The superintendent of a large school district wants to estimate the percent of district residents who support the building of a new middle school. To gather data, the superintendent will select a random sample of district residents.Which of the following is the most appropriate method for creating such an estimate? *
A one-sample z -interval for a sample proportion
A two-sample z -interval for a difference between population proportions
A two-sample z -interval for a population proportion
A one-sample z -interval for a difference between population proportions
A one-sample z -interval for a population proportion

Answer:

y = 1/2x - 3.5

Step-by-step explanation:

so lets start by finding the equation of the line AB

we know the y-intercept is 4 from the point 0,4 so we know it'll look something like this

y = mx + 4 and we can plug in the other point we know -> 0 = m(-2) + 4  -> 4 = m(-2) -> m = -2 so the full equation of the line is y = -2x + 4

ok now we can find the other line. we know that perpendicular lines have an opposire reciprocal slope so in this case -2 would turn into 1/2

y = 1/2x + b

now lets plug in point C

-1 = (1/2)(5) + b

-1 - (2.5) = b

-3.5 = b

so the equation is y = 1/2x - 3.5

Answer:

[tex]y=-\dfrac12 x + \dfrac32[/tex]

Step-by-step explanation:

Equation of line AB:

Let A = [tex](x_1,y_1)[/tex] = (-2, 0)

Let B = [tex](x_2, y_2)[/tex] = (0, 4)

Use equation of slope to find slope m:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4 -0}{0+2}=2[/tex]

Use point-slope form for linear equation:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y-0=2(x+2)[/tex]

[tex]\implies y =2x+4[/tex]

Equation of line passing through C

If the line that passes through C is perpendicular to AB, then their slopes will be opposite reciprocals of each other.

⇒ [tex]m=\dfrac{-1}{2}=-\dfrac12[/tex]

Use point-slope form for linear equation and [tex](x_1,y_1)[/tex] is point C:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y+1=-\dfrac12 (x-5)[/tex]

[tex]\implies y=-\dfrac12 x + \dfrac32[/tex]

Answer:

D) x + y = 20

9x + 6y = 168

Step-by-step explanation:

x, y, is in pound, the weight

$168 is money, $9, $6

thankss for the point and i appreciate if mark my answer as brainliest <3

Answer:

Step-by-step explanation:

Given:

Required equations:

Answer: 5

Step-by-step explanation:

Answer:

hola

Step-by-step explanation:

cómo estás yo bien compita

Answer:

yes

Step-by-step explanation:

there is because in the graph your trying to figure out man idek how to word it you got it from here

Answer:

I would use addition, subtraction, multiplication, and division in terms of taxes, interest rates, my fixed salaries, and so forth. And dividing rational numbers would be like 10% of the interest rate or 11% of the interest rate. I can also simplify the algebraic expressions to make the terms easier for me in my head.

Step-by-step explanation:

I would use addition, subtraction, multiplication, and division in terms of taxes, interest rates, my fixed salaries, and so forth. And dividing rational numbers would be like 10% of the interest rate or 11% of the interest rate. I can also simplify the algebraic expressions to make the terms easier for me in my head.

Answer: 29

Step-by-step explanation:

4y + 4 + 60 = 180

4y = 116

y = 29

Answer: 7 3/5 + 2 1/2 = 10 1/10

Step-by-step explanation:

Write the fractions to have like denominators to make it easier to add.

7 3/5 will become 7 6/10

2 1/2 will become 2 5/10

Rewrite them as improper fractions:

7 6/10 will become 76/10

2 5/10 will become 25/10

Now add.

76/10+25/10=101/10

Rewrite the sum as a mixed number

101/10 will become 10 1/10

Answer:

Solving an Inverse Variation Problem

-Write the variation equation: y = k/x or k = xy.

-Substitute in for the given values and find the value of k.

-Rewrite the variation equation: y = k/x with the known value of k.

-Substitute the remaining values and find the unknown.

Step-by-step explanation:

yeah

Answer:

Jack ran 1/4 of a mile.

