Please help ASAPPPP!!!!!!!!!!!!! It’s due in 3 mins

Please Help ASAPPPP!!!!!!!!!!!!! Its Due In 3 Mins

Answers

Answer 1

The ball hits the ground after x = 6 seconds.

What is an equation?

Two or more expressions with an equal sign are defined as an equation.

The given equation is h(x) = -2x² + 8x + 24.

(a) when the ball is thrown, the time is t = 0 sec.

Therefore, the height of the ball when it is thrown is,

h(0) = -2(0)² +8(0) +24

h(0) = 24

(b) The derivative of the function is,

h'(x) = -4x + 8

Substitute h'(x) = 0 into the above equation,

0 = -4x +8

4x = 8

x = 2

The second derivative of the function is,

h''(x) = -4

Since the second derivative of the function is negative, the function is maximum at x = 2.

(c) The maximum height of the ball is,

h(2) = -2(2)² + 8(2) +24

h(2) = -8 +16 +24

h(2) = 32

(d) The ball hits the ground when h(x)= 0, therefore,

0 = -2x² +8x +24

0 = -2x² +12x - 4x + 24

0 = -2x(x - 6) - 4(x - 6)

0 = (x - 6)(-2x - 4)

(x - 6) = 0 or (-2x-4) = 0

x = 6 or x = -2

Since time cannot be negative, it follows, x = 6 seconds.

Hence, the ball hits the ground after x = 6 seconds.

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Related Questions

The set of data in the table below represents a linear function.
X
Y
2
-15
5
-9
7
-5
10
1
13
7
Which is an equation for this function?

Answers

Answer:

y = 2x - 19

Step-by-step explanation:

Graph the points on the table and you'll be able to see the answer. That's how I went about it.

or use m = y^2 - y^1 divided by x^2 - x^1 to find the slope, then solve for the initial value from there

Simplify the expression below as a simplified fraction.

(1+1/3)²−2/9

Answers

(1 + 1/3)^2 - 2/9

= (3/3 + 1/3)^2 - 2/9

= (4/3)^2 - 2/9

= 16/9 - 2/9

= 14/9

Please help this is hard

Answers

The equation that represents each of the figure in slope intercept form are

equation of the left side - y = 3x + 2

equation of the right side - y = 3x - 4

equation of the top side - y = 5

equation of the bottom side - y = -1

How to write the linear equation in slope intercept form

The the slope intercept form has the formula

y = mx + c

where

m = slope

c = intercept

x = input variables

y = output variables

The left and right side's slopes require calculation however the top and bottom slope is zero

equation of the left side

The points used for the slope is gotten from the graph as (1. 5)  (0, 2)

m = (y₂ - y₁) / (x₂ - x₁)

substituting the values

= (2- 5) / (0 - 1)

= -3 / -1

= 3

writing the equation using points (0, 2)

(y - y₂) =  m(x - x₂)

y - 2 = 3(x - 0)

y = 3x + 2

equation of the right side

The points used for the slope is gotten from the graph as (5. 5)  (3, -1)

m = (y₂ - y₁) / (x₂ - x₁)

substituting the values

= (-1 - 5) / (3 - 5)

= -6 / -2

= 3

writing the equation using points (3, -1)

(y - y₂) =  m(x - x₂)

y - -1 = 3(x - 3)

y + 1 = 3x - 3

y = 3x - 4

equation of the top side

the top side is a horizontal line and the equation is written by picking the point where the line cut the y axis. from the graph the point is 5 hence

y = 5

equation of the bottom side

the bottom side is a horizontal line and the equation is written by picking the point where the line cut the y axis. from the graph the point is -1 hence

y = -1

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what's 33 ÷ 33 × 33 - 33 + 33

Answers

33 is the answer to what's 33 ÷ 33 × 33 - 33 + 33

Answer:

33

Step-by-step explanation:

first we divide 33 by 33 then we have 1 now we have times 33 which is 33 now 33-33 is 0 not we add 33 to 0 now we have 33

Which ordered pair is in the solution set of y> -1/6x - 4?
A. (-8, 8)
B. (6,-5)
C. (4, -6)
D. (-2, -7)

Answers

Determine whether 8 > -191/48 is true or false :

=> True.

Other option are False.

