for sample size n, the margin of error is 3. how many more samples do we need to make the margin of error 0.3?

Answer:

Two negatives, positive answer:

-3 - (-4) = 1

Two negatives, negative answer:

-45 - (-1) = -44

∛128 is  the radius r and height h of the cylinder with minimal surface area .

What is Surface Area?

       V = πr²n

   128π = πr²n

        n = 128/r²

s = 2πrn + 2πr²

s = 2πr 128/r² +  2πr²

s = 256π/r + 2πr²

ds/dt = - 256π/r²  + 2πr

d²s/dt² = -256/(-2) r³ + 2π

d²s/dt² = 128/r³ + 2π

for maxima or minima

ds/dt = 0

- 256 π/r² + 2πr = 0

256 = 2r³

 r = ∛128

d²s/dt² = 128/(∛128)³  + 2π

           = 2π + 1

d²s/dt² > 0

so surface area is minimum

         a + r  = ∛128

  n = 128(∛128)²

   n = ∛128

r = ∛128  ,  n= ∛128

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If its a 28 day month then 671088640

29 days 1342177280

30 days 2684354560

and 31 days 5368709120

The solution to the system of equations will be;

⇒ (2, 0)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The first equation is,

y = - 2x + 4

And, A line goes through (0, 4) and (2, 0).

Now,

For the second linear equation;

The coordinates are,

(-4, -3) (0, -1) , (2, 0) , (6, 2)

Hence, The equation of line passes through the points (-4, -3) and (0, -1).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 1 - (-3)) / (0 - (-4))

m = 2 / 4

m = 1/2

Thus, The equation of line with slope 1/2 is,

⇒ y - (-3)= 1/2 (x - (-4))

⇒ y + 3 = 1/2 (x + 4)

⇒ y = 1/2x + 2 - 3

⇒ y = 1/2x - 1

Now, We find the value of system of equations;

y = - 2x + 4

y = 1/2x - 1

Solve both above equation, we get;

1/2x - 1 = - 2x + 4

1/2x + 2x = 4 + 1

5/2x = 5

x = 2

And, y = 1/2 (2) - 1 = 0

Thus, The solution to the system of equations will be;

⇒ (2, 0)

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Answer:

A

Step-by-step explanation:

Pairs (-1, 2.6) and (-1, -4.2), and (5.1, -3.3) and (5.1, 3.4) has distance greater than 6 unit. Options A and B are correct.

Given that,
The coordinate pairs separated by a vertical distance of greater than 6 units is to be determined.

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

here,
(A)
Since the x coordinate is the same in all the pairs, distance on the y axis can only be calculated.

(5.1, -3.3) and (5.1, 3.4)
y = 3.4 - (-3.3)
y = 6.7

Similarly distance,
(B) y = 6.8
(C) y = 5.6
(D) y = 3.5

Thus, Pairs (-1, 2.6) and (-1, -4.2), and (5.1, -3.3) and (5.1, 3.4) has distance greater than 6 unit. Options A and B are correct.

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Answer:

y=2x+8

Step-by-step explanation:

The slope must be the same so the equation so far is y=2x+b

To find b, you have to multiply the given x value (-1 is the given x value) and then see how much you have to add to reach the given y value (aka 6)

-1*2=-2

6--2=8

b=8

That means that the equation is y=2x+8

Answer:

v>3

Step-by-step explanation:

2v>7-1

2v>6

v>6/2

v>3

The equation of the line in slope intercept form is y = 6x + 5

The given parameters are

Slope, m = 6

Points, (x₁, y₁) = (-2, -7)

A linear equation can be represented as

y = slope * x + y-intercept

i.e.

y = m(x - x₁) + y₁

Substitute the known values in the above equation

So, we have the following equation

y = 6(x + 2) - 7

Expand

y = 6x + 12 - 7

Evaluate the like terms

y = 6x + 5

Hence. the linear equation is y = 6x + 5

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The distance from the top of the window to the base of the wall is 5.4 m.

