Can someone explain how a compass and straight-edge allow us to “measure” segments and angles. This is for Geometry... Thank you!

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Answer:

the first one is 267% and 400%

Step-by-step explanation:

but i don't know for the 2nd

Answer:

2/3 is 266.666667% of 1/4

2/3 is 400% of 1/6

Step-by-step explanation:

You just need to divide the second number by the first:

2/3 ÷ 1/4 = 2/3 · 4 = 2 2/3 which, in a percentage, is 266.666667.

2/3 ÷ 1/6 = 2/3 · 6 = 4 and 4 as a percentage is 400%

SECOND PAGE:

11.25 is 3333.3333333333% of 375

11.25 is 20% of 556.25

Answer:

x=-pie/12

sinxcosx=-1/4

multiply both sides by 2

sin2x = 2sinxcosx we know

now equation will be

sin2x = -1/2

2x=-pie/6

x=-pie/12

Answer:

$1.44

Step-by-step explanation:

Answer:

$1.44

Step-by-step explanation:

You divide $25.99 by 18 to get $1.44

ax+b-(cx+d)=

ax+b-cx+d=

x(a-c)+b-d

Answer:

$969,243  (nearest whole number)

Step-by-step explanation:

Use geometric sum formula:

\(S_n=\dfrac{a(1-r^n)}{1-r}\)

where \(a\) is the initial value and \(r\) is the common ratio

We have been told that the initial value is 52000, so \(a=52000\).

If Layla's salary increases by 2% per year, this means it is 102% of the previous year's salary. 102% = 102/100 = 1.02.  Therefore, \(r = 1.02\)

We need to calculate the sum of money earned over 16 years, so \(n = 16\)

Inputting these values into the formula:

\(\implies S_{16}=\dfrac{52000(1-1.02^{16})}{1-1.02}=\$969,243 \ \textsf{(nearest whole number)}\)

The coordinate of point D and point E will be (x, y) and (-x, y), respectively.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line in the m:n ratio, finding the mid-point of the line, etc.

Let the coordinate of the point D be (x, y).

Point E has a similar y-coordinate as point D. Then the ordinate of the points will be the same.

And the x-direction of point E is something contrary to the x-direction of point D. Then the coordinate of point E will be (-x, y).

The coordinate of point D and point E will be (x, y) and (-x, y), respectively.

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Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Explanation:

The constant of proportionality is the same as the slope for equations of the form y = kx.

To find the value of k, we divide the y over x values.

k = y/x = 12/8 = 1.5

or

k = y/x = 6/4 = 1.5

Either way the answer is 1.5

This means Ziah ran at a rate of 1.5 city blocks per minute.

For a vector-valued function

\(\mathbf f(\mathbf x)=\mathbf f(x_1,x_2,\ldots,x_n)=(f_1(x_1,x_2,\ldots,x_n),\ldots,f_m(x_1,x_2,\ldots,x_n))\)

the matrix of partial derivatives (a.k.a. the Jacobian) is the \(m\times n\) matrix in which the \((i,j)\)-th entry is the derivative of \(f_i\) with respect to \(x_j\):

\(D\mathbf f(\mathbf x)=\begin{bmatrix}\dfrac{\partial f_1}{\partial x_1}&\dfrac{\partial f_1}{\partial x_2}&\cdots&\dfrac{\partial f_1}{\partial x_n}\\\dfrac{\partial f_2}{\partial x_1}&\dfrac{\partial f_2}{\partial x_2}&\cdots&\dfrac{\partial f_2}{\partial x_n}\\\vdots&\vdots&\ddots&\vdots\\\dfrac{\partial f_m}{\partial x_1}&\dfrac{\partial f_m}{\partial x_2}&\cdots&\dfrac{\partial f_n}{\partial x_n}\end{bmatrix}\)

So we have

(a)

