A study was conducted on the amount of time drivers wait for a stoplight to change at a particular intersection. The amount of time spent by 300 drivers was recorded and the resulting data were used to create boxplot.

a. What is approximately the median amount of time spent at this traffic light?
b. The top 25% of drivers waited at least how long?
c. The mean amount of time spent at this traffic light was bigger or smaller than the median? Explain.

Using translation concepts, the image of point (0,6) after a rotation of 90° counterclockwise about the origin is (-6,0).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The rule for a 90º counterclockwise rotation about the origin is:

(x,y) -> (-y,x).

Hence, the image of point (0,6) is given by:

(0,6) -> (-6,0).

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By creating a General Court made up of delegates from each town in the colony, this document reflects the principle of: D. republicanism.

Federalism simply refers to a form of government in which the federal government and other institutional bodies such as states, towns, smaller units, and provinces share power and authority.

Republicanism can be defined as a form of government that is centered around citizenship in a state and emphasizes their participation for the common good of a geographical area such as states, towns, and other smaller units in a colony.

This ultimately implies that, republicanism involves citizens selecting their representatives (delegates) from each town in a colony, especially through an electoral process such as in Article 8, Fundamental Orders of Connecticut.

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Answer:

republicanism

Step-by-step explanation:

Answer:5

Step-by-step explanation:

On the first day he ate 5. Second day he ate 7. Then 9, 11, and finally 13. That all equals to 45. I don't know for sure though...

Answer:

3/5 of an hour, 60 minutes, 2/3 of an hour

Step-by-step explanation:

The value of the functions at f(-4) = 21 and f(0) = 13.

To evaluate f(x)=-2x+13 for f(-4) and f(0), we need to substitute the values into the equation and solve:

f(-4) = -2(-4) + 13 = 8 + 13 = 21

f(0) = -2(0) + 13 = 13

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There are 14 dogs and 46 chickens in the farmyard.

The supposition that there are d dogs and c chickens.

Each chicken has two legs, but each dog has four.

Consequently, the total number of legs may be written as follows:

4d + 2c

Since we are aware that there are 148 legs in total, we can construct the following equation:

4d + 2c = 148

We may create another equation since we know that there are a total of 60 heads (dogs and chickens):

d + c = 60

Now that we have two equations with two variables, we may answer them both at the same time.

2d + 2c = 120 is the result of multiplying the second equation by two.

When we deduct this from the first equation, we obtain 2d = 28.

So, d = 14.

Reintroducing this into the second equation, we get:

14 + c = 60

So, c = 46.

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Answer:

x=4 is the answer. This is the algebraic answer.

Step-by-step explanation:

|x|-5=-1

x-5=-1

x=-1+5

x=4

The probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is 0.65

The distribution of the fruits is given as:

The probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is:

P = (Apple + Pineapple)/Total

This gives

P = (12 + 21)/(21 + 12 + 18)

Evaluate

P = 0.65

Hence, the probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is 0.65

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Solving a system of equations we can see that:

We can use the variables:

x = mass of the 60% solution.

y = mass of the 85% solution.

We can write a system of equations.

x + y = 70

x*0.6 + y*0.85 = 70*0.8

We can isolate x on the first equation to get:

x = 70 - y

Replace that in the other one:

(70 - y)*0.6 + y*0.85 = 70*0.8

Now we can solve this for y.

y*0.25 = 70*0.8 - 70*0.6

y = 14/0.25 = 56

Then he needs to use 56 ounces of the 85% solution, and 14 ounces of the 60% solution.

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Answer:

X=18

Step-by-step explanation:

(1/2)*x-7 = (1/3)*(x-12) // - (1/3)*(x-12)

(1/2)*x-((1/3)*(x-12))-7 = 0

(-1/3)*(x-12)+(1/2)*x-7 = 0

x/2-1/3*(x-12)-7 = 0

(-1/3*2*(x-12))/2+x/2+(-7*2)/2 = 0

x-1/3*2*(x-12)-7*2 = 0

1/3*x-14+8 = 0

1/3*x-6 = 0

(1/3*x-6)/2 = 0

(1/3*x-6)/2 = 0 // * 2

1/3*x-6 = 0

1/3*x-6 = 0 // + 6

1/3*x = 6 // : 1/3

x = 6/1/3

x = 18

Answer: 46

Step-by-step explanation:

368/8 = 46

36/8 = 4R4

48/8 = 6

46

Answer:

$32

Step-by-step explanation:

Answer:

\(radius_{1}\) = 8 units; \(radius_{2}\) = 6 cm

Step-by-step explanation:

For 3:

Diameter = 16 units

∴ Radius = \(\frac{Diameter}{2}\)

               = \(\frac{16}{2}\)units

     Radius = 8 units

For 4:

Diameter = 12 cm

∴ Radius = \(\frac{Diameter}{2}\)

               = \(\frac{12}{2}\)cm

     Radius = 6 cm

Answer:

why did u delete my comment

Step-by-step explanation:

Answer: bottom right

Answer:

x=2

Step-by-step explanation:

10 - (x + 3) = 5

To solve for x, we can start by simplifying the left side of the equation:

10 - (x + 3) = 5

10 - x - 3 = 5

7 - x = 5

Next, we can isolate x on one side of the equation by subtracting 7 from both sides:

7 - x = 5

7 - x - 7 = 5 - 7

-x = -2

Finally, we can solve for x by dividing both sides of the equation by -1:

-x = -2

x = 2

Therefore, the solution to the equation is x = 2.

Answer:

Step-by-step explanation:

Let us begin with the AA Similarity definition. It states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

This means that we need:

For this problem, it is unclear that there are more than one angles that are congruent to each other. We see that angle <DEF and <ABC are congruent, but the problem does not give any other angles. In another case, we must find one more to prove similarity by the AA similarity theorem.

