The circle graph describes the distribution of preferred transportation methods from a sample of 300 randomly selected San Francisco residents.

circle graph titled San Francisco Residents' Transportation with five sections labeled walk 40 percent, bicycle 8 percent, streetcar 15 percent, bus 10 percent, and cable car 27 percent

Which of the following conclusions can we draw from the circle graph?

Bus is the preferred transportation for 25 residents.
Bicycle is the preferred transportation for 48 residents.
Together, Streetcar and Cable Car are the preferred transportation for 42 residents.
Together, Walk and Streetcar are the preferred transportation for 165 residents.

The rate of decrease is slower between points B and C compared to the rate of decrease between points A and B.

If you consider the points A(2013; 0.94), B(2015; 0.93), and C(2020; 0.91), calculate the slopes of lines AB and BC and interpret the results.

In order to calculate the slopes of lines AB and BC, you can use the slope formula:

Slope (m) = (y2 - y1) / (x2 - x1)

For line AB, use points A(2013; 0.94) and B(2015; 0.93):

Slope_AB = (0.93 - 0.94) / (2015 - 2013)

Slope_AB = (-0.01) / (2)

Slope_AB = -0.005

For line BC, use points B(2015; 0.93) and C(2020; 0.91):

Slope_BC = (0.91 - 0.93) / (2020 - 2015)

Slope_BC = (-0.02) / (5)

Slope_BC = -0.004

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3.628 fluid ounces will not fit in the pitcher.

We are given the volume of water in a 2-liter bottle and the volume of a 2-quart pitcher. However, the units of measurement are different.

Hence, we need to convert one or both of the volumes to the same units before we can compare them. Use unit conversion factors to convert liters to fluid ounces and quarts to fluid ounces.

Here we have

You pour water from a 2-liter bottle into a 2-quart pitcher without spilling

One liter is equivalent to 33.814 fluid ounces, while one quart is equivalent to 32 fluid ounces.

Therefore, we have:

2 liters = 67.628 fluid ounces

2 quarts = 64 fluid ounces

Since we cannot spill any water, we know that the maximum amount of water that can fit in the pitcher is 64 fluid ounces.

To determine how many ounces will not fit in the pitcher, subtract the amount of water that will fit in the pitcher from the total amount of water in the 2- liter bottle.

This gives us:

67.628 - 64 = 3.628 fluid ounces

Therefore,

3.628 fluid ounces will not fit in the pitcher.

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Using Pythagorean's theorem we can see that the measure of the other leg of the right triangle is 17.89 cm

By Pythagorean's theorem, we know that the sum of the squares of the legs is equal to the square of the hypotenuse.

Then if the other leg has a length x, we can write the equation:

[tex]x^2 + 2^2 = 18^2[/tex]

Solving for x we get:

[tex]x = \sqrt{(18^2 - 2^2)}[/tex]

Solving that square root we will get:

x = 17.89 cm

That is the measure of the other leg of the right triangle.

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The probability that the customer will select two tickets with discounts of $3 and $5 is $1/9 or approximately $0.111.

The study of random occurrences or phenomena falls under the category of probability, which is a branch of mathematics. It represents the probability of an event happening. A number between 0 and 1, where 0 denotes impossibility and 1 denotes certainty, is used to symbolize it. By dividing the number of favorable outcomes by the total number of potential outcomes, the probability of an occurrence is determined. Numerous disciplines, including science, engineering, finance, economics, and social sciences, to mention a few, make extensive use of probability theory.

Since the customer selects a ticket, replaces it, and selects another ticket, the two selections are independent events. The probability of selecting a $3 discount ticket on the first meal is $1/3, and the probability of selecting a $5 discount ticket on the second meal is also $1/3.Therefore, the probability of selecting both a $3 and a $5 discount ticket is:

[tex]\frac{1}{3} . \frac{1}{3} = \frac{1}{9}[/tex]

​

So the probability that the customer will select two tickets with discounts of $3 and $5 is $1/9 or approximately $0.111.

