Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, one chip has the number 3, and the other chip has the number 5. Miguel must choose two chips, and if both chips have the same number, he wins $2. If the two chips he chooses have different numbers, he loses $1 (–$1). • Let X = the amount of money Miguel will receive or owe. Fill out the missing values in the table. (Hint: The total possible outcomes are six because there are four chips and you are choosing two of them.) Xi 2 –1 P(xi) • What is Miguel’s expected value from playing the game? • Based on the expected value in the previous step, how much money should Miguel expect to win or lose each time he plays? • What value should be assigned to choosing two chips with the number 1 to make the game fair? Explain your answer using a complete sentence and/or an equation.

Answers

Answer 1

Answer:

See explanation

Step-by-step explanation:

Step 1

Miguel wins $2 is if he pulls two chips with the number 1.  

Probability of winning is:

2/4 * 1/3 = 1/6  as there are 4 chips in total

Probability of loosing is:

1- 1/6 = 5/6Step 2

Missing values we found in the step 1, can be populated in the table:

Xi === 2 === -1P(Xi) === 1/6 === 5/6

Expected Value as per table data:

1/6*2 + 5/6*(-1) = -1/2

Expected value is $1/2 loss each time he plays

Step 3

To make the game fair, the expected value should be zero.

Then as per the calculation above, let's replace 2, with x, and find its value.

1/6x + 5/6*(-1) = 0      1/6x = 5/6                   x= 5  

So the amount should be $5 to make the game fair.


Related Questions

If mBC in circle Ais 60°, what is mZ BDC?

a. 60 degrees
b. 45 degrees
c. 30 degrees
d. 25 degrees

Answers

Answer:

Option (C)

Step-by-step explanation:

Measure of the arc BC of a circle A = 60°

Since, measure of an arc is equal to the measure of the central angle that intercepts the arc.

Therefore, m∠A = 60°

Since, measure of the inscribed angle is half of the central angle subtended by the same arc.

Therefore, m∠A = [tex]2\times m(\angle {BDC})[/tex]

60° = 2 × m(∠BDC)

m∠BDC = 30°

Therefore, Option (C) will be the answer.

Answer:

It’s C

Step-by-step explanation:

select the decimal that is equivalent to the fraction 57 over 100

Answers

Answer:

0.57.

Step-by-step explanation:

57  / 100

We divide 57 by 100:

= 0.57

What is the value of $\sqrt{36 \times \sqrt{16}}$?

Answers

Answer:

24

Step-by-step explanation:

If we have two square roots like [tex]\sqrt{36}\cdot\sqrt{16}[/tex], we could do this either of two ways.

1. Multiply 36 by 16 and find the square root of that

[tex]\sqrt{36\cdot16} = \sqrt{576} = 24[/tex]

2. Find the square root of both of them then multiply.

[tex]\sqrt{36} = 6, \sqrt{16} = 4, 6\cdot4 = 24[/tex]

Hope this helped!

In graphing a trigonometric function, how does one establish which are the EXTREMUM coordinates and which are the MIDLINE INTERCEPTION coordinates. I can find the x values and the y values but do not know which X goes with which Y and the graphs end up incorrect! It is EXTREMELY frustrating. How do I discern which is which!!!!! Thank You.

Answers

Answer:

If I getting the question correctly, your doubt is the order of the values you get after doing the math. I mean, you can do the calculations, but in the end, you don't form the coordinate pairs correctly, that's why I understand from your question. So, here is what you need to do.

One way to graph is by using the definitions of those kinds of functions. For example, let's say we want to find the points to draw the function: [tex]y=sin(x)[/tex]

Remember that trigonometric functions have a specific period, that means, their drawing repeats over and over again after a certain number. That period is [tex]2 \pi[/tex], that means this number represents a cycle.

So, the main thing you need to do is to pick a starting point to then, draw the curve according to the [tex]2 \pi[/tex] period.

