x-40=

=60x^2+24x-27

for 2)

23d^3+(7g^9)^13

remember that power to the power means that you need to multipy the exponents

=23d^3+7^13g^117

34x(2x-11)=68x^2-374x

2m(m+3n)=2 m^2+6mn

we have lenght

l=2x+5

w=x+7

area, A= lxw

A= (2x+5)(x+7)

this is the polynomial for the area

if we have x=12

l= (2*12)+5=24+5=29

w=12+7=19

A=29*19=551 ft^2

follow the order of operations and evaluate the exponential expression (5+1)^2-(9-5)^2x3

Answers

[tex]\begin{gathered} 6^2-4^{2\times3} \\ =6^2-4^6 \\ =\text{ 36-4096} \\ =\text{ -4060} \end{gathered}[/tex]

p(x) = x + 4; Find p(2) evaluate function

Answers

Given:

The function is,

[tex]p(x)=x+4[/tex]

Explanation:

Substitute 2 for x in the function to determine the value of p(2).

[tex]\begin{gathered} p(2)=2+4 \\ =6 \end{gathered}[/tex]

So answer is p(2) = 6

In terms of trigonometry ratios for triangle BCE what is the length of line CE. Insert text on the triangle to show the length of line CE.When you are done using the formula for the triangle area Area equals 1/2 times base times height write an expression for the area of triangle ABC Base your answer on the work you did above

Answers

CE can be written as:

[tex]\frac{BE}{CE}=\frac{CE}{AE}[/tex]

Solve for CE:

[tex]\begin{gathered} CE^2=BE\cdot AE \\ CE=\sqrt[]{BE\cdot AE} \end{gathered}[/tex]

The area is:

[tex]\begin{gathered} A=\frac{b\cdot h}{2} \\ _{\text{ }}where\colon \\ _{\text{ }}b=AB \\ h=CE=\sqrt[]{BE\cdot AE} \\ so\colon \\ A=\frac{AB\cdot\sqrt[]{BE\cdot AE}}{2} \end{gathered}[/tex]

Miguel Valdez sells appliances. He is paid an 8% commission on the first $5,000 worth of sales, 10% on the next $5,500, and 15% on all sales over $10,500. What is his commission on $14,910 worth of sales?

Answers

Total Sales = 14910

8% on 5000

10% on 5500

15% on

14910 - 10500 = 4410

So,

15% on 4410 [this is the excess of 10,500]

Converting percentages to decimal:

8% = 8/100 = 0.08

10% = 10/100 = 0.1

15% = 15/100 = 0.15

Total Commission

[tex]0.08(5000)+0.1(5500)+0.15(4410)=1611.5[/tex]$1611.50

Special right trianglesFind the exact values of the side lengths c and a

Answers

ExplanationFirst triangle

Since it is a right triangle, we can use the trigonometric ratio cos(θ) to find the length c.

[tex]\cos(\theta)=\frac{\text{ Adjacent side}}{\text{ Hypotenuse}}[/tex]

So, we have:

[tex]\begin{gathered} \cos(\theta)=\frac{\text{ Adjacent side}}{\text{ Hypotenuse}} \\ \cos(45°)=\frac{c}{7} \\ \text{ Multiply by 7 from both sides} \\ \cos(45\degree)\cdot7=\frac{c}{7}\cdot7 \\ 7\cos(45\degree)=c \\ \frac{7\sqrt{2}}{2}=c \end{gathered}[/tex]Second triangle

Since it is a right triangle, we can use the trigonometric ratio cos(θ) to find the length a.

So, we have:

[tex]\begin{gathered} \cos(\theta)=\frac{\text{ Adjacent side}}{\text{ Hypotenuse}} \\ \cos(60°)=\frac{a}{2} \\ \text{ Multiply by 2 from both sides} \\ \cos(60°)\cdot2=\frac{a}{2}\cdot2 \\ 2\cos(60\degree)=a \\ 2\cdot\frac{1}{2}=a \\ 1=a \end{gathered}[/tex]Answer[tex]\begin{gathered} c=\frac{7\sqrt{2}}{2} \\ a=1 \end{gathered}[/tex]

A rectangular board is 1200 millimeters long and 900 millimeters wide what is the area of the board in square meters? do not round your answer

