What is the 95% confidence interval estimate of the mean time it takes an individual to complete a federal income tax return (1 decimal)

Book 2 with 4 kg weight has the higher gravitational pull and the  pull decreases with increase in distance.

In Physics, the gravitational force is one of the types of forces. It is a force that attracts any two objects with mass. The gravitational force is also known as the attractive force, as it always pulls the masses of two objects together. Newton’s gravitational law states that every object in the universe is pulled by other objects. The other types of forces are electromagnetic force, strong force, weak force, and so on. The formula to calculate the gravitational force is given by Gravitational Force = (Gravitational Constant × Mass of first object × Mass of the second object) / (Distance between the centre of two bodies)².

Given here:

Book 1 has 2 kg textbook and Book 2 weighs 4 kg.

In the first case The gravitational pull when they were 2 cm apart is

F₁=    Gm₁m₂  / 2cm

  =0.00000133486 N

While if the two books are 8 cm apart we have

F₂= Gm₁m₂  / 8

  =0.0000000834288 N

clearly the gravitational pull decreases with the increase in distance.

And owing to Book 2's higher weight it has the superior gravitational pull.

Hence, Book 2 with 4 kg weight has the higher gravitational pull and the  pull decreases with increase in distance.

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The way Odysseus hides himself in the leaves to sleep is compared to the way a burning coal is buried deep in the embers to preserve a spark for the next day.

Odyssey, epic poem in 24 books traditionally attributed to the ancient Greek poet Homer. The poem is the story of Odysseus, king of Ithaca, who wanders for 10 years (although the action of the poem covers only the final six weeks) trying to get home after the Trojan War. On his return, he is recognized only by his faithful dog and a nurse. With the help of his son, Telemachus, Odysseus destroys the insistent suitors of his faithful wife, Penelope, and several of her maids who had fraternized with the suitors and reestablishes himself in his kingdom.

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Answer:

9 2/3

Step-by-step explanation:

Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

9 2/3

The equation relating x, y, and z is:

z = 0.5 * x * y.

In the given problem, the relationship between x, y, and z can be expressed by the equation z = k * x * y, where k represents the constant of proportionality. By substituting the values of x = 4 and y = 5, when z is equal to 10, we can determine the value of the constant of proportionality, k, and further define the relationship between the variables.

To find the constant of proportionality, we substitute the known values of x = 4, y = 5, and z = 10 into the equation z = k * x * y. This gives us the equation 10 = k * 4 * 5. By simplifying the equation, we have 10 = 20k. To isolate k, we divide both sides of the equation by 20, resulting in k = 0.5. Therefore, the equation relating x, y, and z is z = 0.5 * x * y, meaning that z is directly proportional to the product of x and y with a constant of proportionality equal to 0.5.

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The Solution:

Given:

Required:

Find the value of the given expression.

The value is:

Answer:

[option 4]

The probabilities of selection are;

1)  P(A) = 0.3

2) P(B) = 0.3

3) The number of times that the 10 letters are vowels or the letter T is; 6

4) p(A or B) = 0.6

5) P(A) + P(B) = 0.6

We are given the Index cards labeled as;

A, I, I, T, T, T, S, S, C, S.

Now, we are told that;

Event A  = the card drawn is a vowel.

Event B = the card drawn is the letter T.

1) P(A) which is the probability that a vowel is drawn out of the 10 digits is; P(A) = 3/10 = 0.3

2) We want to find P(B) which is the probability that the card drawn is the letter T. Thus;

P(B) = 3/10 = 0.3

3) The number of times that the 10 letters are vowels or the letter T is;

N = 3 + 3 = 6

4) If events A and B are mutually exclusive, then the probability of A or B is simply: p(A or B) = p(A) + p(B).

p(A or B) = 0.3 + 0.3 = 0.6

5) P(A) + P(B) = 0.3 + 0.3 = 0.6

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Answer:

A) (3x+6)-x-x

Step-by-step explanation:

Width of the door = (3x + 6) - x - x

Answer:

<RQP

Step-by-step explanation:

The vertex must either be the name of the angle or in the middle of the letters

<PQR  or <RQP

We can also just call it <Q since there is only one angle

Answer:$188

Step-by-step explanation:

Let the original price of the jacket be x

the original price is halfed... x/2

then $6 are reduced x/2 -6

and that is equal to $88

so...

x/2 - 6= 88

Transfer the 6

x/2=94

Transfer the 2

x=188

the original price was $188

The value of 56 kilos in units of pounds and stones is 123.5 lbs and 8.79 st respectively.

What is meant by units of measurement?

A unit of measurement is a specific magnitude of a quantity that has been established and recognised by law or convention and is used as a benchmark for measuring other quantities of the same kind. A multiple of the unit of measurement can be used to express any other quantity of that type.

The value of 1 kilo in pounds is

1kg = 2.205 lbs

The value of 1 kilo in stones is

1kg = 0.157 st

Given 56 kilos,

In pounds

56 kilos = 56 * 2.205 = 123.5 lbs

In stones,

56 kilos = 56 * 0.157 = 8.79 st

Therefore the value of 56 kilos in units of pounds and stones is 123.5 lbs and 8.79 st respectively.

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Answer:

the answer is 52.

Step-by-step explanation:

You have to do [(6+6+2)*(3)] + [(2)*(5)] to get your answer.

