Two different numbers are selected ffrom -2,-2,0,3,4,5 and multiplied together. what is the probability that the product is zero

Answers

Answer 1

Two numbers are drawn without replacement. The only way their product is zero is if one of these numbers is zero. The probability of this happening is

[tex]\dfrac{\dbinom11 \dbinom51}{\dbinom62} = \dfrac{1\cdot5}{15} = \boxed{\dfrac13}[/tex]

In other words,

• there is 1 zero in the list - we draw it with [tex]\binom11 = 1[/tex] way of doing so;

• there are 5 non-zero numbers in the list - we draw 1 of these, with [tex]\binom51 = 5[/tex] ways of doing so;

• there is a total of 6 numbers in the list - we draw 2 of these, with [tex]\binom62 = 15[/tex] ways of doing so.

On the other hand, if the numbers are drawn with replacement and independently of one another, then each number has the same probability of getting drawn each time. There are 6×6 = 36 possible outcomes, each with 1/36 probability of occurring. Their product is zero if at least one of the numbers drawn is zero. The probability of this happening is

[tex]\dbinom21 \dfrac16 \times \dfrac56 + \dbinom22 \left(\dfrac16\right)^2 = \dfrac{11}{36}[/tex]

That is,

• there is 1/6 chance of drawing a zero and 5/6 chance of not drawing a zero. This can selection can happen in [tex]\binom21=2[/tex] ways (zero is drawn first or last);

• there is 1/6 chance of drawing a zero for either selection. This can happen in [tex]\dbinom22=1[/tex] way (zero is drawn both times).

While the probabilities are close, they are not the same! Be careful with which interpretation you choose.

[tex]\dfrac13 = \dfrac{12}{36} > \dfrac{11}{36}[/tex]


Related Questions

Find the equation of the linear function represented by the table below in slope-intercept form. x y -1 -1 2 14 5 29 8 44

Answers

The equation of the linear function represented by the table below in slope-intercept form is y = 5x + 4

Linear equations

The equation of a line in point-slope form is expressed as y = mx + b

where

m is the slope

b is the intercept

Using the coordinate points (-1,-1) and (2, 14)

Slope = 14+1/2+1

slope = 15/3

Slope = 5

For the intercept;

14 = 5(2) + b

14 = 10 + b

b = 4

The y-intercept is at the point (0,4)

Determine the equation

y = mx + b

y = 5x + 4

Hence the equation of the linear function represented by the table below in slope-intercept form is y = 5x + 4

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The planet XYZ travels about the star ABC in an orbit that
is almost circular. Assume that the orbit is a circle with
radius 94,000,000 mi. Assume there are 24 hours in one
day on planet XYZ.
(a) Assume that XYZ planet year is 346 days, and find the
angle formed by XYZ's movement in one day.
(b) Give the angular speed in radians per hour.
(c) Find the linear speed of XYZ in miles per hour.
please help me!!!

Answers

Answer:
v = 2.33 10⁷ mi / h


Explanation:

For this exercise we must observe that the velocity module is constant, so we can use the kinematic relation       v = d / tThe distance traveled in each orbit is the length of the circle      L = 2π rThe time it takes in orbit is called period (T)Let's reduce the quantities      r = 8.9 10⁷ mi      t = 24 h (3600s / 1 h) = 86400 sWe replace      v = 2π r / TLet's calculate     v = 2π 8.9 10⁷/86400     v = 6.47 10³ mi / s     v = 6.47 10³ mi / s (3600 s / 1h)     v = 2.33 10⁷ mi / h

I need help and i WILL OFFER 100 POINTS and make you a BRAINLIEST or try

Answers

Answer:

782.5

Step-by-step explanation:

First off, we have to somewhat follow the order of PEMDAS.

1) Simplify the exponents

[tex]\frac{(7.3 * 1000000) + (2.4 * 10000000)}{(4 * 10000)}[/tex]

2) Multiply what's in the parenthesis

[tex]\frac{7,300,000 + 24,000,000}{40,000}[/tex]

3) Now we have to add what's on the top bracket

[tex]\frac{31,300,000}{40,000}[/tex]

4) After all the simplifying is done, we have to divide

31,300,000 ÷ 40,000 =  782.5

I hope this helped you :)

Step-by-step explanation:

you can ask questions for clarification

Examine the following graph of y=1/4x+2.


If the point (−4,b) is on this line, what is the value of b?

