Players in any sport who are having great​ seasons, turning in performances that are much better than anyone might have​anticipated, often are pictured on the cover of Sports Illustrated.​ Frequently, their performances then falter​somewhat, leading some athletes to believe in a​ "Sports Illustrated​ jinx." Similarly, it is common for phenomenal rookies to have less stellar second​ seasons, the​ so-called "sophomore​ slump." While​ fans, athletes, and analysts have proposed many theories about what leads to such​ declines, a statistician might offer a simpler​(statistical) explanation. Explain.

What would be a better explanation for the decrease in performance of the Sports Illustrated cover​ athlete?

A. People on the cover are usually there for outstanding performances. Because they are so far from the​ mean, the performance in the next year is likely to be closer to the mean.
B. The slope of the linear​ regression, predicting performance from years in the​ sport, must be negative because an​ athlete's performance always decreases over time. No matter how well an athlete performed one​ year, they must perform worse the next year.
C. People on the cover are usually considered the best of the​year, so naturally they reached the maximum level of athletic performance that year and it is impossible to improve upon that.
D. Once an athlete has made the cover of Sports​ Illustrated, they have reached their ultimate goal as an athlete and lack motivation to try the following year.

Answer:

[tex]\displaystyle f(x) = [\frac{3}{4}]^x + 5[/tex]

Explanation:

All you have to do is plug in some intervals into the function based off of the graph, to make sure your function is authentic.

* Anytime that [tex]\displaystyle a < 1,[/tex]the graph will be falling from the left.

I am joyous to assist you anytime.

Answer:

4th one

Step-by-step explanation:

a^-2 goes down and become a^2 and

[tex] {a}^{2} \times {a}^{2} = {a}^{4} [/tex]

b^-1 goes up and become b

[tex] {b}^{2} \times {b}^{1} = {b}^{3} [/tex]

that why answer is 4th...mark me brainliest please

Answer:

There are 23 5-point questions and 17 1-point questions.

Step-by-step explanation:

there are M 5 point questions

And N 1 point questions

M + N = 40

A 40 question test has 132 possible points

5M + N = 132

We have a system of equations.

M + N = 40

5M + N = 132

Multiply both sides of the first equation by -1. Write the second equation below it. Add the equations.

        -M -  N = -40

+      5M + N = 132

----------------------------

       4M            = 92

M = 23

Now substitute 23 for M in the first equation and solve for N.

M + N = 40

23 + N = 40

N = 17

There are 23 5-point questions and 17 1-point questions.

Answer:the number of 5 point questions is 23

the number of 1 point questions is 17

Step-by-step explanation:

Let M represent the number of 5 point questions.

Let N represent the number of 1 point questions.

The total number of questions in the test is 40. It means that

M + N = 40 - - - - - - - - - - - - 1

The possible total points in the test is 132 and it contains M 5 point questions and N 1 point questions. This means that

5M + N = 132 - - - - - - - - - - -2

Subtracting equation 2 from equation 1, it becomes

- 4M = - 92

M = - 92/-4 = 23

Substituting M = 23 into equation 1, it becomes

23 + N = 40

N = 40 - 23 = 17

Part A

This is an arithmetic sequence with starting term a(1) = 17 and common difference d = -7.

a(n) = a(1) + d(n-1)

a(n) = 17 + (-7)(n-1)

a(n) = 17-7(n-1)

a(n) = 17-7n+7

========================================================

Part B

We have a geometric sequence here because we multiply by the same quantity (5) each time. This makes the common ratio be r = 5.

The starting term is t1 = 3

The nth term of this geometric sequence can be expressed as...

t(n) = t1*(r)^(n-1)

Answer:

The option [tex]\frac{(x+5)(x+2)}{x^3-9x}[/tex] is correct

The difference of the given expression is

[tex]\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})=\frac{(x+5)(x+2)}{x^3-9x}[/tex]

Step-by-step explanation:

Given expression is [tex]\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})[/tex]

To find the difference of the given expression as below :

[tex]\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})[/tex]

[tex]=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x^2-9)})-({\frac{x+1}{x^2-9})[/tex]

[tex]=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x^2-3^2)})-({\frac{x+1}{x^2-3^2})[/tex]

[tex]=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x-3)(x+3)})-({\frac{x+1}{(x-3)(x+3)})[/tex]  

( using the formula [tex]a^2-b^2=(a+b)(a-b)[/tex] )