\(D f(x,y)=\begin{bmatrix}\dfrac{\partial(e^x)}{\partial x}&\dfrac{\partial(e^x)}{\partial y}\\\dfrac{\partial(\sin(xy))}{\partial x}&\dfrac{\partial(\sin(xy))}{\partial y}\end{bmatrix}=\begin{bmatrix}e^x&0\\y\cos(xy)&x\cos(xy)\end{bmatrix}\)

(b)

\(D f(x,y,z)=\begin{bmatrix}\dfrac{\partial(x-y)}{\partial x}&\dfrac{\partial(x-y)}{\partial y}&\dfrac{\partial(x-y)}{\partial z}\\\dfrac{\partial(y+z)}{\partial x}&\dfrac{\partial(y+z)}{\partial y}&\dfrac{\partial(y+z)}{\partial z}\end{bmatrix}=\begin{bmatrix}1&-1&0\\0&1&1\end{bmatrix}\)

(c)

\(Df(x,y)=\begin{bmatrix}y&x\\1&-1\\y&x\end{bmatrix}\)

(d)

\(Df(x,y,z)=\begin{bmatrix}1&0&1\\0&1&0\\1&-1&0\end{bmatrix}\)

Perimeter of triangle = 12 + 9  = 36 units

Therefore, option B is correct

Perimeter is the distance around the edge of a shape

The given points

(-4, 5)

(8, 5)

(8, -4)

From the table, it is clear the side containing the line segment joining the points (-4, 5) and (8, 5) is a straight horizontal line.

Thus, the length of the horizontal distance from the points (-4, 5) and (8, 5) will be:

8-(-4) = 12 units

From the table, it is clear the side containing the line segment joining the points (8, 5) and (8, -4) is a straight vertical line.

Thus, the length of the vertical distance from the points (8, -4) and (8, 5) will be:

5-(-4) = 9

Now, finding the length of the side containing the segment (8, -4) and (-4, 5) using the formula:

\(\sqrt{(x -x1)^{2} +(y2^{} -y1)^{2}\)

\(\sqrt{(-4-8)} ^{2} +(5-(-4))^{2}\)

\(\sqrt{12}^{2} +9^{2}\)

\(\sqrt{144+81}\)

\(\sqrt{225}\)

\(\sqrt{15^{2} }\)

apply radical rule:

\(\sqrt[n]{a} ^{n} =a\)

\(=15\)

We know that the Perimeter of a rectangle is the length of all the sides of the triangle. Therefore, combining all the lengths of the line segments

Thus,

Perimeter of triangle = 12 + 9 + 15

                                  = 36 units

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The system of equations that can be used to find the number of medium coffees, x , and the number of large coffees, y , sold in the first hour after opening is x + y = 18 and 3x + 5y = 68.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We are given that;

Cost of medium coffee= $3

Cost of large coffee=$5

Price of 18 coffee= $68

Now, let x be the number of medium coffees sold and y be the number of large coffees sold in the first hour after opening.

We know that the total number of coffees sold is 18, so:

x + y = 18

We also know that the total sales from coffee is $68, and that the cost of a medium coffee is $3 and the cost of a large coffee is $5, so we can write:

3x + 5y = 68

Therefore, the equations will be x + y = 18 and 3x + 5y = 68.

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Answer:

x = ±12

Step-by-step explanation:

x^2 = 144

Take the square root of each side

sqrt(x^2) = sqrt(144)

x = ±12

Answer:

Choice 3

Step-by-step explanation:

\(\sqrt{144}\) is the selected answer on the image since a squared can end up as regardlessly positive, whether it is negative or positive.

The gross price for the 210 pieces that Lance completed last week is $468.6.

Percentage is a measurement to find value of given number out of hundred.

Given that,

Amount received by Lance Greene for one piece = $2.20.

Also, Lance gets 10% bonus per piece after 180 pieces.

Given that, last week Lance completed 210 pieces .

