Which one is a prime number 8?.

Answers

Answer 1

The given number 8 is not a prime number.

Given that,
To justify whether the number 8 is a prime number or not.

What is prime numbers?

A prime number is a whole number bigger than one with just the number one and itself as factors.

Here,
A prime number is given as 1,2, 3,5, 7, 11, 13, and so on,
From the above series, it is determined that 8 is not a prime number.

Thus, the given number 8 is not a prime number.

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Related Questions

The most intense rainfall on record was 75 mm in 2 min at Barst, Guadeloupe. At this rate, how much rain would you expect to fall in 1 h?​

Answers

The amount of rainfall in 1 hour at Barst , Guadeloupe is 2250 mm

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of rainfall in 2 minutes = 75 mm

So , the amount of rainfall in 1 minute = amount of rainfall in 2 minutes / 2

                                                              = 75 / 2

                                                              = 37.5 mm

And , 1 hour = 60 min

So ,

The amount of rainfall in 1 hour = amount of rainfall in 1 minute x 60

                                                    = 37.5 mm x 60

                                                    = 2250 mm

Hence , the amount of rainfall in 1 hour at Barst , Guadeloupe is 2250 mm

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What would be an appropriate way to assign digits in order to simulate flipping an unfair coin with P(H) = 0.3? *
Assign digits 1,2,3 to be a head. Assign 4 - 9 to be a tail.
Assign digits 0,1,2,3 to be a head. Assign 4 - 9 to be a tail.
Assign digits 0,1,2,3 to be a tail. Assign 4 - 9 to be a head.
Assign digits 0,1,2 to be a tail. Assign 3 - 9 to be a head.
Assign digits 0,1,2 to be a head. Assign 3 - 9 to be a tail

Answers

Assign digits 1,2,3 to be a head. Assigning 4 - 9 to be a tail would be the most appropriate way.

Option (A) is correct.

What is probability?

Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.

There are 10 chances to flip the coin.

If we assign digits 1, 2, and 3 to be as a head and if we assign 4 - 9 as a tail,

then we can get the probability of getting head

P(H) = 3/ 10 = 0.3.

Hence,  Assign digits 1,2,3 to be a head. Assigning 4 - 9 to be a tail would be the most appropriate way.

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A flight from Baltimore to San Joe took 5 hour and covered 3,010 mile. What wa the plane’ average peed?

Answers

The plane's average speed is 602 miles/hour.

What is the average speed?

The overall distance the object covers in a given amount of time is its average speed. It can be calculated by:

Average Speed = (Total distance)/(Total Time)

Given, Total distance traveled = 3010 miles

Total time taken = 5 hours

Now, the average speed is given by:

average speed = (3010/5) miles/hour

                         = 602 miles/hour

Hence, the plane's average speed is 602 miles/hour.

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How much is two third?.

Answers

The two third can be written as 2/3 which in decimal means 0.6667 and when expressed as a percentage it is 66.67%

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.

The two third can be written as 2/3. It basically means 2 parts of 3 total parts.  Here the numerator is 2 and demominator is 3.

It can be written in decimal as 2/3 = 0.666

This is an irrational fraction when converetd into decimal system, it becomes a recurring decimal.

The equivalent fraction of 2/3 is 4/6 or 20/30 etc

Therefore, The two third can be written as 2/3 which in decimal means 0.6667 and when expressed as a percentage it is 66.67%

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prove that for every positive integer n, there are n consecutive composite integers. [hint: consider the n consecutive integers starting with (n 1)! 2.]

Answers

It is proved that, for every positive integer n, there are n consecutive composite integers.

Given statement,

For every positive integer n, there are n consecutive composite integers.

Proof:

Assume that m is less than n and that both m and n are positive integers. When m is less than n,

n! = 1 ⋅ 2 ⋅ 3 ⋅ ⋅ ⋅ m ⋅ ⋅ ⋅ n,

which is to say that m is a factor of n!