Answers

Answer: Area of the rectangular board is 1.08 square meters

The length of the rectangular board = 1200 milimeters

The width of the rectangular board = 900 milimeters

Area of a rectangle = Length x width

Firstly, we need to convert the milimeter to meters

1000mm = 1m

1200mm = xm

Cross multiply

x * 1000 = 1200 x 1

1000x = 1200

Divide both sides by 1000

x = 1200/100

x = 1.2 meters

For the width

1000mm = 1m

900mm = xm

cross multiply

1000 * x = 900 * 1

1000x = 900

Divide both sides by 1000

x = 900/1000

x = 0.9m

Length = 1.2 meters

Width = 0.9 meter

Area = length x width

Area = 1.2 x 0.9

Area = 1.08 square meters

how do I solve (4w+3x+5)-(4w-3x+2)

Answers

Answer:

6x + 3

Explanation:

To solve the initial expression, we need to write it without the parenthesis as:

( 4w + 3x + 5 ) - ( 4w - 3x + 2)

4w + 3x + 5 - 4w + 3x - 2

Then, we need to identify the like terms as:

4w and -4w are like terms

3x and 3x are like terms

5 and -2 are like terms

Now, we can organize the terms as:

4w - 4w + 3x + 3x + 5 - 2

Adding like terms, we get:

(4w - 4w) + (3x + 3x) + (5 - 2)

0 + 6x + 3

6x + 3

Therefore, the answer is 6x + 3

Write an equation in the form r(x) = p(x) / q(x) for each function shown below.Pls see pic for details

Answers

The line equation is of the form

[tex]y=mx+c\ldots(1)[/tex]

From the graph, we observe and find these points

(1,5) and (0,4) lie on the given line.

Substituting x=1, y=5 in equation (1), we get

[tex]5=m(1)+c[/tex]

[tex]m+c=5\ldots\text{.}(2)[/tex]

Substituting x=0, y=4 in equation (1), we get

[tex]4=m(0)+c[/tex]

[tex]c=4[/tex]

Substituting c=4 in equation (2), we get

[tex]m+4=5[/tex]

[tex]m=5-4[/tex]

[tex]m=1[/tex]

Substituting c=4,m=1 in equation (1), we get

[tex]y=x+5[/tex]

We need to write this equation in the form of r(x) = p(x) / q(x).

[tex]r(x)=\frac{p(x)}{q(x)}\ldots(3)[/tex]

Let r(x)=x+5, q(x)=x, and subsitute in the equation , we get

[tex]x+5=\frac{p(x)}{x}[/tex]

Using the cross-product method, we get

[tex]x(x+5)=p(x)[/tex]

[tex]x\times x+x\times5=p(x)[/tex]

[tex]x^2+5x=p(x)[/tex]

Substitute values in equation (3), we get

[tex]x+5=\frac{x^2+5x}{x}[/tex]

Hence the required equation is

[tex]x+5=\frac{x^2+5x}{x}[/tex]

Suppose the graph of
y
=
f
(
x
)
is stretched vertically by a factor of
3
, reflected across the
x
-axis, then translated left
7
units, and up
2
units.

The new graph will have equation y=

Answers

Answer:

[tex]y=-3(x+7)+2[/tex]

Step-by-step explanation:

Alright, so the first mistake people make is to try to visualize this graph. For the sake of the problem, it does not matter in the slightest.

To start, we have y=f(x).

The first change is a vertical stretch. These are represented outside the parentheses. Meaning, the new stretched equation would be y=3(x). The three does not replace the "f", just no one would write the f into the equation as it is implied.

Next, the graph is reflected across the x-axis. This means that there is a negative outside of the parentheses. The new equation would be -3(x). As stretches are always greater than 1 and shrinks are between 0 and 1, it is clear the negative denotes a reflection.

Translations to the left are denoted as positives inside parentheses. In this case, left 7 would be -3(x+7).

Finally, upwards translations are positive numbers shown following the parentheses. Up two would make your final equation -3(x+7)+2.

42. If a pipe can drain a tank in t hours, what part of the tank does foes it drain in 3 hours? A. 3t B. t/3C. t + 3D. 3/t

Answers

Let us assume that the volume of a full tank is 1

If the tank can drain the full tank in t hours, it means that

1 = t

Let x represent the volume of the tank that would be drained in 3 hours. It means that

x = 3

We would solve both equations for x

1 = t

x = 3

By crossmultiplying,

xt = 3

x = 3/t

Thus, the correct option is D

Write this algebraic expression into a verbal expression: 1/3 ( h - 1 )

Answers

Answer:

One-third of the difference of h and 1

What is the slope of the line below? If necessary, enter your answer as afraction in lowest terms, using the slash (/) as the fraction bar. Do not enteryour answer as a decimal number or an equation.

