relative frequency distributions are generally more useful than frequency distributions when

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.

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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.

The surface area of the shape, can be found to be

This is a composite shape which means you need to find the surface areas of the different shapes and then sum them up.

Area of triangle :

= 1 / 2 x base x height

= 1 / 2 x 20 x 25

= 250 cm ²

Area of rectangles :

= ∑ ( Length x Width )

= ( 20 x 15 ) + ( 25 x 15 ) + ( 15 x 30 )

= 1, 125 cm ²

The surface area is:

= 1, 125 + 250

= 1, 375 cm ²

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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

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.

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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:

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: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 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, ∞].

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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.

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:

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

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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.

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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 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

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Answer:

Step-by-step explanation:

dddcdcdcdc its d

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.

The temperature at 6 PM at greater than morning temperature at 6 AM by 1.3° C.

We know initially the temperature is 19.4° C.

The new temperature at noon will be = Temperature at 6 AM + temperature after noon

Keep the values

The new temperature at noon will be = 19.4 + 3.8

Performing addition

The new temperature at noon will be = 23.2° C

Temperature at 6 PM = Temperature at noon - temperature fall between noon and 6 PM

Keep the values

Temperature at 6 PM = 23.2 - 2.5

Performing subtraction

Temperate at 6 PM = 20.7° C

The difference between the temperature = 20.7 - 19.4

Performing subtraction

The difference between the temperature is 1.3° C.

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

The quotient is x³-3x²-3x+9 and the remainder is -33.

Synthetic division is a method used to perform the division operation on polynomials when the divisor is a linear factor.

When we divide a polynomial p(x) by a linear factor (x - a) (which is a polynomial of degree 1), Q(x) is the quotient polynomial and R is the remainder.

p(x)/q(x) = p(x)/(x- a) = Quotient + (Remainder/(x - a))

p(x)/(x - a) = Q(x) + (R/(x - a))

Given that, (x⁴-12x²-6)/(x+3)

Here, (x⁴+0x³-12x²+0x-6)/(x+3)

Now,

-3| 1   0   -12   0   -6|

  |     -3    9   9   -27|

________________

    1  -3   -3   9    |-33

So, remainder = -33 and quotient = x³-3x²-3x+9

Therefore, the quotient is x³-3x²-3x+9 and the remainder is -33.

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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

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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

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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?

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

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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.

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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.

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According to the concept of average it will take 3 days in order to get a "no homework" day.

The term called average in math is defined as the number you get when you add two or more figures together and then divide the total by the number of figures you added.

Here we know that Mrs. Bready has a large bag filled with red and green cards. She tells the class that 15% of the cards are red and 85% are green.

And here we need to determine the average number of days that it will take in order to get a "no homework" day based on these 5 trials,

Then the following calculation must be performed as,

=> 0.85 x 0.85 x 0.85 x 0.85 x 0.85 = X

=>  x = 0.4437

Hence it will take 4.2 days in order to get a "no homework" day.

Here we have already know that the first trial is carried out then we have to subtract it from the total number then we get,

=> 4.2 - 1 = 3.2

When we round off the value then we get 3.

Therefore, option (b) is correct.

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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

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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.

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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.

Answer:

see graph attached

Step-by-step explanation:

Answer: its d

Step-by-step explanation:

Answer:

The answer is C:

y = -x + 2

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