Step-by-step explanation:

Step-by-step explanation:

jack ran 1/4 of a mile more than jack did

The value of x is [tex] \frac{1}{4} [/tex]

Step-by-step explanation:

Given:

[tex] \sqrt{x} + \sqrt{x + 2} = 2[/tex]

Rearranging the radical on left side,

[tex]\sqrt{x + 2} = 2 - \sqrt{x}[/tex]

Power on both sides,

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

Simplifying the left,

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

For the RHS equation, use the property of (a-b)² = (a²-2ab+b²),

[tex] = > x + 2 = {2}^{2} - (2 \times 2 \sqrt{x}) + ( \sqrt{x})^{2} [/tex]

Now calculating its powers,

[tex] = > x + 2 = 4 - 4\sqrt{x} + x[/tex]

Now sending -4√x to the LHS (left side), its sign becomes plus (+),

[tex] = > 4 \sqrt{x} = 4 + x - x - 2[/tex]

Now the +x and -x will be cancelled,

[tex] = > 4 \sqrt{x} = 4 - 2[/tex]

[tex] = > 4 \sqrt{x} = 2[/tex]

Bringing 4 to the right side, it becomes the denominator,

[tex] = > \sqrt{x} = \frac{2}{4} [/tex]

[tex] = > \sqrt{x} = \frac{1}{4} [/tex]

Now powering both sides,

[tex] = > ( \sqrt{x})^{2} = ( \frac{1}{2})^{2}[/tex]

[tex] = > x = \frac{1}{4} [/tex]

Answer: 18

Step-by-step explanation:

We want to find out how many letters each postman can sort in an hour to make the process easier. Since we're already told that 10 postmen can sort 500 letters in 30 minutes, we can use that info to find that each postman can sort 100 letters per hour as 10 postmen would be able to sort 1000 letters in 1 hour.

Then, we can apply this info to find out how many postmen can sort 600 letters in 20 minutes. We can multiply the time and task each by 3 to find that this is the same rate as sorting 1800 letters in 1 hour, so the answer is 18 postmen.

Answer:

Solve for

x

by simplifying both sides of the equation, then isolating the variable.

x = −20

Step-by-step explanation:

branliest

Answer: -101/18

Step-by-step explanation: I think, I don’t know

Answer:

Step-by-step explanation:

We need to solve in the most hard way.

Equation simplified:

Solve left to right:

If we solve this separately, starting with 2 1/4 * 4/5 without dividing 3/5, we would be doing it wrong.

If we do it like this, we would get the correct answer.

2 1/2 is the answer.

Rs.13680 is the answer.

Step-by-step explanation:-

Given-

•Principal (P) = Rs.57,000

•Rate (r%) = 6%

[tex]→ \frac{6}{100} [/tex]

[tex]→ 0.06[/tex]

•Time (n) = 4 years

Applying Interest formula,

[tex]→In=P \times R \times T[/tex]

[tex]→57,000 \times 0.06 \times 4[/tex]

[tex]→Rs.13680[/tex]

Hence, the interest is Rs.13680

Answer:

A) precision

Step-by-step explanation:

Hope this helps ! :)

Answer:

[tex]cos(\theta)=\frac{\sqrt{11}}{6}[/tex]

Step-by-step explanation:

hope this helps :)

Answer:

i) Area = 25 m²

ii) slope of roof = 36.87°

Step-by-step explanation:

(i)  Let the midpoint of AB = M

Find BC by using Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse of a right triangle)

Legs = MB and MC, hypotenuse = BC

⇒ 1.5² + 2² = BC²

⇒ 6.25 = BC²

⇒ BC = √(6.25) = 2.5

Area of a rectangle = width x length = BC x BE

⇒ area of BCFE = 2.5 x 5 = 12.5

⇒ area of ACFD = area of BCFE = 12.5

Therefore area covered by tiles = 12.5 + 12.5 = 25 m²

ii)

The angle of the slope of the roof will be angle ∠B of the right triangle ΔCMB.

Using sin(A)/a = sin(B)/b = sin(C)/c

sin(90)/2.5 = sin(B)/1.5

0.4 = sin(B)/1.5

0.6 = sin(B)

∠B = 36.87°

Answer:

83.33%

Total no. of students = 720

No. of students who failed = 120

Therefore no. of students passed = 720 120= 600

Therefore pass percentage = 600/720* 100 = 83.33%

Step-by-step explanation:

I hope it will help you...

[tex]kai6417[/tex]

#carryonlearning

[tex]% = \frac{parts}{whole} * 100%[/tex]Answer:

Step-by-step explanation:

Hi there,

I have given the answer in the images attached below in order , please do check it out.

