a personal trainer analyzes the progress of her clients. so she calculates the body mass index (bmi) for each. the bmis for all of her current clients are summarized in the histogram below. histogram with 5 bars of heights 1, 3, 5, 2, 1 and bar edges of 18.1, 20.7, 23.3, 25.9, 28.5, and 31.1. the horizontal axis is labeled bmi and the vertical axis is labeled clients. she would like to offer a discount to her clients that have a current bmi of at least 25.9 in order to encourage them to keep working with her. the discount is for $50 off of their next month's training. if she were to offer these, how much total money would she give in discounts next month?

The are of shade part of semi-circle is 75.36 cm^2.

What is a circle?

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. A circle is also termed as the locus of the points drawn at an equidistant from the center. The distance from the center of the circle to the outer line is its radius. Diameter is the line which divides the circle into two equal parts and is also equal to twice of the radius.

The equation of circle in the plane is given as:

(x-h)^2 + (y-k)^2 = r^2

where (x, y) are the coordinate points

(h, k) is the coordinate of the center of a circle

and r is the radius of a circle.

and Area of circle = πr²

Now,

Area of the shaded region=area of large semicircle-2*area of small semicircles

radius for large semicircle=7cm

radius for small semicircle=3.5cm

Therefore,

         Area of the shaded region=πR^2-2*πr^2

                                        =3.14(7^2-2*3.5^2)

                                         =3.14*(49-25)

                                         =3.14*24

                    Area of the shaded region =75.36 cm^2

To know more about circle visit the link

https://brainly.com/question/11833983?referrer=searchResults

#SPJ1

The scale factor that takes quadrilateral T to quadrilateral U would be = 1.6

A scale factor is defined as the factor that is used to creat a similar shape of an object with a different dimension.

The formula that is used for the new object = original object × scale factor

The original object = quadrilateral T

The new object = quadrilateral U.

The scale factor the was used to form U using the length of the quadrilateral as 16;

16 = 10 * Scale factor

This gives

Scale factor = 16/10

Scale factor = 1.6

Learn more about scale factor here:

https://brainly.com/question/28339205

#SPJ1

The time that it took to complete the race is the time it took for them to stop at the same position, hence it is of 16 hours.

For the Blue turtle, we have that:

The velocity is given by the change in position divided by the change in time, hence:

v = (10 - 10)/(13 - 6)

v = 0.

The red turtle maintained a consistent speed through the entire race, as the slope of her line is constant.

More can be learned about functions at  https://brainly.com/question/24808124

#SPJ1

Answer:The term glycol does not indicate a lack of glucose.

Step-by-step explanation:The term glycol does not indicate a lack of glucose, it refers to a specific class of organic compounds which are characterized by having two hydroxyl groups (-OH) on adjacent carbon atoms. Common examples include ethylene glycol and propylene glycol which are used in a variety of industrial and commercial applications such as antifreeze, coolants, and solvents.

Answer:

Glycopenia

Step-by-step explanation:

This is where the body lacks or shortage of glucose in the body which is properly needed.

The polynomial in descending order is

[tex]x^7[/tex] - 4[tex]x^5[/tex] + 4x³  + 2[tex]x^4[/tex] - 10

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

-4[tex]x^5[/tex] + 4x³ + [tex]x^7[/tex] - 10 + 2[tex]x^4[/tex]

Arranging in descending order means arranging the terms in their descending order of power.

Now,

[tex]x^7[/tex] > [tex]x^5[/tex] > [tex]x^4[/tex] > x³

So,

[tex]x^7[/tex] - 4[tex]x^5[/tex] + 4x³  + 2[tex]x^4[/tex] - 10

Thus,

The polynomial is:

[tex]x^7[/tex] - 4[tex]x^5[/tex] + 4x³  + 2[tex]x^4[/tex] - 10

Learn more about polynomials here:

https://brainly.com/question/2284746

#SPJ1

The interpret of P(0) is 0 and P(250) = 132.58. The domain of P is [0, ∞]

The population of Sasquatch in Portage County can be modeled by the function P(t) = 140t/(t + 14) where t represents the number of years since 1803.

We have to interpret P(0).

To interpret P(0) we put t = 0 in the function then solve the function.

The function is:

P(t) = 140t/(t + 14)

Putting t = 0

P(0) = (140 × 0)/(0 + 14)

P(0) = 0/14

P(0) = 0

Now we interpret P(250) by putting t = 250.

P(250) = (140 × 250)/(250 + 14)

P(250) = 35,000/264

P(250) = 132.58

The domain of the time cannot be negative. So the domain of P is [0, ∞].