According to the question,

We have the following information:

The bottom of a 5.5-meter ladder is 3.3 meters from the base of a wall, and it just reaches the bottom of a window in the wall. And the window is 1 meter high.

Now, we know that the ladder, wall and base will make a right-angled triangle. We can use Pythagoras theorem to find height of the wall.

(Pythagoras theorem: square of hypotenuse = sum of squares of base and height)

Let's take height of the wall to be h meters.

[tex]h^{2}[/tex] = [tex](5.5)^{2} -(3.3)^{2}[/tex]

[tex]h^{2}[/tex] = 30.25-10.89

19.36

h = √19.36

h = 4.4 m

Now, the distance from the top of the wall window to the base of the wall is:

4.4 + height of the window

4.4+1

5.4 m

Hence, the distance from the top of the window to the base of the wall is 5.4 m.

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While walking from one corner to the opposite corner in a straight line, the bug visits 19 tiles including the first and the last tile.

A rectangle is a four-right-angle quadrilateral. A rectangle is a four-right-angle quadrilateral.. Because all of its angles are equal (360°/4 = 90°), it is also known as an equiangular quadrilateral or a parallelogram with a right angle. A non-square rectangle is sometimes referred to as an oblong.

A rectangle is a rectilinear polygon, meaning its sides intersect at right angles.

Five independent degrees of freedom define a rectangle in the plane.

The bug visits 1 tile multiplied by the number of times it crosses a horizontal or vertical line.

It has to cross nine horizontal and nine vertical lines. That bug must pay a visit.

9+9+1=19 tiles

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The missing values that completes the table is shown in the attachment below.

To complete the table that is given in the table above, plug in the value of x into the equation and solve accordingly.

For x = 1, substitute the value of x into y = 3x² and y = 3^x:

y = 3(1)²

y = 3(1)

y = 3

y = 3^(1)

y = 3

For x = 2, substitute the value of x into y = 3x² and y = 3^x:

y = 3(2)²

y = 3(4)

y = 12

y = 3^(2)

y = 9

The complete table is shown below.

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Answer:

x=0.75

Step-by-step explanation:

5x=3.75

/5.  /5

x=0.75

Hopes this helps please mark brainliest

Answer:

16.97

Step-by-step explanation:

Oliver has to pay an amount of B: $90 with simple interest.

We know simple interest (SI) is given by SI = (p×r×t)/100, where

p = principle, r = rate in percentage, and t = time in years.

Given, Oliver borrowed $1,500 to purchase a riding lawn mower for his lawn care business.

The bank offered him an interest rate of 12% for 6 months.

P = $1500, r= 12% and t = 6 months or 1/2 or 0.5 years.

∴ SI = (1500×12×0.5)/100.

SI = 15×6.

SI = $90.

The amount of simple interest Oliver has to pay is $90.

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The rewritten expression will be 4a³ and the value of this expression is -500.

Given in the question:

(2a⁴)² / a⁰a⁵

We know that

(xy)ⁿ = xⁿ × yⁿ ... (i)

We can use equation (i) for the next step of our given expression.

In the case of the numerator:

(2a⁴)² = 2² × a⁸ = 4a⁸

Now, we know, any number to the power of zero is 1.

So, for the denominator, we get:

a⁰a⁵ = 1 × a⁵ = a⁵

We know,

pˣ / pʸ = y ⁽ˣ⁻ʸ⁾ ... (ii)

Using this equation, we can further simplify the given expression:

⇒ 4a⁸ / a⁵

⇒ 4 a⁽⁸ ⁻ ⁵⁾

⇒ 4 a ³ ... (iii)

Now, in the second part of the question, we need to find the value of the expression.

Given a = -5

Putting this value in equation (iii) we get:

4 a ³

⇒ 4 (-5) ³

⇒ 4 × (-125)

⇒ -500

Hence, the simplified expression is 4 a ³ and the value of the simplified equation is -500.