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Answer:

Step-by-step explanation:

This is a binomial problem where the basketball player has a probability of success of 0.725 (making a free throw) and is attempting 60 shots. The number of successful shots is a binomial random variable X ~ Bin(60, 0.725). We need to find the probability that she makes at least 15 of her next 60 shots, which is P(X ≥ 15). This can be computed using the binomial cumulative distribution function (CDF) as follows:

P(X ≥ 15) = 1 - P(X < 15) = 1 - binom.cdf(14, 60, 0.725) ≈ 0.998

Therefore, the probability that she makes at least 15 of her next 60 shots is approximately 0.998.

This is also a binomial problem where the probability of success is 0.14 (a smartphone requiring servicing) and the number of trials is 100 (smartphones in a shipment). We need to find the probability that no more than 10 smartphones in the shipment will require servicing, which is P(X ≤ 10). This can be computed using the binomial CDF as follows:

P(X ≤ 10) = binom.cdf(10, 100, 0.14) ≈ 0.289

Therefore, the probability that no more than 10 smartphones in the shipment will require servicing is approximately 0.289.

This is also a binomial problem where the probability of success is 0.06 (a scratch-off lottery ticket having a prize of a free ticket) and the number of trials is 200 (tickets at the local convenience store). We need to find the probability that this prize is on 15 or more of the tickets, which is P(X ≥ 15). This can be computed using the binomial CDF as follows:

P(X ≥ 15) = 1 - P(X < 15) = 1 - binom.cdf(14, 200, 0.06) ≈ 0.021

Therefore, the probability that the prize is on 15 or more of the 200 tickets at the local convenience store is approximately 0.021.

The options that complete the statements are:

The converse Pythagoras theorem states that If the square of a side is equal to the sum of the square of the other two sides, then the triangle must be a right-angled triangle.

Thus, given ABC with side lengths a, b, c.

where a² + b² = c²

Then c must be the side opposite a right angle and ABC must be a right triangle.

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When you rewrite an addition or subtraction problem using the Distributive Property, you have to factor out both values by a common factor, usually the GCF.

This process involves identifying the common factor (the greatest common factor, or GCF) of the terms and then applying the Distributive Property to rewrite the expression. This common factor can be the greatest common factor (GCF) if it exists, but it does not have to be. The goal is to find a factor that is common to both terms, so that it can be factored out and the expression can be simplified.For example, consider the expression 6 + 8. We can rewrite this using the distributive property by factoring out 2, which is a common factor of both 6 and 8:6 + 8 = 2(3) + 2(4)Then, we can simplify the expression by adding the like terms:2(3) + 2(4) = 6 + 8 = 14Note that in this example, we factored out the common factor 2, which is not the GCF of 6 and 8 (the GCF is 2). However, factoring out 2 allowed us to simplify the expression using the distributive property.

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A t-distribution with 8 degrees of freedom has been graphed, and the shaded region under the curve to the right of t0.2 represents the probability of obtaining a t-value greater than t0.2. The area of this region is 0.2, which means there is a 20% probability of getting a t-value greater than t0.2 in this distribution.

1. Distribution: In this context, it refers to a statistical distribution, which is a function describing the probability of different outcomes in an experiment. Here, we have a t-distribution with 8 degrees of freedom.

2. Graphed: This means that the distribution is represented visually as a curve on a graph, with the x-axis representing the t-values and the y-axis representing their probabilities.

3. Region under the curve: In a probability distribution graph, the region under the curve represents the probabilities associated with different t-values. The area of this region corresponds to the probability of a particular outcome or range of outcomes.

4. Area of this region: In the given scenario, the shaded region under the curve to the right of t0.2 has an area of 0.2, indicating that the probability of obtaining a t-value greater than t0.2 is 0.2, or 20%.

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Here are three values that would make the inequality 7n ≤ 21 true are found out to be n = 0, n = 1 and n = 3.

The inequality 7n ≤ 21 means that the product of 7 and n is less than or equal to 21. To make this inequality true, we need to find values of n that satisfy this condition.

If we substitute n = 0, we get 7(0) = 0, which is less than or equal to 21. Therefore, the inequality is true for n = 0.

If we substitute n = 1, we get 7(1) = 7, which is less than or equal to 21. Therefore, the inequality is true for n = 1.

