On a recent test, Ahmed knew many of the answers, but there were four questions he was unsure of. In each of the four questions, he was able to eliminate two answers as being clearly wrong and was left with three answer choices to choose from. In each of the four questions, he randomly selected one of the remaining three answers. Which of these statements describes how Ahmed could simulate this situation with a random number generator to determine if he will select the correct answers for these four questions?
It is impossible to simulate this with a random number generator without knowing what the correct answer choices were Using his calculator, Ahmed could use the Randint(1,4) command three times to select three integers from 1 to 4. Let a 1 indicate a correct guess, and a 2, 3, or 4 indicate an incorrect guess. Count the number of 1s to correspond to the number of correct guesses. Using his calculator, Ahmed could use the Randint(1,4) command to select a random integer from 1 to 4. This would be the number of correct guesses he made on the four questions. Using his calculator, Ahmed could use the Randint(1,3) command four times to select four integers from 1 to 3. Leta 1 indicate a correct guess, and a 2 or 3 indicate an incorrect guess. Count the number of 1s to correspond to the number of correct guesses. It is impossible to simulate this with a random number generator without knowing what the correct answer choices were. Using his calculator, Ahmed could use the Randint(1,4) command three times to select three integers from 1 to 4. Let a 1 indicate a correct guess, and a 2, 3, or 4 indicate an incorrect guess. Count the number of 1s to correspond to the number of correct guesses. Using his calculator, Ahmed could use the Randint(1,4) command to select a random integer from 1 to 4. This would be the number of correct guesses he made on the four questions. Using his calculator, Ahmed could use the Randint(1,3) command four times to select four integers from 1 to 3. Let a 1 indicate a correct guess, and a 2 or 3 indicate an incorrect guess. Count the number of 1s to correspond to the number of correct guesses. Using his calculator, Ahmed could use the Randint(1,5) command four times to select four integers from 1 to 5. Leta 1 indicate a correct guess, and a 2, 3, 4, or 5 indicate an incorrect guess. Count the number of 1s to correspond to the number of correct guesses.

Answer:

x>36

Step-by-step explanation:

Hope this helps and good luck

Answer:

find it urself, i give u guide

Step-by-step explanation:

Find the value of the x first

As for now the only info that you have is total of angle in the square is 360°

[tex]360 = 4x - 10 + 3x + 7 + 2x + 3 \\ x = 40[/tex]

Step-by-step explanation:

1)

10(3) + 2(1) = 32/4 = 8 mph

2)

[3(1.5) + 0.5x]/2 = 4

(4.5 + 0.5x) = 8

0.5x = 3.5

x = 7mph

Answer:

20

Step-by-step explanation:

add 3ft+3ft+11ft+3ft and that's your answer

Answer:

Asha has 3x books

Step-by-step explanation:

Since we dont not know how many books Luna has we know it is "X" so luna will have 3 times as much as X so 3x which also represents 3 times x

Answer:

3959

Step-by-step explanation:

Distance from surface to its core is 3,959 miles

Given that;

Diameter of earth = 7,918 miles

Find:

Distance from surface to its core

Computation:

Radius of earth = Distance from surface to its core

Distance from surface to its core = 7,918 / 2

Distance from surface to its core = 3,959 miles

Find out more about 'distance'.

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Answer:

Sorry If I'm wrong but I'm pretty sure you would use theoretical

Step-by-step explanation:

Because Theoretical is used to make predictions and when doing this you would have to make lots of predictions on what you would get.

(Hope It's Right!)

Answer:

Two angles are called supplementary when their measures add up to 180 degrees.

Step-by-step explanation:

Answer:

That is called a supplementary angle

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use pythagorean theorem

9^2 +40^2=x^2

81+1600=x^2

1681=x^2

now find the square root of each side

[tex]\sqrt{1681} =\sqrt{x}[/tex]

x=41

Answer:

The answer would be D

Step-by-step explanation:

Why? because as the temperature increases the amount of lemonade sold increases by 2

This is represented in 2(x) if that makes sense

For every 1-degree increase in high temp of the day, sales decrease by 2 glasses of lemonade. Then the correct option is D.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The function is given below.

f(x) = 2(x – 65) + 12

f(x) = 2x – 130 + 12

f(x) = 2x – 118

For every 1-degree increase in high temp of the day, sales increase by 2 glasses of lemonade. Then the correct option is D.

More about the linear equation link is given below.

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The missing options are given below.

a) for every 65-degree decrease in high temp of the day, lemonade sales increase by 1 glass of lemonade

b) for every 1-degree increase in high temp of the day, sales increase by 2 glasses of lemonade

c) for every 65-degree decrease in high temp of the day, sales decrease by 1 glass

d) for every 1-degree increase in high temp of the day, sales decrease by 2 glasses of lemonade

Answer:

[tex]\frac{dA}{A} = -\frac{1}{70} dt[/tex]

A(t) = [tex]40 e^{-\frac{t}{70}}[/tex]

Step-by-step explanation:

Given - A tank contains 350 liters of fluid in which 40 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Let the A(t) be the number of grams of salt in the tank at time t.