Now, we know that sine functions intercept the origin of the coordinate system, as you can observe in the image attached, there you can see that from the origin you draw those waves making sure you intercept the x-axis at every [tex]\pi[/tex] number. In the end, you will have a sine function.

On the other hand, if you want to have a chart with all x-values and y-values. First, you need to set x-values: -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5. Then, you need to find each y-values for each of them.

Now, you have to draw a chart value, to keep in other the coordinate pairs, that way, you'll have the correct pairs at the end.

For example, for [tex]x=-5[/tex], we get [tex]y=-0.09[/tex], that means in the chart value, you are gonna form the pair [tex](-5, -0.09)[/tex], and now you have your first point of the drawing. Then, you keep repeating the process until you complete all the chart values.

As you can imagine, you're going to get really small decimal numbers, that's why I explained to you the first method, it's faster and easier.

Derek is building a deck. The sum of the interior angles is 10800 and each interior angle is 1350. How many sides does his deck have

Answers

sum of angles = 10800

measurement of a single angle= 1350

Therefore,

No. of sides = sum of angles / single angle

No of sides = 10800 / 1350

No of sides = 8

Answer:

8 sides.

Step-by-step explanation:

If the sum of the angles is 10,800 degrees, and each angle is 1,350 degrees, the deck will have the number of sides of the sum of the angle measurements divided by each angle's measurements.

10,800 / 1,350 = 1,080 / 135 = 8 sides.

Hope this helps!

Which of these is the opposite reciprocal of 3/4

Answers

Answer: -4/3

Step-by-step explanation: To find the negative reciprocal of a fraction, all you have to do is flip the fraction and change the sign.

So the negative reciprocal of 3/4 is -4/3.

A pretzel company calculated that there is a mean of 75.4 broken pretzels in each production run with a standard deviation of 5.2. If the distribution is approximately normal, find the probability that there will be fewer than 66 broken pretzels in a run.

Answers

Answer:

P [ Z < 66 ]  = 35,15 %

Step-by-step explanation:

Normal Distribution

Population mean μ₀  = 75,4

Standard deviation  σ = 5,2

Then:

P [ Z < 66 ]  =  ( 66 - 75,4 ) / 5,2

P [ Z < 66 ]  = - 9,4 / 5,2

P [ Z < 66 ]  = - 1,81

In z-table we look for the reciprocate area for that  z score and find

P [ Z < 66 ]  = 0,3515

P [ Z < 66 ]  = 35,15 %

The item below is based on the following scenario.
In a third world country, 100 randomly selected people were surveyed about their socioeconomic class and religious affiliation. The results and an excerpt from this fictitious study follow:
Excerpt:
"Based on a chi-square test for independence, the working class differed from the middle class in the distribution of religious identification, χ2 (4, N = 100) = 11.73, p < .05."
The phi coefficient for this study is:________.

Answers

Answer:

φ = 0.34

Step-by-step explanation:

Given:

total number of observations = N = 100

chi-square test for independence χ2 = (4, N = 100) = 11.73

To find:

phi coefficient φ

Solution:

phi coefficient  φ is computed as:

φ = √( χ2 / n )

   = √ (11.73 / 100 )

   = √0.1173

φ = 0.3425

butter and flour are mixed in the ratio 2:3. paul has 640 grams of butter and 880 grams of flour. how much more flour does he need? Can you explain again in a simpler format.

Answers

Answer:

80 grams of butter

Step-by-step explanation:

640/2=329

3x320=960

960-880=80

It is urgent plz answer

Answers

Answer:

my class is 8 th is I don't now this answer

Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.

Answers

Answer:

15 pt

Step-by-step explanation:

Answer:

15 pints

Step-by-step explanation:

1 quarts = 2 pints

From the question we were given 7.5 quarts to to get the desired result multiply 7.5 by 2

Which is 7.5 × 2 = 15 pints

Hope this helps you

In a multiple regression, the following sample regression equation is obtained:yˆ = 152 + 12.9x1 + 2.7x2.a. Predict y if x1 equals 20 and x2 equals 35. (Round your answer to 1 decimal place.)

