The polygons are similar. Find the value of x.

The Polygons Are Similar. Find The Value Of X.

Answers

Answer 1

Answer:

24

Step-by-step explanation:

18/3=6 6*4=24

Answer 2

The value of x for the similar triangles is equal to 24.

How to calculate for x for the similar triangles

The triangles are similar, this implies that the length x cm of the bigger triangle is similar to the length HJ = 18 cm of the smaller triangle

and the length DF = 16 cm of the bigger triangle is similar to the length JG = 12 cm of the smaller triangle

so;

x/18 = 16/12

12x = 18 × 16 {cross multiplication}

12x = 288

x = 288/12 {divide through by 12}

x = 24 cm

Therefore, the value of x is equal to 24 cm for the similar triangles.

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Related Questions

Can someone please help me, I am just not sure of my answer

Answers

Answer:

tally 4 which has 19 points

Step-by-step explanation:

22+19=41

41/2 = 20.5, divided by two because the team is involved in only two game tournament

this is the least she should have in average to win the MVP award.

since more then 20 means not including 20 but more than of it.

The temperature in a city is -1.5 C drag numbers to the empty boxes to complete the sentence and equation correctly ?

Answers

The equation for the given scenario is -1.5+1.5 =0.

What is temperature?

Temperature is a degree of hotness or coldness the can be measured using a thermometer. It's also a measure of how fast the atoms and molecules of a substance are moving. Temperature is measured in degrees on the Fahrenheit, Celsius, and Kelvin scales.

Given that, the temperature in a city is -1.5° C

Now,

The temperature needs to rise -1.5° C to reach 0° C.

Then, the equation is

-1.5+1.5 =0

0 = 0

Therefore, the equation is -1.5+1.5 =0.

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Find the surface area of each of the following figures using the given values. 1. Cube: (s = side) a. s = 5 ft b. s = 6 in c. s = 12 mm 2. Rectangular prism: ( l = length) (w = width) (h = height) a. l = 2, w = 5, h = 7 (ft) b. l = 16 in, w = 11 in, h = 10 in 3. Sphere: (r = radius) (d = diameter) a. r = 12 b. r = 16 c. d = 10 4. Cylinder: (r = radius) (h = height) a. r = 6, h = 12 b. r = 2, h = 10 c. r = 3, h = 5 5. Application: Sandy wants to cover a wooden cylinder with a diameter of 1 ft and a height of 4 ft with carpet to build a scratching post for her cats. What are the steps she needs to take to complete this task?

Answers

The surface areas of the regular solids are;

1. a. 150 ft²

b. 216 ft²

c. 894 mm²

2. a. 118 square units

b. 892 in²

3. a. 576·π square units

b. 1024·π square units

c. 100·π square units

4. a. 216·π square units

b. 48·π square units

c. 48·π square units

5. To complete the task, two circles of 1 ft radius should be cut from the carpet, followed by cutting a rectangular shape of width 4 ft and length of 2·π ft

What is the surface area of a solid?

The surface area of a solid is the sum of the areas that form a boundary around the outer part of the solid.

1 The surface area of a cube is A = 6·s²

a. When s = 5, A = 6 × 5² = 150

The surface area of a square of side length s = f ft = 150 ft²

b. When s = 6 ft, A = 6 × 6² = 216

The surface area of a square of side length, s = 6 ft = 216 ft²

c. When s = 12 mm, A = 6 × 12² = 864

The surface area when the side length of the square is 12 mm is 894 mm²

2. The surface area of a rectangular prism is; S.A. = 2·l·w + 2·h·w + 2·l·h

a. l = 2, w = 5, h = 7

Surface area = 2 × (2 × 5 + 5 × 7 + 2 × 7) = 118

The surface area = 118 square units

b. l = 16 in, w = 11 in, h = 10 in

The surface area = 2 × (16 × 11 + 16 × 10 + 10 × 11) = 892

The surface area of the rectangular prism is 892 in²

3. The surface area of a sphere, A  = 4·π·r²

a. The radius of the sphere, r = 12

A = 4 × π × 12² = 576·π

The surface area of the square, A = 576·π

b. r = 16, therefore;