Answer:

n+3

Step-by-step explanation:

1/2 × 2(n+3)=n +3

I hope this helps

Answer:

2

Step-by-step explanation:

A quadratic equation has two roots . If we wanna check it from the graph , then , the number of points on which it cuts x axis .

Step-by-step explanation:

2N+3N+4N=9N

9N=72

N=72/9

N=8 ANS

hope it helps!

.......

Answer:

16:24:32

Step-by-step explanation:

2+3+4 = 9

72÷9 = 8

One part of the ratio is therefore worth 8.

8 x 2 = 16

8 x 3 = 24

8 x 4 = 32

16:24:32

Answer:

Domain: [0,∞), {x|x ≥ 0}

Range: [0,∞), {y|y ≥ 0}

Step-by-step explanation:

1. Find where the FUNCTION is DEFINED.

A function is a set of ordered pairs where each first element is paired with one, and only one, second element. No element in either pair is without a partner.

2. Find the DOMAIN: The set of all x-values that a function passes through. Also, it is the left coordinate in a coordinate pair.

3. The RANGE: the set of all y-values that a function passes through. Also, it is the right coordinate in a coordinate pair.

The probabilities are given as follows:

3. P(rides bus|owns a car) = 1/3.

4. P(red|organic) = 3/5.

The probability of an event in an experiment is obtained as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

For item 3, the outcomes are given as follows:

Hence the probability is:

P(rides bus|owns a car) = 8/24 = 1/3.

For item 4, the outcomes are given as follows:

The error was in identifying the total outcomes, and the probability is:

P(red|organic) = 18/30 = 3/5.

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Answer:

61 4gr speed is equal rpto density multiply by acceleration is equal to 4

Mean (X + Y) = Mean (X) + Mean (Y).

The above statement is false.

Discrete Random Variable:

A discrete random variable can be defined as a type of variable whose value depends on the numerical outcome of some random phenomenon. Also called a random variable. Discrete random variables are always easily countable integers. A probability mass function is used to describe the probability distribution of a discrete random variable.

Probability Distributions of Discrete Random Variables:

Probability distributions of discrete random variables list the probabilities associated with each possible outcome. Also called probability function or probability mass function.

The probability of a discrete random variable is between 0 and 1. Also, the sum of the probabilities of a discrete random variable is equal to 1. The probability distribution of discrete random variables resembles the normal distribution.

Example:

Suppose two dice are rolled and a random variable X is used to represent the sum of the numbers. The minimum value of X goes from result 1 + 1 = 2 to 2 and the maximum value goes from result 6 + 6 = 12 to 12. Therefore, X can have any value between 2 and 12 (inclusive). If probabilities are assigned to each outcome, we can determine the probability distribution of X.

Discrete random variables should not be confused with algebraic variables. Algebraic variables represent the values ​​of unknown quantities in computable algebraic equations. However, a discrete random variable can have a range of possible values ​​that result from experimentation.

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Answer:

Step-by-step explanation:

The total distance Raina ran on these four days is:

9.38 + 12.6 + 16 + 3 = 41.98 kilometers

The profit for 24 sales is $64.

The profit for 24 sales, we first need to calculate the revenue and then determine the profit based on the given information.

The revenue function is given as f(x) = 5x, where x represents the number of hamburgers sold.

To find the revenue for 24 sales, we substitute x = 24 into the revenue function:

Revenue = f(24)

= 5 × 24

= 120 dollars

Now, let's calculate the profit.

The profit is $20 less than 70% of the revenue.

We can express this mathematically as:

Profit = 0.7 × Revenue - $20

Substituting the value of Revenue we calculated earlier:

Profit = 0.7 × 120 - $20

= 84 - $20

= $64

We must first compute the revenue for 24 sales before calculating the profit based on the available data.

The revenue function is denoted by the formula f(x) = 5x, where x is the quantity of hamburgers sold.

We add x = 24 to the revenue function to get the revenue for 24 sales:

f(24) = 5 x 24 = 120 dollars is the revenue.

Let's now determine the profit.

The profit is $20 below the revenue's 70%.

This may be written mathematically as:

Revenue - $20 x Profit = 0.7

Substituting the earlier determined figure of Revenue:

Earnings = 0.7 x 120 - $20 = 84 - $20 = $64

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Answer:

14

Step-by-step explanation:

Relative Frequency =  \(\frac{Frequency*100}{Total Frequency}\)

Frequency for the class with lower class is 23 =7

Total Frequency= 7+7+7+9+9+9+2=50

Relative Frequency =  \(\frac{7*100}{50}\) = 14

The relative frequency for lower class limit 23 is 14

9514 1404 393

Answer:

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  time = distance/speed

__

a) For 1 km, the time in hours is ...

  time = (1 km)/(3.5 km/h) = 1/3.5 h = 2/7 h

In minutes, that is ...

  (60 min/h)(2/7 h) = 120/7 min = 17 1/7 min . . . . time for 1 km

__

b) The time for 10 km is 10 times the time for 1 km, so will be ...

  (10)(2/7 h) = 20/7 h = 2 6/7 h

In hours and minutes, that is 2 hours and (6/7)(60 min) = 360/7 min = 51 3/7 min.

The time for 10 km is 2 hours 51 3/7 minutes.

A) The Slope is: 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is: y = 2x + 4

The general form of equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the given graph, we can see that the slope is gotten from the formula:

A) Slope = (y₂ - y₁)/(x₂ - x₁)

Thus:

Slope = (10 - 4)/(3 - 0)

Slope = 6/3

Slope = 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is:

y = 2x + 4

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