A sports reporter suggests that baseball players must be, on average, older than football players, since football is a contact sport and players are more susceptible to concussions and serious injuries. One player was selected at random from each team in both a baseball league and a football league. The data are summarized in the accompanying table. Using the summary statistics, the sports reporter calculated that the 95% confidence interval for the mean difference between league baseball players and football players, HB-HF, was (-0.209,3.189). Summarize in context what the interval means. Click the icon to view the summary statistics for players from both sports. Select the correct answer below. OA. There is a 95% chance that the interval (-0.209,3.189) contains the difference between the sample means. OB. We are 95% confident that the mean age of baseball players is between 0.209 years younger and 3.189 years older than the mean age of football players. OC. We are confident that 95 out of every 100 random samples will yield groups where every baseball player is between 0.209 years younger and 3.189 years older than every football player. OD. The interval (-0.209.3.189) contains 95% of the difference between the sample means. - X Summary Statistics Baseball (B) 31 26.7 3.81 Print Football (F) 32 25.21 2.83 Done

We know that if (x,y) lies on the graph of a function, then (y,x) lies on the graph of its inverse.

This means you need to draw the segment with endpoints (9,1) and (2,3).

Answer:

wut????????

Step-by-step explanation:

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Answer:

402.9092

Step-by-step explanation:

surface area of cylinder - top base = 301.5946

surface area of cone - base = 101.3146

add together 402.9092

Answer:

-6 and -3 for the dots

Step-by-step explanation:

hope this is correct im bad at math

By setting x equal to OR, we obtain the equation r = p + tPQ, which represents the position vector of point R on the line.

In the first paragraph, it is stated that the line passing through points P and Q in R2 can be represented by the vector equation x = p + 1PQ, where p is the position vector of point P. This equation indicates that any point x on the line can be obtained by starting from P (represented by the vector p) and moving in the direction of the vector PQ.

In the second paragraph, it is mentioned that there exists a point R on the line that is equidistant from points P and Q. This means that the distance between R and P is the same as the distance between R and Q. Let's denote the position vector of point R as r.

To find the value of t for which x is equal to OR (the position vector of R), we can set x = r. Substituting the vector equation x = p + 1PQ with r, we get r = p + tPQ, where t is the scalar value we are looking for. Thus, by setting x equal to OR, we obtain the equation r = p + tPQ, which represents the position vector of point R on the line.

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Answer:

3 days=  $105, 6 days= $90, 10 days= $70

Step-by-step explanation:

You can rewrite this equation as y=120-5x

x is the amount of days passed

plug in 3 for x and you get 15. 120-15=105

plug in 6 for x and you get 30. 120-30=90

plug in 10 for x you get 50. 120-50=70

Hope this helps!

:)

Answer:

3

Step-by-step explanation:

The slope is rise/run and for this case, it is 3/1 which equals 3!!!

Answer:

I could but can you please put down the problem.

Step-by-step explanation:

Answer:

the equation for the circumerence of a circle is    pi R squared

Step-by-step explanation:

here the radius is 28

So it would be pi 28squared

so i think it would be 784pi

Answer:

A.

Step-by-step explanation:

The sum of a number, x, and 4 just means x + 4.

If we take twice this sum, it implies that we take the resulting number and multiply it by 2.

Our resulting number is x + 4, so we are left with 2(x + 4).

I hope this helps!

The correct answer is twice the sum of a number and four.

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given an expression, 2(x+4)

The sum of a number, x, and 4 just means x + 4.

Taking twice of the sum, it implies that we take the resulting number and multiply it by 2.

The resulting number is x + 4, so it is 2(x + 4).

Hence, The correct answer is twice the sum of a number and four.

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Answer:

4

Step-by-step explanation:

The staffs takes 7.2 hours to clean 27 rooms

Therefore in one hour, the number of rooms cleaned is

= 7.2/27

= 0.2666

The number of hours required to 15 rooms is

= 0.2666×15

= 4 hours

Jack jogs for 30 minutes and rides his bike for 45 minutes and the pair of linear equations that shows the relationship between the number of minutes he jogs (x) and the number of minutes he rides his bike (y) every day are:y = (1/3)x + 35 and y = (-1/3)x + 40

Let's assume that Jack jogs for x minutes. According to the question, he rides his bike for 15 minutes more than he jogs.Therefore, the number of minutes he rides his bike is (x + 15).He spends a total of 75 minutes every day exercising.

So, x + (x + 15) = 75

Now, we'll solve this equation for x:2x + 15 = 75 or 2x = 75 - 15, 2x = 60 or x = 30

So Jack jogs for 30 minutes.