Given,

In the question:

The set is given as:

y> -1/6x - 4

To check the which ordered pair is in the solution set of y> -1/6x - 4

Now, According to the question:

A) Substitute x = -8 , y = 8 into  y> -1/6x - 4

8 > -1/ 6 x (-8) - 4

LHS = 8

RHS = -1/ 6 x (-8) - 4 = -191/48

Write in the form

8 > -191/48

Hence, Determine whether 8 > -191/48 is true or false :

=> True.

Other option are False.

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Answer:

Step-by-step explanation:

kozol observes the strain on fremont's students at lunchtime, when all of the 3,300 students in attendance are served in one 30-minute meal period. one teacher calculates that the extended walk to the cafeteria and long food lines create a 10-minute window for students to eat. what often results is that many students go all day without a meal (176).

Answers

Kozol notices the stress on the 3,300 kids at Fremont during lunch, when the entire meal is provided in a single 30-minute period. One teacher estimates that the lengthy distance to the cafeteria and the lengthy queues for food provide children a 10-minute window during which to eat. As a result, many students frequently skip meals entirely (176).

Given,

Lunch was served to the pupils in this school in a single sitting, unlike the staggered luncheon sessions I saw at Walton High. 3,300 children cannot be fed at once due to physical limitations, the teacher explained. "The session lasts barely 30 minutes, and there is a very large line for children to obtain their food. They must wait in line for fifteen minutes before they can even walk there from their classes. They most likely have 10 minutes to eat their food. Many of them don't even try.

You've worked as a teacher, so you know what it's like for students to go a whole day without eating. Here at Fremont, the school day lasts eight hours.

Here,

Kozol notices the stress on the 3,300 kids at fremont during lunch, when the entire meal is provided in a single 30-minute period. One teacher estimates that the lengthy distance to the cafeteria and the lengthy queues for food provide children a 10-minute window during which to eat. As a result, many students frequently skip meals entirely .

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Given question is incomplete. Completed question is here;-

Unlike the staggered luncheon sessions I observed at Walton High, lunch was served in a single sitting to the students in this school. "It's physically impossible to feed 3,300 kids at once," the teacher said. "The line for kids to get their food is very long and the entire period lasts only 30 minutes. It takes them 15 minutes just to walk there from their classes and get through the line. They get 10 minutes probably to eat their meals. A lot of them don't try. You've been a teacher, so you can imagine what it does to students when they have no food to eat for an entire day. The schoolday here at Fremont is eight hours long."

From Kozol, Jonathan. The Shame of the Nation: The Restoration of Apartheid Schooling in America. New York: Crown, 2005. Print. The passage appears on page 176.

A chool will only accept tudent who core in the top 2 %of an admiion tet. If the normal ditribution with a mean of 70 %and a tandard deviation 5%. What i the minimum grade that a tudent mut core in order to be accepted?

Answers

Ninety-five percent of people have IQs between 70 and 130.99.7 percent of people have IQ scores between 55 and 145.With IQ scores between 55 and 145, only 0.3% of the population falls outside this range.

How likely is it that a student chosen at random will have an IQ of 115 or higher?

Since half should be over the normal of 100 (by evenness), this implies 50 - 34.13 = 15.87 (%) has an intelligence level score over 115.

Which level of understudies might have scored either higher than 90 or lower than 70?

That always prompts the same response: 95%!Since we are aware that one standard deviation equals five points, two standard deviations equal two x 5.As a result, 95% of scores fall between 70 and 90, which is 10 points above the mean of 80.

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I Need help for this one is about linear equations

Answers

Answer:

not sure what the question is but if you look for the equation

it's
1/4 * x + 1
or in decimal
0.25x + 1

After much tinkering, Jaylen's time machine finally works! For his first trip,
Jaylen will travel 25 years into the future. If his time machine uses 3
kilowatts of power to transport him 1 month into the future, how many
kilowatts of power will it use for his first trip?

Answers

Answer:

900kW

Step-by-step explanation:

3kW = 1 month

xkW = 25 years

First, change 25 years into months:

12 months = 1 year

Therefore,

25 years = 12 × 25

= 300 months

If

3kW = 1 month

x = 300 months

cross-multiply

Hence,

1 monthX = 300 months × 3kW

= 900kW months

Divide both sides by the coefficient of X

X = 900kW months / 1 month

= 900kW

Therefore, Jalen's first trip will take 900kW

What is the equation of this line?