[tex]=\frac{2x+5(x+3)-(3x+5)-x(x+1)}{x(x-3)(x+3)}[/tex]

[tex]=\frac{2x^2+6x+5x+15-3x-5-x^2-x}{x(x-3)(x+3)}[/tex] (adding the like terms)

[tex]=\frac{x^2+7x+10}{x(x^2-9)}[/tex] ( by factoring the quadratic polynomial )

[tex]=\frac{(x+5)(x+2)}{x^3-9x}[/tex]

Therefore [tex]\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})=\frac{(x+5)(x+2)}{x^3-9x}[/tex]

Therefore the difference of the given expression is

[tex]\frac{(x+5)(x+2)}{x^3-9x}[/tex]

Therefore option [tex]\frac{(x+5)(x+2)}{x^3-9x}[/tex] is correct

Answer:

A

Step-by-step explanation:

65,536 cells of bacterium

Answer: 135

Step-by-step explanation:

Answer:

Use Law of Cosines, which is ß² = α² + c² - 2αccos(B) where <B is opp. to side ß.

Let α = 2, c = 6 and cos(B) = 1/6, so

ß = √(2² + 6² - 2(2)(6)(1/6))

= √(4 + 36 - 4)

= √36 = 6

Answer:

The answer is 48 people.

Step-by-step explanation:

We can write the equation like following:

[tex]n=(3n/4)+12\\4n=3n+48\\n=48[/tex]

The cable car can carry 48 people at most.

Answer:

x = 1.64 in   the size of the side of the square

Step-by-step explanation:

Let call x side of the square to be cut from cornes, then:

First side of rectangular base

L = 14 - 2*x

And the other side

d = 8 -2*x

Then Volume of the box

V(b) = L*d*x

V(x) =  ( 14- 2*x ) * ( 8 -2*x)*x

V(x) = ( 112 -  28*x  -16*x + 4*x² )*x    ⇒  4*x³ - 44*x² + 112*x

Taking derivatives on both sides of the equation we get:

V´(x) = 12*x² - 88*x +112

V´(x) = 0       ⇒     12*x² - 88*x +112 = 0

A second degree equation, solvin it

3x² - 22*x +  28 = 0

x₁,₂ = [ 22 ± √484 - 336   ] / 6

x₁   =  (22 + 12,17) /6         x₂  =  ( 22 - 12.17 ) / 6

x₁   =  5.69     We dismiss this solution since it make side 8 - 2x  a negative length

 x₂  =  9.83/6      

x₂  =  1.64

Then x = x₂  = 1.64 in

Answer:

1.64 in

Step-by-step explanation:

The answer is True.

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are congruent

Answer:

The answer to your question is vo = 19.62 m/s

Step-by-step explanation:

Data

angle = α = 30°

time = t = 2 s

vo = ?

g = 9.81 m/s²

Formula

                  [tex]t = \frac{2vosin\alpha}{g}[/tex]

Solve for vo

             [tex]vo = \frac{tg}{2sin\alpha}[/tex]

Substitution

            [tex]vo = \frac{(2)((9.81)}{2sin 30}[/tex]

Simplification

           [tex]vo = \frac{19.62}{2(0.5)}[/tex]

           [tex]vo = \frac{19.62}{1}[/tex]

Result

            vo = 19.62 m/s

Answer: she can make 32 stops

Step-by-step explanation:

Let x represent the number of stops that she can make.

Jean has a ride metro card. It costs $2.50 to get on the tram plus $0.75 for each stop.

If Jeans metro card allows her 8 rides and costs $44, it means that if she makes x stops, then

2.5 × 8 + 0.75 × x = 44

20 + 0.75x = 44

0.75x = 44 - 20 = 24

x = 24/075 = 32

Answer:

a. the line that passes through the most data points.

Step-by-step explanation:

Regression analysis, is used to draw the line of‘ best fit’ through co-ordinates on a graph. The techniques used enable a mathematical equation of the straight line form y=mx+c to be deduced for a given set of co-ordinate values, the line being such that the sum of the deviations of the co-ordinate values from the line is a minimum, i.e.

The least-squares regression lines  is the line of best fit

The insurance costs £602.02 now.

