Find the Margin of error and 95% of confidence interval for the survey result described.according to a poll of 705 people, about one third (34%) of Americans keep a dog for protection

Answer:The range rule of thumb states that the standard deviation (s) is approximately equal to the range (R) divided by 4, where the range is the difference between the maximum and minimum values of a data set.

Using this formula, we can estimate the standard deviation of the heights as:

s = R / 4 = (192.5 - 152.0) / 4 = 20.625 / 4 = 5.156 cm

Comparing this estimate to the actual standard deviation of 12.22 cm, we see that the estimate is off by a factor of approximately 2.37.

Since the estimate is not within 1.7 cm of the actual standard deviation, it suggests that the range rule of thumb is not a very accurate way to estimate the standard deviation of this data set. The standard deviation calculated using the full set of data is much larger than the estimate, which means that the spread of the data is greater than what would be expected based on the range rule of thumb.

Answer:

The closest measurement is 15.7

Step-by-step explanation:

The formula for circumference is \(2\pi r\)

The diameter is double the radius, so to get the radius we divide by 2.

5 divided by 2 is 2.5

Knowing "r" is 2.5 we can plug that into our equation and solve.

2 · \(\pi\) · 2.5 ≈ 15.71

The closest measurement is 15.7

One possible explanation for the difference in the number of water tanker deliveries to the construction site in the two-month period could be a change in weather conditions .

If the weather was particularly dry and hot during the first month , it could have increased the demand for water and resulted in more frequent deliveries .

However , if the weather became cooler and wetter during the second month, the demand for water may have decreased , leading to fewer water tanker deliveries .

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The rest of the question is:

The rate of fuel consumption of the Mercedes water tanker averages 5 km/t. The prices of fuel per litre in March and June 2022 appear below.

MARCH 2022 FUEL PRICES DIESEL

50 ppm

COST

R19,55

JUNE 2022 FUEL PRICES

DIESEL

50 ppm

Give ONE possible explanation on what could have led to the difference in the number of water tanker deliveries to the construction site in the two month period.

We know that 22.7% of this amount is used for cooking,the family uses 300.001 gallons of water every day.

What is gallons?

Gallon is a unit of measurement used to quantify liquid volume in both the US customary and British imperial systems of measurement.

Let's start by using algebra to solve the problem.

Let x be the total amount of water the family uses every day. We know that 22.7% of this amount is used for cooking, which means:

0.227x = 68.1

To solve for x, we can divide both sides of the equation by 0.227:

x = 68.1 ÷ 0.227

x = 300.001 (rounded to three decimal places)

Therefore, the family uses 300.001 gallons of water every day.

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A reflection over a line l  moves every point P  of the plane to the point P ′  on the perpendicular from  P to the line l and on the same distance from l .

If the line is the  x  -axis, a point P  =  ( p 1   p 2 )  moves to the point  P ′  =  ( p 1 , − p 2 ) .

The image of the triangle A B C  is the triangle  A ′ B ′ C ′ with  B ′  =  ( 9 , − 5 )

The ordered pair (3, 4) will satisfy the inequality 3x-4y>12.

The given inequality is 3x-4y>12 and the ordered pair is (x, y).

We need to find the ordered pairs that satisfy the inequality 3x-4y>12.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

The ordered pair (x,y) which satisfies the inequality will be the values of x and y that satisfies the inequality given 3x-4y>12.

Now, 3x=12 ⇒x=4 and 4y=12⇒y=3.

So, 3(4)-4(3)>12⇒12-12>12

⇒0>12

Hence, the ordered pair (3, 4) will satisfy the inequality 3x-4y>12.

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Answer:

the are so many numbers but here's one of them

Step-by-step explanation:

Since the number is less than 700, it cannot begin with a 7 or an 8.

So the hundreds digit can only be a 2 or a 5.

Now the tens digit can be any digit not occupying the hudreds digit. So there would be 3 possibilities, and there remain two possibilities for the units digit.

Hence, the number of such numbers is 2x3x2 which is 12.

