An empty bathtub is filled at a constant rate of 8 gallons per minute. The bathtub will hold 36
gallons of water when full. The volume. V. of water in the bathtub is a function of t. the time
in minutes.
Which is the best description for the domain of the function V?

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:

[tex] x \ge 15 [/tex]

Step-by-step explanation:

An isosceles ∆ has 2 equal sides. The perimeter of a ∆ is the sum of all its sides.

Given that the perimeter of the triangle above is "at least 137 ft", this means the sum of all its sides is equal to or greater than 137 ft.

Thus, using inequality, this can be represented as:

[tex] 2(2x + 7) + 4x + 3 \ge 137 [/tex]

Solve for x

[tex] 4x + 14 + 4x + 3 \ge 137 [/tex]

Add like terms

[tex] 8x + 17 \ge 137 [/tex]

Subtract 17 from both sides

[tex] 8x + 17 - 17 \ge 137 - 17 [/tex]

[tex] 8x \ge 120 [/tex]

Divide both sides by 8

[tex] \frac{8x}{8} \ge \frac{120}{8} [/tex]

[tex] x \ge 15 [/tex]

Answer:

18

Step-by-step explanation:

30*0.4=12

This means 40% of 30 is 12 and Ana has completed 12 problems.

30-12 = 18, so she still needs to do 18 problems.

Answer:

-10, -6, 3, 4, 7

Step-by-step explanation:

Hope it helps ^^

Answer:

4# 4x2 + 6x - 6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

x^2+2x-5+3x^2+4x-1=4x^2+6x-6=4x^2+6x-6

Hope you'll find it helpfull

Answer:

(-4 , 0)

Step-by-step explanation:

Graph attached

Answer:

1.  y=3x-4

2. y=-3x+4

3. y= -1/3x+4

4. y= 1/3x-4

Step-by-step explanation:

1. slope= change in y/ change in x

  slope= -1-(-4)/1-0=3

  y=3x+b

 -4=3(0)+b

   b=-4

y=3x-4

2. slope=4-10/0-(-2)= -3

y=-3x+b

b=4

y=-3x+4

3. slope= -1/3

y=-1/3x+b

3= -1/3(3)+b

3= -1+b

b=4

y= -1/3x+4

4. y= 1/3x-4 (last one)

Answer:

y=x+3

Step-by-step explanation:

same as the last one =)

Answer:

49

Step-by-step explanation:

49 + 14 = 63

so that means:

x = 49

Answer:

h=(x/5)-8

Step-by-step explanation:

i hope that helps

Formula for h is, h = 1/5 (x - 8).

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The formula is,

⇒ x = 5h + 8

Now, We can solve the formula for h as;

⇒ x = 5h + 8

Subtract 8, we get;

⇒ x - 8 = 5h + 8 - 8

⇒ x - 8 = 5h

Divide by 5;

⇒ 1/5 (x - 8) = h

⇒ h = 1/5 (x - 8)

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Answer:

3x - 2

Step-by-step explanation:

3 times Kim's age (x), so 3x; minus 2 years (Sam's age).

Answer:

The answer is 3x - 2  :)

Step-by-step explanation: 3x = 3 times Kim's age (x) minus 2

Answer: -11/5

Step-by-step explanation:

[tex]\frac{11}{7}[/tex]÷[tex]\frac{-15}{21}[/tex]

-[tex]\frac{11}{7}[/tex]× [tex]\frac{21}{15}[/tex]

-11×[tex]\frac{3}{15}[/tex]

-11 × [tex]\frac{1}{5}[/tex]

Answer:

I can assure you, that this is not that hard. but. I will help you with one of them.

Step-by-step explanation:

audience-look it up in the dictionary

it's basically a crowd of people.

sebtence- I listened to the audio of the audio book.

Answer: y<10

Step-by-step explanation:

2y<16+4

2y<20

y<10

Answer:

Step-by-step explanation:

Simplifying

16 = 2y + -4

Reorder the terms:

16 = -4 + 2y

Solving

16 = -4 + 2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2y' to each side of the equation.

16 + -2y = -4 + 2y + -2y

Combine like terms: 2y + -2y = 0

16 + -2y = -4 + 0

16 + -2y = -4

Add '-16' to each side of the equation.

16 + -16 + -2y = -4 + -16

Combine like terms: 16 + -16 = 0

0 + -2y = -4 + -16

-2y = -4 + -16

Combine like terms: -4 + -16 = -20

-2y = -20

Divide each side by '-2'.

y = 10

Simplifying

y = 10

Answer:

Tulips• 7, 14, 21, 28 and 35.

Carnations• 3, 6, 9, 12 and 15.

Other:

Find above the whole number ratio for the tulips and carnations graph. Brainliest? Thanks!

Answer:

this is confused me so much is it supposed to be a trick or is that a actual question-

Answer:

well for me I think

Step-by-step explanation:

+10

T=-4.3+10

T=5.7°C

Answer:

[tex]\frac{2}{25}[/tex]

Step-by-step explanation:

All percents can be written as a fraction with their denominator as 100.

So, first we can write the fraction as 8/100 and start making it smaller and simplifying it.

[tex]\frac{8}{100}[/tex] can be divided by 4 since that is the GCF ( Greatest common factor)

Now, the numerator would be 2 and the denominator would be 25 as shown below ...

[tex]\frac{2}{25}[/tex]

This is the simplest form of 8% as a fraction

Hope this Helps!!! :)

Let me know in the comments if the answer was perfect or if I should change anything!!!

The simplest form of the 8% as a fraction is 2 / 25.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %.

All percentages can be written as a fraction with their denominator as 100. First, write the fraction as 8/100 and start making it smaller and simplifying it.

Fraction = 8 /100

Fraction = ( 4 x 2) / ( 4 x 25)

Fraction  = 2 / 25

Thus, the 8% in the fraction is 2 / 25.

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Answer:

64 =theta

Step-by-step explanation:

We have a right triangle.

We know the adjacent side and the hypotenuse

adjacent/ hypotenuse = cos theta

7/16 = cos theta

Take the inverse cos of each side

cos ^-1 ( 7/16) = cos ^ -1 cos theta

64.05552023 = theta

64 =theta

Answer:

≅ 64°

Step-by-step explanation:

using rule of cos invers

[tex]Cos^{-1} (\frac{7}{16} )=64.05\\[/tex]

Answer:

a. always positive

Step-by-step explanation:

Alex learning?

Answer:

The answer is 5/6.

Step-by-step explanation:

Answer:

12y - x - 28 = 0

Step-by-step explanation:

............

Answer:

0.66772

Step-by-step explanation:

Given that :

Mean (m) = 62

Standard deviation (s) = 4

probability that a data value is between 57 and 65

P(57 < x < 65)

Using the relation :

(x - m) / s

P(x < 57) :

(57 - 62) / 4 = - 1.25

P(Z < - 1.25) = 0.10565 ( Z probability calculator)

P(x < 65) :

(65 - 62) / 4 = 0.75

P(Z < 0.75) = 0.77337 (Z probability calculator)

P(Z < 0.75) - P(Z < - 1.25)

0.77337 - 0.10565 = 0.66772

Answer:

66.8%

Step-by-step explanation:

Just took the test

Answer:

the answer is C

Step-by-step explanation:

[tex]5.7\% = \frac{5.7}{100} = 0.057[/tex]