So,

m + n! = m + ( 1 ⋅ 2 ⋅ 3 ⋅ ⋅ ⋅ m ⋅ ⋅ ⋅ n )

          = m ((1 ⋅ 2 ⋅ 3 ⋅ ⋅ ⋅ m ⋅ ⋅ ⋅ n) / m + 1)

Since m is a multiple of n!, n!/m is still an integer. Since the integer m is bounded between 1 and n, it follows that any number you choose up to n can divide m + n!, making it composite until the nth integer.

However, since n! contains the nth integer, the nth integer is also composite, meaning you can choose any integer between 1 and n inclusively and it will be composite.

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Describe how you would evaluate the numerical expression 48 {[2 x (1 + 3)] + 4}​

Answers

Answer:

576

Step-by-step explanation:

48 {[2 x (1 + 3)] + 4}​

48 ((2x4)+4)

48(8+4)

48 x 12

= 576

factory costs $460,000. You forecast that it will produce cash inflows of $150,000 in year 1, $210,000 in year 2, and $360,000 in year 3. The discount rate is 12%. a. What is the value of the factory? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Answers

The worth of the factory is $97580.17.

Given data;

Cost of $460,000 for the factory. You project that it will bring in $150,000 in the first year, $210,000 in the second, and $360,000 in the third. The 12% discount rate applies.

To know the factory's worth;

Let,

[tex]NPV = \frac{C_0}{(1 + r)^0} + \frac{C_1}{(1 + r)^1} + \frac{C_2}{(1 + r)^2} + \frac{C_3}{(1 + r)^3}[/tex]

Here,

C₀ = -460,000, C₁ = 150,000, C₂ = 210,000, C₃ = 360,000

[tex]NPV = \frac{-460,000}{(1 + 0.12)^0} + \frac{150,000}{(1 + 0.12)^1} + \frac{210,000}{(1 + 0.12)^2} + \frac{360,000}{(1 + 0.12)^3}[/tex]

NPV = $97,580.17

Therefore, the factory's worth is $97580.17.

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The two triangles are similar, solve for x.

Answers

There are two triangles and both of them are similar, then the value of x will be equal to 4.5.

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given diagram shown in the question,

Δ JKL is similar to Δ ABC.

Then,

10x + 9 = 54

Solve the equation for x,

10x = 54 - 9

10x = 45

x = 45/10

x = 4.5

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Find the Slope and Y-intercept of each line

Answers

Slope of graph is -4 and y- intercept is -8.

What is slope of graph?

In math, slope is employed to explain the gradient and direction of lines.

Main Body:

The slope of a line is the ratio of rise to run. Hence, here are the steps to find slope from a graph.

Select any two random points on the graph of the line (preferably with integer coordinates).Label them as A and B (in any order).Calculate the "rise" from A to B. While going vertically from A to B, if we have to go

        "up", then the rise is positive;

          "down", then the rise is negative.

Calculate the "run" from A to B. While going horizontally from A to B, if we have to go

           "right", then the run is positive;

           "left", then the run is negative.

Now, use the formula: slope = rise/run.

hence slope of graph = -8/2 = 4.

And y intercept is point cutting y-axis , so it is -8.

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What is the equation of the line that passes through the point (-1, 3) and has a
slope of -3?

Answers

Answer:
y=-3x

Explanation:
3=-3(-1)+b
3=3+b
0=b

y=-3x

Answer:

y=-3x

Explanation:

3=-3(-1)+b

3=3+b

0=b

y=-3x

In rhombus ABCD , DB = 16 and AC = 12 What is the perimeter of rhombus ABCD

Answers

Answer:

40

Step-by-step explanation:

You can always look it up but that is the answer

Which is higher? Determine if I or II is higher or if they are equal. Explain your reasoning. For a regression line, the uncertainty associated with the slope estimate, b1, is higher when
I. there is a lot of scatter around the regression line or
II. there is very little scatter around the regression line

Answers

b1, is higher when: I. there is a lot of scatter around the regression line.

I is higher. The more scatter around the regression line, the higher the uncertainty associated with the slope estimate, b1. If there is a lot of scatter, the estimated slope is less reliable than if there is very little scatter.

