Which statement is true?


From Lesson 9.06 Probability & Two-Way Tables



The two-way table shows the ages of the players on different soccer teams.

A 6-column table has 4 rows. The first column has entries 8 years old, 9 years old, 10 years old, Total. The second column is labeled Team A with entries 4, 9, 2, 15. The third column is labeled Team B with entries 6, 4, 3, 13. The fourth column is labeled Team C with entries 8, 3, 5, 16. The fifth column is labeled Team D with entries 3, 7, 4, 14. The sixth column is labeled Total with entries 21, 23, 14, 58.



Which statement is true?


The probability that a randomly selected player on Team C is 10 years old is StartFraction 5 Over 16 EndFraction.


The probability that a randomly selected player on Team A is 8 years old is StartFraction 4 Over 21 EndFraction.


The probability that a randomly selected 8-year-old player is on Team C is StartFraction 16 Over 21 EndFraction.


The probability that a randomly selected 10-year-old player is on Team B is StartFraction 13 Over 58 EndFraction.

Answer:

y = -1/2x + 5/2.

Step-by-step explanation:

If a line is perpendicular to another line, the slope of the line is the negative reciprocal of the other. In this case, the line is perpendicular to y = 2x + 3. That means the slope will be -1/2.

Now, we have y = -1/2x + c.

To solve for c, put in the points given.

2 = (-1/2) * 1 + c

c -1/2 = 2

c = 2 + 1/2

c = 4/2 + 1/2

c = 5/2

So, your final answer is that the equation of the line is y = -1/2x + 5/2.

Hope this helps!

Answer:

\(y = -\frac{1}{2} x+\frac{5}{2}\)

Step-by-step explanation:

Perpendicular => So, it would have a slope of negative reciprocal for this slope

Slope = m = -1/2

Now,

Point = (x,y) = (1,2)

So, x = 1, y = 2

Putting in the slope intercept equation to get c

=> \(y = mx+c\)

=> 2 = (-1/2)(1) + c

=> 2+1/2 = c

=> c = \(\frac{4+1}{2}\)

=> c = \(\frac{5}{2}\)

Now, Putting m and c in the slope-intercept equation:

=> \(y = mx+c\)

=> \(y = -\frac{1}{2} x+\frac{5}{2}\)

Answer:

Simone is hiking at a faster rate.

Answer: heyo my friend, missed ya <3

Step-by-step explanation:

The Ole Paint Shop has 11 paintbrushes that went for $7.35 and 25 paintbrushes that went for $9.80.

The Ole Paint Shop sold a total of 34 paintbrushes.

let

x = the number of brushes that sell for $7.35 of one sort each

similar at $9.80 a piece.

y = Number of brushes selling for $9.80

The total amount collected for the brushes was $325.85

Overall cost: $325.85

What proportion of each sort was sold?

we need to find x and y

Let's now make two equations:

x + y = 36

=> x = 36 - y

7.35x + 9.80y = 325.85

In the second equation, replace x with the first expression:

7.35 ( 36 - y) + 9.80y = 325.85

264.6 - 7.35y + 9.80y = 325.85

2.45y =61.25

y = 25

now substitute value of y in first equation

x = 36 -25

x = 11

The Ole Paint Shop has 11 paintbrushes that went for $7.35 and 25 paintbrushes that went for $9.80.

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The value x in the given triangle is 14.

Two triangles are similar if two corresponding angles of them are of same measure. It is because when two pairs of angles are similar, then as the third angle is fixed if two angles are fixed, thus, third angle pair also gets proved to be of same measure. This makes all three angles same and thus, those two triangles are scaled copies of each other. Thus, they're called similar.

We are given that;

Since triangle QRS~triangle AJKL and angle Q and J are right angles, we have:

SR/SA = QR/AJ

Substituting the given values, we get:

20/(SA+12) = (7x-2)/24

Multiplying both sides by 24 and simplifying, we get:

SA + 12 = (480/24) * (20/(7x-2))

SA + 12 = (100/7x-2)

SA = (100/7x-2) - 12

Now, x-12=26

x=26-12

x=14

Therefore, in triangle QRS the answer will be x=14.

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The dairy farmer used the relative frequency method of probability to reach his conclusion.

Relative frequency is a method of calculating probability that is based on the observation of how often an event occurs in a sample. The farmer likely observed how often he gets between 12 and 14 gallons of milk in a day and used that data to calculate the probability of it happening.

In contrast, theoretical probability is based on the assumption that all possible outcomes are equally likely. It is calculated by dividing the number of desired outcomes by the total number of possible outcomes.

Therefore, the correct answer is relative frequency.