Enter your answer as the correct value, like this: 42

Answers

Answer:

b = 1

Step-by-step explanation:

they are asking what is y when x is -4.  We can look on the graph and see that when x = -4, when is 1.  It is the point (-4,1).

We can also see it algebraically.  We can replace x with -4 and solve for y

y = 1/4 x + 2

y = 1/4((-4) + 2

y = -1 + 2

y = 1

Which contributions did Galileo make to the model of the solar system? Select two options.

0 A mathamatical model for the orbits of the planet.
0 scientifically accurate data on planetary orbits
0 data that showed that planets reflected sunlight simular to earths moon
0 the idea that stars are suns that do not move
0 observations of the moons of jupitar rotating rotating around the gas giant.

WHOEVER ANSWERS GETS 1,000 YEARS OF GOOD LUCK. IF YOU CAN'T TELL, IM DESPERATE

Answers

Answer: It should be 3 and 5

Step-by-step explanation: I hope this helps <33

which expression is equivalent to 4(23)? 4(20 3) 4 left parentheses 20 plus 3 right parenthesis 4(2 13) 4 left parentheses 2 plus 13 wright parentheses 4(20 30) 4 left parentheses 20 plus 30 right parenthses 4(2 3)

Answers

4 • 23 = 92 so the correct answer is a  4(20+3).

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

For example, x + y is an expression, where x and y are terms having an addition operator in between.

Expressions can be simplified to form an answer. For example, 3+6-2 is an expression that can be simplified to 7. There are two different ways to simplify arithmetic expressions and algebraic expressions. We use the bracket open division multiplication addition subtraction rule which means the operations are performed in the given manner to simplify them.

For example, 2x+5x results in 7x, whereas 7ab-b is an expression that has two unlike terms, which cannot be added.

Checking for all the options:

option a) 4 (20+3)=4 * 23 = 92

option b) 4 (2 + 13) = 4 * 15 =60

option c) 4 (20 + 30) = 4 * 50 =200

option d) 4 (2 + 3) = 4 * 5 = 20

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If it costs $9.50 to buy a
movie ticket, what is the
most number of tickets
someone can buy for
$40.00? How much money
is left over?
PLEASE SHOW WORK

Answers

The number of tickets that can be bought with $40 is 4 tickets

How to calculate the number of tickets ?

It costs $9.50 to buy 1 tickets

The number of tickets that will be bought with $40 can be calculated as follows

= 40/9.50

= 4.2

Hence 4 tickets will be bought with $40

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a sequence is determined by f (n) = -4 +2n for n > 1. which of the following statements is the recursive definition of f?

f(1)=-2, f(n)=f(n-1)+2 for n>2
f(1)=-4, f(n)=f(n-1)++2n for n>2
f(1)=-2, f(n)=f(n-1)+(-4) for n>2
f(1)=-4, f(n)=f(n-1)+2 for n >2

Answers

The statement that is the recursive definition of f is f(1) = -2 f(n) = f(n - 1) + 2  for n > 2

How to determine which of the following statements is the recursive definition of f?

The function definition is given as

f(n) = -4 +2n for n > 1

Start by calculating f(2), f(3) and f(4)

So, we have

f(2) = -4 +2(2)

f(2) = 0

f(3) = -4 +2(3)

f(3) = 2

f(4) = -4 +2(4)

f(4) = 4

In the above computation, we can see that the sequence is an arithmetic sequence with a common difference of 2

So, we have

f(n) = f(n - 1) + 2

Also, we have

f(1) = -4 +2(1)

f(1) = -2

Hence, the statement that is the recursive definition of f is f(1) = -2 f(n) = f(n - 1) + 2  for n > 2

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a simple dart target has two concentric circles. the larger circle has a radius of 4. the smaller circle has a radius of 2. the scoring should correspond to the relative difficulty of hitting the inner circle and the outer ring. how many more points should a player receive for landing a dart in the inner circle, as opposed to the outer ring? the player should receive 2 π times as many points. the player should receive 3 times as many points. the player should receive 9 times as many points. the player should receive 4 π times as many points.

Answers

The points awarded for striking the inner circle ought to be tripled.

What is the inner circle?

The face region of the circle determines the likelihood of landing an outrage there.The formula for calculating a circle's area is: inner circle for the exterior circle, apply the formula to subtract the inner circle's value to determine the remaining area.