The uncertainty associated with the slope estimate, b1, is higher when there is a lot of scatter around the regression line. This is because the estimate of the slope is based on the data points, and when there is a lot of scatter, the data points are more spread out and the estimate of the slope is less reliable.

The Importance of Scatter in Regression Analysis

In regression analysis, the scatter of data points around the regression line is important in determining the uncertainty of the slope estimate. When there is a lot of scatter, the data points are more spread out and the estimate of the slope is less reliable. This is because the estimate of the slope is based on the data points, and when there is more scatter, the data points are more spread out and the estimate of the slope is less reliable.

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each side of a square is increased 3 inches. when this happens, the area is multiplied by 4. what is the side length of the original square?

Answers

The side length of the original square is 3.

Let s = side length of the original square

s + 3 = side length of the new square

Area of a square = s²

A = s²

A = (s+3)²

A = s² + 6s + 9

Area multiplied by 4 = 4 × s²

So,

s² + 6s + 9 = 4s²

4s² - s² - 6s - 9 = 0

3s² - 6s - 9 = 0

s² - 2s - 3 = 0

a = 1

b = -2

c = -3

s = -b ± √b² - 4ac / 2a

= -(-2) ± √(-2)² - 4(1)(-3) / 2(1)

= 2 ± √4+12/2

= 2± √16/2

= 2 ± 4/2

= 2+4/2 or 2-4/2

= 6/2 or -2/2

= 3 or -1

side length can not be negative

Therefore, s = 3

A = s²

A = (3)²

= 9

A = (s+3)²

= (3+3)²

= 36

Hence the side length of the original square is 3.

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the probability distribution shows the weights x, in kilograms, of boxes being shipped from a certain factory. a shipped box is randomly chosen. what is the probability that it weighs less than 29 kilograms? a probability distribution histogram. the vertical axis has no scale. horizontal axis is labeled x and extends from 24 to 32 with an interval of 1. the bars in all intervals are equal in height. responses 0.75 0.75 0.625 0.625 0.5 0.5 0.375

Answers

The probability that it weighs less than 29 kilograms is 0.625.

How likely is it that a box will weigh less than 29 kilograms?

according to the histogram( image attached )

A box could weigh any one of 8 different amounts, all of which have the same chance of happening.

thus, the equal probability is:

= 1/8

= 0.125

According to the probability distribution, The probability that a box weighs less than 29 kilograms is represented by the probability below 27. There are 5 weights below 29 which makes the probability :

= 5 × 0.125

= 0.625

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What was the results of the Bonus March?.

Answers

Answer:

Step-by-step explanation:

The correct option is “C” protesters were driven out by force.


This is after President Hoover ordered an army regiment into the city to quash their protests.  Under the leadership of General Douglas MacArthur, the army, rolled into Anacostia Flats forcing the Bonus Army to flee

the amount of snowfall falling in a certain mountain range is normally distributed with a mean of 70 inches and a standard deviation of 10 inches. what is the probability that the mean annual snowfall during 25 randomly picked years will exceed 72.8 inches?

Answers

80.8% of the time, the average yearly snowfall across the 25 years that were randomly chosen will be greater than 72.8 inches.

Describe the term Normal Distribution?When we are aware of the normal distribution of the data, we must utilize that normal distribution to calculate probabilities. That is, in order to determine the necessary area under the normal curve, we must use the mean and indeed the population standard deviation.

As the question stated;

The z score is estimated as;

z = (x - μ)/σ

In which,

Mean μ =  70 inche

standard deviation σ = 10 inches.

n = 25

z = (72.8 - 70)/(10/√25)

z = 2.8/2

z = 1.40

Use z-score table to find the value;

P(x > 72.8 inches) = P(z > 1.40)

P(x > 72.8 inches) = 1 - P(z < 1.40)

P(x > 72.8 inches) = 1 - 0.9192

P(x > 72.8 inches) = 0.0808

Thus, 80.8% of the time, the average yearly snowfall across the 25 years that were randomly chosen will be greater than 72.8 inches.