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Answer:

241

Step-by-step explanation:

9 x 12 = 108 m (area of square)

19 x 14 = 266 / 2 = 133 (area of triangle)

108 + 133 = 241

The point (8, 6) represents that when there was 8 cm rainfall the plant grew 6 mm. When the plant grew 12 mm in one season, there were 16 mm rainfall

The graph shows the proportional relationship between rainfall during the growing season and seasonal growth of a type of plant

The x axis represents the rainfall during the growing season and y axis represents the seasonal growth of a type of plant.

The point (8, 6) represents that when there was 8 cm rainfall the plant grew 6 mm.

8 represent the x axis measurement and 6 represent the y axis measurements

When the plant grew 12 mm in one season, there were 16 mm rainfall

Hence, the point (8, 6) represents that when there was 8 cm rainfall the plant grew 6 mm. When the plant grew 12 mm in one season, there were 16 mm rainfall

The complete question is:

The graph shows the proportional relationship between rainfall during the growing season and seasonal growth of a type of plant. What does the point ​(​8,6​) ​represent? If the plants grew 12 mm one​ season, how much rain​ fell?

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Answer:

x-variable    y-variable    Inequalities

calculus       physics        7≤x≤14

                                        8≤y≤12

                                        x+y≤23

Step-by-step explanation:

The inverse function is given as s⁻¹ = [tex]\frac{t^2+4t-12}{t^2-9t+14}[/tex] and the equation represents the average sales each day for the real estate company would be [tex]s^{-1}=\frac{t+6}{t-7}[/tex].

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

A real estate company balances the books for its business on the first day of each month.

It hopes to sell houses every other day of the month.

The average number of houses, S, the company sells each day, t is represented by the inverse of the function given below.

               [tex]s^{-1}=\frac{t^2+4t-12}{t^2-9t+14}[/tex]

Then the inverse function can be written as

                   [tex]s^{-1}=\frac{t^2+4t-12}{t^2-9t+14}\\\\s^{-1}=\frac{t^2+6t-2t-12}{t^2-7t-2t+14}\\\\s^{-1}=\frac{(t+6)(t-2)}{(t-7)(t-2)}\\\\s^{-1}=\frac{t+6}{t-7}[/tex]

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Answer:

C. [tex]S=\frac{7t+6}{t-1}[/tex]

Step-by-step explanation:

I got it right on the exam.

First, take the equation and inverse it, replace and t with y and the y with t

[tex]y=\frac{t^{2}+4t-12}{t^{2}-9t+14} \\\\t=\frac{y^{2} +4y-12}{y^{2}-9y+14}[/tex]

Then, factor both the top and bottom

[tex]t=\frac{(y+6)(y-2)}{(y-7)(y-2)}[/tex]

You see that there is a duplicate of the (y-2) in the numerator and denominator, so they cancel out,

[tex]t=\frac{(y+6)}{(y-7)}[/tex]

Now you can start getting the y alone to make an equation,

[tex]t(y-7)=\frac{(y+6)}{(y-7)} (y-7)\\t(y-7)=(y+6)[/tex]

[tex]ty-7t=y+6\\ty-7t-y+7t=y+6-y+7t\\ty-y=7t-6\\y(t-1)=7t-6\\\frac{y(t-1)}{(t-1)} =\frac{7t-6}{t-1} \\y=\frac{7t-6}{t-1}[/tex]

The probability of choosing 3 men and 3 women to form the committee is 0.4329 and the probability to select exactly 2 people from the human resources is 0.4545.

It is given that there are 12 employees.

The number of male employees is 6

number of female employees is 6

A committee of 6 is to be formed. We need to find the probability that out of 6, 3 are male and 3 are female.

