The mean of 6, 8, x+2, 10, 2x-1, and 2 is 9. Find the value of x.

Answer:

The median of the data is 6

The Lower Quartile is 2

The upper quartille is 3

The mimimum value is 15

The maximum value is 9

Answer:

Hey there!

\((2x-1)(x-3)\)

\(2x^2-1x-6x+3\)

\(2x^2-7x+3\)

Hope this helps :)

Answer:

see below

Step-by-step explanation:

the simple answer is a if you need an explanation just comment

Answer:

In geometry, postulates are statements that are accepted as true without proof. The three postulates for congruent triangles are ASA, SSS, and SAS. These postulates are used to prove that two triangles are congruent.

ASA Postulate:

ASA stands for "Angle, Side, Angle." This postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Visual example:

In the above image, ΔABC and ΔDEF have ∠A ≅ ∠D, ∠B ≅ ∠E, and AB ≅ DE. Therefore, we can conclude that ΔABC ≅ ΔDEF by ASA postulate.

SSS Postulate:

SSS stands for "Side, Side, Side." This postulate states that if the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.

Visual example:

In the above image, ΔABC and ΔDEF have AB ≅ DE, BC ≅ EF, and AC ≅ DF. Therefore, we can conclude that ΔABC ≅ ΔDEF by SSS postulate.

SAS Postulate:

SAS stands for "Side, Angle, Side." This postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Visual example:

In the above image, ΔABC and ΔDEF have AB ≅ DE, BC ≅ EF, and ∠B ≅ ∠E. Therefore, we can conclude that ΔABC ≅ ΔDEF by SAS postulate.

Overall, the ASA, SSS, and SAS postulates are important tools in proving the congruence of triangles in geometry. They allow us to make logical deductions about the properties of triangles based on their corresponding angles and sides.

Answer:

They are different because ASA means that the two triangles have two angles and the side between the angles congruent. SAS means that two sides and the angle in between them are congruent

Step-by-step explanation:

and sss If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are said to be congruent by SSS rule.

If the faster car is travelling 20 mph faster then slower car then the speed of slower car is 55mph and faster car is 75 mph.

Given that the faster car is travelling 20 mph faster than slower car and when slower car travels 165 miles the faster car travels 225 miles.

We are required to find the speed of slower car and faster car.

let the speed of slower car be x mph.

In this way the speed of faster car be (x+20) mph.

Speed=Distance/ time

We have to first take slower car.

x=165/Time

Time=165/x-----------1

Now by taking faster car.

x+20=225/time

Time=225/(x+20)-------2

From equation 1 an equation 2.

165/x=225/(x+20)

225x=165x+3300

225x-165x=3300

60x=3300

x=55 mph

Faster car=55+20

=75 mph.

Hence if the faster car is travelling 20 mph faster then slower car then the speed of slower car is 55mph and faster car is 75 mph.

Learn more about speed at https://brainly.com/question/4931057

#SPJ1

Answer:

a) -65 × 102 : -6630

b) -37 ×18 + -37 × 82 : -028337

Step-by-step explanation:

Step-by-step explanation:

a) -65 × 102 = (-65×100) +(-65×2)

= -6500-130

= -6,630

b) -37 ×18 + -37 × 82 =

-37(18+82) = -37(100) = -3,700

The Perimeter of quadrilateral ABCD is calculated as: AB + BC + CD + AD = 5 + 4 + 5 + 4 = 18 units.

The perimeter of the quadrilateral ABCD is calculated as the sum of all its side, which is:

Perimeter = AB + BC + CD + AD

Given the following:

A(-2,1),

B(3,1)

C(3,-3)

D(-2,-3)

Find the length of each sides as shown below:

AB = |-2- 3| = |-5| = 5 units.

BC = |1 - (-3)| = 4 units

CD = |3 - (-2)} = 5 units

AD = |1 - (-3)| = 4 units

Perimeter of quadrilateral ABCD = 5 + 4 + 5 + 4

= 18 units.

Learn more about Perimeter of quadrilateral on:

https://brainly.com/question/10466285

#SPJ1

The even integers are 10,12 and 14.

Concept:  An integer is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+1/2, and √2 are not.

Let x,x+2,x+4 be the least, middle and greatest integer respectively.

According to the question,

15< x+x+2+x+4< 21

(3x+6)/2> 15      and    (3x+6)/2< 21

30< 3x+6                      3x+6> 42

24<3x                            3x<36

8<x                                x>12

x=10

x+2=12

x+4=14

Hence, The even integers are 10,12 and 14.

For more information about integers, visit

https://brainly.com/question/17695139

#SPJ4

The random sample of \(24\) students has a mean of \(1.9149\), and the data suggests that the mean is \(20^{0}\).

x = (xi) / n is the general solution for computing the sample mean. Thus, xi refers to all X sample values, xi represents the sampling distribution, and n is the total number of specimen terms inside the data collection.