To learn more about domain link is here

brainly.com/question/28135761

#SPJ4

The complete question is:

The population of Sasquatch in Portage County can be modeled by the function P(t) = 140t/(t + 14) where t represents the number of years since 1803. Find and interpret P(0) and P(250). Discuss with your classmates what the applied domain and range of P should be.

The value of x in the figure is 3

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or [tex]\dfrac{a}{b}[/tex]

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Given;

The ratio of line segment QP=2:6

The ratio of line segment RP=X:9

Now, to find x

2/6=x/9

x=9/3

x=3

Therefore, the value of x according to given ratio will be 3

Learn more about ratio here:

brainly.com/question/186659

#SPJ1

Therefore, the potential length of a triangle's third side is 17-11<x<17+11 is equals to 6 < x< 28.

A triangle's third side must always have a length that falls between (but not exactly equal to) the sum and difference of the other two sides. Consider the examples 2, 6, and 7 as an example. The third side length must therefore be larger than 4 and less than 8.

According to the Triangle Inequality Theorem, any two triangle sides must add up to more than the third side's length. To find the potential length of a triangle, multiply the sum of the two sides by the difference of the two sides.

Therefore, the potential length of a triangle's third side is 17-11<x<17+11.

= 6 < x< 28

Learn more about triangle Visit: brainly.com/question/30277220

#SPJ4

As a result, the third side of a triangle may be equal to 17-11<x<17+11 is equals to 6 < x< 28.

The third side of a triangle must always have a length that is between the sum and difference of the other two sides, but is not exactly equal to either. As an illustration, think about cases 2, 6, and 7. Therefore, the third side length must be more than 4 and lower than 8.

The Triangle Inequality Theorem states that any two triangle sides must add up to greater than the length of the third side. Multiply the sum of the two sides by the difference of the two sides to determine the potential length of a triangle.

Consequently, 17-11<x<17+11.= 6 < x< 28 is the possible length of the third side of a triangle.

For more questions on Triangles

https://brainly.com/question/27996834

#SPJ4

The total area of the figure is 14.35 square inches

The six-sided figure is not given, however we can deduce the following parameters from the question:

The shape is made of a triangle and a trapezoid

The side lengths derived from the question are:

The triangle on top:

base: 4 inches and height: 2.3 inches

The trapezoid at the bottom:

Parallel sides: 2.5 inches and 4 inches with a height of 3 inches

So, we have the total area of the figure to be

Area of figure = 1/2 * 4 * 2.3 + 1/2 * (2.5 + 4) * 3

Area of figure = 14.35

Hence, the total area is 14.35 square inches

Read more about area at

https://brainly.com/question/22972014

#SPJ1

Answer:

Step-by-step explanation:

dddcdcdcdc its d

Answer:

I believe the answer is 273

Step-by-step explanation:

The unshaded part would be an area of 273 because the base is 26 and the height 21. You times that and divide it by 2.

Along with that times the whole rectangle (26 x 21 = 546)

Subtract 546 and 273 and get 273.

Answer: A monomial is a polynomial with only one term. So 9p^3 and 4p are monomials.

9p^3 is a monomial with coefficient 9 and exponent 3 in the variable p.

4p is a monomial with coefficient 4 and exponent 1 in the variable p.

Step-by-step explanation:

The correct answer is that all the options are correct. Therefore option E is the correct option which states that all these answers are correct.

During the 1950s in the United States, married women who worked outside the home faced social pressures to stay at home with their children, but despite these pressures, the number of married women working outside the home increased throughout the decade. By the end of the 1950s, married women who worked outside the home accounted for nearly one-third of all married women.

It is worth mentioning that during that time, there were many societal expectations that women should be homemakers, and it was not as common for married women to work outside the home as it is today. Additionally, discrimination, lack of opportunities and lower wages for women further decreased the number of working women. However, during the 50s women started to participate more in the workforce, and that trend continued to increase in the following decades.

Therefore, The correct answer is that all the options are correct. Therefore option E is the correct option which states that all these answers are correct.

To learn more about Gender Parity in US

Visit; brainly.com/question/5170668

#SPJ4

Answer:

y- intercept = 12, x- intercept = 4

Step-by-step explanation:

to find the y- intercept, the point where the line crosses the y- axis.

let x = 0 in the equation and solve for y

y = - 3(0) + 12 = 0 + 12 = 12

then y- intercept = 12

to find the x- intercept, where the line crosses the x- axis.

let y = 0 in the equation and solve for x

0 = - 3x + 12 ( subtract 12 from both sides )

- 12 = - 3x ( divide both sides by - 3 )

4 = x

then x- intercept = 4

This depends on the number of paths that exist between point a and point b. If there are more than one path, then the number of paths that avoid the point with the surrounding circle will be one less than the total number of paths.

