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Answer:

0.55

Step-by-step explanation:

In this question we need to find the Z score says that the area under the standard normal curve to the right is 0.29. So here in this question I have drawn here the normal distribution curve. So at this point we need to calculate the z value And with the probability of 29%. So to find the value of Z says that probability of zero great Small, that is equal to 0.29. So I can write this left hand side as one minus probability of less than small. It's called a 0.29 probability of zero, less than or equal to zero will do 0.29 one minus .29 which is equal to 0.71. So here we know the value of probability And we need to find the value of zero and there are various methods to calculate that one is the using the normal distribution tables and then there is the um MS Excel should. So from the table you can find the area closest to 0.71. So here the flow chart for finding me value. Using normal distribution table is given. So the first thing is from this table of the standard normal distribution, look at the probability value. So as you can see from this this is the snapshot of the table we need to find the probability value. So We have got the value of 0.71. So this is the nearest value to that you need to, next second is move left until the first column is reached. So move left until the first column is rich. This is the first column. Move upward until the top row is rich. Note that value. So here as you can see it is 0.5 and here it is 0.05. The intersection of the Roman columns gives the area of the two day loves. So which is 0.5 Plus 0.05 is equal to zero 55. This is the value of Z. Or as you can use the um xxl shoot to calculate the value of Z. Here, I have given the flow chart for that. Also you can use this to calculate the value of Z. So probability of mhm Less than or equal to 0.55 Is equal to 0.71. This is the answer. 0.55 is the answer for the solution.

Answer:

________________________________________________________

Multiply all numbers by the multiplier, the smaller number, and then use any extra digits you carry, bringing you to the ten thousands place.

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Ask me in the comments box, I can help.

Answer:

Step-by-step explanation:

Given, The length of a rectangle is 10 ft less than three times the width, and the area of the rectangle is 77 ft²

Let's assume width of rectangle be x feet and Length of rectangle be 3x - 10. Using the formula of area of the rectangle we'll find the dimensions of the Rectangle.

[tex] \\ \dashrightarrow{ \red{\underline{\underline{\sf{Area (rectangle) = Length \times width }}}}} \\ \\ [/tex]

Substituting the required values:

[tex]\dashrightarrow \: \: (3x-10)(x) = 77 \\ [/tex]

[tex]\dashrightarrow \: \: 3x^2 - 10x = 77 \\ [/tex]

[tex]\dashrightarrow \: \: 3x^2 -10x -77 = 0 \\ [/tex]

[tex]\dashrightarrow \: \:3x^2 + 11x -21x -77 = 0 \\ [/tex]

[tex]\dashrightarrow \: \: x(3x+11)-7(3x+11) = 0 \\ [/tex]

[tex]\dashrightarrow \: \: (x-7)(3x+11) = 0 \\ [/tex]

[tex]\dashrightarrow \: \: { \red{\underline{\underline { x = 7 \: or \: \dfrac{-11}{3}}}} } \\ \\ [/tex]

Hence,

[tex] \therefore[/tex] The required dimensions of rectangle are 11 feet and 7 feet.

The dimensions of the given rectangle with an area of 77 ft^2 and given dimensions are; Length = 11 ft and Width = 7 ft

Formula for area of a rectangle is;

A = Length * Width

We are given;

Length; L = 3W - 10

Thus;

Area; A = W(3W - 10)

Thus;

W(3W - 10) = 77

3W² - 10W - 77 = 0

Using online quadratic equation calculator, we have;

W = 7

Thus;

L = (3*7) - 10

L = 11 ft

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Answer:

Step-by-step explanation:

The coefficients of x and y in the first equation will be the 2 x 2 matrix first row and the coefficients of x and y in the second equation will be the second row:

[tex]\left[\begin{array}{ccc}9&5\\2&-10\\\end{array}\right]\left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}-16\\-48\\\end{array}\right][/tex]

When you take the inverse of that 2 x 2 matrix and multiply it with the right side matrix (-16 -48), you can find the solution for x and y.

Δ perimeter of swimming area:

Δ area of roped off section:

Answer:

The answer is 37.