The statistic known as the sampling distribution is created by arithmetically averaging the values of the variables in a group. The sample mean is an estimate of the anticipated value if the sample is taken from probabilistic with a common expected value.

(a) Sample mean \(= (17 + 21 + 20 + 19 + 23 + 22 + 20 + 20 + 18 + 21 + 19 + 24 + 22 + 20 + 19 + 20 + 19 + 20 + 21 + 22 + 23 + 21 + 18 + 22)/24 = 20.5\)Sample standard deviation \(= 1.9149\)

Next, we can use a t-distribution with \(23\) degrees of freedom

Confidence interval \(= (20.5 - 0.8277, 20.5 + 0.8277) = (19.6723, 21.3277)\)

b) The assumption required in order to generalize the estimate to the population of students at this university is that the \(24\) students in the study formed a random sample of students at this university.

(c) There is not enough evidence to suggest that the mean wrist extension for people using the new mouse design is greater than \(20^{0}\).

To know more about Sample mean visit:

https://brainly.com/question/30023845

#SPJ1

Law of Syllogism

Law of Detachment

Sources: https://www.storyofmathematics.com/law-of-detachment/

https://study.com/academy/lesson/law-of-syllogism-in-geometry-definition-examples.html

Refer to the attachment

Answer:

77 years old

Step-by-step explanation:

Here every player gets 2 bottles of water and 1 bottle of lemonade. Then each player should get a total of 4 fluid ounces of water and 2 fluid ounces of lemonade.

Here we have to apply the principles of algebraic expressions to derive the answer
To evaluate the total fluid ounces each player gets, we can apply summation of the total fluid ounces from Sachi's bottles and Olivia's bottles then divide it by the number of players.
Total fluid ounces from Sachi's bottles = (22 × x) + (15 × y)
where
x = number of fluid ounces in each bottle of water
y = number of fluid ounces in each bottle of lemonade.
Total fluid ounces from Olivia's bottles = (28 × x) + (10 × y)
Total fluid ounces = Total fluid ounces from Sachi's bottles + Total fluid ounces from Olivia's bottles
Total fluid ounces = (22 × x) + (15 × y) + (28 × x) + (10 × y)
Total fluid ounces = 50x + 25y
Total number of players = Number of players on Sachi's team + Number of players on Olivia's team
Total number of players = 2(Number of players on Sachi's team)
Total number of players = Number of players on Sachi's team + Number of players on Olivia's team
Number of players on Sachi's team = Total number of players / 2
Number of players on Olivia's team = Total number of players / 2
Staging the values we get,
50x + 25y = Total fluid ounces = (22 × x) + (15 × y) + (28 × x) + (10 × y)
50x + 25y = 564 + 536
50x + 25y = 1100
Dividing both sides by 25,
2x + y = 44
Each player gets 4 fluid ounces of water and 2 fluid ounces of lemonade.
To learn more about algebraic expressions
https://brainly.com/question/4344214
#SPJ1

The required cost of 34 inches of wire as per the cost of 23 inches of wire is 92 cents is equals to 136 cents.

Let x be the cost (in cents) of 34 inches of wire.

We know that 23 inches of wire costs 92 cents,

Use a proportion to solve this problem,

23 inches / 92 cents = 34 inches / x cents

To solve for x, apply cross-multiply and simplify,

⇒ 23 inches × x cents = 92 cents × 34 inches

⇒ 23x = 3128

⇒ x = 3128/23

⇒ x ≈ 136.00 cents

Therefore, the cost of 34 inches of wire will be approximately 136 cents.

learn more about wire here

brainly.com/question/17922153

#SPJ4

Answer: 37 degrees

Hope this helps :)

Step-by-step explanation:

(The box in the corner tells you this is a right angle)

A right angle is 90 degrees

90 - 53 = 37

Answer:

37 degrees

Step-by-step explanation:

Angle a is equivalent to 37 degrees because the picture signifies a right angle; all right angles are equal to 90 degrees. The equation to solve this would be: 53+x=90, you would solve this by subtracting 90-53=x; x=37

Hope this helps! If you find my answer helpful, please consider marking brainliest! If you have any questions, feel free to ask me in the comments!

Answer:

y=pi/2+2pik

Step-by-step explanation:

The conclusion we can make about the shark’s growth and development is; Sharks have a simple life cycle.

From the cycle diagram attached showing the sharks development into a full grown shark, we can see that;

Stage 1 is when they are still eggs

Stage 2 is ovoviviparity

Stage 3 is a new born shark

Stage 4 is when they are youth sharks

Stage 5 is when they are adult sharks

Now, Sharks have a very simple life cycle mainly because the eggs are produced from a pregnant shark.