If we substitute n = 3, we get 7(3) = 21, which is equal to 21. Since 21 is also less than or equal to 21, the inequality is true for n = 3.

Note that there are many other values of n that would also make the inequality true, such as any value of n less than or equal to 3.

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The age of Alvin is 66 years. Then the age of Elga will be 22 years.

Given that:

Alvin's age is three times Elga's age. The sum of their ages is 88.

Let 'x' be the age of Alvin and 'y' be the age of Elga. Then the equations are given as,

x = 3y                      ...(1)

x + y = 88                ...(2)

From equations (1) and (2), then we have

3y + y = 88

4y = 88

y = 22

Then the value of 'x' is calculated as,

x = 3 × 22

x = 66

The age of Alvin is 66 years. Then the age of Elga will be 22 years.

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The answer to this would be 3

The trigonometric ratio of the angle in radical and decimal form are:

cos 210° = -(√3)/2

sin 210° = -1/2

cos 210° = -0.87

sin 210° = -0.50

There are different trigonometric ratios such as:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

We are given the angle as  θ = 210°. Thus:

cos 210° = -(√3)/2

Negative because it is in the third quadrant.

sin 210° = -1/2

Negative because it is in the third quadrant.

Similarly, those angles in decimals to the nearest hundredth are:

cos 210° = -0.87

sin 210° = -0.50

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Where the above conditions are given, the correct graph is "a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled sprinkles going to a value of 17, the second bar labeled nuts going to a value of 12, the third bar labeled hot fudge going to a value of 27, and the fourth bar labeled chocolate chips going to a value of 44" (Option A)

We must examine the data to choose the best graph for this case. In this scenario, the toppings have a link with the amount of clients that choose each flavor.

We may conclude that the best choice is A based on the amount of persons who like each topping in the order in which the table organizes them.

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For n = 421, find its square root: √421 ≈ 20.52. There are 8 prime numbers less than or equal to 20.52: 2, 3, 5, 7, 11, 13, 17, and 19. Testing for divisibility, 421 is not divisible by any of these prime numbers, so n = 421 is prime.

To test whether 323 is prime, we need to find the prime numbers less than or equal to its square root. The square root of 323 is approximately 17.97, so we need to find the prime numbers less than or equal to 17. The prime numbers less than or equal to 17 are 2, 3, 5, 7, 11, 13, and 17. We can check whether 323 is divisible by any of these numbers. If it is not divisible by any of them, then it is prime.

323 is divisible by 17, so it is not prime.

To test whether 421 is prime, we need to find the prime numbers less than or equal to its square root. The square root of 421 is approximately 20.52, so we need to find the prime numbers less than or equal to 20. The prime numbers less than or equal to 20 are 2, 3, 5, 7, 11, 13, 17, and 19. We can check whether 421 is divisible by any of these numbers. If it is not divisible by any of them, then it is prime.

421 is not divisible by any of these numbers, so it is prime.
For n = 323, first find its square root: √323 ≈ 17.97. There are 7 prime numbers less than or equal to 17.97: 2, 3, 5, 7, 11, 13, and 17. Testing for divisibility, 323 is divisible by 17 (323 = 17 * 19), so n = 323 is not prime.

For n = 421, find its square root: √421 ≈ 20.52. There are 8 prime numbers less than or equal to 20.52: 2, 3, 5, 7, 11, 13, 17, and 19. Testing for divisibility, 421 is not divisible by any of these prime numbers, so n = 421 is prime.

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Answer:

Liam has $12.

Step-by-step explanation:

Since Drew has $18 and that is $6 more than Liam's amount of money, you would subtract 6 from 18.

18-6=12

Hence, Liam has $12.

Please let me know if this helped! If it did, please mark brainliest! If you have any more questions, please let me know! Have a splendid day!!! <3

Answer:

50

Step-by-step explanation:

A person travels to work at an average speed of 40 mph, and returns home at 60 mph. the average speed for the entire trip is 48 mph.

To find the average speed for the entire trip, we need to use the formula:

average speed = total distance / total time

Let's assume that the distance to work is d.