If you found my answer helpful please do consider marking me as brainliest as that would mean a lot to me.[tex]e[/tex]

Circle graphs are used to represent data in percentages and proportions

There are 25 salads in the restaurant shelf

From the question, we have:

So, the total number of salad is:

n * 60% = 15

Divide both sides by 60%

n = 25

Hence, there are 25 salads in the restaurant shelf

Read more about circle graphs at:

https://brainly.com/question/24461724

Answer:

[tex]x=-4\pm2\sqrt{5}[/tex]

Step-by-step explanation:

[tex]2x^2+16x-8=0\\\\x^2+8x-4=0\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\x=\frac{-8\pm\sqrt{(8)^2-4(1)(-4)}}{2(1)}\\ \\x=\frac{-8\pm\sqrt{64+16}}{2}\\\\x=\frac{-8\pm\sqrt{80}}{2}\\ \\x=\frac{-8\pm4\sqrt{5}}{2}\\ \\x=-4\pm2\sqrt{5}[/tex]

Answer:

x = 65.38°

using cosine rule:

Answer:

2/10= 0.2

10/2= 5

Is this what u are looking for?

Answer:

A=40

Step-by-step explanation:

5+8=13

104/13=8

5*8=40

8*8=64

A=40

Answer:

D. -3x+3y

Step-by-step explanation:

Start by distributing the -3 to each term in the parentheses:

-3(x)+(-3)(-y)

Here are some multiplication sign rules that will make this problem easier:

- - make a +

- + make a -

+ - make a -

+ + make a +

-3x+3y (note that since both 3 and y are negative, they make a positive)

Answer:

(1) The first quartile of standard normal distribution is -0.67.

(2) The third quartile of standard normal distribution is 0.67.

(3) The percentage of the observations in the standard normal distribution that are suspected outliers is, 0.74%.

Explanation:

A standard normal distribution has mean 0 and variance 1.

(1)

The first quartile of any data is the value below which 25% of the data lie.

That is, P (Z < z) = 0.25.

The value of z is -0.67.

Thus, the first quartile of standard normal distribution is -0.67.

(2)

The third quartile of any data is the value below which 75% of the data lie.

That is, P (Z < z) = 0.75.

The value of z is 0.67.

Thus, the third quartile of standard normal distribution is 0.67.

(3)

In case of a standard normal distribution values lying outside the range

(Q₁ - 1.5 IQR, Q₃ + 1.5 IQR)

are considered as outlier.

Compute the range as follows:

Compute the probability of (Z < -2.68) and P (Z > 2.68) as follows:

The probability of a value being an outlier is,

P (Outlier) = P (Z < -2.68) + P (Z > 2.68)

                = 0.0037 + 0.0037

                = 0.0074

The percentage of the observations in the standard normal distribution that are suspected outliers is, 0.0074 × 100 = 0.74%.

Step-by-step explanation:

Hope this helped...

Answer:

Step-by-step explanation:

2.5 Cubic Meters =2500000 Cubic Centimeters

(1m³ = 1000000cm³)

The approximate cost of the banner which is charged by print shop before tax is 92.30.

The cost price per unit is the amount of money required to buy one uni of a brand or goods.

To find the cost price per unit, divide the total amount of cost of the goods to the total number of goods.

The length of the sides of parallelogram banner which order by Jace is 9 feet and the length of the bottom side is 12 feet.  

The length of the diagonal is 19 ft. The parimeterof the triangle made by this sides is,

[tex]s=\dfrac{9+12+19}{2}\\s=20[/tex]

Using Heron's formula, the area of this triangle is,

[tex]A=\sqrt{20(20-9)(20-12)(20-19)}\\A=\sqrt{20\times11\times8\times1}\\A=41.95\rm ft^2[/tex]

Now the area of the banner is,

[tex]A=41.95\times2\\A=83.90\rm ft^2[/tex]

The print shop charges $1.10 per square foot for banners of any shape and size.Thus, the charge of the banner with area 108 square foot is,

[tex]P=1.10\times83.90\\P=92.29\\P\cong92.30[/tex]

Thus, the approximate cost of the banner which is charged by print shop before tax is 92.30.

Learn more about the cost price per unit here;

https://brainly.com/question/18628158