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Answer:

Below

Step-by-step explanation:

Simple interest = P r t      P = 150 principal    r = decimal interest rate = .06

                                             t = time

so re-arrange...

interest/(Pr) = t     Plug in the given numbers

  63 / ( 150*.06) = t = 7 years

Hello there,

The answer will be 15 students.

We will solve the equation as follows:-

First add the total of the students in band and chorus -

→ 70 + 95 = 165

Then subtract the previously got number with given number of chorus students:-

→ 165 - 150 = 15

So, there are 15 students who are there in both band and chorus.

✍️ By Benjemin ☺️

Answer:

-5

Step-by-step explanation:

The correct statement describing the graph is ''Function has the same horizontal asymptote as fand a vertical asymptote at x = 6''.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here,

We have to determine:

Which statement correctly describes the graph of g(x) = f(x - 9)?

According to the question

Graph; g(x) = f(x - 9)

here, we have,

The straight-line x=6 is a vertical asymptote of the graph of the function  g(x) = f(x - 9) if at least one of these conditions is true:

we have,

A vertical asymptote occurs in rational functions at the points when the denominator is zero and the numerator is not equal to zero.

we know,

Vertical asymptotes are the vertical lines corresponding to the zeroes of the denominator of the rational number, to calculate the vertical asymptotes simply put the denominator of the rational number to zero, and solve for x, this is the required vertical asymptotes, if the denominator of the rational number is a quadratic, cubic types equations or any other polynomial then simplify put the whole equation to zero and simplify used any method for x, this is the required vertical asymptotes.

Hence, Function has the same horizontal asymptote as fand a vertical asymptote at x = 6.

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The midpoint of a segment in the complex plane with endpoints at 6 - 2i and -4 + 6i is 1 + 2i.

To find the midpoint of a segment in the complex plane, we average the coordinates of the endpoints. The first endpoint is 6 - 2i, and the second endpoint is -4 + 6i.

Adding the real parts and the imaginary parts separately, we get (6 + (-4))/2 = 1 for the real part and ((-2) + 6)/2 = 2 for the imaginary part.

Therefore, the midpoint is given by 1 + 2i. This means that the midpoint of the segment lies on the complex plane at the coordinates (1, 2).

It represents the point equidistant from both endpoints, dividing the segment into two equal parts.

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Answer:

16pi ft^2

(the first answer)

Step-by-step explanation:

Ciphers, such as the enigma machine, that rearrange the sequence of characters based on a fixed rule are known as substitution cipher.

A type of encryption known as a replacement cypher employs a key to substitute certain plaintext chunks with the ciphertext in a predetermined manner.

Single letters, pairs of letters, triplets of letters, combinations of the aforementioned, etc. are all acceptable "units." The receiver decodes the text using the inverse substitution technique to ascertain what the original message was.

Cyphers for transposition and substitution are similar. In a transposition cypher, the plaintext's units are not changed; instead, they are rearranged in a brand-new, frequently extremely complex pattern. A substitution cypher modifies the units themselves while preserving the order of the units from the plaintext in the ciphertext.

The substitution cypher can take many different shapes. If a cypher only functions with single letters, it is referred to as a simple substitution cypher; a polytrophic cypher, on the other hand, functions with larger groups of letters.

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The additive inverse of 6/5 is -6/5. The reason is that when you add a number and its additive inverse, the result is always zero: 6/5 + (-6/5) = 0.

In mathematics, when we have a fraction with a negative numerator and a negative denominator, we can simplify the fraction by dividing both the numerator and denominator by the greatest common factor (GCF) of the absolute values of the numerator and denominator. This process does not change the sign of the fraction.

In the case of -6/-5, the absolute value of the numerator is 6 and the absolute value of the denominator is 5, and the GCF of 6 and 5 is 1. Dividing both the numerator and denominator by 1 gives us -6/-5, which is equivalent to 6/5, with the negative sign indicating that the fraction is negative.

So the negative or additive inverse of -6/-5 is simply its equivalent positive fraction, which is 6/5. This is because the additive inverse of any fraction is a fraction that, when added to the original fraction, results in 0. In this case, adding -6/-5 and 6/5 results in 0.

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Answer:

Describe the middle class of Central America. Mention jobs, homes, and education.ury

Step-by-step explanation:

If Sona pays $15 in the club as dues every month, the dues she pays is a kind of fixed expense.

Therefore the answer is (d) fixed.

Sonya pays $15 each month to the club, this is certainly an expense as it is not the money she earns, but the money she spends.

This expense does not change in each month according to the number of days or any other factors. It is a fixed amount of money each month. Therefore this is a fixed expense.