The formula for the area of a(one) circle is an inner circle for the external circle, use the formula also abate the value of the inner circle, to find the remaining area, which means that the area of the external circle is 3( three) times larger, making it 3( three) times more likely to hit the external circle.

Thus, The points awarded for striking the inner circle ought to be tripled.

[tex]\pi r^2 A =\pi 2^2 = 12.566 A\\[/tex]

so,

[tex]\pi 4^2 - 12.566 = 3(three)[/tex]

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Need help with this I don’t understand what to do and how to do it helppppp

Answers

Answer: In the first graph, you plug in the numbers, so the rule would be "+9" and the term would be 9 for the first one, the second term is 18 and the rule stays the same. In the second one, the rule is that they each go up by (+7)

I hope that helps :)

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Question is …What is the constant proportionality?Write your answer as a whole number or decimal…

Answers

Answer:

y=5x

Step-by-step explanation:

He has 10 carrots every 2 square feet

We can simplify it to 5 carrots every 1 square foot and if we put it into an equation with the variables, then we get:

y = 5x

Y=5x is going to be your correct answer

\large \frac{2\cdot3^{-4}}{5^{-2}}
Adam wrote: \large \frac{2\cdot5^2}{3^4}

Nick wrote: \large \frac{5^2}{2\cdot3^4}

Shane wrote: \large \frac{2\cdot3^4}{5^{^2}}

Who is correct and why?

a
Adam is correct because the negative exponent moves the base to the other side of the fraction bar and makes the exponent positive.
b
None of these are correct because the students did not add the exponents in the numerator and then subtract exponents since there is division.
c
Nick is correct because the negative exponent in the numerator moves the whole numerator into the denominator and makes the exponent positive.
d
Shane is correct because all that needs to be done is to make the negative exponents positive.

Answers

Answer:the answer is A:nick is correct

Step-by-step explanation:

Based on the fraction given of [tex]\large \frac{2\cdot3^{-4}}{5^{-2}}[/tex], the correct person is c. Nick is correct because the negative exponent in the numerator moves the whole numerator into the denominator and makes the exponent positive.

Why is Nick correct?

When a number is being taken to the negative power, then it can be rewritten as a fraction where the number becomes the denominator and the numerator becomes 1.

The number, 2.3⁻⁴ can be written as:

= 1/2.3⁴

The number 5⁻² can be written as:

= 1 / 5²

When these numbers are divided we get:

= 1/2.3⁴ ÷ 1 / 5²

= 1/2.3⁴ x 5²/1

= 5² / 2.3⁴

= [tex]\large \frac{5^2}{2\cdot3^4}[/tex]

In conclusion, Nick was correct.

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the given equation is either linear or equivalent to a linear equation. solve the equation. (if there is no solution, enter no solution. if all real numbers are solutions, enter reals.)

Answers

The given equation has one solution which is x = 6 (which is a REAL number).

What is a solution of linear equation?

Linear Equation Solutions are the values of a variables in linear equations that give all possible solutions. Linear equations represent real-world problems by involving unknown quantities with in form with one or more variables.

Some key concepts regarding the solution of linear equation are-

Linear equation solutions are the points where the lines or planes indicating the linear equations intersect or meet. A solution set of a linear equation system is the collection of all possible solutions' values for the variables. While solving linear equations, for example, one can depict the solution of such a system of simultaneous linear equations by having drawn two linear graphs and locating their intersection point.

Now, for the given question;

The linear equation is -

4x + 9 = 33

Solving this;

4x = 33 - 9

4x = 24

x = 24/4

x = 6

Therefore, the solution of the given linear equation is (x=6), where 6 is the real number.

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The complete question is-

The given equation is either linear or equivalent to a linear equation. Solve the equation. (If there is no solution, enter NO SOLUTION. If all real numbers are solutions, enter REALS.)

4x + 9 = 33

Please help me solve this

Answers

Answer:

25.  0 < x < 22.9

26.  0 < x ≤ 3.3

Step-by-step explanation:

The perimeter of a two-dimensional shape is the distance all the way around the outside.

Question 25

[tex]\begin{aligned}\sf Perimeter & < 51.3\\\implies 14.2+14.2+x & < 51.3\\28.4+x & < 51.3\\28.4+x -28.4& < 51.3-28.4\\x & < 22.9\end{aligned}[/tex]

[tex]\textsf{As length is positive: $0 < x < 22.9$}[/tex]

Question 26

[tex]\begin{aligned}\sf Perimeter & \leq 18.7\\\implies 6.4+4.9+4.1+x& \leq 18.7\\15.4+x& \leq 18.7\\15.4+x-15.4& \leq 18.7-15.4\\x& \leq 3.3\\\end{aligned}[/tex]

[tex]\textsf{As length is positive: $0 < x\leq 3.3$}[/tex]

there are 2.54 centimeters in 1 inch. there are 100 centimeters in 1 meter.questionto the nearest meter, how many meters are in 279 inches? enter the answer in the box.