Answers

Answer:

The predicted value of y is 504.5.

Step-by-step explanation:

Let be [tex]y = 152 + 12.9\cdot x_{1} + 2.7\cdot x_{2}[/tex], for all [tex]x_{1}, x_{2} \in \mathbb{R}[/tex]. If [tex]x_{1} = 20[/tex] and [tex]x_{2} = 35[/tex], the predicted value of y is:

[tex]y = 152 + 12.9\cdot (20) + 2.7\cdot (35)[/tex]

[tex]y = 504.5[/tex]

The predicted value of y is 504.5.


Suppose Grant is going to build a playlist that contains 6 songs. In how many ways can Grant arrange the 6 songs on the playlist?
Grant can arrange the 6 songs on the playlist in
different ways.

Answers

Grant can arrange the songs 720 different ways

The different ways Grant can arrange the 6 songs on the playlist is 720.

What is the different ways to arrange a certain number of objects?

The different ways to arrange 'n' number of objects are n!.

The number of songs in the playlist are 6.

Therefore, the number of ways Grant can build the playlist is

[tex]= 6!\\= (6)(5)(4)(3)(2)(1)\\= 720[/tex]

Learn more to arrange a certain number of objects in different ways here: https://brainly.com/question/18076424

#SPJ3

easy khan academy math. please answer asap

Answers

Answer:

[tex]\boxed{\sf B \ and \ C}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can use trigonometric functions to solve.

[tex]\sf sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

[tex]\sf sin(60)=\frac{5.2}{KL}[/tex]

[tex]\sf KL=\frac{5.2}{sin(60)}[/tex]

[tex]\sf sin(90-60)=\frac{3}{KL}[/tex]

[tex]\sf KL=\frac{3}{sin(90-60)}[/tex]

Find the slope of the line passing through the points (-4, 2) and (-6,5).

Answers

Answer:

-3/2

Step-by-step explanation:

Hey there!

Well to find the slope of a line with 2 points we use the following formula,

y2 - y1 / x2 - x1

5 - 2 = 3

-6 - -4 = -2

Slope = -3/2

Hope this helps :)

Answer:

[tex]Slope = -\frac{3}{2}[/tex]

Step-by-step explanation:

[tex](-4, 2) \:(-6,5).\\\\m =\frac{y_2-y_1}{x_2-x_1} \\\\x_1 = -4\\y_1 =2\\x_2 = -6\\y_2 =5\\\\m = \frac{5 -2}{-6-(-4)}\\ m = \frac{3}{-6+4}\\ m = \frac{3}{-2}\\ \\Slope = -\frac{3}{2}[/tex]

helppppppppppppppppsdss

Answers

Answer:

t = p * n

Step-by-step explanation:

* - multiplication

t is the total cost

in order to find total cost we need to multiple cost per mile on the number of miles so we will receive cost of all miles that we went

Answer:

[tex]\boxed{t=pn }[/tex]

Step-by-step explanation:

t is total cost

The formula is in terms of t (total cost).

p is price per mile

Suppose the price per mile is £60. For every mile he travelled, he has to pay £60.

n is the number of miles travelled.

For example, Carlos travelled 4 miles and the price per mile is £30.

[tex]t=30 \times 4\\t=120[/tex]

His total cost will be £120.

A weatherman stated that the average temperature during July in Chattanooga is 80 degrees or less. A sample of 32 Julys is taken. The correct set of hypotheses is:________. a. H0: μ ≠ 80 Ha: μ = 80b. H0: μ 80 Ha: μ > 80c. H0: μ < 80 Ha: μ > 80d. H0: μ 80 Ha: μ < 80

Answers

Answer:

u <= 80

u > 80

Step-by-step explanation:

The happiest would be

Null hypothesis: u <= 80

Alternative hypothesis: u > 80

The correct set of hypotheses for the sample in July is H0: μ ≠ 80 Ha: μ = 80.

What is the null and alternative hypothesis?