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 will be 150.

A sample is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

The number of two-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5

⇒ 25

The number of three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5 x 3

⇒ 125

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 125 + 25

⇒ 150

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Answer:

2z-4

Step-by-step explanation:

By using distributive property, 2/3 * 3z =  2z and 2/3 * -6 = -4

This means the answer is 2z-4

\(Answer: \large\boxed{2z-4}\)

Step-by-step explanation:

To solve:

\(\frac{2}{3} (3z-6)\)

We must use the distributive property and distribute 2/3 to the 3z and -6

...

\(\frac{2}{3} (3z-6)\)

\(=\frac{2}{3} (3z) + \frac{2}{3} (-6)\)

\(=\frac{6z}{3} + -\frac{12}{3}\)

\(=2z-4\)

Answer:

a)  $497.70

b)  392.4 square feet

c)  $1,200

Step-by-step explanation:

A regular octagon has 8 sides of equal length.

Given each side of the octagon measures 9 feet in length, and one side does not have a railing, the total length of the railing is 7 times the length of one side:

\(\textsf{Total length of railing}=\sf 7 \times 9\; ft=63\;ft\)

If the railing sells for $7.90 per foot, the total cost of the railing can be calculated by multiplying the total length by the cost per foot:

\(\textsf{Total cost of railing}=\sf 63\;ft \times \dfrac{\$7.90}{ft}=\$497.70\)

Therefore, the cost of the railing is $497.70.

\(\hrulefill\)

To find the area of the regular octagonal gazebo, given the side length and apothem, we can use the area of a regular polygon formula:

\(\boxed{\begin{minipage}{6cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{n\;s\;a}{2}$\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the length of one side.\\ \phantom{ww}$\bullet$ $a$ is the apothem.\\\end{minipage}}\)

Substitute n = 8, s = 9, and a = 10.9 into the formula and solve for A:

\(\begin{aligned}\textsf{Area of the gazebo}&=\sf \dfrac{8 \times 9\:ft \times10.9\:ft}{2}\\\\&=\sf \dfrac{784.8\;ft^2}{2}\\\\&=\sf 392.4\; \sf ft^2\end{aligned}\)

Therefore, the area of the gazebo is 392.4 square feet.

\(\hrulefill\)

To calculate the cost of the gazebo's flooring if it costs $3 square foot, multiply the area of the gazebo found in part (b) by the cost per square foot:

\(\begin{aligned}\textsf{Total cost of flooring}&=\sf 392.4\; ft^2 \times \dfrac{\$3}{ft^2}\\&=\sf \$1177.2\\&=\sf \$1200\; (nearest\;hundred\;dollars)\end{aligned}\)

Therefore, the cost of the gazebo's flooring to the nearest hundred dollars is $1,200.

a. To find the perimeter of the gazebo, we can use the formula P = 8s, where s is the length of one side. Substituting s = 9, we get:

P = 8s = 8(9) = 72 feet

Since one side is open, we only need to find the cost of railing for 7 sides. Multiplying the perimeter by 7, we get:

Cost = 7P($7.90/foot) = 7(72 feet)($7.90/foot) = $4,939.20

Therefore, the cost of the railing is $4,939.20.

b. To find the area of the gazebo, we can use the formula A = (1/2)ap, where a is the apothem and p is the perimeter. Substituting a = 10.9 and p = 72, we get:

A = (1/2)(10.9)(72) = 394.56 square feet

Therefore, the area of the gazebo is 394.56 square feet.

c. To find the cost of the flooring, we need to multiply the area by the cost per square foot. Substituting A = 394.56 and the cost per square foot as $3, we get:

Cost = A($3/square foot) = 394.56($3/square foot) = $1,183.68

Rounding to the nearest hundred dollars, the cost of the flooring is $1,184. Therefore, the cost of the gazebo's flooring is $1,184.