Step-by-step explanation:

First of all we use Pemdas. Add the parantheses first. So its 7-18(-5/3) then you multiple the -18 to 5/3 Because after Parantheses its Exponents multiplication. So it becomes 30. Then you add 7 to get 37. I hope this is helpful.

Answer:

Step-by-step explanation:

In order to solve this equation, we need to take the square root of both sides (in order to get rid of the square and isolate x, because we are asked to determine the value(s) of x)

x²=36

√x²=√36

x=6

Is this the only solution?

A negative times a negative is a positive...

-6 is another solution of this equation! :)

Hence, the answers are:-

[tex]\boxed{\boxed{\bold{x=6; ~x=-6}}}[/tex]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Hello! My name's Cupcake, And I will be helping you today! :D

In order to solve this equation, we need to take the square root of both sides.

Why? Because we need to isolate x. Our goal is:- To find the value of x.

So in order to get rid of the square and find the value of x, we take the square root of both sides:-

x^2=36

x=6, x=-6 (solutions)

Hope it helps!

Any queries - comment !

Answer:

I dont see any triangle but the sum of the interior angles of every triangle is 180

Step-by-step explanation:

<+<+<=180˚

The angle that would be used to show the number of children that chose tomato soup on a pie chart is 200°.

A pie chart displays data in a circle. The sum of angles in a pie chart is 360 degrees

The first step is to determine the angle that would be used for children that chose chicken soup:  1/4 x 360 = 90

Remaining angle = 360 - 90 = 250 degrees.

Angle that can be used to represent the children that chose tomato soup: 4x + x = 250

5x = 250

x = 50

50 x 4 = 200 degrees

To learn more about pie charts, please check: https://brainly.com/question/26250795

Answer:

-14

Step-by-step explanation:

We have two points

(2010, 320)  and ( 2020, 180)

The slope is

m= ( y2-y1)/(x2-x1)

   = ( 180-320)/(2020-2010)

   = -140/10

   = -14 lbs/ year

Answer:

i think last one is the right answer

Step-by-step explanation:

y=1/3x

Answer:

centroid (2, 2.666666666...)

circumcenter (2, 1.75)

orthocenter (2, 2.5)

Step-by-step explanation:

the coordinates of the centroid of a triangle are

((x1 + x2 + x3)/3, (y1 + y2 + y3)/3)

so, we have

(-4 + 2 + 8)/3 = 6/3 = 2 = x

(0 + 8 + 0)/3 = 8/3 = y = 2.666666666...

the circumcenter is the crossing point of the lines going perpendicular through the midpoint of each side.

the orthocenter is the crossing point of the lines going perpendicular on each side through the opposing vertices (the heights of the triangle).

so, we need to calculate additionally the slopes of 2 sides and their midpoints before we can get these 2 centers. the third side would only confirm the result but not provide additional information.

A = (-4, 0), B = (2, 8), C = (8, 0)

midpoint D of AC = ((-4 + 8)/2, (0+0)/2) = (2, 0)

the slope of AC is

(y2 - y1)/(x2 - x1) = (0 - 0)/(8 - -4) = 0/12 = 0 (a flat line)

the slope of the perpendicular line is -1/slope of original line. which is -1/0 = -infinity.

but don't worry, that means it is a constant line x = ...

and since it has to go through the midpoint D, the perpendicular line is x = 2

midpoint E of BC = ((2+8)/2, (8+0)/2) = (5, 4)

the slope of BC is

(0-8)/(8-2) = -8/6 = -4/3

so, the slope of the perpendicular line is 3/4.

that line is then y = 3/4 x + b

it has to go through the midpoint E

4 = 3/4 × 5 + b = 15/4 + b

16 = 15 + 4b

4b = 1

b = 1/4

so, the full perpendicular line is

y = 3/4 x + 1/4

crossing both perpendicular lines is simply using the first in the second equation :

y = 3/4 × 2 + 1/4 = 6/4 + 1/4 = 7/4 = 1.75

for the orthocenter we can use the same slopes, but the lines go now through the opposing vertices instead through the side midpoints.

