flo and carl each must read a 500-page book. flo reads one page every minute. carl reads one page every 50 seconds. flo starts reading at 1:00, and carl starts reading at 1:30. when will carl catch up to flo? a) using t as the number of minutes after 1:30, set up an equation with the number of pages flo has read on the left side and the number of pages carl has read on the right side. then solve the problem.

Based on the fan's beliefs about the probabilities of the red team and blue team winning, the fan should expect the red team to win approximately 6 more games than the blue team in a season of 120 games.

According to the fan's beliefs, the probability of the red team winning is 0.45, while the probability of the blue team winning is 0.40. To determine the expected difference in wins between the red team and the blue team, we can calculate the expected number of wins for each team.

For the red team, the expected number of wins is 0.45 multiplied by the total number of games in the season (120 games), which gives us 0.45 * 120 = 54 wins.

Similarly, for the blue team, the expected number of wins is 0.40 multiplied by 120, which gives us 0.40 * 120 = 48 wins.

The difference in expected wins between the red team and the blue team is 54 - 48 = 6 wins. Therefore, the fan should expect the red team to win approximately 6 more games than the blue team in a season of 120 games.

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The area of the sector is A = π cm² and amplitude is a = 0.75 cm

Given data ,

The area of a sector is given by the formula:

A = (1/2) x r² x θ

where r is the radius of the sector and θ is the central angle in radians.

On simplifying , we get

A = π cm²

r = 1.5 cm

Substituting these values into the formula, we get:

π = (1/2) x (1.5)² x θ

π = (3/4) x θ

Solving for θ, we get:

θ = (4/3) x π

The amplitude of the sector is half of the radius, so:

amplitude = (1/2) x 1.5 cm = 0.75 cm

Hence , the amplitude of the sector is 0.75 cm

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Answer:

3: x = 22.5

4: x = 3.75

Step-by-step explanation:

Answer:

Alex deleted 37.5 selfies

Step-by-step explanation:

Let X be the number of selfies that Vic deleted.

Alex deleted 3X selfies.

After deleting selfies, Alex has 90-3X selfies left.

Vic has 75-X selfies left.

Since Alex has half as many selfies as Vic, we can set up the equation: 90-3X = (75-X)/2

Multiplying through the parentheses on the right side, we get: 90-3X = 75-X/2

Combining like terms, we get: 2X = 15

Dividing both sides by 2, we get: X = 7.5

Since X represents the number of selfies that Vic deleted, Vic deleted 7.5 selfies.

Since Alex deleted 3 times as many selfies as Vic, Alex deleted 37.5 = <<37.5=22.5>>22.5 selfies.

The number of selfies deleted by Alex is 51.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that Alex took 90 selfies and Vic took 75 selfies. Today, they each decided that some of these selfies were not very good and deleted them. Alex deleted three times as many selfies as Vic. Now, Alex has half as many selfies as Vic.

Let Vic deleted x selfies and number of selfies deleted by Alex is 3x,

Therefore,

Since, Alex has half as many selfies as Vic, we can set up the equation: 90-3x = (75-x)/2

180 - 6x = 75 - x

5x = 105

x = 17

3x = 51

Hence, the number of selfies deleted by Alex is 51.

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Answer:

Freedom is any case,

is only possible

by constantly

struggling for it.

Albert Einstein

Answer:

(x + 2)^2-9

How to find answer:

Use the formula (b/2)^2 in order to complete the square.

Hope this helps :)

The quotient of -2 1/2 and -3 1/3 is = 9/16

In the end, the quotient is what we obtain when we divide a number. Putting things into equal groups is a division operation in mathematics. It is symbolised by the glyph (). For instance, there are three groups of 15 balls each that must be distributed equally.

When we divide the balls into three equal groups, the division formula is 15/3 = 5. The quotient is 5 in this case. This indicates that each set of balls will include five balls.

In this case let us first convert the improper fractions into proper fractions:

-2 1/2 = -4+1/2 = -3/2

-3 1/3 = -9+1/3 = -8/3

Now to find the quotient we have to multiply the fraction's reciprocals:

-3/2 × 3/-8

= -9/-16

=9/16

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Answer:

91

Step-by-step explanation:

4 x 91 = 364

To work this out, we must do the inverse operation. The inverse (opposite) of x (times or multiply) is ÷ (divide).

So, we do 364 ÷ 4 = 91

Hope this helps!

- profparis

Answer:

-5/4

Step-by-step explanation:

use the formula rise/run

Assuming that mZDEF=mZDEG:

3x+1=5x+19

Solving for x:

Subtract 5x from both sides:

3x+1-5x=5x+19-5x

1-2x=19

Subtract 1 from both sides:

1-2x-1=19-1

-2x=18

Divide both sides by -2:

-2x/(-2)=18/(-2)

x=-9

The Mystery PROCEDURE's behaviour is best described by the statement Return whether or not word is in list.