So the dues Sona pays each month to the club is a fixed monthly expense for her.

--The question is incomplete, the complete question is as follows--

"Sonya pays $15 in club dues each month. What kind of expense is the dues she pays?

a) this would not be an expense.

b) income

c) variable

d) fixed"

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When performing one-dimensional graphical vector addition, the proper starting position for each of the two arrows representing the two vectors being combined depends on the specific scenario.

In general, when adding two vectors in one dimension, you can start both arrows at the same point, such as the origin of a coordinate system. This is commonly done when the vectors are acting in the same direction.

For example, if you have a vector A pointing to the right with a magnitude of 3 units and a vector B pointing to the right with a magnitude of 2 units, you can start both arrows at the same point and draw them to the right, one after the other, with a total length of 5 units.

However, if the two vectors are acting in opposite directions, you can start one arrow at the origin and the other arrow at the endpoint of the first arrow.

For example, if you have a vector A pointing to the right with a magnitude of 3 units and a vector B pointing to the left with a magnitude of 2 units, you can start the arrow for vector A at the origin and draw it to the right for 3 units.

Then, you can start the arrow for vector B at the endpoint of vector A and draw it to the left for 2 units. The resulting vector sum would be the vector connecting the starting point of vector A to the endpoint of vector B.

Therefore, the proper starting position for each of the two arrows representing the two vectors being combined in one-dimensional graphical vector addition depends on their directions. If the vectors are acting in the same direction, you can start both arrows at the same point.

If the vectors are acting in opposite directions, you can start one arrow at the origin and the other arrow at the endpoint of the first arrow.

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p-values are an important tool in hypothesis testing and provide a way to quantify the strength of evidence against the null hypothesis.

When conducting a hypothesis test, p-values mean we have stronger evidence against the null hypothesis and in favor of the alternative hypothesis. A p-value is the probability of observing a test statistic as extreme as or more extreme than the one calculated from the sample data, assuming the null hypothesis is true.

Thus, the smaller the p-value, the less likely it is that the observed sample results occurred by chance under the null hypothesis. In other words, a small p-value indicates stronger evidence against the null hypothesis and in favor of the alternative hypothesis. For example, if we set a significance level (alpha) of 0.05, and our calculated p-value is 0.02, we would reject the null hypothesis and conclude that there is evidence in favor of the alternative hypothesis.

On the other hand, if our calculated p-value is 0.1, we would fail to reject the null hypothesis and conclude that we do not have strong evidence against it. In conclusion, p-values are an important tool in hypothesis testing and provide a way to quantify the strength of evidence against the null hypothesis.

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The value of the coordinates of the figure after transformation is: A'' = (-3, 3), B'' = (9, 3), and C'' = (9, 12).

The transformation, or f: X X, is the name given to a function, f, that maps to itself. After the transformation, the pre-image X becomes the picture X. Any operation, or a combination of operations, such as translation, rotation, reflection, and dilation, can be used in this transformation. A function can be moved in one way or another using translation, rotation, reflection, and dilation. A function can also be scaled using rotation around a point. Two-dimensional mathematical figures move about a coordinate plane according to transformations.

From the given figure, the coordinates of A, B, and C are:

A = (-3, -1)

B = (1, -1)

C = (1, 2)

Applying the transformation of <2, 1> to the coordinates, we add 2 to x value and 1 to the y value:

A' = (-3, -1) = (-1, 1)

B' = (1, -1) = (3, 1)

C' = (1, 2) = (3, 4)

Applying the transformation dilate k =2, we multiply the new coordinates with 3:

A'' = (-3, -1) = (-1, 1) = (-3, 3)

B'' = (1, -1) = (3, 1) = (9, 3)

C'' = (1, 2) = (3, 4) = (9, 12)

Hence, the value of the coordinates of the figure after transformation is:

A'' = (-3, 3)

B'' = (9, 3)

C'' = (9, 12)

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Answer:

A(-3,0) B(9,9) C(9,0)

Step-by-step explanation:

I had the question before

Answer:

The constant cost of dog food is $1.59 per pound.

Step-by-step explanation:

Divide each pound by the cost and you get $1.59

the correct statements are that the basketball reaches a maximum height of 7 feet, and the height of the ball at time 0 is 6 feet.

The given function represents the height of the basketball as a function of time during a free throw. Let's analyze each statement:

1.The basketball reaches a maximum height of 7 feet: This statement is correct. The function may have a point where the height reaches a maximum value of 7 feet.

2.The basketball reaches a maximum height of 20 feet: This statement is not supported by the given function. There is no information suggesting that the ball reaches a height of 20 feet.