Price for 210 piece = 210 x 2.20  = 462

Also, bonus gets by Lance on 30 pieces = 30 x 2.2 x 10/100 = 6.6

Total price = 462 + 6.6 = 468.6

The required gross price is $468.6.

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Based on the information given the new balance is $289.72.

First step is to calculate the finance charge

\(\text{Finance charge}=205.16\times(0.144\div12 \ \text{months})\)

\(\text{Finance charge}=205.16\times0.012\)

\(\text{Finance charge}=2.46\)

Second step is to calculate the New balance

\(\text{New balance}=205.16+2.46+82.10\)

\(\text{New balance}=\bold{\$289.72}\)

In conclusion, the new balance is $289.72.

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Answer:

a. 44.19%

b. 127

c. 28

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

The required answers are-

a. The percentage of male in the class is 44.18%.

b . There are 127 men in the class.

c. Total number of students in the class are 28.

A percentage is a number or ratio expressed as a fraction of 100. It is generally denoted using the percent sign ''%''.

a. The percentage of male in the class :

Now its given that,

Number of males = 19

Number of females = 24

Total students = 43

Percentage of males = Number of males/Total students  *100%

⇒ Percentage of males = 19/43 *100%

⇒ Percentage of males = 44.18%

So,The percentage of male in the class is 44.18%

b . men in the class

It is given that,

Total students = 259

Percentage of males = 49%

Number of males in the class = 49% of 259

⇒  Number of males in the class = 49/100 *259

⇒  Number of males in the class = 126.91 ≈127

So,There are 127 men in the class.

c. Total number of students in the class

It is given that,

Percentage of women = 68%

Number of women = 19

Let x be the number of women in the class.

So,

68% of x = 19

⇒ 0.68x = 19

⇒ x = 19/0.68

⇒ x = 27.94

⇒ x ≈ 28

Hence,Total number of students in the class is 28

Thus, the required answers are-

a. The percentage of male in the class is 44.18%.

b . There are 127 men in the class.

c. Total number of students in the class are 28.

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Note that it is correct to state that LN ≅ MN and Nk ⊥ LM, so NK is the perpendicular bisector of LM and P is on NK. See attached image.

A perpendicular bisector is a line that cuts another line segment across the junction point at a straight angle. As a result, a perpendicular bisector always cuts a line segment through its midway. The phrase bisect implies dividing evenly or uniformly.

A simple technique to determine a perpendicular bisector is to measure the line segment you need to bisect. Then, divide the measured length by two to determine the midway. Draw a line at a 90-degree angle out from this middle.

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Full Question:

Tell whether the information in the diagram allows you to conclude that point P lies on the perpendicular bisector of LM. Explain your reasoning. See attached image.

A) No. You would need to know that LK ⊥ MK

B) No. You would need to know that KP ⊥ LM
C) Yes, t LN ≅ MN and Nk ⊥ LM, so NK is the perpendicular bisector of LM and P is on NK
D) Yes, NK ⊥ LM, so NK is the perpendicular bisector of LM and P is on NK

it would take Cody 40 bushels / 5.26 bushels per hour = 7.61 hours to pick 40 bushels of apples alone.

To begin, let's determine Lisa's individual work rate, or the amount of work she can complete in an hour.

The work formula states that the amount of work completed is equal to the product of the work rate and the amount of time spent working. Lisa's work rate is 40 bushels divided by 13 hours equals 3.08 bushels per hour.

Let C represent Cody's work rate, and let t represent the amount of time it takes him to pick 40 bushels on his own.

At the point when Lisa and Cody cooperate, they pick 40 bushels, so we can compose:

Lisa's work + Cody's work = Total work

3.08 bushels/hour * 4.8 hours + C * 4.8 hours = 40 bushels

14.78 + 4.8C = 40

4.8C = 25.22

C = 5.26 bushels per hour

Consequently, it would take Cody 40 bushels/5.26 bushels each hour = 7.61 hours to pick 40 bushels of apples alone.