Therefore, he rides his bike for x + 15 = 30 + 15 = 45 minutes.

To write a pair of linear equations that shows the relationship between the number of minutes Jack jogs (x) and the number of minutes he rides his bike (y) every day, we can use the slope-intercept form:

y = mx + b

Here, m is the slope and b is the y-intercept. For the first equation, the slope is the ratio of the rise (y) to the run (x).

Since Jack jogs for 30 minutes and rides his bike for 45 minutes, the slope is:

y/x = (45-30)/45 = 15/45 = 1/3

Hence, the first equation is:y = (1/3)x + b

We can use either of the two points (30,45) or (45,30) on the line to find the value of b.

Let's use the point (30,45).

y = (1/3)x + b45 = (1/3)(30) + b45 = 10 + bb = 35

So, the first equation is:y = (1/3)x + 35Similarly, we can find the second equation:

y = (-1/3)x + 40

To verify, substitute x = 30 in both equations:

y = (1/3)(30) + 35 = 45

y = (-1/3)(30) + 40 = 30

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Answer:

4 + b² = 104

Hope this helps. :)

Answer:

b^{2}  + 4 = 104.

Step-by-step explanation:

The sum of 4 and the second power of b basically means 4 + b^2.

b^2 + 4 = 104

\(b^{2} + 4 = 104\)

b^2 = 100

b = plus or minus 10.

Hope this helps!

The correct option is C

The distribution is Approximately Normal

The sample size is 150, this is large.

The standard deviation is finite .

We say that the distribution is Approximately Normal

Solution:

We are required to determine which is a geometric sequence.

Firstly, let us look at what a Geometric sequence is .

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

In summary, a Geometric sequence has a common ratio.

Let us take a look at the options one after the other

A. -5,0,10,25,45

B. 1,2,4,8,16

C.-3,1,5,9

D. 4,8,24,96,480

Thus, the answer is B. 1,2,4,8,16

Answer:

Step-by-step explanation:

ion kno

Answer:

Food is what fuels our bodies. Food is what keeps us alive, but when food is not kept fresh and safe, it can cause us to get sick or even die from food poisoning.

One of three different floors each day during a 4-day work week in 12 different ways, can be assigned to the nursing student.

To find the number of ways a nursing student can be assigned to one of three different floors each day during a 4-day work week, we need to use the multiplication principle of counting.

First, we need to determine the number of options the nursing student has for each day. Since she can be assigned to one of three different floors, she has 3 options each day.

To find the total number of ways she can be assigned over the 4-day work week, we multiply the number of options she has for each day by the number of days in the week:

3 options per day x 4 days = 12 total ways

Therefore, the nursing student can be assigned to one of three different floors each day during a 4-day work week in 12 different ways.

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Answer:

43 ffhfhfhfhfhfhchchchchchc

Answer:

It will take 225 days for Evie's chicken to lay 45 eggs

Step-by-step explanation:

The traces of f(x,y) in this case are given by fixing one of the variables and letting the other vary.

When y=0, f(x,y)=0 for all values of x. When x=0, f(x,y)=undefined for all values of y, since the denominator 3x³-6 cannot be zero. When y=1, f(x,y)=-3x/3x³+6, which simplifies to -1/(x²+2). This means that as x approaches positive or negative infinity, f(x,1) approaches zero, and as x approaches zero, f(x,1) approaches negative infinity. Based on these traces, the graph that corresponds to the function f(x,y) is the graph labeled B. This is because the traces indicate that the function has a horizontal asymptote at y=0, and vertical asymptotes at x=+-√(2). The graph in option B exhibits all of these properties, with a horizontal line at y=0 and two vertical lines at x=+-√(2). The other graphs do not exhibit the correct asymptotic behavior for the given traces.

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Find the minimum proportion of observations in the population that are in the range 8,800 to 9,200 is 0.75,.

Note that based on the metrics given:

µ = 8,000

σ = 100.

Hence, according to the Chebyshev’s Theorem,

1. At least 3/4 (75%) of the data fall within two standard deviations of the mean, i.e. in the interval with endpoints 2 for populations.

2. At least 8/9 (88.9%) of the data fall within three standard deviations of the mean, i.e. in the interval with endpoints 3 for populations.

3. at least 1/k2 of the data are within k standard deviations of the mean, i.e. in the interval with endpoints k for populations, where k is any positive whole integer higher than 1.

Hence because the shape of the distribution is not known, using Chebyshev's theorem,

μ-2σ = 8000-2*100 = 7800

μ+2σ = 9000+2*100 = 9200

Hence 75% value will lie between 7,800 and 9,200

A population in statistics is the group of people from which a statistical sample is taken for a research. As a result, any collection of people who share a characteristic might be called a population.