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using traditional methods it takes 11.111.1 hours to receive a basic driving license. a new license training method using computer aided instruction (cai) has been proposed. a researcher used the technique on 2626 students and observed that they had a mean of 10.910.9 hours with a variance of 1.441.44. is there evidence at the 0.0250.025 level that the technique reduces the training time? assume the population distribution is approximately normal. step 4 of 5 : determine the decision rule for rejecting the null hypothesis. round your answer to three decimal places.

Answers

The technique reduces at the training time t = 0.709.

The decision rule is a statement that tells under what circumstances to reject the null hypothesis. The decision rule is based on specific values of the test statistic.

Given that,

Population mean = 11.1 hrs

Sample mean = 10.9 hrs

Sample size , n = 26

α = 0.025

Sample standard deviation = 1.44

Therefore the null and alternate hypothesis will become,

H₀ : μ = 11.1 hrs

Hₐ : μ ≠ 11.1 hrs

here we have to use two tailed test to [perform above hypothesis,

t = (x - μ)/ (s/[tex]\sqrt{n}[/tex])

= (10.9 - 11.1) /(1.44/[tex]\sqrt{26}[/tex] )

 = - 0.2/ 0.282

t = 0.709.

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An archaeologit i roping off a rectangular region of land to dig for artifact. The region mut have a perimeter of 440 feet and an area of at leat 8500 quare feet. Decribe the poible length of the region

Answers

The possible length of the region after solving the quadratic equation is either 170ft or 50ft.

What is a quadratic equation?

A quadratic equation in algebra is any equation that can be written in the simpler form where x stands for an unknown value and a, b, and c are known quantities. The assumption is that a > 0; an equation with a = 0 is thought to be degenerate because they become linear or even simpler.

Solution Explained:
Lets assume, length = x and width = y

So we know, the area and perimeter is supposed to be 8500 and 440 respectively

we form the equations,

1) 8500 = xy , and                       [Area = length*width]

2) 440 = 2(x + y)                           [ Perimeter = 2(length +width)]

   220 = x + y

So, x = 8500/y (from equation 1) and put the value of x in 2

220 = x + (8500/x)

After solving this we get the quadratic equation,

x^2 - 220x + 8500 = 0

Solving the equation, we get

x = 170 or, x = 50 which are the two possible lengths of the region.

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What are the 3 types of solutions to a system of linear equations?.

Answers

The 3 types of solutions to a system of linear equations are Unique Solution, No Solution and Infinitely Many Solutions.

In the given question we have to find the 3 types of solutions to a system of linear equations.

The 3 types of solutions to a system of linear equations are:

(1) Unique Solution: There is only one solution to a linear equation including one variable. The one and only position at which LHS and RHS are similar on substitution is the unique solution of a linear equation.

(2) No Solution: The system of linear equations has no solution if the graphs of the linear equations are parallel. There is no point in this situation when no lines cross one another.

(3) Infinitely Many Solutions: There are infinite solutions to a 2 linear equation. There is a set of infinite solution points for the linear equation system when each equation's L.H.S changes to its R.H.S

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How do you prove that congruent angles are equal?.

Answers

Two angles are considered to be congruent if their measures match. You are already aware that the vertical angles created when two lines connect are congruent.

A = B if A and B are both complements of C. We should investigate additional angle correlations. When you reveal these angle correlations, you will formally prove their veracity. For instance, you were given the concept of an angle bisector. It turns out that an angle's bisector separates it into two angles, each of which has a measure equal to half that of the original angle.Two angles are considered to be congruent if their measures match. You are already aware that the vertical angles created when two lines connect are congruent.

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andre lives with his wife and three children. approximately how many pounds of municipal solid waste does andre and his family generate each day?

Answers

If andre lives with his wife and three children. 22 pounds of municipal solid waste his family generates each day.

What is population density?

It is defined as the ratio of the population to the total area. The population density represents the average number of people living in each square unit.

It is given that and lives with his wife and three children.

We have to find the mass of municipal solid waste Andre and his family generate each day.

From the data research 22 pounds of municipal solid waste, his family generates each day.

Thus, if Andre lives with his wife and three children. 22 pounds of municipal solid waste his family generates each day.

