A basketball player makes 65% of all free throws in her first 5 seasons. In her 6th season she makes 105 out of 150 free throws. How does the observed frequency of her 6th season compare to the expected frequency? Provide a possible explanation for any similarities or differences in the frequencies. 7.50.3.7
(35 points i think)

Answers

Answer 1

If a basketball player makes 65% of all free throws in her first 5 seasons. The observed proportion is higher than the expected proportion, indicating that the player performed better than expected in her 6th season.

What is the observed frequency of her 6th season?

The expected frequency of successful free throws in the 6th season can be calculated based on the player's overall success rate in the first 5 seasons. Since the player made 65% of all free throws in her first 5 seasons, we can expect her to make 65 out of 100 free throws in any given season. Therefore, the expected frequency of successful free throws in the 6th season would be:

Expected frequency = (65/100) * 150 = 97.5

The observed frequency of successful free throws in the 6th season is 105.

To compare the observed and expected frequencies, we can calculate the standardized residual (z-score) as follows:

z-score = (observed frequency - expected frequency) / sqrt(expected frequency * (1 - expected frequency / total sample size))

total sample size = 150

expected frequency = 97.5

observed frequency = 105

z-score = (105 - 97.5) / sqrt(97.5 * (1 - 97.5/150)) = 1.28

The z-score of 1.28 suggests that the observed frequency is 1.28 standard deviations above the expected frequency. This indicates that the player's success rate in the 6th season is higher than what would be expected based on her overall success rate in the first 5 seasons.

Possible explanations for the difference in frequencies could be due to factors such as improvements in the player's technique, changes in the player's physical or mental state, or random variation. It is also possible that the sample size of 150 free throws in the 6th season is not large enough to draw definitive conclusions about the player's success rate in that season.

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Related Questions

Determine whether the relationship is a function. Complete the explanation.


(0, 4), (8, 8), (3, 2), (9, 1), (8, 7)

Answers

Answer:

the relationship is not a function

Step-by-step explanation:

it's not a function because two of the domains are the same.

The relationship represented by these ordered pairs is not a function.

We have,

To determine whether the relationship is a function, we need to check if each input (x-value) is associated with exactly one output (y-value).

If there is any x-value that is associated with multiple y-values, then the relationship is not a function.

Let's analyze the given set of ordered pairs:

(0, 4), (8, 8), (3, 2), (9, 1), (8, 7)

Here, we can see that the x-value 8 is associated with both y-values 8 and 7.

Therefore, the relationship is not a function because one input (x-value) is mapped to multiple outputs (y-values).

In a function, each input must have a unique output, but in this case, the x-value 8 is associated with both 8 and 7 as the corresponding y-values.

Thus,

The relationship represented by these ordered pairs is not a function.

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Alfie is cooking a 0.6kg jaunt of steak for dinner. calculate the total time he needs to cook for it ​

Answers

Answer: This is a tough question

Depends on if you wanna cook it medium rare, rare, medium well, well done, or do you just wanna eat it raw :D

Step-by-step explanation:

Bags of pretzels are sampled to ensure proper weight. The overall average for the samples is 9 ounces. Each sample contains 25 bags. The standard deviation is estimated to be 3 ounces. The upper control chart limit (for 99.7% confidence) for the average would be ________ ounces.

Answers

Answer:

The value is [tex]UCL = 10.8[/tex]  

Step-by-step explanation:

From the question we are told that

    The sample mean is  [tex]\= x = 9 \ ounce[/tex]

    The sample size is  n =  25

    The standard deviation is  [tex]\sigma = 3 \ ounce[/tex]

Given that the sample size is not large enough i.e  n<  30  we will make use of the student t distribution table  

From the question we are told the confidence level is  99.7% , hence the level of significance is    

      [tex]\alpha = (100 -99.7 ) \%[/tex]

=>   [tex]\alpha = 0.003[/tex]

Generally the degree of freedom is  [tex]df = n- 1[/tex]

=>  [tex]df = 25 - 1[/tex]

=>  [tex]df = 24[/tex]  

Generally from the student t distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 24[/tex]   is  

   [tex]t_{\frac{\alpha }{2} , 24 } = 3.0 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = t_{\frac{\alpha }{2} , 24} *  \frac{\sigma }{\sqrt{n} }[/tex]

=>     [tex]E = 3.0 *  \frac{3 }{\sqrt{25} }[/tex]

=>     [tex]E =1.8 [/tex]

Gnerally the  upper control chart limit  for 99.7% confidence is mathematically represented as

         [tex]UCL = \= x + E[/tex]

=>      [tex]UCL = 9 + 1.8[/tex]  

=>      [tex]UCL = 10.8[/tex]  

     

A hiker starts hiking at the beginning of a trail at a point which is 20 feet below sea level. He hikes to a location on the trail that is 58 feet above sea level
and stops for lunch

What is the vertical distance between 200 feet below sea level and 580 feet above sea level?

Answers

Answer:

780 feet below sea level

Step-by-step explanation:

A rhombus is not a
a. polygon. c. trapezoid.
b. parallelogram. d. quadrilateral.