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The function f (x) is discontinuous at x = 2 because there is a vertical asymptote there. Therefore, the y-values of f as x approaches 2 from the right will approach negative infinity.

) The value of f (-10), f (-100), f (-1000000) are f (-10) = 0.1818181818,f (-100) = 0.1818181818, and f (-1000000) = 0.1818181818.b) The values of f (2.01), f (2.0001), and f (2.000001) are f (2.01) = -197.5099502, f (2.0001) = -19999.5000333, and f (2.000001) = -1999999.50000017.    c) As x approaches negative infinity, the denominator of the expression approaches negative infinity and the numerator approaches negative infinity. The fraction is approaching zero from the negative direction, which is a horizontal asymptote.    d) As x approaches 2 from the right side, the denominator approaches zero, and the numerator approaches -4. The fraction is approaching negative infinity from the right direction, so there is a vertical asymptote at x = 2. The function f (x) is discontinuous at x = 2 because there is a vertical asymptote there. Therefore, the y-values of f as x approaches 2 from the right will approach negative infinity.Answer:The values of f (-10), f (-100), and f (-1000000) are f (-10) = 0.1818181818, f (-100) = 0.1818181818, and f (-1000000) = 0.1818181818.The values of f (2.01), f (2.0001), and f (2.000001) are f (2.01) = -197.5099502, f (2.0001) = -19999.5000333, and f (2.000001) = -1999999.50000017.As x approaches negative infinity, the denominator of the expression approaches negative infinity and the numerator approaches negative infinity. The fraction is approaching zero from the negative direction, which is a horizontal asymptote.As x approaches 2 from the right side, the denominator approaches zero, and the numerator approaches -4. The fraction is approaching negative infinity from the right direction, so there is a vertical asymptote at x = 2. The function f (x) is discontinuous at x = 2 because there is a vertical asymptote there. Therefore, the y-values of f as x approaches 2 from the right will approach negative infinity.

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The number of students in each bus is 21

Given data

Total number of students on the trip = 172

25 students traveled in cars

7 buses were filled

let the number students on each bus be x

number of students on the bus is gotten by

172 - 25 = 147

so 147 students travelled by bus and the total number of buses is 7.

to get the number of students in each bus we solve as follows

147 / 7 = 21

Hence each bus contains 21 students.

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Answer:

y = x + 5

Step-by-step explanation:

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

m = (16 - 5)/(9 - 0) = 9/9 = 1

Using m = 1, y = 5, x = 0

then y = mx + b

5 = 1(0) + b

b = 5

so y = x + 5

Answer:

#1. The zeros of the function g(x) are −3/2, 1, and 3 (all with multiplicity 1).

#2. The zeros of the function h(x) are −1 and −2 (both with multiplicity 2).

Answer:

Yes, this is similar to \(\frac{a}{6} - \frac{1}{6}\)

Answer:

yes

Step-by-step explanation:

Given

\(\frac{a-1}{6}\)

Then each term on the numerator is divided by 6, that is

= \(\frac{a}{6}\) - \(\frac{1}{6}\)

The property that was used to get each step include the following:

Statement                                                      Reason

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)                Given

4.5(8 - x) = 66 - 2.5(3x + 24)                  Distributive property

36 - 4.5x = 66 - 7.5x - 60                       Associative property

36 - 4.5x = -7.5x + 6                             Subtraction property of equality.

36 + 3x = 6                                           Additive property of equality.

3x = -30                                                Subtraction property of equality.

x = -10                                                    Division property of equality

The subtraction property of equality states that the two (2) sides of an algebraic expression or equation would still remain equal even when the same number has been subtracted from both sides of an equality.

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Complete Question:

Justify each step of the solution by starting the property that was used to get each step.

Statement                                                      Reason

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)                Given

4.5(8 - x) = 66 - 2.5(3x + 24)                  

36 - 4.5x = 66 - 7.5x - 60                      

36 - 4.5x = -7.5x + 6                            

36 + 3x = 6                                          

3x = -30                                                

x = -10

The maximum attendance for the movie can be determined by comparing the attendance figures for each week and identifying the highest value.

Based on the given statistics:

Week 2: 2 million tickets sold

Week 4: 5 million tickets sold

Week 6: 7 million tickets sold

By comparing the attendance figures, we can see that the maximum attendance for the movie is 7 million tickets sold. Therefore, the movie had its highest attendance in Week 6.

In summary, the maximum attendance for the movie is 7 million tickets sold, which occurred in Week 6. This suggests that the movie experienced its peak popularity and attracted the largest audience during that specific week.

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