The null hypothesis H0 which is also known as the default hypothesis states that there is no relationship between the population parameters.  The alternative hypothesis (H1 ) states that there is a relationship between the population parameters.

To learn more about the null hypothesis, please check: brainly.com/question/4454077

The lengths, in order, of four consecutive sides of an equiangular hexagon are 1, 7, 2 and 4 units, respectively. What is the sum of the lengths of the two remaining sides?

Answers

Answer:

9

Step-by-step explanation:

Extend every other side of the hexagon so that a triangle is formed.  Since the hexagon is equiangular, the overall triangle is an equilateral triangle, as well as the smaller triangles in the corners.

The length of the sides of the overall triangle is 7 + 2 + 4 = 13.

Therefore, the other two sides of the hexagon are 5 and 4.

The sum is 5 + 4 = 9.

1. The following are the number of hours that 10 police officers have spent being trained in how to handle encounters with people who are mentally ill:

4 17 12 9 6 10 1 5 9 3

Calculate the (a) range, (b) inter-quartile range, (c) variance, and (d) standard deviation.
(Use N)

Answers

Answer:

[tex]Range = 16[/tex]

[tex]Inter\ Quartile\ Range = 6.75[/tex]

[tex]Variance = 20.44[/tex]

[tex]Standard\ Deviation = 4.52[/tex]

Step-by-step explanation:

Given

4, 17, 12, 9, 6, 10, 1, 5, 9, 3

Calculating the range;

[tex]Range = Highest - Lowest[/tex]

From the given data;

Highest = 17 and Lowest = 1

Hence;

[tex]Range = 17 - 1[/tex]

[tex]Range = 16[/tex]

Calculating the Inter-quartile Range

Inter quartile range (IQR) is calculates as thus

[tex]IQR = Q_3 - Q_1[/tex]

Where

Q3 = Upper Quartile and Q1 = Lower Quartile

Start by arranging the data in ascending order

1, 3, 4, 5, 6, 9, 9, 10, 12, 17

N = Number of data; N = 10

---------------------------------------------------------------------------------

Calculating Q3

[tex]Q_3 = \frac{3}{4}(N+1) th\ item[/tex]

Substitute 10 for N

[tex]Q_3 = \frac{3}{4}(10+1) th\ item[/tex]

[tex]Q_3 = \frac{3}{4}(11) th\ item[/tex]

[tex]Q_3 = \frac{33}{4} th\ item[/tex]

[tex]Q_3 = 8.25 th\ item[/tex]

Express 8.25 as 8 + 0.25

[tex]Q_3 = (8 + 0.25) th\ item[/tex]

[tex]Q_3 = 8th\ item + 0.25 th\ item[/tex]

Express 0.25 as fraction

[tex]Q_3 = 8th\ item +\frac{1}{4} th\ item[/tex]

[tex]Q_3 = 8th\ item +\frac{1}{4} (9th\ item - 8th\ item)[/tex]

From the arranged data;

[tex]8th\ item = 10[/tex] and [tex]9th\ item = 12[/tex]

[tex]Q_3 = 8th\ item +\frac{1}{4} (9th\ item - 8th\ item)[/tex]

[tex]Q_3 = 10 +\frac{1}{4} (12 - 10)[/tex]

[tex]Q_3 = 10 +\frac{1}{4} (2)[/tex]

[tex]Q_3 = 10 +0.5[/tex]

[tex]Q_3 = 10.5[/tex]

Calculating Q1

[tex]Q_1 = \frac{1}{4}(N+1) th\ item[/tex]

Substitute 10 for N

[tex]Q_1 = \frac{1}{4}(10+1) th\ item[/tex]

[tex]Q_1 = \frac{1}{4}(11) th\ item[/tex]

[tex]Q_1 = \frac{11}{4} th\ item[/tex]

[tex]Q_1 = 2.75 th\ item[/tex]

Express 2.75 as 2 + 0.75

[tex]Q_1 = (2 + 0.75) th\ item[/tex]

[tex]Q_1 = 2nd\ item + 0.75 th\ item[/tex]