A = 4 × π × 16² = 1024·π

The surface area when the radius is 16 units is 1024·π square units

c. When the diameter, d = 10, we get;

A = 4·π·r² =  4·π·(d/2)² =  4·π·d²/4

A = 4·π·d²/4 = π·d²

Therefore; the surface area, A = π × (10 units)² = 100·π square unitsThe surface area of a sphere of diameter, d = 10 units is 100·π square units

4. The surface area of a cylinder, A = 2·π·r·h + 2·π·r²

a. r = 6, h = 12, therefore;

A = 2×π×6×12 + 2×π×6² = 216·π

The surface area of the cylinder = 216·π square units

b. r = 2, h = 10, therefore;

A = 2×π×2×10 + 2×π×2² = 48·π

The surface area of the cylinder = 48·π square units

c. r = 3, h = 5, therefore;

A = 2×π×3×5 + 2×π×3² = 48·π

The surface area of the cylinder = 48·π square units

5. The diameter of the cylinder = 1 ft

Height of the cylinder = 4 ft

The area for the carpet to cover the each of the top and bottom = π×1² ft² = π ft²

The area to cover the curved surface = 2 × π × r × h

Therefore, area of the curved surface = 2 × π × 1 × 4 = 8·π

Area of the curved surface = 8·π ft²

Two circular shapes of radius 1 ft should be cut, followed by a rectangle of side length, 4 ft, and width 8·π/4 ft = 2·π ft

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A thick coin with a head on one side and a tail on the other has a probability of 0.4 of coming up heads, 0.4 of coming up tails, and 0.2 of coming to rest on its edge. What is the probability that exactly two tails will come up in three tosses of this coin? (assume tosses are independent) round to 4 decimals

this is my work:
using the binomial probability formula.
the formula for the probability of getting k success in n trials of a Bernoulli experiment is: P(k) = C(n, k) * p^k * (1-p)^(n-k)
where C(n, k) is the binomial coefficient, p is the probability of success in one trial, and (1-p) is the probability of failure in one trial.
In this case,
n = 3 (number of tosses)
k = 2 (number of tails)
p = 0.4 (probability of getting tails in one toss)

So, P(2) = C(3, 2) * (0.4)^2 * (1-0.4)^(3-2)
P(2) = (30.160.2) = 0.096

therefore, the probability of getting exactly two tails in three tosses of this coin is 0.096.

Answers

The probability that exactly two tails will come up in three tosses of this coin is given as follows:

0.288 = 28.8%.

What is the binomial distribution formula?

The mass probability formula, giving the probability of x successes, is of:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are given by:

n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.

The parameter values for this problem are given as follows:

n = 3, p = 0.4.

The probability that exactly two tails will come up in three tosses of this coin is P(X = 2), hence:

P(X = 2) = 3 x 0.4² x 0.6

P(X = 2) = 0.288.

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which is not one of the three v's of big data?

Answers

The Three V's of Big Data are Volume, Velocity, and Variety. While "Volume" is an important characteristic of big data, it is not considered one of the Three V's because it is not unique to big data. So option (4) is correct.

There are many other characteristics of big data that have been proposed, but the Three V's are the most widely recognized and used

The "Three V's of Big Data" is a well-known concept that refers to the defining characteristics of big data. These three V's are Volume, Velocity, and Variety. They describe the main challenges that organizations face when dealing with big data, and how they can be overcome.

A common misconception is that there are only three V's of big data, but in reality, there are more than three. Some additional V's that have been proposed include Veracity, Value, Variability, and others.

However, there is one common concept that is often mentioned in discussions of big data, but is not considered one of the V's. This concept is "Volume." While "Volume" is certainly a key characteristic of big data, it is not considered one of the Three V's because it is not unique to big data. All types of data, whether big or small, can be large in volume.

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Complete Question:

which is not one of the three v's of big data?

VibrantVitalVisibleVolume

Question 6 of 12
Graph the function f(x)=√x-1. Then answer the following questions.
(a) On what interval, if any, is the function increasing? Decreasing?
(b) Is the function odd, even, or neither?
(c) Give the function's extrema, if any.
(d) How does the graph relate to a graph of one of the twelve basic functions?
***
This test: 12 point(s) possible
This question: 1 point(s) possib

Answers

Observing the options we see that the graph the corresponds to the given coordinates is option B. The function is increasing in the function (1, infinity).