Responses

y=12x−3
y equals fraction 1 half end fraction x minus 3

y=−12x−3
y equals negative fraction 1 half end fraction x minus 3

y=−2x−3
y equals negative 2 x minus 3

y=2x−3
y equals 2 x minus 3
Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma negative 3 end ordered pair and the point begin ordered pair 4 comma negative 1 end ordered pair

Answers

The equation  of the line  in slope-intercept forms expressed as: y = y = 1x + 3

How to Write the Equation of a Line?

To wrote the equation of a line in slope-intercept form, first, find the slope (m) of the line, determine the y-intercept (b) of the line, then substitute the values into y = mx + b (equation in slope-intercept form).

Using two points on the line, (0, 3) and (4, -1):

Slope (m) = change in y / change in x = (3 - -1)/(0 - 4)

Slope (m) = 4/-4

Slope (m) = -1

The slope of the line is m = -1.

Find the y-intercept (b) by substituting one point, (x, y) = (0, 3), and m = -1 into y = mx + b and solve for b:

3 = 1(0) + b

3 = 0 + b

b = 3

Write the equation of the line by substituting b = 3 and m = -1 into y = mx + b:

y = 1x + 3

Thus, the equation in slope-intercept form of the line is expressed as: y = 1x + 3

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Write the equation of the parabola that has vertex (-5,6) and directrix y=2.

Answers

The equation of parabola is ( x + 5 )² = 16 ( y - 6 )

What is a Parabola?

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k - p

Given data ,

The vertex of the parabola is ( -5 , 6 )

The directrix of the parabola y = 2

From the equations of parabola , we know that

The vertex ( h , k ) = ( -5 , 6 )

h = -5

k = 6

y = k - p

y = 2

k - p = 2

Substituting the value k in the equation , we get

6 - p = 2

On Simplifying , we get

p = 4

So , now we have the values of h , k , and p

The equation of the parabola is

( x - h )² = 4p ( y - k )

Substituting the values , we get

( x - (-5) )² = 4 x 4 ( y - 6 )

( x + 5 )² = 16 ( y - 6 )

x² + 25 + 10x = 16y - 96

x² + 10x - 16y = -121

Hence , the equation of parabola is ( x + 5 )² = 16 ( y - 6 )

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Evaluate. Write your anwer a a whole number or a a implified fraction.

5 –1

·
8 –2

=

Answers

Answer:

Step-by-step explanation:

so basically 2+2=3

how do i graph this?? it doesnt make any sense to me :(

Answers

Answer:

Basically you need to show on a graph the cost half of the Drinks and the Popcorn and then when everything is graphed and then the rest of the instructions are stated below:

A) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks. (3 points - 1 for x-intercept, 1 for -intercept, 1

PLEASE GIVE BRAINLIEST THANK YOU!!!

a ____________ is a table in which frequencies correspond to two variables.

Answers

A contingency table is a table in which frequencies correspond to two variables.

Explanation:

In contingency table one variable is used to categorise rows and second variable is used to categories columns.In contingency table have at least two rows and at least two columns.

What is frequency table?

A frequency table is just a two-column "t-chart" or table that lists all of the potential outcomes and their corresponding frequencies as seen in a sample.

What does "two way frequency table" mean?

A two-way or contingency table is the name for this kind of table. A statistical table called a two-way or contingency table displays the observed number or frequency for two variables, with the rows denoting one category and the columns denoting the other. Example, the gender (male or female) row category.

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What is -4 (3-1) +2 simplified?

Answers

Answer: [tex]-4(3-1)+2=-4(2)+2=-8+2=-6[/tex]

a rectangle is inscribed in a right isosceles triangle with a hypotenuse of length . what is the largest area the rectangle can have?

Answers

The largest area of the rectangle is 2 square units.