Thee subsequent stages shows us that the baby sharks come out of the eggs and thereafter they start growing into young ones.

Lastly, the younger sharks divide and form adult shark. This process is very normal and simple just like that of other organisms as there is no other  intermediate stage in the life cycle of the sharks.

Read more about animal metamorphosis at; https://brainly.com/question/22200710

#SPJ1

Answer:

the correct graph is A

Step-by-step explanation:

Note that the red line passes through (0, 2), which is the y-intercept, b, in y = mx + b.  Thus the correct answer must be A or B, not C or D.

Besides (0, 2), another point on this line is (1, 3).

The increase in x going from 0 to 1 is 1; this is the 'run'.  That in y going from 1 to 3 is 2; this is the 'rise.'  Therefore the slope is m = rise / run = 2/1 = 2.

Thus the correct graph is A; its slope is 2 and its y-intercept is 1.

Answer:

can i tell u this story about when i had a dump, so like i just ate chetos so my butt was on fire and their was some fish i saw and i dicided it looked good so i ate it.

Step-by-step explanation:

oh yeah and the answer is 4.75

Answer:

19/4. /means fraction symbol

Step-by-step explanation:

5-1/4

20-1/4

19/4

The distance from Round Mountain to Hawthorne is greater than the distance from Warm Springs to Beatty.

Let's analyze the information given step by step. We are told that the distance from Tonopah to Round Mountain is equal to the distance from Tonopah to Warm Springs. This means that the distances between Tonopah and Round Mountain and between Tonopah and Warm Springs are the same.

We are also informed that the distance from Tonopah to Hawthorne is the same as the distance from Tonopah to Beatty. Therefore, the distances between Tonopah and Hawthorne and between Tonopah and Beatty are equal as well.

Now, we need to compare the distances between Round Mountain and Hawthorne and between Warm Springs and Beatty. Since the distances between Tonopah and Round Mountain, and between Tonopah and Warm Springs are equal, and the distances between Tonopah and Hawthorne, and between Tonopah and Beatty are equal, we can conclude that the distances between Round Mountain and Hawthorne and between Warm Springs and Beatty must also be equal.

In conclusion, the distance from Round Mountain to Hawthorne is equal to the distance from Warm Springs to Beatty.

Learn more about distance here:

https://brainly.com/question/15172156

#SPJ11

Answer:

\(2.28*10^7\)

Step-by-step explanation:

\((2.4*10^3)(9.5*10^3)=(2.4*9.5)(10^3*10^3)=22.8*10^6=2.28*10^7\)

Answer:

228,000

Step-by-step explanation:

(2.4x10^3) x (9.5x10^3)

(2.4x100) x (9.5x100)

240x950

228,000

Answer:

707.7

Step-by-step explanation:

3x-9.2 = 2114

2114+9.2 = 2123.2

3x = 2123.2

x = 707.7

Answer:

10.15

Step-by-step explanation:

3x-9.2 = 21.25

3x = 30.45

x = 10.15

Answer:

\(\textsf{9.} \quad \textsf{Vertices}:\;\;(0, 1) \;\; \textsf{and} \;\; (10, 1)\)

\(\textsf{10.} \quad \textsf{Minor axis}:\;\;2\sqrt{21}\)

\(\textsf{11.} \quad \textsf{Eccentricity}:\;\;\dfrac{2}{5}\)

\(\textsf{12.} \quad \sf See\;attachment\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{9.2 cm}\underline{General equation of an ellipse}\\\\$\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1$\\\\where:\\\phantom{ww}$\bullet$ $(h,k)$ is the center\\ \phantom{ww}$\bullet$ $(h\pm a,k)$ or $(h,k\pm b)$ are the vertices\\ \phantom{ww}$\bullet$ $(h\pm c,k)$ or $(h,k\pm c)$ are the foci where $c^2=a^2-b^2$\\\end{minipage}}\)

Given:

The center of an ellipse is the midpoint of the foci.

Therefore, the center (h, k) of the ellipse is (5, 1), so:

The foci are on the major axis of an ellipse.

Given that the y-values of the given foci are the same, the ellipse is horizontal.

The foci of a horizontal ellipse are (h±c, k)

\(\implies 5-c=3 \implies c=2\)

\(\implies 5+c=7 \implies c=2\)

The major axis of a horizontal ellipse is 2a.

If the major axis is 10, then a = 5.

The vertices of a horizontal ellipse are (h±a, k).  

Therefore the coordinates of the vertices are:

The minor axis of a horizontal ellipse is 2b.

As c² = a² - b² then b = √(a² - c²).

\(\implies b=\sqrt{5^2-2^2}=\sqrt{21}\)

Therefore, the minor axis is 2√(21).