What is first derivative of a function?

The rate of change of one variable with respect to another variable is represented by a function's first order derivative. For instance, in physics, we define a body's velocity as the rate at which its location changes in relation to time.

Given that the function is: f(x) = √x -1.

Substitute the value of x = 1:

f(x) = √ 1 -1

f(x) = 0

The first coordinate is (1, 0).

Substitute the value of f(x) = 0:

f(x) = √ x -1

0 = x -1

x = 1

The second coordinate is (1, 0).

Observing the options we see that the graph the corresponds to the given coordinates is option B.

a. Find the first derivative of the equation f(x) = √x -1.

f'(x) = (1/2)(x - 1)^(1/2)

Equate the value to 0:

(1/2)(x - 1)^(1/2)  = 0

x - 1 = 0

x = 1

Hence, the function is increasing in the function (1, infinity).

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The value of a car decreases at a constant rate. After 3 years, the value of the cat is $15,000. After 2 more years, the value of the car is $11,000. Write and solve a linear equation to find the value of the car after 8 years.
After 8 years how much is the car worth?

Answers

to get the equation of any straight line, we simply need two points off of it, let's use the provided values

[tex]\begin{array}{|cc|ll} \cline{1-2} \stackrel{x}{years}&\stackrel{y}{value}\\ \cline{1-2} 3&15000\\ 5&11000\\ \cline{1-2} \end{array}\hspace{5em} (\stackrel{x_1}{3}~,~\stackrel{y_1}{15000})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{11000})[/tex]

[tex]\stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{11000}-\stackrel{y1}{15000}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{3}}} \implies \cfrac{ -4000 }{ 2 } \implies - 2000 \\\\\\ \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}{15000}=\stackrel{m}{- 2000}(x-\stackrel{x_1}{3})[/tex]

[tex]y-15000=-2000x+6000\implies {\Large \begin{array}{llll} y=-2000x+21000 \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{after 8 years, x = 8}}{y = -2000(8)+21000}\implies \boxed{y=5000}[/tex]

The above answer is better

The speedometer in every car also has an odometer that records the distance traveled. a) If the odometer reads zero at the beginning of a trip and 25 km a half hour later, what is the average speed in km/h? b) What is the average speed in mi/h (mph)? c) If a cheetah can maintain a constant speed of 25 m/s it will cover 25 meters every second. At this rate, how far will it travel in 5 seconds? d) How far will the cheetah travel in 1 minute?

Answers

A: Average speed of the car is 50 km per hour,

B: speed in miles per hour is 34.068 miles per hour,

C: The distance covered by a cheetah in 5 seconds is 75 meters,

D: distance covered by a cheetah in 1 minute is 1500 meters.

What is speed?

The distance that an object travels in relation to the amount of time it takes to do so can be used to define speed. In other terms, it is a measurement of an object's motion's speed without direction The term "velocity" refers to the combination of direction and speed.

Given the distance covered in half-hour = 25 km

speed = distance/time

speed = 25/.5

speed = 50 km per hour

av. speed =  50 km per hour

B: we know,

1 km = 0.621371 mile

50 km = 50*0.621371

50 km = 31.068 miles

av. speed = 34.068 miles per hour

C: speed of cheetah = 25 m/s

distance covered in 5 seconds = 25* 5

distance covered in 5 seconds = 75 meters

D: distance covered in 60 seconds = 25*60

distance covered in 60 seconds = 1500 meters

Hence average speed is  50 km per hour,

speed in mph is 34.068 miles per hour,

distance covered in 5 seconds is 75 meters,

distance covered in 60 seconds is 1500 meters.

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max built a skateboard ramp that is 16 inches high. the angle formed by the ramp and the ground is 21 degrees. what is the length of the ramp?

Answers

Answer:

The length of the ramp can be found using the tangent function:

tan(21°) = height/length

length = height / tan(21°)

length = 16 inches / tan(21°)

Note: make sure to convert the height from inches to the same unit used in the tangent function, usually radians.