When control is sent back to the caller function, the running of a function is complete. Following the call, the calling function immediately continues operation. The invoking function might get a value via a return statement. Visit Return type to find out more.

The script or function that called the function will receive a value once the function has completed its task. Return values can be of any of the four variable types: handle, integer, object, or string. The task your function completes has a significant impact on the outcome it produces. A return, often known as a financial return, is the amount that an investment makes or loses over time.

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The complete question is,

PROCEDURE Mystery (word, list)

{

FOR EACH item IN list

{

IF (item = word)

{

RETURN (true)

}

}

RETURN (false)

}

Which of the following best describes the behavior of the Mystery PROCEDURE?

The event that, by definition, covers the entire sample space of the experiment is A. The number is even or less than 12.

The sample space in this experiment consists of the numbers {2, 3, 4, 5, 6, 7, 8, 9, 10}. To cover the entire sample space, the event must include all possible outcomes.

Option A states that the number is even or less than 12. Since the set of numbers given only includes integers from 2 to 10, all the numbers in the sample space are less than 12, and half of them (2, 4, 6, 8, 10) are even. Therefore, option A covers the entire sample space. Option B states that the number is not divisible by 5. While this event covers some of the numbers in the sample space (2, 3, 4, 6, 7, 8, 9), it does not include all the numbers, leaving out the number 5. Thus, it does not cover the entire sample space.

Option C states that the number is neither prime nor composite. However, all the numbers in the sample space are either prime (2, 3, 5, 7) or composite (4, 6, 8, 9, 10). Therefore, option C also does not cover the entire sample space. Option D is the same as option C and does not cover the entire sample space.

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Answer:

The mean would be 82

Step-by-step explanation:

To find the mean you add up all the numbers.

\(68 + 73 + 95 + 81 + 85 + 90 + 77 + 84 + 75 + 92 = 820\)

Then you divide that be the amount of numbers are given to you.

\(820 \div 10 = 82\)

And that is how you find the mean.

Sorry if it is wrong I'm tired.

The equation of the tangent line at (-3,3) is y = -8x - 21.

What is Tangent Line?

In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve at that point.

To find the equation of the tangent line at a given point on a curve, we need to find the derivative of the curve and evaluate it at the given point. The derivative gives us the slope of the tangent line at that point.

The curve is given by:

x = -4

y = t² - 2t

To find the derivative of y with respect to t, we can use the power rule:

dy/dt = 2t - 2

Now we can evaluate the derivative at each given point to find the slope of the tangent line:

At (0,0):

dy/dt = 2(0) - 2 = -2

So the slope of the tangent line at (0,0) is -2. The equation of the tangent line can be written in point-slope form as:

y - 0 = -2(x - 0)

Simplifying, we get:

y = -2x

Therefore, the equation of the tangent line at (0,0) is y = -2x.

At (-3,-1):

dy/dt = 2(-3) - 2 = -8

So the slope of the tangent line at (-3,-1) is -8. The equation of the tangent line can be written in point-slope form as:

y - (-1) = -8(x - (-3))

Simplifying, we get:

y = -8x + 23

Therefore, the equation of the tangent line at (-3,-1) is y = -8x + 23.

At (-3,3):

dy/dt = 2(-3) - 2 = -8

So the slope of the tangent line at (-3,3) is -8. The equation of the tangent line can be written in point-slope form as:

y - 3 = -8(x - (-3))

Simplifying, we get:

y = -8x - 21

Therefore, the equation of the tangent line at (-3,3) is y = -8x - 21.

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-14 is the value of the expression b - 3a at a =6 and b = 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression b - 3a

For this expression given,

a = 6 and b = 4

Thus the value of expression at given values

=> b - 3a

=> 4 - 3 * 6

=>4 - 18

=> -14

Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.

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Answer:

x>50

Step-by-step explanation:

I hope this helps you

The sequence 38, 44, 50,.... is an arithmetic sequence

The explicit rule of the sequence is an = 32 + 6n

The sequence 38, 44, 50,.... is an arithmetic sequence with the following parameters:

First term, a1 = 38

Common difference, d = 6

The explicit rule is calculated as:

an = a1 + (n - 1) * d

This gives

an = 38 + (n - 1) * 6

Evaluate the product

an = 38 - 6 + 6n

This gives

an = 32 + 6n

Hence, the explicit rule of the sequence is an = 32 + 6n'

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The expected value of the distribution is 7.