so, line 1 is going through B, which makes it also x = 2.

line 2 is going through A, so

0 = 3/4 × -4 + b

0 = -1 + b

b = 1

line 2 is then

y = 3/4 x + 1

crossing these 2 lines gives us

y = 3/4 × 2 + 1 = 6/4 + 4/4 = 10/4 = 5/2 = 2.5

Answer:

x = 5

x = -15

Explanation:

Let the number be "x"

===================

Answer:

x= 5 or -15

Step-by-step explanation:

let the number be x

(x+5)^2=100

x^2+10x+25=100

x^2+10x-75=9

look for factors of 75 that when you gives you 10 and when you multiply gives you -75

those factors are 15 and -5

replace 10x with 15x and -5x

x^2+15x-5x-75=0

then group them, and factorize

x(x+15)-5(x+15)=0

x-5=0 or x+15=0

x= 5 or x= -15

Answer:

i guess not similar....

Step-by-step explanation:

Answer:

At this point, you have walked 17/24 miles in all.

Hope this helps

Answer:

There would be 104 rooms on 4 floors in total.

Step-by-step explanation:

If there were 26 rooms on 2 floors, then you multiply 26 x 4, the result would be 104 rooms on 4 floors in total.

Answer:

52 rooms

Step-by-step explanation:

you could set up a proportion to solve this

26 rooms/ 2 floors = ?/4 floors

to find the answer for the question mark you can divide the amount of rooms by floors and get 13.

With the 13 you can multiply that by 4 to get 52 rooms. You basically used the 13 as the amount of increase

i hope this helped

if you have anymore questions feel free to ask again:3

Answer:

1a. 210 m^2  1b. 14 ft^2  1c. 199.5 in^2

2a. 270 cm^2  2b. 162 m^2  2c. 272 cm^2

3a. 348 ft^2  3b. 230 in^2  3c. 312.5

Step-by-step explanation:

The area of a triangle can be calculated with one equation...

A = 1/2bh

b stands for base, h stands for height

1a. A = 1/2(21)(20)

    One half divides 20 easily..

A = 21(10)

A = 210

1b. A = 1/2(7)(4)

    One half divides 4 easily..

A = 2(7)

A = 14

1c. A = 1/2(19)(21)

A = 1/2(399)

A = 199.5

2a. A = 1/2(36)(15)

    One half divides 36 easily..

A = 18(15)

A = 270

2b. A = 1/2(18)(18)

   One half divides 9 easily..

A = 9(18)

A = 162

2c. A = 1/2(32)(17)

  One half divides 32 easily..

A = 16(17)

A = 272

3a. A = 1/2(29)(24)

  One half divides 24 easily..

A = 12(29)

A = 348

3b. A = 1/2(23)(20)

  One half divides 20 easily..

A = 10(23)

A = 230

3c. A = 1/2(25)(25)

A = 1/2(625)

A = 312.5

Finding area of triangle --> [tex]\frac{1}{2}*b*h[/tex]

     Question 1:

         a.   [tex]Area = \frac{1}{2}*b*h = \frac{1}{2}*20*21 = 210 m^2[/tex]

         b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2}*4*7 = 14 ft^2[/tex]

         c. [tex]Area = \frac{1}{2}*b*h= \frac{1}{2} *21*19=199.5in^2[/tex]

     Question 2:

         a. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *36*15 = 270cm^2[/tex]

         b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *18*18 = 162m^2[/tex]

         b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *17*32 = 272cm^2[/tex]

     Question 3:

         a. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *24*29 = 348ft^2[/tex]

         b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *20*23 = 230in^2[/tex]

         c. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *25*25 = 312.5cm^2[/tex]

Finding Area of Parallelogram --> b * h

     Question 1

         a. [tex]Area = b * h = 24 * 26 = 624cm^2[/tex]

         b. [tex]Area = b * h = 15 * 30 = 450in^2[/tex]

         c. [tex]Area = b * h = 21 * 31 = 651 mm^2[/tex]

      Question 2

         a. [tex]Area = b * h = 18 * 17 = 306 in^2[/tex]

         b. [tex]Area = b * h = 10.5 * 15 = 157.5m^2[/tex]

         c. [tex]Area = b * h = 12.5*11=137.5cm^2[/tex]

      Question 3:

          a. [tex]Area = b * h = 5.7*11.5=65.55in^2[/tex]

          b. [tex]Area = b * h = 8 * 12.5 = 100ft^2[/tex]

          c. [tex]Area = b * h = 1.7 * 3.6 = 6.12m^2[/tex]

Hope that helps!

