Andrew wants to build a square garden and needs to determine how much area he has for planting the perimeter of the garden is between 12 and 14 feet what is the range if the possible areas

Answer:

A value of 6.0415 centimeters separates the bottom 7%, while a value of 6.2185 centimeters separates the top 7%.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 6.13 centimeters and a standard deviation of 0.06 centimeters.

This means that [tex]\mu = 6.13, \sigma = 0.06[/tex]

Value that separated the top 7%:

The 100 - 7 = 93rd percentile, which is X when Z has a p-value of 0.93, so X when Z = 1.475.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.475 = \frac{X - 6.13}{0.06}[/tex]

[tex]X - 6.13 = 1.475*0.06[/tex]

[tex]X = 6.2185[/tex]

Value that separates the bottom 7%:

The 7th percentile, which is X when Z has a p-value of 0.07, so X when Z = -1.475.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.475 = \frac{X - 6.13}{0.06}[/tex]

[tex]X - 6.13 = -1.475*0.06[/tex]

[tex]X = 6.0415[/tex]

A value of 6.0415 centimeters separates the bottom 7%, while a value of 6.2185 centimeters separates the top 7%.

Answer:

Step-by-step explanation:

(x+3)(x+1)=1

x²+3x+x+3=1

x²+4x+2=0

x²+4x+4=-2+4

(x+2)²=2

x+2=±√2

x=2+√2

and x=2-√2

so x≠-3

and x≠-1

6/9 - 7/9 = -1/9

is a negative number.

9514 1404 393

Answer:

  P' = (3, -5)

Step-by-step explanation:

Rotation 180° about the origin is the same as reflection across the origin. The transformation is given by ...

  (x, y) ⇒ (-x, -y) . . . . . . the signs of the coordinates are both changed

  P(-3, 5) ⇒ P'(3, -5)

Answer:

i^−3 = i

i^−2 = −1

i^−1 = −i

i^0 = 1

i^1 = i

i^2 = −1

i^3 = −i

i^4 = 1

i^5 = i

i^ 6 = −1

See the pattern

Answer:

0.25

Step-by-step explanation:

Given that :

Charity raffle price = $1000

Amount of ticket sold = 4000

Only one winner is to be selected ;

Point ticket buyer is expected to break even :

Probability of winning = 1 / number of ticket sold = 1 / 4000 = 0.00025

P(winning) * raffle price = 0.00025 * 1000 = 0.25

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

Vertical angles have the same measure, so ...

  m∠A = m∠B

  (5x -9)° = (8x -30)°

  21 = 3x . . . . . . . . . divide by °, add 30-5x

  7 = x . . . . . . . . . . divide by 3

Answer:

The volume of the sphere is 2048 in³.

Step-by-step explanation:

The volume of a sphere is given by:

[tex] V = \frac{4}{3}\pi r^{3} [/tex]

Where:

r: is the radius = 8 in

Having the radius and by using 3 for π, the volume is:

[tex] V = \frac{4}{3}*3 (8 in)^{3} = 2048 in^{3} [/tex]

Therefore, the volume of the sphere is 2048 in³.

I hope it helps you!        

Answer:

189 ft²

Step-by-step explanation:

Here is the formula...

1/2 * 6 * 36 + 81

Hope this helps

Answer:

The resistance is 484 ohm.

Step-by-step explanation:

An incandescent lamp has the following data inscribed on its bulb. U= 220 V and P = 100 W. Knowing the relations U = R. i and P = U. i , it can be stated that the value of the resistance R of the lamp during operation is, in omhs:

P = 100 W

V = 220 V

Let the current is I.

P = V I

100 = 220 I

I = 0.45 A

Now,

V = I R

220 = 0.45 x R

R = 484 ohm

The resistance is 484 ohm.

Solution :

Using the TI-84 PLUS calculator

a). Area : 0.41

μ = 75

σ = 9

InvNorm(0.41,75,9)

= 72.95209525

Therefore, the 41st percentile of the scores is 72.95209525

b).  Area : 0.74

μ = 75

σ = 9

InvNorm(0.74,75,9)

= 80.79010862

Therefore, the 74st percentile of the scores is 80.79010862

c). 8%

So,  Area : 0.92

μ = 75

σ = 9

InvNorm(0.92,75,9)

= 87.64564405

Therefore, X =  80.79010862

Given:

The graph of a function.