We have a right angled isosceles triangle with hypotenuse 4 units.

so its base will be equal to the perpendicular  , let it be B

So we know ,

B² + P² = H²

2B² = H²

B²  = 16/2

B = 2√2

So base is equal to perpendicular = 2√2 units

Now let consider a rectangle inside the triangle with length 2x and the width y , and the area will become

A = 2xy  ....(1)

we see from the figure the length of the perpendicular AD drawn on the hypotenuse is

BD² + AD² = AB²

AD² = AB² - BD²

      = 8 - 4

AD² = 4

AD = 2 units

Now we see triangle ABD and AEG are similar to each other , So

AD/BD = AG/GE

2/2 = 2-y/x

therefore

x = 2-y

put this value in eqn (1)

A = 2(2-y)y

A = 4y - 2y²

Now to maximize the area we take the derivative of the equation and then put it equal to zero

∴ 4 - 4y = 0

y = 1

∴ x = 2-y = 2-1 = 1 units

So area will be maximum when length and width are 1 units each.

therefore , largest area (A) of the rectangle is  = 2xy = 2 square units.

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i have no clue what this is can someone help me

Answers

Step-by-step explanation:

you have to transform the equations, so that in the end you have only x on one side, and everything else on the other.

and that is the solution.

remember, when doing such transformations, we have to do every change to both sides at the same time.

a)

x/5 = 3 | multiply both sides by 5

x = 3×5 = 15

b)

x/2 = 8.5 | multiply both sides by 2

x = 8.5×2 = 17

Answer:

a=15 b=17

Step-by-step explanation:

since we know x divided by something is 3 we do the inverse method so it's going to b 15. The same thing happened with b.

I hope this helps!!

For a project in her Geometry cla, Violet ue a mirror on the ground to meaure the height of her chool’ football goalpot. She walk a ditance of 12. 75 meter from the goalpot, then place a mirror flat on the ground, marked with an X at the center. She then walk 6. 55 more meter pat the mirror, o that when he turn around and look down at the mirror, he can ee the top of the goalpot clearly marked in the X. Her partner meaure the ditance from her eye to the ground to be 1. 75 meter. How tall i the goalpot? Round your anwer to the nearet hundredth of a meter

Answers

3.406 tall is the goalpost

given that

she walk a distance of 12.75 meters from the goalpost, then place a mirror flat on the ground, marked with an X at the center. She then walks 6. 55 more meters past the mirror

Her partner measures the distance from her eye to the ground to be 1. 75 meters.

based on the given condition [tex]\frac{1.75}{6.55}[/tex] = [tex]\frac{x}{12.75}[/tex]

                   x = [tex]\frac{1.75}{6.55}[/tex] ×12.75

                 x = 3.406

Therefore, 3.406 tall is the goalpost

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Zola took a picture of Greg standing next to a building. Greg is 5 feet tall. The picture Zola took
shows Greg as ½ inch tall. If the building is 25 feet tall in real life, how tall should the building be
in the picture? Explain.

Answers

Answer

2inch tall

Explanation

let the height of the building in the picture = y

5ft -––- ½ inch

20 ft -––- y inch

Cross multiply ✖️

20 × ½ = 5 × y

10 = 5y

10/5 = y

y = 2

I need help with please!!!!

Answers

Answer: -5/2

Step-by-step explanation:

Using slope formula which is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] you can substitute in the numbers which leads you to getting [tex]\frac{-1-4}{-3-(-5)}[/tex] which equals to -5/2

a conical tank has height 3 m and radius 2 m at the base. water flows in at a rate of 2 m3/min. cone with bottom radius 2 meters and height 3 meters. how fast is the water level rising when the level is 1 m and when the level is 1.8 m? (use decimal notation. give your answers to four decimal places.)

Answers

The speed at which conical tank water will rise is 9/8[tex]\pi[/tex] m/min.

What is cone?

A cone could be a three-dimensional geometric type with a flat base and a sleek tapering apex or vertex.

Main body:

The quick way of solving this is simply to consider the horizontal cross sectional area of the tank at the 2m water depth. This is  2/3  of the way up a tank having radius increasing linearly with depth, and so the radius is  2/3  of the 2m at the top, i.e:  4/3  m. So the area is:

πr²=π(4/3)2=16/9π

Now water having this cross section filling at 2 m³  per minute would fill a cylinder having this volume and cross section each minute. A cylinder has volume equal to cross section times length, so the cylinder would have a height of:

2/(16/9π)=9/8π metres

Therefore the water at this depth is rising at a rate of  9/8π  meters per minute.