To find - Find the rate at which the number of grams of salt in the tank is changing at time t.

Find the number A(t) of grams of salt in the tank at time t.

Proof -

Given that,

Total fluid in the tank = 350 litres

Total salt = 40 grams

Rate in flow = 5 L/min

Rate out flow = 5 L/min

Concentration in = 0

Concentration out = (Amount of salt at time t )/ (Solution in tank at time t)

Now,

Total solution in the tank at time t = Total fluid in the tank + (Rate in flow - Rate out flow )t

                                                        = 350 + (5 - 5)t

                                                        = 350

⇒Solution in the tank at time t = 350

⇒Concentration out = [tex]\frac{A(t)}{350}[/tex]

Now,

Rate of change in the tank at time t = [tex]\frac{dA}{dt}[/tex]

                                                           =  (Rate in flow )( Concentration In) - (Rate out flow )( Concentration out)

                                                           = 5(0) - 5([tex]\frac{A(t)}{350}[/tex])

                                                           = 0 - [tex]\frac{A(t)}{70}[/tex]

                                                           = [tex]-\frac{A(t)}{70}[/tex]

⇒[tex]\frac{dA}{dt}[/tex] = [tex]-\frac{A(t)}{70}[/tex]

⇒[tex]\frac{dA}{A} = -\frac{1}{70} dt[/tex]

Integrate both sides , we get

ln(A) = [tex]-\frac{1}{70}t + C[/tex]

⇒A(t) = [tex]e^{-\frac{t}{70}+ C}[/tex]

         = [tex]e^{-\frac{t}{70}}*e^{C}[/tex]

         = [tex]C_{1} e^{-\frac{t}{70}}[/tex]

⇒A(t) = [tex]C_{1} e^{-\frac{t}{70}}[/tex]

Now,

Given that,

Initially, the tank has 40 grams of salt

⇒A(0) = 40

⇒C₁ = 40

⇒A(t) = [tex]40 e^{-\frac{t}{70}}[/tex]

Answer: This sample may be biased because he is only asking the bike riders when in reality there might be a majority of students who instead take an alternate form of transportation

Step-by-step explanation:

[tex]\pink{\bigstar}[/tex] Simplified form [tex]\large\leadsto\boxed{\tt\purple{\dfrac{2 \pi}{3}}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf \dfrac{4 \pi \sqrt{5} - 2 \pi \sqrt{5}}{3 \sqrt{5}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf \dfrac{2 \pi \sqrt{5}}{3 \sqrt{5}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf \dfrac{\sqrt{5} (2 \pi)}{\sqrt{5} (3)}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf \dfrac{\cancel{\sqrt{5}}(2 \pi)}{\cancel{\sqrt{5}} (3)}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

★ [tex]\bold\red{\dfrac{2 \pi}{3}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, Option A is the correct choice.

option A.

Step-by-step explanation:

we have

[tex] \frac{4\pi \sqrt{5} - 2\pi \sqrt{5} }{3 \sqrt{5} } [/tex]

taking out 2[tex] \pi\sqrt{5}[/tex] common from the numerator

[tex] \frac{2\pi \sqrt{5}(2 - 1) }{3 \sqrt{5} } [/tex]

canceling [tex] \sqrt{5} [/tex] from both numerator and denominator

[tex] \frac{2\pi(1)}{3} [/tex]

hence the answer is option A.

Answer:

it is C.

Step-by-step explanation:

we know,

14+17= 31

so if we subtarct 17 from 31 we get 14

and if we subtract 14 from 31 we get 17

Answer:

Step-by-step explanation:

Step-by-step explanation:

Per our conceptual understanding, when two parallel lines are cut by a transversal line then their corresponding angles are equal.

So, If PQ and RS are two parallel lines and line L1 as shown is the transversal line then the corresponding angles are equal.

Hence, ∠1 = ∠2Or, c0 = 1800 – c02c = 180c = 90°

Therefore, if we get c = 90° then PQ and RS are parallel else PQ and RS are not parallel,

With this understanding, let us now analyse the individual statements.

Step 3: Analyse Statement 1

“b = 2a”

Per conceptual understanding, the sum of all the angles of a triangle is 180.

Hence, a + b + c = 180a + 2a + c = 1803a + c = 180

However, from the above equation, we can get many values of a and c.

Hence, statement 1 is not sufficient to answer the question.

Step 4: Analyse Statement 2

“c = 3a”

a + b + c = 180a + b + 3a = 180b + 4a = 180

However, from the above equation, we can get many values of a and b.

Hence, statement 2 is not sufficient to answer the question.Step 5: Combine Both Statements Together (If Needed)

From statement 1:

3a + c = 180

From statement 2:

c = 3a

Combining both the statements:

3a + 3a = 180.

From the above equation, we can find the value of a. Then we can find c.