Step-by-step explanation:

Amount paid for car insurance = £635.71

Price reduce = 5.3%

Amount of reduce = 5.3% of amount paid

Amount of reduce = [tex]\frac{5.3}{100}*635.71[/tex]

Amount of reduce = [tex]0.053*635.71[/tex]

Amount of reduce =  £33.69263

Rounding off to two decimal place

Amount of reduce =  £33.69

Reduced price = Amount paid - Amount of reduce

Reduced price = 635.71 - 33.69 =  £602.02

The insurance costs £602.02 now.

Keywords: subtraction, division

Learn more about subtraction at:

#LearnwithBrainly

Original price × (1 - reduction percentage) = Reduced price. £635.71 × (1 - 0.053) ≈ £602.97 (rounded to 2 DP).

let's break it down step by step:

1. Calculate the reduction amount:

  Multiply the original price (£635.71) by the reduction percentage (5.3% or 0.053).

  Reduction Amount = £635.71 * 0.053

2. Subtract the reduction amount from the original price:

  Subtract the reduction amount from the original price to find the reduced price.

  Reduced Price = £635.71 - Reduction Amount

Now, let's plug in the values:

1. Calculate the reduction amount:

  Reduction Amount = £635.71 * 0.053

                   ≈ £33.73763

2. Subtract the reduction amount from the original price:

  Reduced Price = £635.71 - £33.73763

                ≈ £602.97237

Rounded to two decimal places:

Reduced Price ≈ £602.97

So, after the 5.3% reduction, Terry's car insurance costs approximately £602.97.

Answer:

chances chances of happening = 0.0119

Step-by-step explanation:

given data

bet =  $5

independent fair games = 50

solution

we will think game as the normal distribution

so here  mean is will be

mean = [tex]\frac{50}{2}[/tex]

mean = 25

and standard deviation will be

standard deviation = [tex]\sqrt{50*0.5*0.5}[/tex]

standard deviation = 3.536

so

we have to lose 33 out of 50 time for lose more than $75

so as chance of doing things z score is

z score = [tex]\frac{33-25}{3.536}[/tex]

z score  = 2.26

so from z table

chances chances of this happening = 0.0119

Answer:

The total money made by Grace is $477.

Step-by-step explanation:

Given:

Charge per hour for mowing lawn = $6

Charge per hour for pulling weeds = $11

Number of hours for which lawns are mowed = 63 hours

Number of hours for which weeds are pulled = 9 hours

Now, total money made by Grace in September can be calculated by adding the total money gained in mowing lawns and pulling weeds.

Total money gained in mowing lawns is given as:

[tex]C_m=\textrm{Number of hours of mowing}\times\textrm{Charge per hour}\\\\C_m=63\times 6=\$378[/tex]

Total money gained in pulling weeds is given as:

[tex]C_w=\textrm{Number of hours of pulling weeds}\times\textrm{Charge per hour}\\\\C_w=9\times 11=\$99[/tex]

Now, total money made = [tex]C_m+C_w=378+99=\$477[/tex]

Therefore, the total money made by Grace is $477.

Answer:

The initial temperature of the soda is 16°C

The temperature of the soda after 18 minutes is -12°C

Step-by-step explanation:

T(x) = -12+28e^-0.38x

When x = 0

T(0) = -12+28e^-0.38(0) = -12+28e^0 = -12+28(1) = -12+28 = 16°C

Initial temperature of the soda is 16°C

When x = 18

T(18) = -12+28e^-0.38(18) = -12+28e^-6.84 = -12+28(0.0011) = -12+0.0308 = -11.9692°C = -12°C (to the nearest degree)

The temperature of the soda after 18 minutes is -12°C

Answer:

destination contract

Step-by-step explanation:

Destination contract is invented to assure the goods to be shipped by the seller and to be delivered to the buyer to the location the buyer has selected. It can be a specific place of delivery or a business location.

Destination contract is meant as mean of assurance to avoid each side to take a risk.

Answer:

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

Step-by-step explanation:

Given:

Let

A(x₁ , y₁) = (1 , 4) and  

B( x₂ , y₂ ) = (-1 , 2)

To Find:

θ = ?