-5(5.25 +3.1x) = -6.2(2.5x + 1.9)
Is the answer 48.23 or no solution

Answers

Answer:

-26.25 - 15.5x = -15.5x - 11.78

collect the like term

-15.5x + 15.5x = -11.78 + 26.25

= 14.48

Answer:

no solution

Step-by-step explanation:

- 5(5.25 + 3.1x) = - 6.2(2.5x + 1.9) ← distribute parenthesis on both sides

- 26.25 - 15.5x = - 15.5x - 11.78 ( add 26.25 to both sides )

- 15.5x = - 15.5x + 14.47 ( add 15.5x to both sides )

0 = 14.47 ← False

this false statement indicates the equation has no solution

Write the assembly instruction that fills register $10 with 0x10000000A. lui $10, 0x1000 B. lui $10, 0x10000000 C. ori $10, $0, 0x10000000 D. ori $10, $10, 0x1000

Answers

To fill register $10 with the value 0x10000000A, you would use the following two instructions:

A. lui $10, 0x1000

C. ori $10, $10, 0x10000000A

The lui (Load Upper Immediate) instruction sets the most significant 16 bits of the destination register to a specified 16-bit value. The ori (OR Immediate) instruction ORs the source register with an immediate value and stores the result in the destination register.

In this case, lui $10, 0x1000 sets the most significant 16 bits of $10 to 0x1000, and ori $10, $10, 0x10000000A ORs 0x10000000A with the contents of $10, filling $10 with the desired value of 0x10000000A.

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a competing company claims 90% of its printers lasty at least 36 months and 65% last at least 42 montnhs. what normal model parameters does this use?

Answers

The competing company's claims suggest that they are using a Normal model with a mean of 39 months and a standard deviation of 6 months. This means that 90% of their printers last at least 36 months and 65% last at least 42 months.

This is because the Normal model is symmetrical, meaning that the same percentage of printers last more than the mean as less than the mean. Therefore, the parameters of the Normal model are mean = 39 months and standard deviation = 6 months.

Normal model parameters describe the distribution of a random variable that follows a normal or Gaussian distribution. The parameters of a normal model are the mean, which is the average value of the random variable, and the standard deviation, which is a measure of the spread of the distribution.

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The table provides various values, including select minimums and maximums, of a particular cosine function f (x).


Angle −π negative 2 times pi over 3 negative pi over 2 negative pi over 3 0 pi over 2 π
f (x) 4 5 over 2 1 negative 1 over 2 −2 1 4

What is the period of the function that contains these points?

Answers

The period of the function based on the information will be D. 2π.

How to calculate the period

The period of the function is the interval between repetitions of any function. A trigonometric function's period is the length of one whole cycle.

One cycle of the sine curve's length is referred to as its period. The period of the function is the minimum value of the dependent variable x after which the function will repeat itself.

f(x + k) = f(x).

-2sin(k + x) + 2 = 2sinx + 1

sin(k + x) = sin(2π + x)

k + x = 2π + x

k = 2π

The period is 2π.

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The table provides various values, including all minimums and maximums, of a cosine function f (x) on the interval [0, 2π].

Angle 0 pi over 6 pi over 2 5 pi over 6 3 times pi over 2 2π

f (x) 1 0 –1 0 3 1

What is the period of the function?

A) 2 times pi over 3

B) pi over 2

C) π

D) 2π

The slope of the line which connect
points G(-3, -2) and H(x, 11) is
undefined. What is the value of x?

Answers

Answer:

-3

Step-by-step explanation:

A vertical line has undefined slope. These two points will be stacked one directly above (below) the other. The x will be the same in both points.

So the unknown in H(x,11) is -3

H (-3, 11)

Answer:

Below

Step-by-step explanation:

Vertical lines have slope = 'undefined'

   so the 'x' values in the two points have to be the same (vertical line)

             x = -3

As a side note:  Horizontal lines have a slope = 0

the functions f and g are such that f(x)= x/(x+5) and g(x)=2x+1. Find fg(x)​

Answers

Answer:

Evaluate g(f (x)) g ( f ( x)) by substituting in the value of f f into g g. Combine the opposite terms in (x− 2)+2 ( x - 2) + 2

Step-by-step explanation:

if that helps

Below, the graph of f(x) = √x +3 + 2 is sketched in bold. Its parent function f(x)=√x is represented
by the thin curve.
1) Describe the
translation of the parent
graph.
2) How does the translation relate to the equation?