Express 0.75 as fraction

[tex]Q_1 = 2nd\ item +\frac{3}{4} th\ item[/tex]

[tex]Q_1 = 2nd\ item +\frac{3}{4} (3rd\ item - 2nd\ item)[/tex]

From the arranged data;

[tex]2nd\ item = 3[/tex] and [tex]3rd\ item = 4[/tex]

[tex]Q_1 = 3 +\frac{3}{4} (4 - 3)[/tex]

[tex]Q_1 = 3 +\frac{3}{4} (1)[/tex]

[tex]Q_1 = 3 +0.75[/tex]

[tex]Q_1 = 3 .75[/tex]

---------------------------------------------------------------------------------

Recall that

[tex]IQR = Q_3 - Q_1[/tex]

[tex]IQR = 10.5 - 3.75[/tex]

[tex]IQR = 6.75[/tex]

Calculating Variance

Start by calculating the mean

[tex]Mean = \frac{1+3+4+5+6+9+9+10+12+17}{10}[/tex]

[tex]Mean = \frac{76}{10}[/tex]

[tex]Mean = 7.6[/tex]

Subtract the mean from each data, then square the result

[tex](1 - 7.6)^2 = (-6.6)^2 = 43.56[/tex]

[tex](3 - 7.6)^2 = (-4.6)^2 = 21.16[/tex]

[tex](4 - 7.6)^2 = (-3.6)^2 = 12.96[/tex]

[tex](5 - 7.6)^2 = (-2.6)^2 = 6.76[/tex]

[tex](6 - 7.6)^2 = (-1.6)^2 = 2.56[/tex]

[tex](9 - 7.6)^2 = (1.4)^2 = 1.96[/tex]

[tex](9 - 7.6)^2 = (1.4)^2 = 1.96[/tex]

[tex](10 - 7.6)^2 = (2.4)^2 = 5.76[/tex]

[tex](12 - 7.6)^2 = (4.4)^2 = 19.36[/tex]

[tex](17 - 7.6)^2 = (9.4)^2 = 88.36[/tex]

Sum the result

[tex]43.56 + 21.16 + 12.96 + 6.76 + 2.56 + 1.96 + 1.96 + 5.76 + 19.36 + 88.36 = 204.4[/tex]

Divide by number of observation;

[tex]Variance = \frac{204.4}{10}[/tex]

[tex]Variance = 20.44[/tex]

Calculating Standard Deviation (SD)

[tex]SD = \sqrt{Variance}[/tex]

[tex]SD = \sqrt{20.44}[/tex]

[tex]SD = 4.52[/tex] (Approximated)

[tex]20+3x-15+x=27[/tex]

Answers

Answer:

x=11/2

Step-by-step explanation:

First we can combine similar terms on the left side. 3x + x is 4x and 20-15 is 5

Now that we have combined them, we are left with 4x+5=27

Subtract 5 on both sides to cancel out the 5.

4x=22

Divide both sides by 4

x=22/4

Simplify

x=11/2

Answer:

[tex] \boxed{\sf x = \frac{11}{2}} [/tex]

Step-by-step explanation:

[tex] \sf Solve \: for \: x: \\ \sf \implies 20 + 3x - 15 + x = 27 \\ \\ \sf Grouping \: like \: terms, \: 20 + 3x - 15 + x = \\ \sf (3x + x) + (20 - 15) : \\ \sf \implies \boxed{ \sf (3x + x) + (20 - 15)} = 27 \\ \\ \sf 3x + x = 4x : \\ \sf \implies \boxed{ \sf 4x} + (20 - 15) = 27 \\ \\ \sf 20 - 15 = 5 : \\ \sf \implies 4x + \boxed{ \sf 5} = 27 \\ \\ \sf Subtract \: 5 \: from \: both \: sides: \\ \sf \implies 4x + (5 - \boxed{ \sf 5}) = 27 - \boxed{ \sf 5} \\ \\ \sf 5 - 5 = 0 : \\ \sf \implies 4x = 27 - 5 \\ \\ \sf 27 - 5 = 22 : \\ \sf \implies 4x = \boxed{ \sf 22} \\ \\ \sf Divide \: both \: sides \: of \: 4x = 22 \: by \: 4 : \\ \sf \implies \frac{4x}{4} = \frac{22}{4} \\ \\ \sf \frac{ \cancel{4}}{ \cancel{4}} = 1 : \\ \sf \implies x = \frac{22}{4} \\ \\ \sf \implies x = \frac{11 \times \cancel{2}}{2 \times \cancel{2}} \sf \implies x = \frac{11}{2} [/tex]