The longer way around is to calculate the water volume for a given depth and differentiate. We know that the volume of a cone is a third that of a cylinder with the same dimensions, ie:  1/3πr²h . So if our tank has radius R and height H, then the radius of the surface of the water at depth h is  (R/H)h , and so the water volume having this depth is:

v=1/3π(R/H)h)²h=[tex]\frac{\pi r^{2} }{3H^3} h^2[/tex]

We’re interested in rate of change with respect to time, so let’s try differentiating this formula with respect to time, remembering that  h  is changing with time and so we need to use the chain rule:

[tex]\frac{dv}{dt}[/tex]=[tex]\frac{\pi r^{2} }{3H^2} 3h^2[/tex][tex]\frac{dh}{dt}[/tex]=[tex]\frac{\pi r^{2} }{H^2} h^2[/tex][tex]\frac{dh}{dt}[/tex]

Notice that we can solve this for [tex]\frac{dh}{dt}[/tex] , which is the rate of water height change, i.e: the value that we want:

[tex]\frac{dh}{dt}[/tex]= [tex]\frac{H^2 }{\pi r^{2}} h^2[/tex][tex]\frac{dh}{dt}[/tex]

The rate of change of water volume  dv/dt  is just the rate that water flows in, so now all we need to do is slot the given numbers into the equation:

dh/dt=2(3²/π2²2²)=9/8π meters per minute

Hence the answer is 9/8[tex]\pi[/tex] m/min.

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Kal practices lines for 28 minutes at his acting class. This is 70% of the entire acting class. How many minutes long is his acting class? use any strategy to solve.

Answers

Using percent method we can solve the problem. Kal's acting class is 40 minutes long in total.

In which he practices lines about 28 minutes.

let "x minutes" be the total timing of kal's acting class .

Percent is always running between 0 to 100 where 0 % means nothing and 100% total about which we are considering the percent.

so, here x mintues is equal 100% timing

we have given that, kal practice lines for 28 minutes at his acting class and in percent form his timing is equal to 70% .

That's 70% time of entire acting class = 28 min

but we have to find the 100% of entire acting class i.e x minutes

Now, 70% time of entire class = 28 minutes

1% time of entire acting class = 28/70 minutes

100% time of entire acting class i.e x = ( 28/70)100

= 40 minutes .

So, the entire kal's acting class runs for 40 minutes .

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Bookwork code: J62
Copy and complete the table of values for
52 +3.
0 1
#| 3² | 9 | ¹ | 2 | ³ | 4 | 5 | 6
3

Answers

The values of y when x=-1,0,1,2,3,4,5,6 are 9,3,-1,-3,-3,-1,3,9 respectively.  

Given the function is,

y = x²-5x+3

Finding the values we get,

substituting the value x=-1 we get,

y = (-1)²-5(-1)+3 = 1+5+3 = 9

substituting the value x=0 we get,

y = 0²-5*0+3 = 3

substituting the value x=1 we get,

y = 1²-5*1+3 = 1-5+3 = -1

substituting the value x=2 we get,

y = 2²-5*2+3 = 4-10+3 = -3

substituting the value x=3 we get,

y = 3²-5*3+3 = 9-15+3 = -3

substituting the value x=4 we get,

y = 4²-5*4+3 = 16-20+3 = -1

substituting the value x=5 we get,

y = 5²-5*5+3 = 25-25+3 = 3

substituting the value of x=6 we get,

y = 6²-5*6+3 = 36-30+3 = 9

Hence the values of y when x=-1,0,1,2,3,4,5,6 are 9,3,-1,-3,-3,-1,3,9 respectively.  

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∠A and angle ∠B are supplementary angles. If angle A=(5x-22) and m∠B=(x+28)
what are the mesaurements for ∠A?

Answers

The corresponding measurements for angles A and B are 123° and 57°

How to find the measurements of the angles?

Supplementary angles are angles that sum up to 180 degrees e.g angle 140° and angle 40° are supplementary angles because the sum of 140° and 40° is equal to 180°

Given that: angle A= (5x-22) and m∠B= (x+28),  and ∠A and angle ∠B are supplementary angles. Thus:

A + B = 180°

(5x-22) + (x+28) = 180°

5x-22 + x+28 = 180°

6x + 6 = 180

6x = 180 -6

6x = 174

x = 174/6 = 29°

∠A = (5x-22)           put x = 29°

∠A = 5(29) -22  

    = 145-22

    = 123°

∠B = 180 -123 = 57°

Therefore, the measurements for angles A and B are 123° and 57° respectively

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Answer:The corresponding measurements for angles A and B are 123° and 57°

The corresponding measurements for angles A and B are 123° and 57°

How to find the measurements of the angles?