Answers

To find the slope of a line use two points (x,y) in the next formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

In the given line you have the points: (-4, -9) and (-2, -3)

[tex]m=\frac{-3-(-9)}{-2-(-4)}=\frac{-3+9}{-2+4}=\frac{6}{2}=3[/tex]Then, the slope of the given line is 3

Given that 1 inch = 2.54 centimeters how many centimeters are in 6 feet?

Answers

Answer:

182.88 centimeters are in 6 feet!

Step-by-step explanation:

I hope this helped! c:

Answer:

182.88 centimeters

Step-by-step explanation:

1 in. = 2.54 cm.

and

12 in. = 1 ft.

lets convert cm into feet

1 * 12 = 12 (how many inches are in a foot )

2.54 * 12 = 30.48 (how many centimeters are in a foot)

so now that we know how many centimeters are in a foot, we can find out how many centimeters are in 6 feet

30.48 * 6 = 182.88

182.88 centimeters are in 6 feet

I have tried multiple times but still could not get the correct answer or at least accurate answers

Answers

Given:

R is the midpoint of QS.

[tex]RS=5\text{,RT}=13[/tex]

The midpoint is the point on a line segment equally distant from the two endpoints.

It gives,

[tex]\begin{gathered} QR=RS\ldots\ldots\text{. R is midpoint of QS} \\ \Rightarrow QR=5 \end{gathered}[/tex]

Also,

[tex]\begin{gathered} RS+ST=RT \\ 5+ST=13 \\ ST=13-5 \\ ST=8 \end{gathered}[/tex]

So, QT is calculated as,

[tex]\begin{gathered} QT=QR+RE+ST \\ QT=5+5+8=18 \end{gathered}[/tex]

Answer: QT = 18

please when I send u this math explain it for me I'm only 12 and stuff is kinda hard to comprehend

Answers

The first operation is[tex]-14+(-42)[/tex]

First, we have to get rid of the parenthesis, to do that, we just multiply signs to get

[tex]-14-42[/tex]

Now, we sum these numbers since they have the same signs

[tex]-14-42=-56[/tex]

Therefore, the answer to (a) is -56.

The second operation is [tex]34+(-24)[/tex]

We get rid of the parenthesis

[tex]34-24[/tex]

Then, we subtract these numbers since they have different signs

[tex]34-24=10[/tex]

Therefore, the answer to (b) is 10.

The third operation is[tex]-7+10[/tex]

We just subtract these numbers since they have different signs

[tex]-7+10=3[/tex]

Therefore, the answer to (c) is 3.

The fourth operation is[tex]-50+45[/tex]

We just subtract

[tex]-50+45=-5[/tex]

Therefore, the answer to (d) is -5.

The last operation is[tex]8+88[/tex]

We just sum

[tex]8+88=96[/tex]

Therefore, the answer to (e) is 96.

(1) Which of the following statements are true? Select all that apply.
A. The data suggest that a linear model would be appropriate.
B. The data increase by a fixed amount each year.
Relative Change
XXXXX
C. The data suggest that an exponential model would be appropriate.
D. The data show a constant growth rate.
E. No model can be inferred from the data provided.

Answers

No model can be inferred from the data provided

A glassblower makes vases. To prevent them from breaking,each vase's thickness should be 6 millimeters and candeviate by no more than 1 millimeter.Write an inequality to represent this situation, where t is thethickness in millimeters, and solve for the maximumthickness.

Answers

Since each vase should be 6 millimeters and can only deviate by no more than 1 millimeter, the inequality for the thickness would be:

[tex]6\ge t\leq7[/tex]

And the maximum thickness would be 7 millimeters.

I need help solving this and figuring out the plotting points.

Answers

SOLUTION

It is gien that the monthly salary is $2200

It is given that Keren receives additional $80 for every copy of English is fun she sells.

Let the number of English is fun she sells be n and let the total amount earned in the month be s

Thus the equation representing the total amount earned is:

[tex]s=2200+8n[/tex]

The graph of the equation is shown:

1) find the value of AC
2) find the measure of

Answers

1) The value of AC = 116

2) The measure of ∠BEF = 53°

What is Bisector?

When anything is divided into two equal or congruent portions, usually by a line, it is said to have been bisected in geometry. The line is then referred to as the bisector. Segment bisectors and angle bisectors are the sorts of bisectors that are most frequently taken into consideration.