Answers

There are 7 meters in 279 inches.

There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.The number of inches is given to be 279.Unit conversion is a multi-step procedure that includes multiplying or dividing by a numerical factor, determining the appropriate number of significant digits, and rounding.First of all, we need to convert inches to centimeters.1 inch equals 2.54 centimeters.279 inches equals 2.54*279 centimeters.279 inches equals 708.66 centimeters.Now, we need to convert these centimeters into meters.Meters in 100 centimeters = 1Meters in 1 centimeters = 1/100Meters in 708.66 centimeters = (1/100)*708.66Meters in 708.66 centimeters = 7.0866Thus, there are approximately 7 meters in 279 inches.

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Multiply the total (36.45) by 0.07 to find the tax. Then find the total, including tax.

Answers

Answer:

39.0015

Step-by-step explanation:

36.45 x 0.07 = 2.5515

36.45 + 2.5515 = 39.0015

PLEASEEE I NEED ASAP

Answers

A its a can i have brainliest:(

3)
1 1/3
is fractions between which set of numbers?
A) 1.3 and 1.4
B) 1.2 and 1.3
□ C) 1.1 and 1.2
□ D) 1.4 and 1.5

Answers

None of the above, since the improper fraction 4/3 is identical to the mixed number 1 1/3.

There are various types of fractions, including proper and improper fractions as well as mixed numbers. Mixed numbers: Sometimes converting a mixed number into an incorrect fraction is advantageous or required. If you answer equations that contain both mixed numbers and fractions, you must take this step.

Divide the full integer by the denominator of the fraction (3). (1). 3 x 1 = 3. The product you obtained in the previous step (3) after adding the fraction's numerator (1) is equal to four. 1 + 3 = 4.This turns becomes the improper fraction's numerator. As with the proportion in the mixed number, the denominator remains constant.

Hence, the set of numbers 1 1/3 fraction is 4/3.

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Find the distance between points A and B. A = (3,-7) B = (3,1)

Answers

The distance between points A and B  is 8 units.

We have been given two points A and B.

The coordinates of the points are A = (3,-7) B = (3,1)

We need to find the distance between points A and B.

Let d be the distance between points A and B.

Using distance formula,

d = √[(3 - 3)² + (1 - (-7))²]

d = √[0² + 8²]

d = √8²

d = 8 units

Therefore, the distance between points A and B  is 8 units.

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Consider this system of inequalities.

x + y ≤ –3

y < StartFraction x Over 2 EndFraction

Which graph shows the solution for this system?

Answers

The line x + y ≤ –3 will be solid and shaded below the graph and the line y < x/2 will be dashed and shaded below the graph.

Graphing linear inequalities.

Inequalities is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

When graphing the inequalities x + y ≤ –3, the line will intersects the y-axis at the coordinate point (0, -3) and the line will be solid and shaded below the graph.

When graphing the inequalities y < x/2, the line will intersects the y-axis at the coordinate point (0, 0) and the line will be dashed and shaded below the graph.

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ason works on commission and earns $30 for each computer he sells. The store's manager, Sandra, earns a base salary of $1200 a
month plus $15 for each computer she sells. Let J represent Jason's earnings and let S represent Sandra's earnings for selling c
number of computers. Which system best represents this situation?

Answers

Answer:

30J + 15S = $1,200

Step-by-step explanation:

Since Jason earns $30 per computer and Sandra earns $15 per computer therefore the equation will be written as $30J + $15S = base salary per month.

30J + 15S = $1,200

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.

x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36

Answers

Answer:

(x – 4)² + y² = 36

(x + 6)² + y² = 144

Step-by-step explanation:

All other questions are parabolas!

on monday ramon bought 5 zip disks. two days later the price of the discs were decreased by 1.50 per disk. leticia bought ten disks at the sale price and paid 22 more than ramon paid for 5 disks. what was the original price of a disk

Answers

The original price of a zip disk is; $1.4

How to Solve Algebra Word Problems?