Supplementary angles are angles that sum up to 180 degrees e.g angle 140° and angle 40° are supplementary angles because the sum of 140° and 40° is equal to 180°

Given that: angle A= (5x-22) and m∠B= (x+28),  and ∠A and angle ∠B are supplementary angles. Thus:

A + B = 180°

(5x-22) + (x+28) = 180°

5x-22 + x+28 = 180°

6x + 6 = 180

6x = 180 -6

6x = 174

x = 174/6 = 29°

∠A = (5x-22)           put x = 29°

∠A = 5(29) -22  

   = 145-22

   = 123°

∠B = 180 -123 = 57°

Therefore, the measurements for angles A and B are 123° and 57° respectively

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solve the following quadratic equation 4x^2-31x-33=12

Answers

x = 9, -5/4
This should be the correct answer

Sketch a number line plot your age as a point on your number line

What would you consider as the starting point on a number line? Why?

Answers

The starting point of the number line drawn using the age is zero

What is a Number line?

A number line is an image of numbers plotted on a straight line, either horizontally or vertically. We can compare numbers and execute simple arithmetic operations on them easily by writing the numbers down on a number line. The starting point of a number line is often regarded as zero (0). The numbers on the left of zero are all negative, whereas the numbers on the right of zero are all positive.

The starting point of the number line drawn using the age is zero and it is why because every human life starts at the age of months/years.

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2^18 times 2^9 what is the missing exponent

Answers

The value of the exponent given as 2^18 times 2^9 is 2^27.

What is an exponent?

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

In this case, 2^18 times 2^9 will be illustrated thus:

= 2^18 times 2^9

= 2^(18 + 9)

= 2^27

The value is 2^27.

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for a random sample of 65 overweight men, the mean of the number of pounds that they were overweight was 29. the standard deviation of the population is 4.3 pounds.

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The best point estimate of the mean is 29 pounds.

Sample size n =65; sample means (X) =29; population std (s) =4.3

Since the sample size is more than 30 we can use the central limit theorem. Hence population means estimate is equal to the sample mean which is 29.

At 90% confidence z value = 1.645

Lower limit = X -z * s/[tex]n^{0.5}[/tex]= 29 -1.645 * 4.3/[tex]65^{0.5}[/tex] = 28.1

Upper limit = X -z * s/[tex]n^{0.5}[/tex] = 29 +1.645 * 4.3/[tex]65^{0.5}[/tex] = 29.9

At 95% confidence z = 1.96

Lower limit = X -z * s/[tex]n^{0.5}[/tex] = 29 -1.96 * 4.3/[tex]65^{0.5}[/tex] = 27.9

Upper limit = X -z * s/[tex]n^{0.5}[/tex] = 29 +1.96 * 4.3/[tex]65^{0.5}[/tex]= 30.1

95% confidence interval is larger. It has a wider range of values than 90% confidence. This is because we are covering more area on a normal curve with a higher confidence interval. So mean value is more likely to fall in the 95% range than the 90% range.

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One hundred people came to the company's Thanksgiving dinner. There were fifty-two more vegetarians at the dinner than non-vegetarians. How many vegetarians were at the dinner?

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Answer:

52????? It's in the question.

Step-by-step explanation:

natalie is paid 42 more per hour than travis. when natalie works for 40 hours and travis works for 35 hours, they earn $755 between them. how much does each earn per hour?

Answers

Using Linear equation we get , Travis and Natalie's combined hourly wages are $135 and $137.

Combined Natalie earns $2 more an hour than Travis.

Natalie works 40 hours

Travis works 35 hours

for his or her work Salary difference = $755

we have to find out what percentage each of them contributes per hour.

Let Travis earn in dollars per hour = x

So if he works 35 hours his earnings in dollars

= 35x

Natalie can earn in dollars per hour = x+2

So If she works 40 hours, her income will be in dollars = 40x + 80 [use distribution]

The income difference will be:

⇒ 40x + 80 -35x = 755

=> 5x = 675 => x = 135

So Travis' hourly rate = $135

Natalie's hourly rate = 135+2= $137

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