The time it takes to travel to work is:

time = distance / speed = d / 40

The time it takes to return home is:

time = distance / speed = d / 60

The total distance for the round trip is:

total distance = d + d = 2d

The total time for the round trip is:

total time = d/40 + d/60

We can simplify the total time by finding a common denominator:

total time = (3d/120) + (2d/120) = 5d/120 = d/24

Now we can plug in the values for total distance and total time:

average speed = (2d) / (d/24) = 48 mph

Therefore, the average speed for the entire trip is 48 mph.

To find the average speed for the entire trip, we can use the harmonic mean formula for two rates: average speed = (2 * speed1 * speed2) / (speed1 + speed2). In this case, speed1 is 40 mph (to work) and speed2 is 60 mph (returning home).

Using the formula: average speed = (2 * 40 * 60) / (40 + 60) = (4800) / (100) = 48 mph.

So, the average speed for the entire trip is 48 mph.

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The bases of both the triangles are 15 and 5 units respectively.

Given are right triangles we need to find the bases of the triangles,

Using the trigonometric ratios,

1) Let the base be b,

We know that the tangent of an angle is the ratio of the perpendicular side to the base.

So,

Tan 60° = 15√3/b

b = 15√3/√3

b = 15

Therefore the base of the first triangle is 15 units.

Similarly,

2) The cosine of an angle of rt. triangle is the ratio base to the hypotenuse.

So,

Cos 45° = m/5√2

1/√2 = m/5√2

m/5 = 1

m = 5

Therefore the base of the first triangle is 5 units.

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The drive-thru is able to estimate their wait time more consistently will be;

⇒ Super Fast Food , because it has a smaller IQR.

Since, The range of values in the middle of the scores is known as the interquartile range, or IQR.

The appropriate measure of variability is the interquartile range when a distribution is skewed and the median is used instead of the mean to show a central tendency.

Since, IQR is the difference between the third quartile and the first quartile, which is represented by the box in the box plot.

Now, In this case, the IQR for Burger Quick is,

15.5 - 8.5 = 7.0,

while the IQR for Fast Chicken is,

14.5 - 10 = 4.5.

Hence, A smaller IQR indicates that the data is more consistent and less spread out.

Thus, The correct option here is Super Fast Food, because it has a smaller IQR (Interquartile Range).

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The age of Savannah is 11 years old.

The age of Savannah is calculated as follows;

Let x be the age of Gianna

Savannah's age can be expressed as x + 2

The product of their ages is 99, so we can set up the equation;

x(x + 2) = 99

x² + 2x = 99

x² + 2x - 99 = 0

Factorize the quadratic equation as follows;

x² + 11x - 9x - 99 = 0

(x + 11)(x - 9) = 0

x = -11 or 9

ignore the negative solution.

So, Gianna is 9 years old, which means that Savannah is 9 + 2 = 11 years old.

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Answer:

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679

Step-by-step explanation:

because its fun

Answer:

Step-by-step explanation:

The bank paid for somthing for David. Now Davids Bank Account is in the negitve of $52. Now he owes the bank money.

if you take how much money david had

and subtact it with 95 it will equal up to $-52

________________________________________________________

Answer:

Step-by-step explanation:

find fraction and multiply by the full length of arc which is circumference

i.e.  [tex]\frac{part circle}{whole circle} * 2\pi r[/tex]

=[tex]\frac{45}{360} *2\pi 1[/tex]                      reduce fraction

=[tex]\frac{1}{4} \pi[/tex]

The equation of the cost of renting a bicycle given by Krissy is non-proportional.

Here we see that the function Krissy wrote was

y = 5x + 15.

A function is called a proportional function if y/x is some fixed constant. This means, rearranging the equation should give us

y/x = k, where k is some constant.

Here we have,

y = 5x + 15

Dividing both sides by x will give us

y/x = 5 + 15/x

Now, clearly RHS is not a constant as it has a variable x present. Hence the function is non-proportional.

Another way to check the proportionality of a function is to check whether the function is in the form of

y = cx, where c is a constant. Here, there should not be added or subtracted constant with x. On the concerned equation, RHS had an additional constant of + 15.

Hence, the equation given by Krissy is a non-proportional function.