Answer:

No

Step-by-step explanation:

6 time 180 is only 108

108<120

There is not enough chalk.

Answer:

1, 5

Step-by-step explanation:

I may be a little wrong but;

Multiply it by 3 and 4-

-12x+9y=-51

12x-16y=44

-7y=-7

y=1

x=5

Answer:

Jason can afford 5 more additional lines, making 9 lines total because

175-120=55

55/10=5.5 so He can not afford more than 5 more additional lines.

Step-by-step explanation:

Answer:

5.11811 inches

Step-by-step explanation:

For questions 4 – 6, name all of the radii of the circle shown in the figure.

For questions 7 – 10, find the measure of the radius of the circle. 7. 8.

Answer:

center(-2,5) r=6

The amount of mg required per kg for the patient is 2,438.1mg/kg

Proportions are ratios of two integers.

Given the medication with a strength 125mg/5ml which has been ordered at 25 mg/kg.

For a patient that weighs 215lb, the weight in kg will be 97.5224kg

Since 25mg = 1 kg

x = 97.5224kg
x = 25 * 97.5224
x = 2,438.06

Hence the amount of mg required per kg for the patient is 2,438.06mg/kg

Learn more on ratio and proportion here: https://brainly.com/question/19994681

Answer:

As Per Provided Information

We have been asked to find the length , perimeter and area of square .

First let's calculate the side of square .

Using Formulae

[tex] \boxed{\bf \:Diagonal_{(Square)} \: = side \sqrt{2}}[/tex]

On substituting the value in above formula we obtain

[tex] \qquad\longrightarrow\sf \:4 \sqrt{2} = side \sqrt{2} \\ \\ \\ \qquad\longrightarrow\sf \:4 \cancel{\sqrt{2}} = side \cancel{ \sqrt{2}} \\ \\ \\ \qquad\longrightarrow\sf \:side \: = 4 \: cm[/tex]

Therefore,

Finding the perimeter of square.

[tex] \boxed{\bf \: Perimeter_{(Square)} = 4 \times side}[/tex]

Substituting the value we obtain

[tex]\qquad\longrightarrow\sf \:Perimeter_{(Square)} \: = 4 \times 4 \\ \\ \\ \qquad\longrightarrow\sf \:Perimeter_{(Square)} = 16 \: cm[/tex]

Therefore,

Finding the area of square .

[tex] \boxed{\bf \: Area_{(Square)} = {side}^{2}}[/tex]

Substituting the value we get

[tex]\qquad\longrightarrow\sf \:Area_{(Square)} \: = {4}^{2} \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Square)} = 16 \: {cm}^{2} [/tex]

Therefore,

Although Alex and Lauren will both step into position 4,6, they will not do it at the same time, so they will not meet.

Lauren:

Alex:

Both will step in the position 4,6, However, Lauren will be in this positon in the second 4, while Alek will do it on the second 3.

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Using the normal distribution, it is found that the value of x is of 3.585.

In a normal distribution 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]

In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 2.5, \sigma = 0.5[/tex].

The value of x is the 100 - 1.5 = 98.5th percentile, which is X when Z = 2.17, hence:

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

[tex]2.17 = \frac{X - 2.5}{0.5}[/tex]

[tex]X - 2.5 = 0.5(2.17)[/tex]

[tex]X = 3.585[/tex]

Hence the value of x is of 3.585.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

Easy! The answer is $4,150

Step-by-step explanation:

The $350 is interest so we will take that away from the maturity value to get 4,150!

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