Principle interviewed all math and english teachers and asked them to rank his school leadership on a scale of 1 to 10. He will use the result of the survey to report to his boss to show his school management abilities
1.Non response and household bias
2.Sampling and household bias
3.Response and non response bias
4.Response and sampling bias

The true population proportion of people with kids is between 0.0565 and 0.1835.

We are given that;

Number of people= 100

Percent= 95%

Now,

To construct a 95% confidence interval for the true population proportion of people with kids. Here are the steps to do so:

Find the sample proportion p. This is the ratio of the number of successes (people with kids) to the sample size. In this case, p = 12 / 100 = 0.12.

Find the z-value that corresponds to the 95% confidence level. You can use a table or a calculator to find this value. The z-value for a 95% confidence level is 1.96.

Find the standard error of the sample proportion. This is the standard deviation of the sampling distribution of p. You can use the formula √p (1-p) / n to find this value. In this case, the standard error is √0.12 (1-0.12) / 100 = 0.0324.

Plug these values into the formula for the confidence interval and simplify. You get:

Confidence interval = 0.12 +/- 1.96*0.0324 Confidence interval = 0.12 +/- 0.0635 Confidence interval = [0.0565, 0.1835]

Therefore, by proportions the answer will be 0.0565 and 0.1835.

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The distance between the points G and H is D = 8 units

Given data ,

Let the distance between 2 points be represented as D

Now , let the first point be G ( 0 , 8 )

Let the second point be H ( 8 , 8 )

Now , let the distance between G and H be D , where

D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

D = √ ( 0 - 8 )² + ( 8 - 8 )²

D = √64 units

D = 8 units

Hence , the distance is 8 units

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Answer:

B' ( -1,-4)

C' (-6,-5)

Step-by-step explanation:

Take each point and move it one unit left and then 3 units up.

Helping in the name of Jesus.

The rectangular shaped array with 3 rows and 4 columns is drawn

X X X X

X X X X

X X X X

Given data ,

Let the number of rows for the rectangle be r = 3

Let the number of columns for the rectangle be c = 4

So , when r = 3 and c = 4

X X X X

X X X X

X X X X

Hence , the rectangle shaped array is solved

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Тhе sum оf thе first 6 tеrms оf thе given sеquеncе is аpproximаtely 14.56.

First detеrmine thе common rаtio (r) аnd thе first tеrm (а1).

Eаch tеrm is obtаined by multiрlying thе prеvious tеrm by 1/3. Тherefоre, thе common rаtio is r = 1/3.

Тhe first tеrm is а1 = 12.

Now wе cаn use thе fоrmulа fоr thе sum оf а finite geоmetric series:

Sn = а1(1 - r^n) / (1 - r)

whеrе n is thе number оf tеrms.

Plugging in thе vаlues, wе gеt:

Sn = 12(1 - (1/3)^6) / (1 - 1/3) ≈ 14.55

Rounding to thе neаrest hundredth, wе gеt:

Sn ≈ 14.55 ≈ 14.56

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The amount of tax and deductions from the income is $229.21

From the question, we have the following parameters that can be used in our computation:

Gross income = $1,568

Net income = 1,338.79

Using the above as a guide, we have the following:

Deductions = Gross income - net income

Substitute the known values in the above equation, so, we have the following representation

Deductions = $1,568 - 1,338.79

Evaluate the expression

So, we have

Deductions = $229.21

Hence, the amount of tax and deductions from the income is $229.21

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Answer:is this actually a question!

Step-by-step explanation:

The expression to represent the given situation is M =30t.

Let's use the variable M to represent Susan's overall piano practice time over the course of t days.

Given that Susan practices the piano for 30 minutes every day, the sum of her practice time over the course of t days is:

M = 30t

As a result, M = 30t is the equation that describes the total amount of time Susan spends practicing the piano over the course of t days.

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Answer:I’m not so sure but I’m pretty sure it’s the 4th one?

Step-by-step explanation:

Answer:

Option b

Step-by-step explanation:

For x=1, y=-0.5

For x=0, y=2

For x=1, y=-7/2

Graphing the equation on the coordinate plane we get the second graph.