Let cost of zip sticks bought by Ramon be x. Thus;

Cost that Ramon paid = 5x

Now, we are told that 2 days later the price increased by $1.5 per disc. Thus, new cost = x + 1.5

Leticia bought ten disks at the sale price and paid 22 more than ramon paid for 5 disks. Thus, equation here is;

10(x + 1.5) = 5x + 22

Expand the bracket to get;

10x + 15 = 5x + 22

10x - 5x = 22 - 15

5x = 7

x = 7/5

x = $1.4

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Caroline is the youngest of four siblings whose ages are consecutive odd integers. If
the sum of their ages is 96, find Caroline's age.

Answers

Caroline's age is 21 years which is an odd integer.

Integers are a subset of real numbers.

Integers are rational numbers except decimals and fractions.There are 3 types of integers positive , negative and Zero.Positive integers are 3, 6, 789 ...Negative integers are -87, -345, -234 ...Zero integers is 0

It is given that Caroline is the youngest of 4 siblings and all of their ages are odd consecutive integers.

Let us consider the age of Caroline's age to be x years(x is an odd integer).

She is the youngest so the sibling's age who is just older than Caroline is given by x+2 which is also another odd integer.

Ages of the other two siblings will be x + 4 , x + 6 .

Now sum of their ages is 96.

Therefore: x + (x+2) + (x+4) + (x+6) =96

or, 4x + 12 = 96

or, 4x = 84

or, x = 21 (odd integer)

Carline's age is 21 years.

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The town of butler, nebraska, decided to give a teacher-competency exam and defined the passing scores to be those in the 70th percentile or higher. The raw test scores ranged from 0 to 100. Was a raw score of 82 necessarily a passing score? explain.

Answers

Based on the raw score of 82, and the 70th percentile passing, we can infer that as regards 82 being a passing score, No, it might have a percentile rank less than 70.

Is 82 a passing score?

The passing score is one that is in the 70th percentile or higher. This means that the raw score that a student gets needs to be considered higher than 70% of the rest of the scores.

There is a chance that the exam was so easy that most people got good scores. If that were the case, then a score of 82 can be below the 70th percentile which means that the candidate would not pass.

Options for this question are:

Yes, since a score of 82 is higher than 70.No, it might have a percentile rank less than 70.No, it might have a percentile rank greater than 70.Yes, it might have a percentile rank less than 70.

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What is the perimeter of quadrilateral HIJK, with vertices H( – 4,6), I(4,9), J(2,3), and K(7, – 4).

Answers

The perimeter of the quadrilateral is approximately 50.47 units

A quadrilateral is polygon which has 4 sides. The perimeter of a quadrilateral is the sum of the side - lengths of all sides of the quadrilateral .the side lengths are calculated by using the distance formula between two points on the cartesian plane which is given by [tex]{\displaystyle d={\sqrt {(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}}.}[/tex]

Given the vertices of the quadrilateral: H(– 4,6), I(4,9), J(2,3), K(7, – 4).

Let us calculate the distances of HI , IJ , JK and KH

[tex]{\displaystyle HI={\sqrt {(4-(-4))^{2}+(9-(6))^{2}}}.}[/tex]

or, HI = 17 units

[tex]{\displaystyle IJ={\sqrt {(2-(4))^{2}+(3-(9))^{2}}}.}[/tex]

or, IJ = 10

[tex]{\displaystyle JK={\sqrt {(7-(2))^{2}+(-4-(3))^{2}}}.}[/tex]

or, JK = √74 = 8.602... ≈ 8.60

[tex]{\displaystyle KH={\sqrt {(7-(-4))^{2}+(-4-(6))^{2}}}.}[/tex]

or, KH = √221 = 14.866... ≈ 14.87

Now perimeter = HI + IJ + JK + KH

or, perimeter = 8.60 + 14.87 + 10 + 17 = 50.47 units.

Therefore the perimeter of the quadrilateral is 50.47 units.

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Evaluate the expression when h = 5.
2h+h-2 (3) =

Answers

your answer would be 13
in the image i provided gives you a walk through of the steps on how to solve. all you do is plug the 5 into where the places where the h is in the problem and do the math

Answer:

Step-by-step explanation:

For every "h" plug in "5", then follow the order of operations

2h+h-2(3)

2(5)+5-2(3)

10+5-6

15-6

=9

The answer is 9

The record high temperature in Green Bay, Wisconsin is 104 degrees, the record low
temperature is -36 degrees.
What is the difference between the record high and record low temperatures?

