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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.

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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Answer:

The domain is the set of all the values of x, so it would be -3, -5, -6, -9, 0. The range would be every set of y, so it would be 7, -8, -1, -3. Finally, this relation is indeed a function.

Domain: -3, -5, -6, -9, 0

Range: 7, -8, -1, -3

Is it a function? Yes

Answer:

∴ x= 17

Step-by-step explanation:

the total of angel in 90°

∴ 2x+3+3x+2 =90

∴ 5x +5 =90

  5x=90-5

  5x = 85  (divide both side by 5)

∴ x= 17

Answer:17

Step-by-step explanation:

big brain knowledge

Answer:

Step-by-step explanation:

35

Answer:

this is the answer

Step-by-step explanation:

1125=11×425×4=44100=0.44

Answer:

237.5 calories

Step-by-step explanation:

One serving has 95

so 2.5 serving has

2.5×95= 237.5

Plz mark brainliest

thanks

Answer:

7

Step-by-step explanation:

So its three girls and each of them get the same amount. All you really have to do is divide 21 by 3 which is 7.

They each get to spend $7.

Answer:

9.72 x 10^2

Step-by-step explanation:

Answer:

is this a question......

Answer:

19min

Step-by-step explanation:

Answer:

are 10 hours

Step-by-step explanation:

The reason its 10 hours is because on the lower right of the document it says 10.

stupid thin wont load

Answer:

[tex]7^2+6[/tex]

7 to the 2nd power is 49

49+6

55

Answer:

92 canım

Step-by-step explanation:

Anlamadıysan geri sorarsın ve yorumumu beğenirsin tmm mi what iş kaçıncı sınıf taşan bana söyle

Answer:pop

Step-by-step explanation:

Answer:

14:28

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

Answer:

8 gallons equals 64 pints since there are 8 pints in a gallon

Step-by-step explanation:

take care

Answer:

the answer is 36+14/25=36.56

Answer:

[tex]y=-\frac{22}{7}[/tex]

Step-by-step explanation:

Answer:

first four terms are 2, 7, 12, 17

Step-by-step explanation:

use this formula:  [tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)· d

where 'n' equals the position in the sequence the term is in and 'd' is the common difference

if [tex]a_{1}[/tex] = 2 and d = 5 are given, plug those into formula

[tex]a_{1}[/tex] = 2

[tex]a_{2}[/tex] = 2 + (2 - 1)·5 = 2+5 = 7

[tex]a_{3}[/tex] = 2 + (3 - 1)·5 = 2+2(5) = 12

[tex]a_{4}[/tex] = 2+(4 - 1)·5 = 2+3(5) = 17

The first four terms of the arithmetic sequence are 2, 7, 12, and 17.

It is a sequence where the difference between each consecutive term is the same.

We have,

First term = 2

Common difference = 5

First term = 2

Second term = 2 + 5 = 7

Third term = 7 + 5 = 12

Third term = 12 + 5 = 17

Thus,

The first four terms of the arithmetic sequence are 2, 7, 12, and 17.

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Answer:

where is the shaded part?

Step-by-step explanation:

Answer: We can't answer the question without a shape or an expatiation.  Please try again with an image or at least tell the answers and image in detail.

Step-by-step explanation:

Answer:

scalene

Step-by-step explanation:

no sides are the same

Answer:

It would be a I think

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Correct Question :-

Given :-

We need to find :-

Solution :-

Using proportion ,

By means & extremes ,

=> - 7x = - 21 × 9

=> x = ( - 21 × 9 ) / - 7

=> x = 3 × 9

=> x = 27

Hence , when y = 9 → x = 27

Answer:

28.2

Step-by-step explanation:

Answer:

20% is 4.70

New total with tip = 28.20

Step-by-step explanation:

23.50 x .20

4.70

Answer:

Uhh eventully it is not so no

Step-by-step explanation:

Answer:

[tex]\sin \theta = \frac{40}{41}[/tex], [tex]\cos \theta = \frac{3}{82}[/tex], [tex]\tan \theta = \frac{80}{3}[/tex], [tex]\cot \theta = \frac{3}{80}[/tex], [tex]\sec \theta = \frac{82}{3}[/tex], [tex]\csc \theta = \frac{41}{40}[/tex]

Step-by-step explanation:

We notice that figure represents a right triangle, the hypotenuse has a length of 164 units and the leg opposite to [tex]\theta[/tex] has a length of 160 units. The sine of [tex]\theta[/tex] is:

[tex]\sin \theta = \frac{160}{164}[/tex]

[tex]\sin \theta = \frac{40}{41}[/tex]

The leg adjacent to [tex]\theta[/tex] is determine by the Pythagorean Theorem:

[tex]r = \sqrt{164^{2}-160^{2}}[/tex]

[tex]r = 6[/tex]

Then, the cosine of [tex]\theta[/tex] is:

[tex]\cos \theta = \frac{6}{164}[/tex]

[tex]\cos \theta = \frac{3}{82}[/tex]

Lastly, we determine the remaining trigonometric ratios by using these identities:

[tex]\tan \theta = \frac{\sin \theta}{\cos \theta}[/tex] (1)

[tex]\cot \theta = \frac{1}{\tan \theta}[/tex] (2)

[tex]\sec \theta = \frac{1}{\cos \theta}[/tex] (3)

[tex]\csc \theta = \frac{1}{\sin \theta}[/tex] (4)

If we know that [tex]\sin \theta = \frac{40}{41}[/tex] and [tex]\cos \theta = \frac{3}{82}[/tex], then the trigonometric ratios are, respectively:

[tex]\tan \theta = \frac{\frac{40}{41} }{\frac{3}{82} }[/tex]

[tex]\tan \theta = \frac{80}{3}[/tex]

[tex]\cot \theta = \frac{1}{\frac{80}{3} }[/tex]

[tex]\cot \theta = \frac{3}{80}[/tex]

[tex]\sec \theta = \frac{1}{\frac{3}{82} }[/tex]

[tex]\sec \theta = \frac{82}{3}[/tex]

[tex]\csc \theta = \frac{1}{\frac{40}{41} }[/tex]

[tex]\csc \theta = \frac{41}{40}[/tex]