Solution:

Slope of a line when two points are given is given bt

[tex]Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Substituting the values we get

[tex]Slope(AB)=\dfrac{2-4}{-1-1}=\dfrac{-2}{-2}=1\\\\Slope=1[/tex]

Also Slope of line when angle ' θ  ' is given as

[tex]Slope=\tan \theta[/tex]

Substituting Slope = 1 we get

[tex]1=\tan \theta[/tex]

[tex]\tan \theta=1\\\theta=\tan^{-1}(1)[/tex]

We Know That for angle 45°,

tan 45 = 1

Therefore

[tex]\theta=45\°[/tex]

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

Answer:

  34 nickels

Step-by-step explanation:

First, consider the value if they were all dimes. That would be 61×$0.10 = $6.10. Next, realize this is more than the actual amount by 1.70. Of course, replacing one of the 61 dimes by a nickel reduces the total amount by $.05, so we must have ...

  $1.70/$0.05 = 34

nickels in the mix.

Abby has 34 nickels.

_____

Alternate solution methods

I like to solve these using number sense, as above. Equivalently, an equation can be written using n to represent the number of nickels. The total value is then ...

  .05n + .10(61 -n) = 4.40

  -.05n +6.10 = 4.40 . . . . . . eliminate parentheses

  -.05n = -1.70 . . . . . . . . . . . subtract 6.10

  n = -1.70/-.05 = 34

Hopefully, you notice some similarities between this solution and the one in words, above.

__

Often, you will see this sort of problem formulated using two equations.

  n + d = 61 . . . . . . . . . . number of coins (d=#of dimes)

  .05n +.10d = 4.40 . . . .value of coins

If we solve this by substitution, we can use d=61-n, and get ...

  .05n +.10(61-n) = 4.40 . . . . . . looks like our equation in the previous section

By creating two equations for the total value of coins and the total number of coins Abby has, we can solve for both the number of dimes and nickels she holds. After doing the required calculations, we find that Abby has 34 nickels.

The subject of this question is algebra and it involves solving a system of equations. This is a classic problem that can be solved using two equations because we have two unknowns: the number of dimes and the number of nickels.

So, Abby has 34 nickels.

https://brainly.com/question/31653301

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Answer: his speed when skateboarding is 6 mph and when walking is 3 mph

Step-by-step explanation:

Let x represent Marlon's walking speed.

Marlins speed on his skateboard is 2 times his walking speed. This means that his skating speed would be 2x.

At 1:30 Marlon left his house to go to the beach a distance of 6.75 mi. He rode his skateboard until 2:15. This means that the total time he spent skating is 45 minutes = 45/60 = 0.75 hours

Distance = speed × time

Distance covered while skating would be

2x × 0.75 = 1.5x

He walked the rest of the way. He arrived at the beach at 3:00. This means that the time that he spent walking is 45 minutes = 0.75 hours.

Distance covered while walking would be

x × 0.75 = 0.75x

Total distance covered is 6.75 miles. Therefore

1.5x + 0.75x = 6.75

2.25x = 6.75

x = 6.75/2.25

x = 3 miles per hour

His skating speed = 2 × 3 = 6 miles per hour.

The cost of 1 poinsettia is $ 15

Solution:

Let "x" be the cost of 1 poinsettias

Let "y" be the cost of 1 wreath

Trey sold 7 poinsettias and 3 wreaths and raised $201

Therefore, we frame a equation as:

7 poinsettias x cost of 1 poinsettias + 3 wreaths x cost of 1 wreath = 201

[tex]7 \times x + 3 \times y = 201[/tex]

7x + 3y = 201 ------- eqn 1

Molly sold 4 poinsettias and 6 wreaths and raised $252

4 poinsettias x cost of 1 poinsettias + 6 wreaths x cost of 1 wreath = 252

[tex]4 \times x + 6 \times y = 252[/tex]

4x + 6y = 252 ------- eqn 2

Multiply eqn 1 by 2

14x + 6y = 402 -------- eqn 3

Subtract eqn 2 from eqn 3

14x + 6y = 402

4x + 6y = 252

( - ) -----------------------

10x = 150

x = 15

Thus cost of 1 poinsettia is $ 15

The price of a poinsettia is $15.

To determine the price of a poinsettia, we need to set up and solve a system of linear equations based on the given information.

7P + 3W = 201

4P + 6W = 252

Therefore, the price of a poinsettia is $15.

Answer:

no it is 8 more so do it  one more time and you will get the answer 352? fine the number

Step-by-step explanation:

Answer:

1. Ernest has $82.5 and Gene has $117.5

2. c) 125x + 1500 = $20000

Step-by-step explanation:

If we mark Gene's half dollars with x, then it is given that Ernest has 8 more, which is x+8.