3.The height of the ball at time 0 is -9 feet: This statement is not supported by the given function. The function does not provide any information about the height of the ball at time 0.

4.The height of the ball at time 0 is 6 feet: This statement is correct. The given function could have a value of 6 feet when x = 0, indicating that the initial height of the ball is 6 feet.

5.The graph is symmetric about the line x = 5: This statement is not supported by the given function. The symmetry of the graph cannot be determined solely from the given function.

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In a multiple regression problem involving two independent variables X1 and X2, if b1 is computed to be +2.0, it means that. the relationship between X1 and Y is significant .

Multiple regression is a statistical method that may be used to assess a single dependent variable and several independent variables. Multiple regression analysis use known independent variables to anticipate the value of a single dependent variable. Each predictor value is assigned a weight, which indicates how much each predictor contributed to the overall forecast.

In a multiple regression problem involving two independent variables X1 and X2, if b1 is computed to be +2.0, it means that. the relationship between X1 and Y is significant .

The estimated value of Y increases by an average 2 units for each increase of 1 unit of X1, holding X2 constant.

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Answer:

158.35

Step-by-step explanation:

The 95% confidence interval that the true mean income for parking meters in the resort community falls between $3.14 and $5.28 per day.

To find the 95% confidence interval for the true mean income of parking meters in the resort community, we can use a t-distribution since our sample size is small (n=10).
First, we need to find the sample mean and standard deviation. The sample mean is simply the average of the incomes:
x = 4.21
The sample standard deviation can be found using the formula:
s = √[ Σ(xi - x)² / (n-1) ]
Now that we have the sample mean and standard deviation, we can use a t-distribution to find the 95% confidence interval. We need to find the t-value with 9 degrees of freedom (n-1), since our sample size is 10.
Using a t-table or calculator, we can find that the t-value with 9 degrees of freedom and a 95% confidence level is approximately 2.262.
The formula for the confidence interval is:
CI = x ± (t-value x s / √n)
Plugging in the values:
CI =($3.14, $5.28)
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Answer:

negative i think :/

Step-by-step explanation:

The possible weights of the bottlenose dolphin are all values of y that are greater than or equal to 331.5 pounds.

What is the inequalities?

Inequalities are mathematical statements that compare two quantities and indicate that one quantity is greater than, less than, or not equal to the other.

Let x be the weight of the spotted dolphin in pounds.

Then, according to the problem, the bottlenose dolphin weighs at least 21 pounds more than the spotted dolphin. This means that the weight of the bottlenose dolphin, y, is given by:

y ≥ x + 21

We also know that the weight of the spotted dolphin is 310.5 pounds, so we can substitute x = 310.5 into the inequality to get:

y ≥ 310.5 + 21

Simplifying, we get:

y ≥ 331.5

Hence, the possible weights of the bottlenose dolphin are all values of y that are greater than or equal to 331.5 pounds.

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Answer:

(B.) f(x) = |x|

Step-by-step explanation:

Just took the test%

The values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

We know that the amplitude, A = 2 + T; the angular velocity, ω = 4 + U rad/s; and time, t = 1s. Here, the value of T = 1 and the value of U = 4 (as mentioned in the question).

Harmonic motion is a motion that repeats itself after a certain period of time.

Harmonic motion is caused by the restoring force that is proportional to the displacement from equilibrium.

The three types of harmonic motions are as follows: Free harmonic motion: When an object is set to oscillate, and there is no external force acting on it, the motion is known as free harmonic motion.

Damped harmonic motion: When an external force is acting on a system, and that force opposes the system's motion, it is called damped harmonic motion.

Forced harmonic motion: When an external periodic force is applied to a system, it is known as forced harmonic motion.Vectorial formVibrations of harmonic motion can be represented in a vectorial form.

A simple harmonic motion is a projection of uniform circular motion in a straight line.

The displacement, velocity, and acceleration of a particle in simple harmonic motion are all vector quantities, and their magnitudes and directions can be determined using a coordinate system.

Let's now calculate the values of displacement, velocity, and acceleration.

Displacement, s = A sin (ωt)

Here, A = 2 + 1 = 3 (since T = 1)and, ω = 4 + 4 = 8 (since U = 4)

So, s = 3 sin (8 x 1) = 2.68 m (approx)

Velocity, v = Aω cos(ωt)

Here, v = 3 x 8 cos (8 x 1) = 2.24 m/s (approx)

Acceleration, a = -Aω2 sin(ωt)

Here, a = -3 x 82 sin(8 x 1) = -18.07 m/s2 (approx)

Thus, the values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

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