Answers

The graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

What is graph?

Graph is a type of data structure that consists of a set of nodes (also called vertices) and edges. Each node is connected to other nodes by edges. Graphs are used to represent networks of communication, data organization, computational devices, the flow of computation, etc. They are also very useful for visualizing relationships between data points in a variety of fields.

The translation of the parent graph of f(x)=√x+3+2 is a vertical shift upward 3 units, followed by a horizontal shift to the right 2 units. This is represented by the bold line in the graph. In terms of the equation, the translation is represented by the addition of the 3 and the 2 to the function. The 3 causes the graph to shift vertically upward and the 2 causes the graph to shift horizontally to the right. As a result, the graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

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What would the critical chi-square value be if my test involves seven classes? Table 1. Critical chi-square values for a p-value of 0.05. Reject the null hypothesis if χ2calc > χ2crit.

df χ2crit

1 3.84

2 5.99

3 7.81

4 9.49

5 11.07

6 12.59

7 14.07

8 15.51

9 16.92

10 18.31

11 19.68

12 21.03

13 22.36

14 23.68

15 25.00

16 26.30

17 27.59

18 28.87

19 30.14

20 31.41

Answers

The critical chi-square value for a chi-square test with seven classes and a p-value of 0.05 is 12.59.

A hypothesis is an educated guess or prediction about a relationship between variables. The critical chi-square value is the value that is used to make a decision about the hypothesis.

If the calculated chi-square value is greater than the critical chi-square value, we reject the null hypothesis, which states that there is no significant difference between the expected and observed frequencies.

For a chi-square test with seven classes, the critical chi-square value can be found by looking at the critical chi-square values for a p-value of 0.05, as shown in Table 1.

The degrees of freedom (df) is equal to the number of classes minus 1, so in this case, df = 7 - 1 = 6.

Therefore, the critical chi-square value for a chi-square test with seven classes and a p-value of 0.05 is 12.59.

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Triangle ABC with points A(9,4) B(4,12) and C(-2,-4) has been transformed to create triangle A’B’C’ with points A’(-4,9) B’(-12,4) and C’(4,-2). What transformation has taken place?

Answers

It would be reflection across y=x

In which set are all the numbers solutions to the inequaltiy x < - 3?

Answers

Answer:

The solution fo the inequality x < -3 will be {-83, -6, -4, -3.5}. Then the correct option is C.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

x < -3

The value of the variable 'x' should be less than negative 3.

In option A, zero is greater than -3. So, option A is incorrect.

In option B, 1 is greater than -3. So, option B is incorrect.

In option D, -3 is equal to -3. So, option D is incorrect.

The arrangement of the imbalance x < - 3 will be {-83, - 6, - 4, - 3.5}. Then, at that point, the right choice is C.

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Step-by-step explanation:

brett drives his skidoo 7 kilometers north. he stops for lunch and then drives 5 kilometers east. what distance did he cover

Answers

The distance Brett covered was 12 km, but his displacement was 8.6 km.

Distance

Displacement is a vector quantity that is measured as a change in an object's position, so the length of the position from the object's initial point to the object's end point.

Distance is a scalar quantity which is defined as the length of the entire path traveled by an object.

Given:

S₁ = 7 kmS₂ = 5 kmDistance?Displacement?

Distance = S₁ + S₂

Distance = 7 + 5

Distance = 12 km

The distance Brett has covered is 12 km.

Starting position = A

Final position = C

Displacement = AC

The displacement in this case is calculated by the Pythagorean theorem.

AC² = AB² + BC²

Displacement² = S₁² + S₂²

Displacement² = 7² + 5²

Displacement² = 49 + 25

Displacement² = 74

Displacement = [tex]\sqrt{74}[/tex]

Displacement = 8.6 km

The displacement that Brett has covered is 8.6 km.