The length of each side of the tile with an area of 790 cm² correct to 3 significant figures is 28.1 cm.

Significant figures are the digits in a number that give a reliable accuracy of the quantity of a measurement.

The significant figures do not include the zeros immediately after the decimal place but those that occur between other numbers are regarded as significant.

The area of a square tile = Length x Length

= 790 cm²

The length of each side = √790 = 28.1069

= 28.1 cm

Thus, we can conclude that the length of each side of the square tile is 28.1 cm.

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The two lines will intersect after 3 months.

We can set the two expressions for y equal to each other:

400x + 700 = 300x + 1,000

100x + 700 = 1,000

100x = 300

x = 3

So the two lines will intersect after 3 months. In this case, to find the corresponding value of y, we can substitute x = 3 into either of the equations:

y = 400x + 700

y = 400(3) + 700

y = 1,500

Therefore, the two lines will intersect after 3 months, at a point with coordinates (3, 1,500).

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Answer: 14 and 14

Step-by-step explanation:

So u would Since 13 and 14 are both consecutive integers and their sum is 27, we have our answer.

The pair of equivalent expressions that represent the sale price for any one item is  0.75m and m-1/4m. Option C

The sale price of an item is the regular price minus 1/4 of the regular price. This can be represented as:

sale price = regular price - (1/4)regular price

Simplifying this expression, we get:

sale price = (3/4)regular price

Therefore, the sale price for any one item can be represented as 0.75m, which is equivalent to option C.

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The statement that explains the validity of the sampling procedure used by the company is the company applied the same procedure to all three locations and used random sampling to select the times to collect data. The Option A is correct.

The procedure used is valid because they applied the same procedure to all three locations and used random sampling to select the times to collect data.

By using the random sampling, they ensured that they were selecting a representative sample of the entire population of mall visitors.

Also, by applying same procedure to all three locations, they ensured that they were collecting comparable data and this helps to increase the generalizability of their findings and make their decision-making process more reliable.

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B.

B, is the true comparison

Answer:

Step-by-step explanation:

Quadratic form:

ax²+bx+c

>We are going to work backwards from getting an equation and then solving for the x's.

>From a graph, you are given your x's.

>Put those x's (x-intercepts)  into factored form.

Red:

x  = -7            >add 7 to both sides

x+7 = 0

x = -5            >add  5 to both sides

x+5=0

x+5   and x+7    are your factors

y= (x+5)(x+7)   >FOIL

y=x²+7x+5x+35

y=x²+12x+35     for RED

Blue:   follow same pattern as RED

x= -4               and                x=-2

(x+4)=0                                (x+2)=0

-(x+4)(x+2)              There is a negative in front because this one is facing

                               down

-(x²+6x+8)               FOILED and simplified, now distribut negative

y= -x²-6x-8       BLUE

Green:

x=-1      x=1

y=(x+1)(x-1)               FOIL and simplify

y=x²-1    GREEN

Orange:

x= 2   x=4

-(x-2)(x-4)

-(x²-6x+8)

y= -x²+6x-8      ORANGE

Purple:

x=5    x=7

(x-5)(x-7)

y=x²-12x+35    PURPLE

Using Pythagorean's theorem we can see that the variables are:

t = 13.86

w = 12.81

Remember that for any right triangle, Pythagorean's theorem says that the sum of the squares of the legs is equal to the square of the hypotenuse, where the hypotenuse is the side opposite to the 90° angle.

Then for the first triangle we can write:

t² + 8² = 16²

Solving for t:

t = √(16² - 8²) = 13.86

For the second triangle we have:

10² + 8² = w²

Solving for w:

w = √(10² + 8²)

w = 12.81

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The coordinates of the solution that lies in quadrant I are

In order to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

x² + 4y² = 100    ......equation 1.

4y - x² = -20  ......equation 2.

In this exercise, we would use an online graphing calculator to plot the given system of equations as shown in the graph attached below.

Based on the graph shown in the image attached below, we can logically deduce that the solution to this system of equations is the point of intersection of the lines on the graph representing each of them, which lies in Quadrant I and it is given by the ordered pair (6, 4).