Show all work! I don't understand this! Brainleist!
I attached a picture this time!

Answers

Answer:

2.94 seconds.

Step-by-step explanation:

The ball will hit the ground when the height of the ball is 0 meters.

The equation is...

h = 61 - 6t - 5t^2.

-5t^2 - 6t + 61 = 0

5t^2 + 6t - 61 = 0

We can use the quadratic formula to solve.

[please ignore the A-hat; that is a bug]

[tex]\frac{-b ± \sqrt{b^2 - 4ac} }{2a}[/tex], where a = 5, b = 6, and c = -61.

= [tex]\frac{-6 ± \sqrt{6^2 - 4 * 5 * (-61)} }{2 * 5}[/tex]

= [tex]\frac{-6 ± \sqrt{36 - 20 * (-61)} }{10}[/tex]

= [tex]\frac{-6 ± \sqrt{36 + 1,220)} }{10}[/tex]

= [tex]\frac{-6 ± \sqrt{1,256} }{10}[/tex]

= [tex]\frac{-6 ± 35.44009029}{10}[/tex]

Since time cannot be negative, we will not minus the 35.44009029.

(-6 + 35.44009029) / 10 = 29.44009029 / 10 = 2.944009029

That is approximately 2.94 seconds.

Hope this helps!

Answer:

[tex]\boxed{t = 2.94 \ seconds}[/tex]

Step-by-step explanation:

When the ball hits the ground, h = 0

Putting this in the equation:

=> [tex]0 = 61-6t-5t^2[/tex]

=> [tex]61-6t-5t^2 = 0[/tex]

Taking -1 as common

=> [tex]-1(5t^2+6t-61) = 0[/tex]

Dividing both sides by -1

=> [tex]5t^2+6t-61 = 0[/tex]

Using Quadratic Equation:

=>t =  [tex]\frac{-b+ / - \sqrt{b^2-4ac} }{2a}[/tex]

=> [tex]\frac{-6 +/- \sqrt{6^2-4(5)(-61)} }{2(5)}\\\frac{-6 +/- \sqrt{36+1220} }{10}[/tex]

=> t = [tex]\frac{-6 +/- 35.44}{10}[/tex]

Either:

t = [tex]\frac{-6+35.44}{10}[/tex]       OR     t = [tex]\frac{-6-35.44}{10}[/tex]

t = 29.44/10      OR     t = -41.44/10

t = 2.94            OR      t = -4.14

Time can never be negative so t = 2.94 secs

Sung Lee invests $10,000 at age 18. He hopes the investment will be worth $30,000 when he turns 25. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Round to the nearest tenth of a percent.

Answers

Answer:

r=17%

Step-by-step explanation:

P is the investment

A is the targeted amount

t= time (25-18=7 years)

A=P(1+r)^t

30000=10000(1+r)^7

(1+r)^7=30000/10000

r=\root(7)(3)-1

r=0.16993 ≅0.17= 17%

check: A=P(1+r)^t ⇒10000(1+0.17)^7=30012≅30000

Use the formula m= v 2 -v 1 x 2 -x 1 to calculate the slope of the line The slope of the line is

Answers

Answer: I actually do not know but i know that the answer is A.

Step-by-step explanation:

I'm smart

PLEASE HELP QUICK!!!! What is the solution to the equation Two-thirds x + 1 = one-sixth x minus 7? x = negative 16 x = negative 4 x = 4 x = 16

Answers

Answer:

-16

Step-by-step explanation:

I solved it out.