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The height of a plant, y, in centimeters, is measured x weeks after planting a seed. The height can be modeled by the regression equation y = StartFraction 6.88 Over 1 + 2,139.99 e Superscript negative 0.47 x Baseline EndFraction. Which statement best interprets the value 6.88? The plant grows 6.88 cm each week. The initial height of the plant is 6.88 cm. The plant takes 6.88 weeks to reach a height of 2,139.99 cm. The limiting value for the height of the plant is 6.88 cm.

Answers

After 7 weeks, the plant's approximate height is 8.7 cm.

What is equation?

An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the connection between two expressions on opposite sides of the sign. It generally consists of one variable and one equal to symbol.

Here,

You are given a a graph titled Plant Height that shows Number of Weeks on x axis and Height of Plant in cm on y axis. Plotting this and you will get an equation of y = 1.2792x - 0.1665 (I used excel using the given points from the above problem).

y = 1.2792x - 0.1665

y = 1.2792 (7) - 0.1665

y = 8.78 centimeters.

The most likely approximate height of the plant after 7 weeks is 8.7 centimeters.

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It is known that 13% of all golfers play on the weekends. We select 25 golfers and count the number of golfers who play in weekends. For this binomial problem, which of the following is true? The probability of each golfer playing on weekends changes from one golfer to another. A "failure" would be finding a golfer who plays on weekends. The random variable is the number of golfers who do not play on weekends. The value of p is 0.13.

Answers

Answer:

The value of o is 0.13.

Step-by-step explanation:

8 _ 6 _ 4 _ 2=30 you can use - ,+, x find the missing signs.

Answers

Answer:

+, x, -

Step-by-step explanation:

8 + 6 x 4 - 2

8 + 24 - 2

32 - 2

30

Joseph has a bag filled with 3 red, 3 green, 9 yellow, and 10 purple marbles. Determine P(not yellow) when choosing one marble from the bag. 8%
24%
36%
64%

Answers

The probability of not getting purple marble will be 64%. Then the correct option is A.

What is probability?

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

Joseph has a bag filled with 2 red, 4 green, 10 yellow, and 9 purple marbles.

The total number of marbles is given as,

Total marbles = 2 + 4 + 10 + 9

Total marbles = 25

Then the probability of not getting purple marble will be given as,

P = 1 - 9 / 25

P = 1 - 0.36

P = 0.64

P = 64%

Hence, The probability of not getting purple marble will be 64%. Then the correct option is A.

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A survey was conducted to gather ratings of the quality of service at local restaurants. Respondents rated on a scale of 0 (terrible) to 100 (excellent). The following stem plot represents the data: Find the median response. Find the mean response. What can be said about the shape of the distribution?

Answers

The median of the distribution is of: 50.5.The mean of the distribution is of: 51.7As the mean is greater than the median, the shape of the distribution is right skewed.

How to obtain the measures?

The data-set in this problem is given by the stem-and-leaf plot, which shows each observation in the problem.

Hence each observation is given as follows:

32, 34, 40, 43, 44, 47,48, 49, 49, 49, 50, 51, 51, 52, 53, 54, 55, 70, 71, 92

The data-set has 20 elements, which is an even cardinality, hence the median is the mean of the two middle elements, the 10th and the 11th, as follows:

Median = (50 + 51)/2 = 50.5.

The mean of the data-set is given by the sum of all observations divided by the number of observations, hence:

Mean = (32 + 34 + 40 + 43 + 44 + 47 + 48 + 3 x 49 + 50 + 2 x 51 + 52 + 53 + 54 + 55 + 70 + 71 + 92)/20

Mean = 51.7.

Missing Information

The problem is given by the image presented at the end of the answer.

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if a1 = 2 and an=an-1-4 then find the value of a4

Answers

The fourth term of the arithmetic sequence will be negative 10.

What is an arithmetic sequence?

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The first term (a₁) is 2. And the common difference is given as,

aₙ = aₙ₋₁ - 4

aₙ - aₙ₋₁ = - 4

d = - 4

The fourth term of the arithmetic sequence is given as,

a₄ = 2 + (4 - 1)(-4)

a₄ = 2 + 3 x (-4)

a₄ = 2 - 12

a₄ = - 10

The fourth term of the arithmetic sequence will be negative 10.