The number of paths from point a to point b that avoid the point with the surrounding circle will depend on the total number of paths between the two points. If there are multiple paths between the two points, then the number of paths that avoid the point with the circle will be one less than the total number of paths.

For example, if there are three paths between a and b, then two of those paths will avoid the point with the circle.

Learn more about abstract reasoning: https://brainly.com/question/17151228

#SPJ4

Answer:

The dimensions are 3, 4 and 5 inches.

Step-by-step explanation:

Area = 1/2 * height * base

6 = 1/2 * h * b

h * b = 12.

As the hypotenuse is 5 inches long

H^2 + B^2 = 5^2

From the third line: h = 12/b, so we have
(12/b)^2 + b^2 = 25

144/b^2 + b^2 = 25

144 + b^4 = 25b^2

b^4 - 25b^2 + 144 = 0

Let B = b^2, so

B^2 - 25B + 144 = 0

(B - 16)(B - 9) = 0

B = 16, 9

So, b = 4, 3

h = 12/b

= 3 , 4.

Answer: 25.90

Step-by-step explanation:

Answer:

y = 57.2 - 7.15x

Step-by-step explanation:

Let y represent the number of gigabytes left, and let x = number of games.

Originally, y = 57.2.

Each game will occupy 57.2/8 gigabytes = 7.15 gigabytes.

x games occupy 7.15x gigabytes, so for x games loaded on his computer,  the gigabytes left go down by 7.15x.

The equation is

y = 57.2 - 7.15x

Answer: After doing the problem I got,  -4x-2

Given that the reflex angle at G is x degrees, then x is equal to

A reflex angle is a type whose value falls within 180^o and 360^o. This implies that the value of the angle is greater than 180^o, but less than 360^o.

Considering the reflex angle given in the question, it can be deduced that;

m<AGE + m<GAE + m<GEA = 180^o

But,

i. m<GAB + m<GAE = 180^o    (sum of angles on a straight line)

120 + m<GAE = 180

m<GAE = 180 - 120

             = 60

m<GAE = 60^o

ii. m<GEA + m<GEL = 180^o

  m<GEA + 80 = 180

m<GEA = 180 - 80

             = 100

m<GEA = 100^o

Thus,

m<AGE + m<GAE + m<GEA = 180^o

m<AGE + 100 + 60 = 180

m<AGE = 180 - 160

            = 20

m<AGE = 20^o

Therefore,

x + m<AGE = 360  (sum of angles at a point)

x + 20 = 360

x = 360 - 20

  = 340

x = 340^o

x is equal to 340^o.

Learn more about the reflex angle at https://brainly.com/question/30195819

#SPJ1

Sammy obtained a convenient sample.

The sampling method is biased because the students in the statistics class are not representative of the entire high school population. The sample only includes the students in one particular class and does not account for the experiences or characteristics of other students in the school.

68% is likely to be greater than the percent of all students at the high school who have a driver's license.

To avoid the bias, Sammy could use a more representative sample, such as a simple random sample or a stratified sample, to ensure that the sample includes a diverse group of students from various backgrounds, classes, and demographics. This would give a more accurate representation of the experiences and characteristics of the entire high school population.

To learn more about sample here:

https://brainly.com/question/25894237

#SPJ4

The probability that Sam's first upgrade will occur after the third flight = 0.729

Let m represents the number of flights Sam must take in order to receive his first upgrade.

To find the probability that Sam's first upgrade will occur after the third flight.

i.e., to find P(m ≥ 4)

Here,  0.10 probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight.

p = 0.10

q = 1 - p

q = 0.90

P(m ≥ 4) = 1 - P(m ≤ 3)

P(m ≥ 4) = 1 - [P(m = 1) + P(m = 2) + P(m = 3)]

P(m ≥ 4) = 1 - [0.1 + (0.9 × 0.1) + (0.9² × 0.1)]

P(m ≥ 4) = 1 - (0.1 + 0.09 + 0.081)

P(m ≥ 4) = 0.729

therefore, the required probability = 0.729

Learn more about the probability here:

https://brainly.com/question/15124899

#SPJ4

The complete question is:

An airline claims that there is a 0.10

probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight. This outcome is independent from flight to flight. Sam is a frequent flier who always purchases coach-class tickets.

What is the probability that Sam's first upgrade will occur after the third flight?