Answer:

its d 16

Step-by-step explanation:

i did the test

5(x + 3) – 12 = 43 solve

Answers

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

We can solve this equation by isolating the variable x.

First let’s apply the distributive property:

[tex]5(x+3)-12=43\\5\cdot x + 5\cdot3 - 12=43\\5x + 15 - 12 = 43[/tex]

Combine like terms:

[tex]5x + 3 = 43[/tex]

Now we can subtract 3 from both sides:

[tex]5x + 3 - 3 = 43-3\\5x = 40[/tex]

Divide both sides by 5:

[tex]5x\div5 = 40\div5\\x = 8[/tex]

So [tex]x=8[/tex].

Hope this helped!

Answer:

x = 8

Step-by-step explanation:

5(x + 3) – 12 = 43

Add 12 to each side

5(x + 3) – 12+12 = 43+12

5(x+3) =45

Divide each side by 5

5(x+3)/5 = 55/5

x+3 = 11

Subtract 3 from each side

x+3-3 = 11-3

x = 8

12+[(15-5)]+(9-3)] what is the answer

Answers

Answer:

28

Step-by-step explanation:

12+[(15-5)]+(9-3)]

PEMDAS

Parentheses first

12+[(10)]+(6)]

Then add

12+10+6

Answer: 28

Step-by-step explanation:

URGENT It is given that a regular n-sided polygon has 5 sides more than a
regular m-sided polygon. If the sum of interior angles of the regular
n-sided polygon is twice that of the latter, find the values of m and n.​

Answers

Answer:

m = 7; n = 12

Step-by-step explanation:

"a regular n-sided polygon has 5 sides more than a

regular m-sided polygon"

n = m + 5

The sum of the measures of the interior angles is

180(n - 2) for the n-sided polygon and

180(m  2) for the m-sided polygon.

"If the sum of interior angles of the regular

n-sided polygon is twice that of the latter"

180(n - 2) = 2(180)(m - 2)

We have a system of equations with 2 equations.

n = m + 5

180(n - 2) = 2(180)(m - 2)

Simplify the second equation:

n - 2 = 2m - 4

n + 2 = 2m

Substitute m + 5 for n.

m + 5 + 2 = 2m

7 = m

m = 7

n = m + 5 = 7 + 5 = 12

Answer: m = 7; n = 12

6x – 3y = 3 –2x + 6y = 14 What is the solution to the system

Answers

Answer:

No solution

Step-by-step explanation:

6x – 3y = 3

–2x + 6y = 14

lets solve by substitution:

1) lets isolate y:

6x–3y=3

-3y=-6x+3

y=(-6x+3)/-3

y=2x-1

2) plug in 2x-1 for y in order to find x:

6x-3(2x-1)=3

6x-6x+3=3

3=3

since x cancels out, it means that there is no solution to this linear system of equations

Answer:

No Solution :)

Step-by-step explanation:

3)
Rick says he has
two miles already.
Which form of the verb best completes the sentence?
A)
ran
B)
run
C)
running
D)
runs

Answers

Step-by-step explanation:

Because the sentence is speaking that he has done already so we will use the past verb ran

Rick says he has ran two miles already

Answer:

b. run

Step-by-step explanation:

Rick says he has run two miles already

It will be "ran" if the sentence had said, "Rick 'ran' two miles already."

BRAINLIST PLS!

What are the zeros of the quadratic function f (x) = 2x^2 -10x-3?

Answers

Answer:

x=2.5+sqrt(300)/4, 2.5-sqrt(300)/4

Step-by-step explanation:

1. Need to factor or can use the quadratic formula

2x^2-10x-3=0

a=2, b=-10, c=-3

[-b+-sqrt(b^2-4*a*c)]/(2*a)

[10+-sqrt(100-4*(-200)]/4

[10+- sqrt(300)]/4

x=2.5+sqrt(300)/4, 2.5-sqrt(300)/4

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