Answers

Answer:

polygon

Step-by-step explanation:

A polygon is any 2-dimensional shape formed with straight lines. Triangles, quadrilaterals, pentagons, and hexagons are all examples of polygons. A rhombus has 4 sides.

Hope this helps:) Have a great day!

And this is Ari, signing off

Answers

Answer:

Byeee again haha

Step-by-step explanation:

Yea I'm answering this question again

A specific moderator deleted a lot of my answers almost all at once and for the reason that I didn't answer the question the people were asking, it's pretty weird as all the questions were either free points or very extremely straightforward questions like "what dynasty started the great wall" and usually when a moderator sees those they delete them but they just deleted my answer for almost no reason haha

Well if u see this then have a great day!

Answer:

ok :)

Step-by-step explanation:

What is 63 divided by 36?

Answers

Answer:

1.75

Step-by-step explanation:

used a calculator

Answer:

63÷36=1.75

Step-by-step explanation:

itz easy

mark me as a brainlist

Is this graph continuous or discontinuous?

Answers

Discontinuous if I’m not mistaken

Which graph has x-intercept (-5,0) and y-intercept (0,-2)?​

Answers

The top one is x-intercept, and the bottem one is y-intercept. Also the gray boxes are your answer

The graph of the x-intercept at x = -5 and y-intercept at y = -2 is given below.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

x-intercept = (-5, 0)

This means,

It is a vertical line at x = -5.

y-intercept = (0, -2)

This means,

It is a horizontal line at y = -2.

Thus,

The graph is given below.

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A net of a storage trunk is shown. Which is the trunk's surface area?

Answers

3,680 sq. in.

(36*20)*4= 2880
(20*20)*2= 800

What is the reciprocal of 1/5?
5/1
4
1/5

Answers

the reciprocal of 1/5 is 0.2
it’s 5/1 ..........!,!.,

Thee questionn is beloww

Answers

Given:

[tex]m\angle ABC=60[/tex]

To find:

The [tex]m\angle ADC[/tex].

Solution:

In circle B, [tex]\angle ABC[/tex] is central angle and [tex]\angle ADC[/tex] is inscribed angle from two points A and C.

According to central angle theorem, central angle is always twice of inscribed angle.

[tex]m\angle ABC=2(m\angle ADC)[/tex]         [Central angle theorem]

[tex]60=2(m\angle ADC)[/tex]

Divide both sides by 2.

[tex]\dfrac{60}{2}=m\angle ADC[/tex]

[tex]30=m\angle ADC[/tex]

Therefore, [tex]m\angle ADC=30[/tex].

The graph represents the height y, in feet, above the ground of a water balloon x seconds after it is dropped from a window.



Which statement is true?

Select each correct answer.




The maximum height of the water balloon occurs at x = 0.

The water balloon is in the air for 2 s.

The water balloon hits the ground in 64 s.

The water balloon rises above 64 ft before falling toward the ground.

The maximum height of the water balloon is 64 ft.

Answers

Answer:

O The maximum height of the water balloon occurs at x = 0.  

O The water balloon is in the air for 2 s.  

O The maximum height of the water balloon is 64 ft.

Step-by-step explanation:

Firstly, by simply looking at the x axis on the graph (time), you will see that it starts at 0 and the 64 ft maximum height is aligned with the starting point of 0 seconds.

The graph also shows (x axis) the 'time' represented, and as the height rapidly decreases the graph eventually reaches the 2 second mark, going no further and no lower.

Finally, the graph shows (y axis) the peak of the water balloon's height is 64 ft, as it is the highest number reached while the water balloon was airborne.

The correct options are (A) The maximum height of the water balloon occurs at x = 0, (B) The water balloon is in the air for 2 s, and (5) The maximum height of the water balloon is 64 ft are correct.

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have:

The graph represents the height y, in feet, above the ground of a water balloon x seconds after it is dropped from a window.

The water balloon follows a path such that it makes half parabola.

From the graph:

At x = 0

Height(h) = 64 feet

Which is the maximum height of the water balloon.

After t = 2 seconds

The water balloon hits the ground

The correct options are:

The maximum height of the water balloon occurs at x = 0.  The water balloon is in the air for 2 s.  The maximum height of the water balloon is 64 ft.

Thus, the correct options are (A) The maximum height of the water balloon occurs at x = 0, (B) The water balloon is in the air for 2 s, and (5) The maximum height of the water balloon is 64 ft are correct.

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Which choices are solutions to the following equation?
Check all that apply.
X2-7x = -24/4
A. X=1
B. X=2
C. X=12
D. X=6

Answers

The answer is d sorry if I’m wrong

pls help!!!!!!!!!!!!!!

Answers

Answer:

C) √221 units

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra II

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-7, 7)

Point (7, 2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute [DF]:                    [tex]d = \sqrt{(7+7)^2+(2-7)^2}[/tex]Add/Subtract:                       [tex]d = \sqrt{(14)^2+(-5)^2}[/tex]Exponents:                           [tex]d = \sqrt{196+25}[/tex]Add:                                      [tex]d = \sqrt{221}[/tex]
221 units is the correct answer

Carrie has 18 pens. Carrie has 2 more than 4
times the number of pens that Patricia has.
Exactly how many pens does Patricia have?