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a farmer plans to enclose a rectangular pasture adjacent to a river (see figure). the pasture must contain 5,000 square meters in order to provide enough grass for the herd. no fencing is needed along the river. what dimensions will require the least amount of fencing?

Answers

50 m  is dimensions will require the least amount of fencing .

What is rectangle?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. It is also known as an equiangular quadrilateral for this reason.

                                          Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.

Let x = length of the side parallel to the river

     y = length of each of the other two sides

Then xy = 5,000, so y = 5,000/x

Minimize:  L = length of the fence

L = x + 2y

 = x + 10,000/x, where x > 0

L' = 1 - 10,000/x2 = (x2 - 10,000)/x2

L' = 0 when x = 100 or -100

Since x can't be negative, x must be 100.

When 0 < x < 100, L' < 0.  So, L is decreasing.

When x > 100, L' > 0.  So L is increasing.

Therefore, L has a relative and absolute minimum when x = 100 m

                                                                                    y = 5,000/x = 50 m

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Is a quadratic function linear or nonlinear?.

Answers

A Quadratic function is non-Linear.

Answer:

nonlinear

Step-by-step explanation:

Quadratic functions are non-linear. A linear function produces a straight line while a quadratic function produces a parabola

a. conceptual warmup (25 points) think back to the navier stokes (n.s.) equations. (15 points) note: you do not need to solve the differential equation for problem. consider a thin layer of fluid flowing on a slope, as illustrated in figure. the fluid-solid interface is at y

Answers

∂v⃗ ∂t+(v⃗ ⋅∇⃗⃗) v⃗ +1ρ∇⃗ p=g. The viscosity leads to frictional forces within the fluid. Taking the viscosity into account in the Euler equation finally leads to the Navier-Stokes equation.

For the derivation of the Navier-Stokes equations we consider a fluid element and the forces acting on it. At first we will consider only the motion of the fluid in x-direction. The motion of the fluid element is influenced by the pressure forces acting on the front and back surface of the cubic volume element.

    These pressure forces basically represent normal stresses and are therefore denoted in the following by the Greek symbol σ instead of p. We will see later that in addition to the pressure forces, viscosity-related forces also act perpendicular to the surfaces and contribute to the normal stress.

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12. If p II 9, solve for x.

Answers

The value of x for the given triangle by a similar triangle rule will be 5.

What is symmetry?

If two figures look an exact shape but their size could be small or big then both figures are called similar figures.

When anything has identical pieces facing one another or revolving around an axis, it is said to be symmetrical.

As per the given triangles,

By a similar triangle rule,

(2x - 8)/(5x - 19) = (x + 2)/(3x + 6)

(2x - 8)/(5x - 19) = (x + 2)/3(x + 2)

(2x - 8)/(5x - 19) = 1/3

6x - 24 = 5x - 19

x = 5

Hence "The value of x for the given triangle by a similar triangle rule will be 5".

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a book contains 1 to 124 pages numbered from 1 to 124 how many times does the digit 7 appear

Answers

Answer:
The number 7 appears 21 times.

Explanation:
7, 17, 27, 37, 47, 57, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 87, 97, 107, 117

Given m n, find the value of x.
(x+20)°
(4x-5)°

Answers

∠(x+20)° and ∠(4x-5)° are the same side interior angles or supplementary angles thus x will be 33.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

As per the given angles,

∠(x+20)° and ∠(4x-5)° are supplementary angles.

∠(x+20)° + ∠(4x-5)° = 180°

x + 20 + 4x - 5 = 180

5x + 15 = 180

5x = 165

x = 33

Hence "∠(x+20)° and ∠(4x-5)° are the same side interior angles or supplementary angles thus x will be 33".

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What are the 3 linear functions?.

Answers

Answer:

point-slope form, standard form, and slope-intercept form

Step-by-step explanation:

The three main types of linear functions are: point-slope form, standard form, and slope-intercept form.

Here is an image with each form

(1 point) a street light is at the top of a 16 foot tall pole. a 6 foot tall woman walks away from the pole with a speed of 4 ft/sec along a straight path. how fast is the tip of her shadow moving when she is 30 feet from the base of the pole?