Let A be the event of having 3 men and 3 women on the committee

The total number of ways to choose 6 people is

¹²C₆

Probability = number of favorable outcomes / total number of outcomes

n(A) = ⁶C₃   X  ⁶C₃

Therefore,

P(A) = (⁶C₃   X  ⁶C₃) / ¹²C₆

= (20  X  20) / 924

= 400/924

= 0.4329

It is given that the number of employees in human resources from the group is 4

Let B be the event to choose exactly 2 employees from the human resource

n(B) = ⁴C₂  X  ⁸C₄

P(B) = ⁴C₂  X  ⁸C₄ / ¹²C₆

= 6 X 70 / 924

= 420 / 924

= 0.4545

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It takes Lena to compress the accordion completely and then stretch it back out to a length of 50cm.

It takes Lena 4.1 seconds to compress the accordion completely and then stretch it back out to a length  of 50cm.

I am assuming the function without a T: [tex]A(t) = 25_{cos}(t)+65[/tex]

The function is graphed in the figure attached, and the blue line is [tex]y = 50cm[/tex].

From the graph we see that the accordion is completely stretched  (has minimum length) at [tex]t = \pi[/tex] seconds, and stretches back  to 50cm at [tex]t = 4.069s[/tex]; therefore, it takes Lena 4.069 seconds to stretch the accordion back again, which to the nearest tenth of a second is  4.1s.

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Answer: 1.3s

Step-by-step explanation:

If you're solving for  [tex]A(t)=25cos( \pi t)+65\\[/tex]

Jeanne can make 3 pairs of shorts with 3 7/8 yards of fabric.

What do you mean by ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

The total amount of fabric = 3 7/8 yards = 31/8 yards.

Amount of fabric needed to make 1 pair of shorts = 1 1/4 = 5/4 yards.

The number of shorts that can be made = 31/8 ÷ 5/4

⇒ 3.1 so it will be 3 because no relevance of decimal shorts.

Hence "Jeanne can make 3 pairs of shorts with 3 7/8 yards of fabric".

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Answer:

1 carton

Step-by-step explanation:

3 (7/10)= 21/10

1/3 of 21/10= 7/10

7/10=1 carton

Answer:

y=3+5x

Step-by-step explanation:

Add 5x to both sides.

The Missing Lengths are AB = 10 units, OP = 10 units and f = 4 units

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

When two triangles ΔABC and ΔXYZ are similar then

                    AB/XY = BC/YZ = AC/XZ

Here we have

ΔABC and ΔOPQ which are similar and right-angled triangles

As we know in a right-angled triangle

=>  Hyp² = side² + side²  

From ΔABC,

AB² = AC² + BC²  

=> AB² = 6² + 4²

=> AB² = 100 = 10²

=> AB = 10 units

Since  ΔABC and ΔOPQ are similar

=>  AB/OP = BC/OQ = AC/PQ  

=>  10/OP = 4/ f = 6/ 6

Take 10/OP = 6/ 6  

=>  6(10) = 6(OP)

=>  OP = 10 units  

4/ f = 6/ 6  

=> f = 4 units    

Therefore,

The Missing Lengths are AB = 10 units, OP = 10 units and f = 4 units

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Answer:

Step-by-step explanation:[tex]x2{12}5\\ =18[/tex]

The greatest even integers that the 5 consecutive number has a sum of - 80 is - 12.

Even numbers are those numbers that can be divided into two equal groups or pairs and are exactly divisible by 2.

Therefore, even integers are integers that are even.

There are 5 consecutive even integers with a sum of –80.

let

x = first integers

Therefore,

x + x + 2 + x + 4 + x + 6 + x + 8 = - 80

5x + 20 = - 80

5x = -80 - 20

5x = - 100

divide both sides by 5

x = - 100 / 5

x = -20

Therefore,

greatest integer = - 20 + 8 = - 12

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The equation of a line for y-intercept and the coordinate point is y=3x-1.

Given that, y-intercept is -1 and the line passes through the point (3, 8).

In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

Put, c=-1 and (x, y)=(3, 8) in y = mx+c, we get

8=m(3)-1

⇒ 3m=9

⇒ m=3

Substitute c=-1 and m=3 in y = mx+c, we get

y=3x-1

Therefore, the equation of a line for y-intercept and the coordinate point is y=3x-1.

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