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Answer:

Step-by-step explanation:

1) find the total candies

7 + 8 + 5 + 9 = 29

2) a probability can be expressed with a fraction whose denominator is the total candies, while the numerator represents the candies that we want to find

- red = 7/29

- blue = 8/29

- yellow = 5/29

- green = 9/29

3) compound probability

(red + blue)/29 = 15/29

(yellow + green)/29 = 14/29

(blue + yellow + green)/29 = 22/29

Using the normal distribution, it is found that 95.65% of full term newborn female infants with a head circumference between 31 cm and 36 cm.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation are given, respectively, by:

\(\mu = 33.8, \sigma = 1.2\)

The proportion of full term newborn female infants with a head circumference between 31 cm and 36 cm is the p-value of Z when X = 36 subtracted by the p-value of Z when X = 31, hence:

X = 36:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{36 - 33.8}{1.2}\)

Z = 1.83

Z = 1.83 has a p-value of 0.9664.

X = 31:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{31 - 33.8}{1.2}\)

Z = -2.33

Z = -2.33 has a p-value of 0.0099.

0.9664 - 0.0099 = 0.9565.

0.9565 = 95.65% of full term newborn female infants with a head circumference between 31 cm and 36 cm.

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Answer:

15.06

Step-by-step explanation:

Substituting this value into the first equation gives us b + 2.94 = 18, so b = 15.06 hours. Since Karen can only work whole hours, she must have worked 15 hours babysitting and 3 hours giving music lessons.

The probability that after 400 flips the game piece is no more than 10 steps away from the starting position is approximately 0.6827.

This problem can be solved using the Central Limit Theorem. Let's define X as the number of steps the game piece moves to the right, and Y as the number of steps it moves to the left. Since the coin is fair, we have X ~ Binomial(400, 0.5) and Y ~ Binomial(400, 0.5), and X and Y are independent.

The position of the game piece after 400 flips is given by X - Y. Let's define Z = (X - Y - 200) / sqrt(400 × 0.5 × 0.5), which is the standardized form of the position. We subtract 200 from X - Y to center the distribution at zero (the starting position), and divide by the standard deviation, which is sqrt(n × p × (1 - p)) = 10.

Now, we want to find P(|X - Y - 200| <= 10) = P(-1 <= Z <= 1), which is approximately 0.6827 by the Standard Normal Distribution Table.

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Answer:

  B)  15/17

Step-by-step explanation:

You want the sine of acute angle A in the right triangle shown.

The sine of the angle is the ratio ...

  Sin = Opposite/Hypotenuse

We can go to the trouble to figure the hypotenuse, or we can choose the only suitable answer from the list provided. (It is the one marked already.)

The leg lengths of the triangle shown are 8 and 15, with leg 15 being opposite angle A. This is the first clue that the ratio will have 15 in the numerator. Only answer choice B matches.

The value of the sine function is never greater than 1, eliminating answer choices A, C, and E, leaving choices B and D.

Since the side opposite angle A is the longest of the two legs, we know that angle A is more than 45°, and its sine is more than √2/2. That means choice D can be eliminated, since it is less than 1/2.

The sine of angle A is 15/17.

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Answer:

GH = 15

Step-by-step explanation:

In a trapezoid, the length of the median is one-half the sum of the lengths of the bases. Therefore:

\(9x - 3 = \frac{1}{2} (19 + 5x + 1)\)

\(18x - 6 = 5x + 20\)

\(13x = 26\)

\(x = 2\)

\(9(2) - 3 = 18 - 3 = 15\)

Answer:

The answer is y+3/12

Step-by-step explanation:

Subtract fractions, find the LCD and then combine.

Hoped this helped!

Could I perhaps have brainly?

Answer:

$4080

Step-by-step explanation:

65% = .65  

$7200 x .65 = $4080

Manuel payed $4080 for the car.

hope this helps :)

Answer:

C. 0

Step-by-step explanation:

Since we are finding f(-4), we use the first function since -4 is less than -2.

f(-4) = (-4) + 4 = 0

Therefore, the answer is C.