The eccentricity of the ellipse is:

\(\implies e=\dfrac{c}{a}=\dfrac{2}{5}\)

Answer:

\(r = -4\)

Step-by-step explanation:

\(4r+1=-11\)

\(4r=-12\)

\(r = -4\)

The velocity equals zero at `t = 0`.Option (A) `t = 0` is the correct answer.

To find when the velocity equals zero for an object whose position function is defined as `t² = t + 5s³` for `0 < t< 1 seconds`, we need to use the derivative of the position function to get the velocity function. After that, we set the velocity function equal to zero and solve for t. Then, we can determine the time at which the velocity equals zero.The position function, `t² = t + 5s³`, is a polynomial function of degree two. To find the derivative of this function, we need to apply the power rule of differentiation, which is given by `(d/dx)xn = nx^(n-1)`.

Thus, the velocity function is given by:

`v(t) = d/dt (t²) = 2t`. To find when the velocity equals zero, we need to set this expression equal to zero and solve for t.`2t = 0`<=> `t = 0`Therefore, the velocity equals zero at `t = 0`.Option (A) `t = 0` is the correct answer.

To know more about velocity visit:

https://brainly.com/question/30559316

#SPJ11

Answer:

You can always ask the tutor they give the correct answer :))

The probability is approximately 65.99%.

To determine the probability that the length of battery charge time is between 79 and 101 hours, we can use the Empirical Rule (also known as the 68-95-99.7 rule) for a normal distribution.

According to the Empirical Rule, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations of the mean, and approximately 99.7% falls within three standard deviations of the mean.

In this case, the mean is 90 hours and the standard deviation is 11 hours.

To calculate the probability that the battery charge time is between 79 and 101 hours, we need to find the proportion of data within two standard deviations of the mean.

First, we calculate the z-scores for the lower and upper bounds:

Lower z-score:

z1 = (79 - 90) / 11

Upper z-score:

z2 = (101 - 90) / 11

Next, we can look up the corresponding cumulative probability for these z-scores in a standard normal distribution table (or use a calculator or software).

P(z1 < Z < z2) = P(-1.00 < Z < 0.91)

From the standard normal distribution table, we find that the cumulative probability for z = -1.00 is approximately 0.1587, and the cumulative probability for z = 0.91 is approximately 0.8186.

Therefore, the probability that Richard's computer has a battery charging time between 79 and 101 hours is:

P(79 < X < 101) = P(-1.00 < Z < 0.91) ≈ 0.8186 - 0.1587 = 0.6599

So the probability is approximately 65.99%.

Learn more about probability   from

https://brainly.com/question/30390037

#SPJ11

Answer:

Symbolab is an online math tool that offers a wide range of math-related services, including a derivative calculator. The derivative calculator provided by Symbolab is a free tool that allows users to calculate the derivative of a given function with respect to a variable.

To use the Symbolab derivative calculator, you simply need to enter the function you want to differentiate and choose the variable with respect to which you want to differentiate the function. The calculator will then provide you with the derivative of the function in a step-by-step format, including the derivative rules used at each step.

The Symbolab derivative calculator supports a wide range of functions, including trigonometric functions, exponential functions, logarithmic functions, and more. It also supports partial derivatives and implicit differentiation.

For more questions on Symbolab

https://brainly.com/question/30398313

#SPJ4

Answer:

PQ = 35 km

Step-by-step explanation:

Here, we want to get the length of PQ

Let PQ = x

PR is 10 km longer than PQ

PR = 10 + x

QR = 2 * PR

QR = 2(10 + x)

Adding all gives 170;

x + 10 + x + 2(10 + x) = 170

2x + 10 + 20 + 2x = 170

4x + 30 = 170

4x = 170-30

4x = 140

x = 140/4

x = 35 km

PQ = 35 km

The length of the road PQ of the town where, towns P, Q and R are connected by roads PQ ,PR and QR is 35 km.

Length of line segment (say YX) is the distance of both the ends of it (y to x).

Towns P, Q and R are connected by roads PQ ,PR and QR.

The line segment PR is 10 km longer than PQ. Therefore,

\(PR=PQ+10\\PQ=PR-10\)            ......1

The line segment QR is twice as long as the line segment PR. Therefore,

\(QR=2PR\)                 .....2

The total length of three roads is 170 km. Therefore,

\(PQ+PR+QR=170\)

Put the value of PR and QR from equation 1 and 2 in the above equation as,

\((PR-10)+PR+(2PR)=170\\PR-10+PR+2PR=170\\4PR=170+10\\PR=\dfrac{180}{4}\\PR=45\rm km\)

As the line segment PR is 10 km longer than PQ and length of PR is 45 km. Therefore,

\(PR=45-10\\PR=35\rm km\)

Hence, the length of the road PQ of the town where, towns P, Q and R are connected by roads PQ ,PR and QR is 35 km.

Learn more about the line segment here;

https://brainly.com/question/2437195