Since we could find the answer by combining both the statements, option C is the correct answer.

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Step-by-step explanation:

To prove - Using the method of proof by contradiction, prove that if

                  a product of two positive real numbers is greater than

                  1,000,000, then at least one of the numbers is greater

                   than 1000.

Proof -

For a proof of contradiction , firstly we have to assume that the statement is not true.

Here given statement is -  A product of two positive real numbers is greater than 1,000,000.

Let if possible, there does not exist 2 +ve integer real number such that at least one of the numbers is greater than 1000.

⇒both the number are in between 0 to 1000

Let a and b are 2 +ve real numbers.

⇒ab < 1000×1000

⇒ab < 1000000

As given,

ab > 1000000

Contradiction.

Hence proved.

If a product of two positive real numbers is greater than 1,000,000, then at least one of the numbers is greater than 1000.

The interquartile range of Victor's lemonade sale is A = 7

The distance between the upper and lower quartiles is known as the interquartile range. Half of the interquartile range corresponds to the semi-interquartile range. Finding the values of the quartiles in a small data set is straightforward.

The spread of the data, or statistical dispersion, is measured by the interquartile range. The middle 50%, fourth spread, or H-spread are further names for the IQR. It is described as the spread between the data's 75th and 25th percentiles.

Given data ,

Let the interquartile range of sales of Victor's lemonade be A

Now , the equation will be

Let the 75th percentile data = 29

Let the 25th percentile data be = 22

Now , the IQR is calculated by spread between the data's 75th and 25th percentiles

On simplifying , we get

The IQR = 29 - 22 = 7

Hence , the interquartile range is 7

To learn more about interquartile range click :

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The complete question is :

Victor is selling lemonade to raise money for his school the amount of money he collected from his sales each day is summarized on the box plot below.

What is the interquartile range of the data?

Answer:

She can invite 66 people so 66 x 5 = $330 + 120 = $450

Step-by-step explanation:

Answer:

The system is of equations is:

[tex]\left\{ \begin{array}{ll} 10g+15r=725 & \quad \\ g+r=60 & \quad \end{array} \right.[/tex]

Where g is the amount of general tickets and r is the amount of reserve tickets.

35 general tickets and 25 reserve tickets were sold.

Step-by-step explanation:

Let general tickets be represented by g and reserved tickets be represented by r.

Each general ticket sells for $10 each and reserved tickets $15 each. Dave collected a total of $725. Thus:

[tex]10g+15r=725[/tex]

And a total of 60 tickets were sold. Hence:

[tex]g+r=60[/tex]

Our system of equations is:

[tex]\left\{ \begin{array}{ll} 10g+15r=725 & \quad \\ g+r=60 & \quad \end{array} \right.[/tex]

We can solve by substitution. First, divide both sides of the first equation by 5:

[tex]2g+3r=145[/tex]

Next, we can subtract a variable (r in this case) from the second equation:

[tex]g=60-r[/tex]

Substitute:

[tex]2(60-r)+3r=145[/tex]

Distribute:

[tex]120-2r+3r=145[/tex]

Simplify:

[tex]120+r=145[/tex]

Subtract:

[tex]r=25[/tex]

Using the previous equation:

[tex]g=60-r[/tex]

Substitute and evaluate:

[tex]g=60-(25)=35[/tex]

So, 35 general tickets and 25 reserve tickets were sold.

Answer:

fine, the answer is 38.47 inches squared;why are you getting this from a live quiz? I know it is a live quiz because it probably is FLVS

Step-by-step explanation:

7 divided by 2 = 3.5

3.5 x 3.5 x 3.14 = 12.25 x 3.14 = 38.465

ROUND IT AND GET 38.47

Any 3 digit number can be expressed in the form of:

[tex](a*100)+(b*10)+(c*1)[/tex]

Where [tex]a, b, c[/tex] represent any natural number from 0 to 9.

We are told the hundreds number (this means [tex]a*100[/tex] in the expression above) is equal to the value of 40 tens, 40 tens is 400. Then, we know the digit in the tens is greater then 6, this means [tex]b>6[/tex] in the expression above.

So, there are multiple numbers the room number could be, namely:

[tex]400+(b*10)+(c*1)\\[/tex]

where [tex]b[/tex] can be 7, 8, or 9; and [tex]c[/tex] can be  0, 1, 2, 3, 4, 5, 6, 7, 8, or 9. So, there's 30 possible room numbers Lydia may be.

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Answer:

y=3x^2 -15x-42

Step-by-step explanation:

Answer:

512.04

Step-by-step explanation:

first you need to find out how many miles it goes in 1 hour so 320 divided by 7.5 which is 42.67

then take 42.67 and multiply it by 12

hope this helps!!

Answer:450

Step-by-step explanation:

Answer:

=4m+8

Step-by-step explanation:

=(4)(m+2)

=(4)(m)+(4)(2)

=4m+8

Answer:

4m +8

Step-by-step explanation:

Take out the parenthesis