Answers

Answer: ( sorry I misread the problem)

I'm not sure what I'm supposed to be multiplying with

but I'll try my best

subtract 2 with 18 and divide 4 with the remaining

18 -2 = 16

then it  is 16/4= 4

Pat has a total of 4pens

Which table represents a function with a slope of 1/2 and a y-intercept of 4

Answers

Answer:D

Step-by-step explanation: trust me ima sophomore use this for help y=1/2x+4 then x value change it to the number in the x section then if the y appears just like in the box the y section it’s correct

Write your answer with no spaces and any fraction with “/“

Answers

Answer:

y=[tex]\frac{1}{2}x-2[/tex]

Step-by-step explanation:

Because of the slope, we would assume that it is 1/2 because when you use rise over run, the graph rises 1 unit up and shifts 2 units to the right.  The -2 is where the y-intercept is (0, -2) based on the picture seen above.  The slope is also positive where it is going up instead of going down.

Find the recipricol of -b/3

Answers

Answer:

-0.333333333

Step-by-step explanation:

Which of the following is an example of the distributive property?
1. 3(10 + 5) = 3(15)
2. 3(10 + 5) = (10 + 5)3
3. 3(10 + 5) = 30 + 15
4. 3(10 + 5) = 3(5 + 10)​

Answers

Answer:

3 - 30+15

Step-by-step explanation:

take the outside number and multiply it by each individual number in the parenthesis one at a time

Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time
he swims. This week, he spent more than 6 hours training for the race. Which graph represents his possible training
times this week

Answers

Step-by-step explanation:

Given that,

Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time  he swims. This week, he spent more than 6 hours training for the race.

Let x represent no. of times Dominick runs per week and y represents no. of times that Dominick swims per week.

ATQ,

0.75x + 1.5y > 6

The graph represent the scanario for the given data.

Answer:

picture A

Step-by-step explanation:

I know because I just took a quiz and i got it right

Which expression would the model be most helpful in solving?

An area model has 5 shaded parts and 1 unshaded part.

Answers

This question is awfully vague without any images of the equation to back it up, sorry

Which equation has a slope of 2 and y-intercept of -3

Answers

y = 2x -3

fhfjdydtsfxbnpurwsgh

one and two-thirds divided by 3

Answers

Answer:

5/9

Step-by-step explanation:

3/4 + 1/12 helppppppppppppppp

Answers

Answer:

The answer is 5/6.

Step-by-step explanation:

pls help asap i will give brainliest 16 POINTS!!!!

Answers

Its d because u would multiply and switch it around

What is the value of the expression expression 9 – m. If m = –3, n = 8, and p = –1?

Answers

Answer:

Step-by-step explanation:

i do believe you didn't write the whole problem

if m=-3

9-m=9-(-3)=9+3=12

Calculate had a net income of 5 million dollars in 2010, while a small competing company, Computate, had a
net income of 2 millions dollars. The management of Calculate develops a business plan for future growth
that projects an increase in net income of 0.5 million per year, while the management of Computate
develops a plan aimed at increasing its net income kshy15% each year.
a. Create standard mathematical model (table, graph, or equations) for the projected net income for the
next 10 years for both companies. Make sure that each model is accurate and labeled properly so that it
represents the situation
b. If both companies were able to meet their net income growth goals, which company would you choose
to invest in? Why?
c. When, if ever, would your projections suggest that the two companies have the same net income? How
did you find this? Will they ever have the same net income again?

Answers

9514 1404 393

Answer:

  a) see the attached spreadsheet (table)

  b) Calculate, for a 10-year horizon; Computate for a longer horizon.

  c) Year 13; no

Step-by-step explanation:

a) The attached table shows net income projections for the two companies. Calculate's increases by 0.5 million each year; Computate's increases by 15% each year. The result is rounded to the nearest dollar.

__

b) After year 4, Computate's net income is increasing by more than 0.5 million per year, so its growth is faster and getting faster yet. However, in the first 10 years, Calculate's net income remains higher than that of Computate. If we presume that some percentage of net income is returned to investors, then Calculate may provide a better return on investment.

The scenario given here is only interested in the first 10 years. However, beyond that time frame (see part C), we find that Computate's income growth far exceeds that of Calculate.

__

c) Extending the table through year 13, we see that Computate's net income exceeds Calculate's in that year. It continues to remain higher as long as the model remains valid.

Which statement regarding triangle EFG are true? Select three options

Answers

Answer:

It is the first three options. A,B,C or 1,2,3

Step-by-step explanation:

A local hamburger shop sold combined total 500 hamburgers and cheeseburgers the number of cheeseburgers old was three times the number of hamburger sold how many hamburgers were sold?

Answers

Answer:

125 hamburgers

Step-by-step explanation:

Let x be the number of hamburgers sold and 3x the number of cheeseburgers sold.

So:

x+3x=500

4x=500

x=125

So there are 125 hamburgers sold.

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