Answer:

x° = 41.8°

Step-by-step explanation:

Use trigonometric functions to calculate angles from side lengths.

sOH - cAH - tOA.

Sine:  Opposite/Hypotenuse
Cosine:  Adjacent/Hypotenuse
Tangent:  Opposite/Adjacent

sin(x°) = 4/6

\(x=sin^-1(\frac{2}{3} )\)

x° = 41.8°

Answer:

C x<4

Step-by-step explanation:

get x by itself

-x>3-7

-x>-4

dividing by a negative number with inequalities means you have to flip the sign

x<4

Answer:

x-29/2

Step-by-step explanation:

Answer:

B) 5mm, 3mm, 7mm

Step-by-step explanation:

Triangles can only be formed when the sum of each two sides of the triangle is greater than the other side.

A.

\(6cm+9cm>2cm\)

\(9cm+2cm > 6cm\)

\(6cm+2cm < 9cm\) <-

Because \(6cm+2cm < 9cm\), ∴ Option A cannot form a triangle.

B.

\(5mm+3mm > 7mm\)

\(5mm + 7mm > 3mm\)

\(3mm+7mm > 5mm\)  

Because all combinations satisfy, ∴ Option B can form a triangle.

C.

\(4cm+8cm > 3cm\)

\(8cm+3cm > 4cm\)

\(4cm+3cm < 8cm\) <-

Because \(4cm+3cm < 8cm\), ∴ Option C cannot form a triangle.

D.

\(5mm + 2mm > 1mm\)

\(5mm+1mm>2mm\)

\(1mm+2mm<5mm\) <-

Because \(1mm+2mm<5mm\), ∴ Option D cannot form a triangle.

Hope this helps :)

Step-by-step explanation:

sin A = opposite/ Hypotenuse

Sin A = 5/7

Hello !

sin(A) = opposite/hypotenuse = 5/7

arcsin(5/7)  ≈ 45,58°

sin(A) = 5/7

the angle A ≈ 45,58°

Answer:

10:2, 15:3, 20:4, etc.

Step-by-step explanation:

Well just keep going, they all simplify back to 5:1

The required equivalent ratios are,

\(10:2\\15:3\\20:4\\\)

Equivalent ratios are the ratios that are the same when we compare them. Two or more ratios can be compared with each other to check whether they are equivalent or not.

For example, 1:2 and 2:4 are equivalent ratios.

The given ratio is,

\(5:1\)

Now, as we know that we can convert the given ratio into fractions.

\(\frac{5}{1}\)

Now, for finding the equivalent ratios multiply the same constant in both the numerator and denominator.

So, the required ratios are,

\(\frac{5\times2}{1\times 2} =\frac{10}{2}=10:2\\ \frac{5\times3}{1\times 3} =\frac{15}{3}=15:3\\\frac{5\times4}{1\times 4} =\frac{20}{4}=20:4\\\)

And so, on.

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The ideal congressional district size (Standard Divisor) in 1790 was 34437.33.

The number of persons each House of Representatives seat represents is known as the "Standard Divisor" (SD). By dividing the total population of all the states by the total number of seats available for voting, the SD is determined. SD is calculated as Total U.S. Population / Total Number of Voting Seats.

The ratio of the entire population to the available seats (or other allocations) is known as the standard divisor. • The Hamilton system divides up any extra seats among the states with the largest fractional parts after allocating each state its lower quota initially.

Given,

population in 1790 was 3,615,920,

number of objects = 105

⇒ Standard divisor = total population / number of objects

⇒ Standard divisor = 3,615,920 / 105

⇒ Standard Divisor = 34437.33

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Answer:Look

Step-by-step explanation: Look and solve its not that hard

Answer:

∠ B ≅ ∠ E

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent

ABC ≅ DEF

The corresponding angles are B and E

Answer:

The answer is \(\angle B\cong \angle E\)

Step-by-step explanation:

Given that

\(\Delta ABC \cong \Delta DE\)\(F\)

Hence corresponding angles are congruent

\(\angle B\cong \angle E\)