Answer: The doubling period is the time it takes for the population of bacteria to double. To find the doubling period in this case, we need to determine how often the population doubles during the 3-minute period.

We know that the initial population is 50 and the final population is 204800, which means that the population has grown by a factor of 204800/50 = 4096. Since this is a multiplication by a factor of 4096, this means that the population has doubled 4096 times in 3 minutes.

To find the doubling period, we need to divide the total time (3 minutes) by the number of doublings (4096).

So, the doubling period is:

3 minutes / 4096 = 3/4096 minutes ≈ 0.0007 minutes ≈ 0.042 seconds

So, the population of bacteria doubles every 0.042 seconds

Step-by-step explanation:

Answer:

Yes. The two parallelograms are similar.

Step-by-step explanation:

Similarity:

     Two parallelograms are said to be similar when the corresponding sides are in the same ratio.

  [tex]\sf \dfrac{WX}{AB}= \dfrac{3}{2}\\\\\dfrac{XY}{BC}=\dfrac{9}{6} = \dfrac{9 \div 3}{6 \div 3}\\\\[/tex]

        [tex]\sf = \dfrac{3}{2}[/tex]

           [tex]\bf \dfrac{WX}{AB}=\dfrac{XY}{BC}=\dfrac{3}{2}[/tex]

Therefore, two parallelograms are similar.

From the graph, it looks like the tangent line at 20 minutes has a slope that is close to 0.55°C/minute. So, the estimate of the rate of change of the temperature of the cookies after 20 minutes is approximately 0.55°C/minute.

To learn more about rate of change refer to:

brainly.com/question/25184007

#SPJ1

The inequality that represents the minimum number of points he must score on the remaining tests in order to get an A is 320 + n ≥ 389, n ≥ 69, where n is the number of points.

When we use ≥ symbol, as at least means greater than or equal to.

320 + n ≥ 389

Subtracting 320 on both the sides,

n ≥ 69,

n represents the score he must receive on the remaining tests. Then n + 320 represents his total score for the semester.

Thus, the required inequality is n ≥ 69, which means that n is the minimum scored points to get A.

To know more about inequalities:

https://brainly.com/question/11850997

#SPJ4

Answer: its d

Step-by-step explanation:

Answer:

The answer is C:

y = -x + 2

add brainliest please.

Answer: 19.56z - 9

Step-by-step explanation: Hello!  Here are the steps to solve this problem:

14.33z - 3 - (6 - 5.23z).  

Firstly, you have to use the distributive property and distribute -1 to the parentheses using PEMDAS, Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

14.33z - 3 + -1(6 - 5.23z)
14.33z - 3 + (-6 + 5.23z)
14.33z + (-3) + (-6) + (5.23z)
14.33z + (5.23z) + (-3) + (-6)
(14.33z + 5.23z) + (-3 - 6)
19.56z + (-3 - 6)

19.56z + (-9)
19.56z - 9.

If the equation to model his altitude(y) in feet, in terms of the number of feet he bicycled(x) is y = 1/20x + 5000 , then the rate of change in altitude as he traveled is described by the fraction "1/20" .

The rate of change in altitude(y) as Zach traveled can be described as the slope of the line represented by the equation y = 1/20x + 5000. In this equation, the slope is 1/20.

The slope of a line is also called as the "rise over run", represents the change in y (altitude) per change in x (distance traveled). So in this case, the slope of 1/20 means that for every 20 feet Zach travels, his altitude changes by 1 foot.

Learn more about Rate Of Change here

https://brainly.com/question/17970280

#SPJ4

Answer:

y - 8 = -1 (x + 4)

Step-by-step explanation:

I don't know if your suppose to solve it but i'll do it anyway

y - 8 = -1 (x+4)

y - 8 = -1x - 4

y - 8 +8 = -1x -4 +8

y = -1x + 4

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ - 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{- 1}(x-\stackrel{x_1}{(-4)}) \implies y -8= -1 (x +4) \\\\\\ y-8=-x-4\implies {\Large \begin{array}{llll} y=-x+4 \end{array}}[/tex]

The original length is 250 meters and the scale drawing width is 0.67 cm

From the question (see attachment), we have the following parameters that can be used in our computation:

Scale length = 0.5 meters

So, we have

Original length = 0.5/(1/500)

Evaluate

Original length = 250

This means that the original length is 250 meters

Here, we have

Scale drawing width = 335 * 1/500

Scale drawing width = 0.67 cm

Hence, the scale drawing width is 0.67 cm

Read more about scale at

https://brainly.com/question/15891755

#SPJ1