Answers

The tip of the shadow is moving at  [tex]4.8\frac{ft}{sec}[/tex]

Consider the image , as depicted below

Based on similar triangle , we have

[tex]\frac{s(t)}{6} =\frac{s(t)+w(t)}{16}[/tex]

⇒ 10s(t) = 6w(t)

⇒ w(t) = [tex]\frac{10}{6} s(t)[/tex]

we are told that a certain time t,

[tex]\frac{d(w(t))}{dt} = 8\frac{ft}{sec}[/tex]

[tex]\frac{d(w(t))}{dt} = \frac{d(\frac{10}{6}.s(t)) }{dt}[/tex]

          [tex]= \frac{10}{6}\frac{d(s(t))}{dt}[/tex]

Therefore,

[tex]\frac{10}{6} \frac{d(s(t))}{dt} = 8\frac{ft}{sec}[/tex]

[tex]\frac{d(s(t))}{dt} = 4.8\frac{ft}{sec}[/tex]

Hence, The tip of the shadow is moving at  [tex]4.8\frac{ft}{sec}[/tex]

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the attention span of a two-year-old is exponentially distributed with a mean of about 8 minutes. suppose we randomly survey 60 two-year-olds.

Answers

The mean has a value of 8 minutes and a standard deviation of 0.9736.

What is mean?

The sum of a set of numbers divided by the total number of numbers in the set is known as the arithmetic mean or arithmetic average in mathematics and statistics. The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including basic arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

Here,

X= attention span of the 2 year old

μ=8

σ=8

m=1/8

X=exp(1/8)

mean=N(8,8/√60)

Mean is normally distributed with value about 8 minutes and difference being 0.9736.

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Write the expression as a logarithm of a single expression.log 5+ log 18- log 9 in order to avoid some of the negative psychological effects of dieting, based on current research what is the recommended focus when dieting? In november of 1777, continental congress called for a day of thanksgiving to celebrate what?. Read "The Inchcape Rock" on page 112 in your ELA textbook.What is the poet's perspective on those who do wrong?AB The poet's perspective of those who do wrong is indifferent or neutral.CThe poet has positive feelings about those who do wrong.DThe poet feels that those who do wrong deserve a second chance.The poet's perspective is that those who do wrong will have wrong done to them. 4 in has a force of 50 applied. What is the pressure? What is the legal question in Terry v. Ohio?. What is a political party simple definition?. At least ________ ml of urine is usually needed for testing, depending on the test ordered. What is the area of the rectangle?A. 60 unitsB. 66 unitsC. 70 unitsD. 74 units put the following events in chronoloigic order (from the first event to the last event) occurring after a 10-km-diameter asteroid strikes the earth. the dodd-frank wall street reform and consumer protection act of 2010 requires companies to report which aspect of the pay structure? What does it mean when rocks are magnetic?. What is the agency that advises The president about the performance of hundreds of government agencies?. The function f(x) is shown on the graph.Which type of function describes f(x)? Exponential Logarithmic Polynomial Rational if 4-methylcyclohexanol is used as starting material, is there evidence for the occurrence of carbocation rearrangements? 1. The real interest rate in the US is ___ (options are: -1%, -0.1%,0.2%,1%,2%); and the real interest rate in the United Kingdom is ___ (options are: -2%, 2%, 0.2%, -0.1%,-1%)2. In response to these real interest rates, international investment flows from the ___ (options are: US or United Kingdom) to the ___ (United kingdom or US).3. As a result of these investment flows, the dollar would ___ (options are: Remain the same, depreciate, appreciate) against the pound. what is the effect of slow flow rate on diffusion rate across capillary walls using ficks law of diffusion mission tortilla brand mexican foods has added a new, low-carbohydrate version of its flour tortillas. this is an example of a francine views her manager as a colleague and does not hesitate to approach her manager with new ideas or to question a decision. , francine is highly committed to the organization and seeks to make a positive impact on her colleagues and customers. compared to other ethnoracial groups in the united states, the experience of african americans is unique for which reason?