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Complete Question

(Image Attached)

Let a number be 'x'

∴ 1 less than twice x = 2x - 1

The formula for the volume of a cube is V = a³, where a is the length of one of its sides or edges

If the base, height and width of a cube are all 1/3, then the volume of the cube is:

V = (1/3)³

V = 1/27

So, the volume of the cube is 1/27 cubic units.

Step-by-step explanation:

To simplify the given expression:

2[3(4^2+1)]-2^3

First, we evaluate the exponent:

4^2 = 4 * 4 = 16

Now we can substitute this value back into the original expression:

2[3(16+1)]-2^3

Next, we perform the addition inside the parentheses:

16 + 1 = 17

Substituting this back into the expression:

2[3(17)]-2^3

Then, we perform the multiplication inside the square brackets:

3 * 17 = 51

Substituting this back into the expression:

2[51]-2^3

Next, we perform the exponent:

2^3 = 2 * 2 * 2 = 8

Substituting this back into the expression:

2[51]-8

Finally, we perform the remaining multiplication:

2 * 51 = 102

Substituting this back into the expression:

102 - 8

Now we can perform the subtraction:

102 - 8 = 94

So, the simplified form of the given expression is 94.

The piecewise function can be defined as, f(x) = x+3, if x<0 and f(x) =3, if  x≥0, Option B is correct.

We have,

A relation is a function if it has only One y-value for each x-value.

From the given figure it is easily noticed that the function is increasing in nature for x<0 and the function is constant in nature for x>0 because the value of y remains unchanged for any value of x, where x≥0

The value of function is 3 at x=0.

The value of the function is always 3 for all x≥0 .

f(x)=3 for x≥0

The function is a straight line with intercepts (-3,0) and (0,3).

slope = 3-0/0+3

=1

Let us find the y intercept

0=1(-3)+b

b=3

Now equation is y=x+3

For x<0, the function is,

f(x)=x+3

Therefore the piecewise function can be defined as, f(x) = x+3, if x<0 and f(x) =3, if  x≥0.

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Answer:

the picture ain't clear.

Solving multi-step equations involves systematically isolating the variable through algebraic operations. In terms of the 'digital puzzle', it would require the matching of solved multi-step equations with their solutions, providing a practical method of practicing algebra skills.

Based on your question, it appears you are working on a multi-step equation puzzle. In solving multi-step equations, it is important to systematically isolate the variable. For example, if you have a multi-step equation like 3x + 2 = 14, you would first subtract 2 from both sides and then divide by 3 to get x = 4, which is the solution. Each step involves an algebraic operation, and the aim is to simplify the equation to reach your final answer.

The mentioned 'digital puzzle' is most likely an interactive activity where you have to match these multi-step equations with their corresponding solutions. Simply solve each equation and drag the solution to its corresponding equation. This is a great way to practice algebra skills.

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When the sample size is small and the population distribution is not normal, the mean is a biased estimate.

Nonetheless, the bias of the mean reduces as the sample size grows, making it a more trustworthy estimator. As a result, the mean is the biased estimator whose bias will decrease as the sample size increases.

Increasing the sample size has no impact on the bias of the median, standard deviation, and range estimators since they are non-biased estimators.

These estimators may, however, be made more precise and accurate by increasing the sample size, which increases their dependability for predicting population parameters.

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Complete question:

Which biased estimator will have a reduced bias based on increased sample size? mean median standard deviation range

That day the number of adults was 95 and the number of children was 38

Let's define the variables:

x = number of adults.

y = number of children.

We know that 133 people used the public swimming pool. then we can write:

x + y = 133

We also know that the receipts for admission totaled 270.75, then we can write other equation as:

2.25x + 1.5y = 270.75

Then the system of equations is:

x + y = 133

2.25x + 1.5y = 270.75

In the first equation we can isolate x to get:

y = 133 - x

Now replace that in the other equation to get:

2.25x + 1.5*(133 - x) = 270.75

0.75x + 199.5 = 270.75

0.75x = 270.75 - 199.5

x = 71.25/0.75 = 95

Then the value of y is:

y = 133 - 95 = 38

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