Answers

140 degrees. 104-(-36)=140 degrees

A person covers a distance of 1500 meter in 3 minutes.Calculate the speed of a person​

Answers

Answer:

The person runs 30km/h or 30000m/h

Step-by-step explanation:

First let's find speed per minute

➟ 1500/3

➟ 500

Now let's calculate speed per hour

1 hour = 60 minutes

➟ 500 × 60

➟ 30,000 meters

If you would like the meters to be in miles

then Formula divide the meter value by 1000

➟ 30000/1000

➟30

∴ The person runs 30km/h or 30000m/h

The speed of the person is 300 km/hour.

What is speed?

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

Distance covered in 3 minutes = 1500 meters.

1 hour = 60 minutes

3 minutes = 15000 meter

Multiply 20 on both sides.

60 minutes = 300,000 meter

1 km = 1000 meter

Multiply 300 on both sides.

300 km = 300,000 meter

Now,

60 minutes = 300 km

Speed = 300 km/hour

Thus,

300km/hour is the speed of the person.

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PLEASE HELP ME YOU GET 100 POINTS

Answers

Answer: x=36

Step-by-step explanation: a straight line is 180 degrees. on one side, it is 144 degrees. 180-144 = 36.

The answer is 36 180-44
Other Questions
write a function g whose graph is a reflection in the x axis of the graph of f(x)=|x|-5please help What is the sum of 2 3/4 and 2 3/4 ? A. 0 B. 3/4 C. 5 1/2 D. I don't know. how can you use mastering to develop a growth mindset and embrace your mistakes? how can you use mastering to develop a growth mindset and embrace your mistakes? question what went wrong and use hints or provide problem feedback to develop a new strategy repeat the question without changing your approach and input a different answer Picture of a cube in a desert top managers particularly need strong conceptual skills, because changes affecting the organization tend to be more important at their level than at other managerial levels. What is the greatest common factor of 27 and 36? need help i dont know how to solv Select the correct answer. What is the solution for x in the equation? -x + 3/7=2x-25/7 four decades of ceotmt interface research: a review inspired by role theory author links open overlay panel I got one final question... What is -1/3x + 1 = -7Answer Formula: x = once a defendant is found guilty, they can make a number of post-verdict motions. almost all post-verdict motions are granted. 25 students were randomly sampled about their favorite class,Math=18 studentsScience=2 studentsEnglish=2 studentsOther=3 studentsPredict the number of students in an entire school of 300 students whose favorite subject is math. on may 1, mary's morsels provided catering services at a wedding. the bride is billed $4,000 and will pay during the following month. record this transaction on may 1 in the accounting equation of mary's morsels by: multiple choice question. increasing accounts receivable and decreasing revenue increasing accounts receivable and increasing revenue increasing accounts payable and increasing revenue increasing cash and increasing revenue if dan's baseball card collection is stolen after he entered in to an agreement to sell the cards, the contract must be because of impossibility of performance. The Shah family's pancake recipe uses 2 teaspoons of baking powder for every 13 of a teaspoon of salt. How much baking powder would they need if they used 1 teaspoon of salt? starch and cellulose are both polymers of glucose, but humans can digest starch and not cellulose. why do the properties of starch and cellulose differ, since they are both polymers of glucose? A scientist is examining slides of different types of cells. what two features would the scientist use to distinguish a plant cell from an animal cell? While robots do not yet possess common sense or creativity, the day may soon come when they will. Humans are hard atwork creating more and more intelligent androids. Can humans someday create a robot whose intelligence surpasses our own?Will super-intelligent androids obey their human programmers? Or will they make their own decisions? These are issues that areno longer limited to science fiction. Today, they are science fact."What is the cultural context of this passage?The reading takes place in modern times. The narrator shares facts along with her beliefs and questions about thedevelopment of robots.The reading takes place in Greece in 2300 BC. The narrator is the creator of the world's first robot, Archytas.The reading takes place in modern times. The narrator writes science fiction novels about robots who serve humans withthe touch of a button.The reading takes place in the distant future. The narrator is a super-intelligent robot who disobeys its human programmerand makes its own decisions. Please help with both fill in blank for number 7.First Fill in Blank options: -M20-E38-W0Second Fill in Blank options:-increase-decrease-rate did not change show that the roots of the quadratic equation given by(x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0are rea land they can not be equal unless a=b=c.