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A bathtub ha ome water in it. Mia turn on the faucet to add more water. The total amount of water in gallon, y i a function of the time minute ince Mia turn on the faucet, x

Answers

The linear equation representing Mia's situation is y = 3x + 12.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

The two points given are - (4,24) and (6,30)

The slope-intercept form of a linear equation is - y = mx + b, where m is the slope and b is the y-intercept.

To find the slope use the formula -

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

m = (30 - 24)/(6 - 4)

m = 6/2

m = 3

So, now the equation becomes - y = 3x + b

To find the y-intercept substitute the equation with x and y values -

24 = 3(4) + b

24 = 12 + b

b = 24 - 12

b = 12

So, now the equation becomes - y = 3x + 12.

Therefore, the linear equation y = 3x + 12.

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A bathtub has some water in it. Mia turns on the faucet and add more water. The total amount of water in gallons, y, is a function of the time in minutes since Mia turned on the faucet, x. The graph of a linear function passes through the points (4,24) and (6,30) What is the equation of the function?

5 eggs were cracked. this was 1/6 of the total number of eggs in the flat.

A. how many eggs were in the flat?

B. what percent of the eggs in the flat were not cracked?

Answers

Answer:

A. To find out how many eggs were in the flat, you need to use the information that 5 eggs were cracked, which is 1/6 of the total number of eggs in the flat.

If 5 eggs is 1/6 of the total number of eggs in the flat, then you can set up an equation to find the total number of eggs:

5 eggs = (1/6) * x

Where x is the total number of eggs in the flat.

To solve for x, you can cross-multiply to get:

5 eggs * 6 = 1 * x

Which gives:

x = 30

So there were 30 eggs in the flat.

B. To find out what percent of the eggs in the flat were not cracked, you need to know how many eggs were not cracked and divide that number by the total number of eggs in the flat, and then multiply by 100 to get the percentage.

Since 5 eggs were cracked and there were 30 eggs in the flat, you can find the number of eggs that were not cracked by subtracting the number of cracked eggs from the total number of eggs:

30 eggs - 5 eggs = 25 eggs

So 25 eggs were not cracked.

To find the percentage, you can divide the number of eggs that were not cracked by the total number of eggs in the flat and multiply by 100:

(25 eggs / 30 eggs) * 100 = 83.33%

So, 83.33% of the eggs in the flat were not cracked.

Is (x - 2) a factor of f(x) = x3 - 2x2 + 2x + 3? Explain your reasoning.

Answers

hey!!
the answer is false.
this is because (x-2) is not a factor of f(x).

No, (x - 2) is not a factor of f(x) = x³ - 2x² + 2x + 3.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ f (x) = x³ - 2x² + 2x + 3

And, The factor is (x - 2)

Now, If (x - 2) is factor of function then x = 2 satisfy the function.

Hence, We can check as,

⇒ f (x) = x³ - 2x² + 2x + 3

Put x = 2

⇒ f (2) = 2³ - 2 (2)² + 2 × 2 + 3

⇒ f (2) = 8 - 8 + 4 + 3

⇒ f (2) = 7 ≠ 0

Hence, (x - 2) is not a factor of f(x) = x³ - 2x² + 2x + 3.

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Micah i preparing for a piano recital. He practice for 50 minute on Monday and 90 minute on web day. How did the amount of time that Micah pent practicing change from Monday to Wenday?

Answers

The amount of time that Micah spent practicing changed from 50 minutes on Monday to 90 minutes on Wednesday, which is an increase of 40 minutes.

Determine the amount of time Micah spent practicing on Monday. This is 50 minutes.Determine the amount of time Micah spent practicing on Wednesday. This is 90 minutes.Subtract the time spent practicing on Monday from the time spent practicing on Wednesday. This is 90 minutes - 50 minutes = 40 minutes.The amount of time that Micah spent practicing changed from 50 minutes on Monday to 90 minutes on Wednesday, which is an increase of 40 minutes.

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Answer:80% trust bro

Step-by-step explanation:

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