Given,

BD is a perpendicular bisector

A is an angle bisector

BD is a perpendicular bisector then AD = DC

2n + 18 = 4n - 22

4n - 2n = 18 + 22

2n = 40

n = 40/2

n = 20

AD = 2(20) + 18

= 40 + 18

AD = 58

Now,

1) Length of AC

AC = 2AD

Here, AD = 58

AC = 2(58)

AC = 116

Hence, The value of AC is 116

2) A is an angle bisector

∠BAE = ∠DAE = 37°

∠DAE = 37°

Δ ADE is a right angle triangle

∠DEA = 90 - ∠DAE

= 90 - 37

= 53°

Since, ∠DEA = ∠BEF

∠BEF = 53°

Hence, The measure of ∠BEF = 53°

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find the equation of the line?

Answers

Let's calculate the straight line equation

To do this we will take two points from the graph

A = (0,3)

B= (2,0)

For them we will first calculate the slope of the curve

[tex]m=\frac{y2-y1}{x2-x1}[/tex][tex]\begin{gathered} m=\frac{0-3}{2-0} \\ m=\frac{-3}{2} \end{gathered}[/tex]

Now let's calculate the y-axis intersection

[tex]\begin{gathered} b=y-mx \\ b=3-m\cdot0 \\ b=3 \end{gathered}[/tex]

The equation of the line in the slope-intercept form is

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

Which of the following are solutions to the inequality below? Select all that apply.

Answers

Step-by-step explanation:

1.12+8×10<66

12+80<66

92<66

2.12+8×3<66

12+24<66

36<66

3.12+8×8<66

12+64<66

76<66

4.12+8×4<66

12+32<66

44<66

therfore the answer is 2 and 4

14.select the correct answerwhat is the sum of [tex]9.72 \times {10}^{8 \: and} 1.93 \times {10}^{7} [/tex]Answer options[tex]9.913 \times {10}^{7} [/tex][tex]9.913 \times 10 {}^{8} [/tex][tex]1.165 \times {10}^{8} [/tex][tex]1.165 \times {10}^{9} [/tex]

Answers

9.72 x 10⁸ + 1.93 x 10⁷

= 972 000000 + 193 00000

=991 300 000

= 9.913 x 10⁸

Simplify this equation −(4x−4)+4x−4

Answers

The equation -(4x - 4) + 4x - 4 is simplified as: -8.

How to Simplify an Equation?

An equation can be simplified using the necessary properties of equalities where possible to give an expression that is simplified compared to the original equation.

Given the equation, -(4x - 4) + 4x - 4, to simplify, start by applying the distributive property of equality to open the parentheses:

-(4x - 4) + 4x - 4 = -(4x) -(+4) + 4x - 4 [distribution property of equality]

-(4x - 4) + 4x - 4 = -4x - 4 + 4x - 4

Combine like terms

-(4x - 4) + 4x - 4 = -4x + 4x - 4 - 4

Simplify the equation

-(4x - 4) + 4x - 4 = 0 - 8

= -8

Therefore, -(4x - 4) + 4x - 4 = -8.

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Which ordered pair is a solution to the equation? y=7x-3 O only (14) O neither only (-1,-) both (1, 4) and (-1,-4)

Answers

The givenn equation can be written as

[tex]\begin{gathered} 7x-y=3 \\ On\text{ substituting (1,4) in the left hand side of the equation we get:-} \\ 7-4=3 \\ \text{which is equal to RHS} \end{gathered}[/tex][tex]\begin{gathered} \text{Now substitute (-1,-4) in LHS of the equation} \\ -7+4=-3 \\ \text{which is not equal to RHS.} \end{gathered}[/tex]

Hence only (1,4) satisfies the given equation.

So the correct option is the first one (1,4).

whats the simplest term of 9m-2(3m-1)

Answers

Answer:

[tex]3m+2[/tex]

Step-by-step explanation:

I'm assuming you mean: [tex]9m-2(3m-1)[/tex] and not: [tex](9m-2)(3m-1)[/tex]

So you simply need to know the Distributive Property, which allows you to expand out values being multiplied within parenthesis without adding the values first as such: [tex]A(B+C)=AB+AC[/tex]

Applying this to distribute the -2, we get: [tex]9m-6m+2[/tex]

Adding like terms we get: [tex]3m+2[/tex]

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