To find:

The range of the given function using interval notation.

Solution:

Range: The set of y-values or output values are known as range.

From the given graph, it is clear that the function is defined for [tex]0<x<4[/tex] and the values of the functions lie between -2 and 2, where -2 is excluded and 2 is included.

Range [tex]=\{y|-2<y\leq 2\}[/tex]

The interval notation is:

Range [tex]=(-2,2][/tex]

Therefore, the range of the given function is (-2,2].

Answer:

the anwer is B ( i mean second option)

And you can try it

you will find ;

[tex]y = \frac{x}{3} - 1[/tex]

HAVE A NİCE DAY

Step-by-step explanation:

GREETİNGS FROM TURKEY ツ

The required solution for the given expression (c² - 4c + 7) - (7c² - 5c + 3) is -6c² + c + 4.

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

(c² - 4c + 7) - (7c² - 5c + 3)

Simplify the expression by solving bracket terms,

c² - 4c + 7 - 7c² + 5c - 3

Further, solve the expression by using mathematical operations,

-6c² + c + 4

The solution for the given expression is -6c² + c + 4.

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Answer:

4

Step-by-step explanation:

p=120 -5Q

when p = 80

80 = 120 -5Q

Q=8

and when p= 60

60 = 120 -5Q

Q=12

so, change in consumer surplus = 12-8

= 4

Explanation:

There are 8 different flavors and 3 types of cones. This means there are 8*3 = 24 different combos possible.

Imagine a table with 8 rows and 3 columns. Each row is a different flavor and each column is a different cone type. The table formed has 24 inner cells to represent a different combination of flavor + cone type. So that's why we multiplied those values earlier.

Note: This only works if you're only able to select one type of flavor.

Answer:

2×(6ײ+3×-1)=18.

2×(6×3×+4)(6×4×-3)=144

2×(6×3×-2)(4×2+4×-6)=1154..

12×2=24

12×2+7×-12=60

12×2+25×-12=276

12×3+4×2-10×+12=76

12×3+4×2-26×+12=8

12×3+6×2-2=46

Answer:

21.4 m

Step-by-step explanation:

Let x represent the sum of the tall metal, medium metal and short metal heights. Since the tall metal has a length of 1.44 m, and the ratio is in 9:8:7, hence:

(9/24) * x = 1.44

x = 3.84 m

For the medium metal pieces:

(8/24) * 3.84 = medium metal height

medium metal height = 1.28 m

For the short metal pieces:

(7/24) * 3.84 = short metal height

short metal height = 1.12 m

Total horizontal metal piece length  = 3 * 1.8 m = 5.4 m

Total tall metal piece length  = 2 * 1.44 m = 2.88 m

Total medium metal piece length  = 5 * 1.28 m = 6.4 m

Total short metal piece length  = 6 * 1.12 m = 6.72 m

Total length of metal = 5.4 + 2.88 + 6.4 + 6.72 = 21.4 m

Perimeter = namely the length of outside bordering,

well, this is a PENTAgon, or PENTA=5 or namely 5 sides, is regular so each side is the same length, so we have a polygon with 5 sides each measuring 40cm, well, its perimeter is just 40+40+40+40+40 = 200.

the answer is in the picture above

Answer:

r is the radius of the base and s is the slant height of the cone. From the options given, We can make s the subject of the formula. Hence: Option a) s equals StartFraction L A Over pi r EndFraction

Two equivalent equations are s = LA/πr and r = LA/πs

A cone is a shape formed using a series of line segments or lines that connect a common point, called a apex or vertex, to all points on the base of a circle that do not contain a vertex. The distance from the apex of the cone to the base is the height of the cone. A circular base has a measured radius value. And the length from the apex of the cone to any point around the base is the height of the slope. Equations for the surface area and volume of a cone can be derived from these quantities

Volume(V) = ⅓ πr²h cubic units

The total surface area of the cone = πrs + πr²

where, r is radius of the base, s is slant height and h is height of the cone

Given,

Lateral area of cone is denoted by LA

Lateral area of cone = πrs

where r is radius and s is slant height

⇒ LA = πrs

⇒ s = LA/πr

⇒ r = LA/πs

Hence, s = LA/πr and r = LA/πs are two equivalent equations in the given options.