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Answer:

Half maybe?

sorry it would have been easier if it told us how much exactly

9514 1404 393

Answer:

  no

Step-by-step explanation:

If this is a proportion, the ratio of y to x is constant. Here, we have ...

  y1//x1 = 64/4 = 16

  y2/x2 = 125/5 = 25

These are not the same value, so the table does not represent a proportional relationship.

_____

Additional comment

The table seemingly represents a cubic relationship, so the value for x=11 would be y = 11³ = 1331

The area of the shaded region - \(\int\limits^\frac{5\pi }{4} _\frac{3\pi }{4}\) \(cos^{2}\) 2θ dθ

Determine α, β and f(θ).

To determine α and β, imagine a clock dial that turns counter-clockwise around the origin. The shaded area must be passed over by the dial. Place the dial in its starting position, and find the angle it makes with the horizontal axis, this angle is α. Do the same for the dial's end position, this angle \(\beta\) .

To find f(θ), this equals r.

     α= \(\frac{3\pi }{4}\)

      β= \(\frac{5\pi }{4}\)

​     f(θ)=r=cos2θ

we know the integration formula,

A = \(\int\limits^\alpha _\beta\) f (θ )² dθ

Hence, the area of the shaded region:

A =    \(\int\limits^\frac{5\pi }{4} _\frac{3\pi} {4} \,\)  \(cos^{2}\) 2θ dθ

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The table that represents the relationship between Lemon poppy and Bran muffins is as under:

Lemon poppy Muffins                    Bran Muffins

22                                                             2

66                                                             6

88                                                             8

Given that a backery sells 22 Lemon Poppy Muffins for every 2 Bran Muffins.

We are required to find the table that represents the relationship between lemon poppy and Bran Muffins.

To find the table we need to just multiply 1,2,3,4,5,etc.

Table contain rows and columns which shows some relationship between variables.

Table which shows represents the relationship between lemon poppy and Bran Muffins is as under:

Lemon Poppy Muffins                     Bran Muffins

22                                                            2

44                                                            4

66                                                            6

88                                                            8

Hence the table that represents the relationship between Lemon poppy and Bran muffins is as under:

Lemon poppy Muffins                    Bran Muffins

22                                                             2

66                                                             6

88                                                             8

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The total cost of the new outfits for all the members is $264. So, the correct answer is option A.

A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.

Given that, the shirts are $21, the pants are $26, the hats are $6 and the canes are $13.

Here, the cost of outfits for a person is

(21+26+6+13)=66

The cost of outfits for the four members is

66×4=$264

Therefore, option A is the correct answer.

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Answer:

56

Step-by-step explanation:

9-6=3

12 divided by 3 is 4

4x6=24

24+4=28

Do the same to the other side and you get 28

28+28=56

Hope it’s right

The price of the cost per quart of laundry detergent is A = $ 3.47

Given data ,

Let the unit cost rate be A

Now , There are 4 quarts in a gallon, so a 2-gallon container contains 8 quarts.

To find the price per quart, we can divide the total cost by the number of quarts:

Price per quart = Total cost / Number of quarts

Price per quart = $27.76 / 8 = $3.47

Hence , the price per quart of laundry detergent is $ 3.47

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Answer:

Somewhere around 23.585

Step-by-step explanation:

The question is oddly written so I might of got it wrong.

The area of the shape is equal to 60 square centimeters

The shape is observed to be made up of a triangle and a rectangle, so we shall calculate for each area and sum the results to get the total area of the shape as follows:

area of triangle = 1/2 × 4 cm × 12 cm

area of the triangle = 24 cm²

area of the rectangle = 9 cm × 4 cm

area of the rectangle = 36 cm²

total area of the shape = 24 cm² + 36 cm²

total area of the shape = 60 cm²

Therefore, the area of the shape is equal to 60 square centimeters

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The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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