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Answer:

-4/3

Step-by-step explanation:

-1.33333333333 or -1 1/3

Answer:

26.5

Step-by-step explanation:

The formula for the area of a trapezoid is:

A = (1/2)h(b₁ + b₂)

where h is the height, b₁ and b₂ are the lengths of the parallel bases.

Substituting the given values:

A = (1/2)(4.3 m)(9.2 m + 3.2 m)

A = (1/2)(4.3 m)(12.4 m)

A = 26.52 m²

Rounding to the nearest tenth:

A ≈ 26.5

Therefore, the area of the trapezoid is approximately 26.5 square meters.

The probability of spinning an even number on the spinner is 40%.

The probability of picking a diamond from a standard deck of playing cards is 25%.

P(even) = number of even sections / total number of sections

= 2/5

= 0.4

= 40%

Therefore, the probability of spinning an even number on the spinner is 40%.

P(diamond) = number of diamonds / total number of cards

= 13/52

= 1/4

= 0.25

= 25%

Therefore, the probability of picking a diamond from a standard deck of playing cards is 25%.

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Answer:2.7

Step-by-step explanation:

Formula, divide the value in centimeters by 100 so 1 meter equals 100 centimeters

So 270 centimeters = 270/100 = 2.7

The minimum sample size required to construct a 95% confidence interval for the population mean is 16.

To determine the minimum sample size required to construct a 95% confidence interval for the population mean circumference of tennis balls within 0.05 inch, we need to use the formula for the margin of error:

Margin of error = Z* (σ/√n)

Where Z* is the z-score corresponding to the desired confidence level, σ is the population standard deviation, and n is the sample size.

Since we want a 95% confidence interval, Z* = 1.96 (from a standard normal distribution table).

We are given that σ = 0.10 inch and we want the margin of error to be 0.05 inch. Plugging in the values, we get:

0.05 = 1.96 * (0.10 / √n)

Solving for n, we get:

n = [(1.96 * 0.10) / 0.05]² = 15.36

We can't have a fractional sample size, so we round up to the nearest whole number. Therefore, the minimum sample size required is 16.

This means that the manufacturer needs to randomly select and measure the circumferences of at least 16 tennis balls to estimate the population mean circumference with 95% confidence and a margin of error of 0.05 inch.

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a) The principal of the account is given as follows: 1238.27 euros.

b) The interest rate of the account is given as follows: 4.3%.

The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are listed and explained as follows:

We can take the ratio between the balances two consecutive years to obtain the interest rate as follows:

r = 1569.4/1504.5 - 1

r = 1.0431 - 1

r = 0.043

r = 4.3%.

After 5 years, the balance was of 1504.50, hence the principal is obtained as follows:

1504.5 = P(1 + 0.043 x 5)

P = 1504.5/(1 + 0.043 x 5)

P = 1238.27 euros.

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The best interpretation is  the product of the cube root of 2.07 and the age of the mammal

h = 37.8 (2.07t)³ + 78.6

Now, let's analyze the term (2.07t)³:

Based on this analysis, the best interpretation of (2.07t)³ is:

B. the product of the cube root of 2.07 and the age of the mammal

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To find the percentage of Farmer Gibson's herd that remains after he sold 60 cows, we need to calculate the new total number of cows he has.

Number of cows remaining = Total number of cows - Number of cows sold

Number of cows remaining = 200 - 60

Number of cows remaining = 140

So, Farmer Gibson has 140 cows remaining in his herd.

To find the percentage of cows remaining, we can use the following formula:

Percentage = (Number remaining ÷ Total number) x 100

Plugging in the values we have:

Percentage = (140 ÷ 200) x 100

Percentage = 0.7 x 100

Percentage = 70%

Therefore, Farmer Gibson has 70% of his herd remaining after selling 60 cows.

~~~Harsha~~~

Answer:

∠ A ≈ 75.96°

Step-by-step explanation:

using the tangent ratio in the right triangle

tanA = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{8}{2}[/tex] = 4 , then

∠ A = [tex]tan^{-1}[/tex] ( 4 ) ≈ 75.96° ( to the nearest hundredth )

Answer: A

Step-by-step explanation: complementary is 180 that’s the angle is A. Supplementary is 90 so that’s incorrect.