(6+6+2)=14

14*3=42

2*5=10

10+42=52

Answer:

52m^2

Step-by-step explanation:

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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the probability that the total of the two numbers is 4 if (a) the ball from the first pick is returned to the jar before the second pick is 1/12 and (b) the ball from the first pick is not returned to the jar before the second pick is 1/10.

(a) If the ball from the first pick is returned to the jar before the second pick:  the probability of randomly choosing ball numbered 1 on the first pick is: P(1) = 1/6. The probability of choosing ball numbered 3 on the second pick is: P(3) = 3/6 = 1/2. So, the probability of the sum of two numbers is 4 when the ball is drawn twice with replacement is: P(1, 3) = P(1) x P(3)= 1/6 × 1/2= 1/12

(b) If the ball from the first pick is not returned to the jar before the second pick:  the probability of choosing ball numbered 1 on the first pick is: P(1) = 1/6The probability of choosing ball numbered 3 on the second pick is: P(3) = 3/5So, the probability of the sum of two numbers is 4 when the ball is drawn twice without replacement is: P(1, 3) = P(1) x P(3)= 1/6 × 3/5= 1/10.

Therefore, the probability that the total of the two numbers is 4 if (a) the ball from the first pick is returned to the jar before the second pick is 1/12 and (b) the ball from the first pick is not returned to the jar before the second pick is 1/10.

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The data collected on turtle sex ratio, specifically the observation of more female turtles due to higher temperatures, can be classified as qualitative data. This is because it involves the categorization or classification of observations based on non-numerical characteristics.

Qualitative data refers to information that describes qualities or attributes and cannot be measured numerically. In the case of turtle sex ratio, the observation of more female turtles due to higher temperatures is a qualitative characteristic as it involves the classification of turtles based on their sex. The data is not expressed or measured in numerical values but rather in terms of categories or attributes.

In contrast, quantitative data involves the measurement or numerical representation of observations or variables. It includes data that can be expressed in numerical form and subjected to mathematical operations. For example, if the data collected included the actual count or percentage of male and female turtles, it would be considered quantitative data.

Therefore, the data collected on turtle sex ratio, indicating more female turtles due to higher temperatures, is classified as qualitative data due to its non-numerical nature and the categorization of observations based on attributes.

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Answer:

156!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

She was initially at a depth of 24.7 feet before she rose

Step-by-step explanation:

what is the rate of increase of the function f(x) = 1/3(^3 √24)^2x

Answer:

3π

Step-by-step explanation:

perimeter of a circle = its circumference

circumference of a circle = 2πr

circumference of a semicircle therefore = πr because a semicircle is 1/2 of a circle

the answer would then be 3π

Answer:

14.2

Step-by-step explanation: 99/9=11

11^2 + 9^2 =c^2

121 + 81 = c^2

The square root of 202 = c^2

14.2126704=14.2

14.2 =c

Answer:

14.2 is correct

Step-by-step explanation:

creds to guy

Answer:

49.65-50.35

Step-by-step explanation:

0.7% of 50 is 0.35. We can find the range by first subtracting that from 50 which is 49.65, then adding it to get 50.35.

Answer:

  6

Step-by-step explanation:

If x represents the last number, to get zero you must subtract 6 from it:

  x - 6 = 0

  x = 6 . . . . . . add 6 (undo the subtraction)

The last number before zero is 6.

On solving the provided question, we can say that equation has the greatest positive rate of change is  y = -4x+4

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

equation has the greatest positive rate of change is

y = -4x+4

as x and y are directly proportional

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Answer:

Step-by-step explanation:

12

No. of par-3 holes be represented by = 5

No. of par-4 holes be represented by = 8

No. of par-5 holes are represented by = 5

Total number of courses in the club= 18 (given in the question)

Total shot taken by golfer=72 (given in the question)

Let par-3 holes be represented by t

Let par-4 holes be represented by f

Let par-5 holes be represented by v

forming equations:

f+2=2v

t=v

f + v + t = 18

f+2=2v

f=2v-2 -(i)

t=v -(ii)

f + t + v=18

putting values from (i) and (ii)

(2v-2) + v + v=18

2v-2+2v=18

4v=18+2

4v=20

v=20/4

v=5

Number of par-5 holes=5

from (i)

f=2v-2

putting value

f=2(5)-2

f=10-2

f=8

Number of par-4 holes=8

from (i)

t=v-

putting value

t=5

t=5

Number of par-3 holes=5

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We have the next point: (-3, 5)

And we must find the equation of a vertical line that passes through the point.

To find the vertical line that passes through a point we must equal the equation for x to the x coordinate of the point and this will be the equation.

Now, in this case the equation of the vertical line is

Answer: c) 95.57

Step-by-step explanation:

rate of change is: \(\dfrac{f(15) - f(12)}{15-12}\)

f(15) = 0.01(2)¹⁵                  f(12) = 0.01(2)¹²

       = 327.68                           = 40.96

average rate of change = \(\dfrac{327.68-40.98}{15-12}\quad =\quad \dfrac{286.7}{3}\quad =\quad \large\boxed{95.57}\)

Answer:

There is no x-value that would lead to multiple y-values.

Step-by-step explanation:

PLATO answer

Answer:

i think is C

I'm not sure about it