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Answer:

A

Step-by-step explanation:

edge 2021

Answer:

y = 4x + 26

Step-by-step explanation:

y = mx + b

The slope (m) is equal to 4.

y = 4x + b

To find the y-intercept (b), plug in the point given.

6 = 4(-5) + b

6 = -20 + b

26 = b

The answer is y = 4x + 26.

Answer:

The equation of the line passing through (-5, 6) with a slope of 4 is

y = 4x + 26

Step-by-step explanation:

An equation of a line would always have the following structure...

y = mx + b

In this equation, "y" is the y coordinate of the point, "x" is the x coordinate of the point, "m" is the slope, and "b" is the y coordinate of the y-intercept. We know all the values except "b", but we can find the value of "b" by substituting all the other values into the equation...

y = mx + b

6 = 4(-5) + b

6 = b - 20

b = 6 + 20

b = 26

Therefore, the equation of the line passing through (-5, 6) with a slope of 4 is y = 4x + 26

Answer:

B. 0.41

Step-by-step explanation:

Binomial experiment:

In a binomial experiment, the probability of the success on each trial is always the same.

The probability of success on trial 4 is 0.41.

This means that the probability of success on trial 8, and all the other 10 trials, is of 0.41, and thus the correct answer is given by option B.

Answer:

B

Step-by-step explanation: Because Donald asks a more broad and open question which people could give different answers too

Answer:

x = 3 , y = 4

Step-by-step explanation:

5x + y = 19 --------- ( 1 )

=> y = 19 - 5x

7x - 2y = 13 ------------ ( 2 )

Substitute y in ( 2 ) :

                        7x - 2( 19 - 5x ) = 13

                        7x - 38 + 10x = 13

                        17x = 13 + 38

                        17x = 51

                           x = 3

Substitute x in ( 1 ) :

                           5x + y = 19

                           5( 3 ) + y = 19

                            15 + y = 19

                              y = 19 - 15

                               y = 4

Answer:

The purchase value at the 30th percentile=34.24

Step-by-step explanation:

We are given that

Mean,[tex]\mu=41.34[/tex]

Standard deviation,[tex]\sigma=13.54[/tex]

We have to find the purchase value at the 30th percentile.

[tex]xth percentile =\mu+Z\times \sigma[/tex]

Where Z is the critical value of x% confidence interval

x=30

Critical value of Z at 30% confidence interval=-0.5244

Using the formula

30th percentile=[tex]41.34+(-0.5244)(13.54)[/tex]

30th percentile=[tex]41.34-7.100376[/tex]

30th percentile[tex]\approx 34.24[/tex]

Hence,  the purchase value at the 30th percentile=34.24

Answer:

Well, divide the shape into rectangles,

triangles or other shapes after that, you can find the area of and then add the areas back together.

Step-by-step explanation:

The area of composite shapes is defined as the area covered by any composite shape. A composite shape is made up of basic shapes put together. Thus, the area of the composite shape is found by individually adding all the basic shapes.

To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.es

Answer:

547737

Step-by-step explanation:

So first when know that the equation for exponentinal growth is f(x)=a(1+r)^x

Then you need to substitue so it would be f(x)=350,000(1+0.0775)^6

So then you would add the 1 and 0.0775 to equal 1.0775

So now its f(x)=350,000(1.0775)^6

So after that following PEMDAS, you would basically do 1.0775 to the power of 6 and get 1.56496155465

After you would do 1.56496155465 times 350,000 and that would be 547736.544129 and since its to the nearest whole number the answer would be 547737

Hopefully, that helped. If I did end up making a mistake then just comment on my answer. :)

Answer:

jonny is the winner.

Step-by-step explanation:

No. of wins harry has = 0.4

No. of wins krish has = 0.2

No. of wins jonny has = 0.3

To find the prbability of harry and jonny = 0.4 + 0.3

                                                                  =  0.7

Now to see who wins we have to add krish's wins and harry's win, because harry has the greatest number of wins.

krish = 0.2

harry = 0.4

        =  0.6

now we have all three's score, so we will now see which is the greatest number.

krish= 0.6

harry = 0.4

jonny = 0.7

The greatest number is 0.7.

Hence, jonny is the winner!

HOPE IT HELPS PLZ MARK ME BRAINLIEST :D