It is also given that Ernest has no quarters, but Gene has them as many as Ernest has half dollars, which is x+8.

And it is given that they both have 45 dimes each, which is $4.5 each.

Now, let's add up all these numbers:

Ernest: (x+8)•0.5 + 0•0.25 + 4.5 = 0.5x + 8.5

Gene: x•0.5 + (x+8)•0.25 + 4.5 = 0.75x + 6.5

They collected $200 together which means:

0.5x + 8.5 + 0.75x + 6.5 = $200

1.25x + 15 = $200

If we want to avoid decimal number, we can multiply whole equation with 100:

125x + 1500 = $20000

so, the correct answer is C.

Finally, to find x:

125x = 18500

x = 148

Ernest had 0.5x + 8.5 which is $82.5

Gene had 0.75x + 6.5 which is $117.5

Answer:

1800yearbook(D)

Step-by-step explanation:

Cost of printing a year book = $5

A year book is sold at $15

The profit on each year book = $15 - $5 = $10

Let y represent the number of year books sold for a break even to occur.

A break even occurs when the amount sold is equals the amount invested

10y = 18000

y = 18000/10

y = 1800 yearbooks

Answer: Tracking is the practice of putting students into specific curriculum groups based on their test scores and other factors.

Tracking is the practice of grouping students based on their abilities and test scores. It involves sorting students into different curriculum groups. Ability grouping and tracking are used to place students on specific educational tracks.

Tracking is the practice of putting students into specific curriculum groups based on their test scores and other factors. This process involves classifying students based on academic merit or potential and is a formalized sorting system that places students on 'tracks' that perpetuate inequalities. Ability grouping and tracking are strategies used to group students according to their perceived abilities for educational purposes.

Answer:

100 students play only basketball.            

Step-by-step explanation:

We are given the following information in the question:

Total number of students in school = 240

Number of students that play soccer =

[tex]\dfrac{1}{3}\times \text{Total number of students}\\\\=\dfrac{1}{3}\times 240 = 80[/tex]

n(S) =80

[tex]n(S\cap B) = 44[/tex]

[tex]n(S'\cap B') = 60[/tex]

Formula:

[tex]n(S\cup B) = \text{Total} - n(S' \cap B')\\n(S\cup B) = n(S) + n(B) - n(S\cap B)[/tex]

Putting the values, we get,

[tex]n(S\cup B) =240-60=180\\n(S\cup B) = 180 = 80 - 44 + n(B)\\n(B) = 180 - 80 + 44= 144[/tex]

Thus, 144 students play  basketball.

Out of these 144, 44 plays soccer as well.

[tex]\text{Student only playing basketball} = 144 -44 = 100[/tex]

Thus, 100 students play only basketball and not soccer.

Answer:

5.98 s

Step-by-step explanation:

576 ft = 576 / 3.28 = 175.56 m

Let g = 9.81 m/s2. The time it takes for the ball to fall from 165.56 m high to the ground is

[tex]s = gt^2/2[/tex]

[tex]t^2 = 2s/g = 2*175.56/9.81 = 35.8[/tex]

[tex]t = \sqrt{35.8} = 5.98 s[/tex]

Answer:Speed of airplane= 43.18mi/he

Direction of the airplane relative to the ground=4.64°. Counter-clockwise rotation from west.

Step-by-step explanation: welovity/speed is represented as magnitudes of vectors.

Let A= the vector of the airplane

Let W= the vector of the wind

From the diagram,total vector F= A + w

F= 320+ 40cos45°I +0j) + (0i + 40sin46°)

F=320+28.28i+28.28j

To calculate the magnitude

/F/=root of A2 +w2

/F/=root320+40cos45°2+40sin45°2

/F/=root 1919.5168

/F/=43.18= speed

To calculate the direction of the airplane relative to the ground, use tan function because it is a right triangle as seen in the diagram

Tan x= opp/adj=40sin45/320+40cos45

Tanx=28.28/348.28

Tanx=0.091199

×=tan-1 0.091199

×=4.64

Answer:

  y = 2sin((π/7)x)

Step-by-step explanation:

The graph goes through (0, 0) and has a range of ±2. This matches a sine function with an amplitude (A) of 2 and a vertical offset (C) of zero.

The half-period is 7, so the value of k is such that 7k = π, or k = π/7.

The desired function is y = 2·sin((π/7)x).