To find the expected value of a uniform distribution using Excel, you can use the formula:

E(X) = (b + a) / 2

where a and b are the lower and upper bounds of the distribution.

For this problem, a = 2 and b = 12, so we can plug these values into the formula:

E(X) = (12 + 2) / 2

E(X) = 7

Therefore, the expected value of the distribution is 7.

In Excel, you can simply enter the formula "=AVERAGE(2,12)" in a cell to calculate the expected value of the distribution.

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a) The average slope or rate of change between (0, 1) and (2, 4) is 3/2.

b) The average slope or rate of change between (-2, 1/4) and (-1, 1/2) is 1/4.

c) The slope or rate of change is not constant between these two pairs of points, since the average slopes are different.

d) The function connecting these pairs of points is not a linear function.

The average slope or rate of change between two points (x1, y1) and (x2, y2) on a line is given by

average slope = (y2 - y1) / (x2 - x1)

For the points (0, 1) and (2, 4), the average slope is

average slope = (4 - 1) / (2 - 0) = 3/2

For the points (-2, 1/4) and (-1, 1/2), the average slope is

average slope = (1/2 - 1/4) / (-1 - (-2)) = 1/4

The slope or rate of change is not constant between these two pairs of points, since the average slopes are different. Therefore, the function connecting these pairs of points is not a linear function.

Note that a linear function has a constant slope, so if the slope is changing, then the function cannot be linear.

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Answer: Choose A my smart self just knew

Answer:

25h + 12

Explanation:

21h -10h + 14h + 16 -9 +5  ( group term )

25h + 12                             ( simplified )

Answer:

\(25h+12\)

Step-by-step explanation:

To do this, we need to combine like terms:

\(21h-10h+14h+16-9+5\)

Combine terms that have "h" with each other.

\(11h+14h+16-9+5\)

\(25h+16-9+5\)

Now, combine the rest of the terms that don't have "h".

\(25h+7+5\)

\(25h+12\)

Answer:

3 buses are needed.

Step-by-step explanation:

If there are only 2 buses, it would be full, but there would still be 12 students without a bus. To take all students, you'd need 3 buses. 2 buses will be full, and the other bus would only have 12 students.

Answer:3 buses

Step-by-step explanation:

Because 50+50 is 100 which is two buses

But there are 12 students left so you need 1 more buses

Answer:

\(s = (3 \times 4)2 = 24 \\ s =(3 \times 5)2 = 30 \\ s = (4 \times 5)2 = 40 \\ \\ 24 + 30 + 40 = 94\)

Answer:

None

Step-by-step explanation:

None. √-21 is not a real number.

Answer:

4 and 5   i need to add 20 characters so yahhhh

2 will be the output of the following code snippet.

What is a snippet in coding?

What does a code snippet look like?

The output will be 2 because when two integers are divided in Java, the decimal portion is always truncated.

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The complete question is -

The following snippet of code would produce what outcome? public static void main(String 2 [] args) { int day = 5; switch (day) { case 1: System.out.println("Monday "); case 2: System.out.println("Tuesday "); case 3: System.out.println("Wednesday "); case 4: System.out.println("Thursday "); case 5: System.out.println("Friday "); case 6: System.out.println("Saturday "); case 7: System.out.println("Sunday "); break; default: System.out.println("Invalid Day "); } } Invalid Day Friday Saturday Sunday Invalid Day Friday Friday Saturday Sunday What will be the output of the following code: int x = 20; int y = 40; if (x > 10) { if (y > 50) { System.out.println("Hello, Friend."); } else { System.out.println("Goodbye, Friend."); } } else { if (y > 50) { System.out.println("Hello, Enemy:"); } else { System.out.println("Goodbye, Enemy."); } } Hello, Friend. Hello, Enemy. Goodbye, Friend. Goodbye, Enemy.

Answer:

-5

Step-by-step explanation:

Answer:

The coefficient is the number before the variable. In this, they are asking for the first term which is -5m. The coefficient is -5.

Step-by-step explanation:

The city covers an area of 80.38 square kilometers.

To calculate the number of square kilometers in 31.2 square miles, we need to use the given conversion factor 1 mile = 1.61 km. We can do this by multiplying the number of square miles by the square of the conversion factor.

Hence, the number of square kilometers in 31.2 mi² is calculated as follows:

1 mi² = 1.61² km² (square both sides to convert square miles to square kilometers)1 mi² = 2.5921 km² (square of 1.61)

Now, we can calculate the area in square kilometers by multiplying the number of square miles by the area conversion factor:

31.2 mi² × 2.5921 km²/mi² = 80.38 km²

Therefore, the city covers an area of 80.38 square kilometers.

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