What is another name for line P?

The approximate probability that Ankit will make all three shots is 0.405 or 40.5%.

A probability distribution known as the binomial distribution is used to characterize the number of successes in a certain number of independent trials, where each trial has only one of two potential outcomes (success or failure) and the chance of success is constant across all trials. For determining the likelihood of achieving a certain number of successes in a set number of trials, it is utilised.

Given, Ankit makes 74% of the free throws.

Using binomial distribution we have:

[tex]P(X=k) = (n C k) * p^k * (1-p)^{(n-k)}[/tex]

For k = 3 we have:

[tex]P(X=3) = (3 C 3) * 0.74^3 * (1-0.74)^{(3-3)}\\\\P(X=3) = 0.74^3[/tex]

P(X=3) ≈ 0.405

Hence, the approximate probability that Ankit will make all three shots is 0.405 or 40.5%.

Learn more about binomial distribution here:

https://brainly.com/question/31197941

#SPJ1

Answer:

work shown and pictured

Answer:

[tex] - 4.67[/tex]

Step-by-step explanation:

[tex] \frac{p}{2 - 5} = \frac{14}{2 - 5} = \frac{14}{ - 3} = - 4.67[/tex]

Answer:

Temperature at 9 A.M =  13° F

Step-by-step explanation:

Given:

Temperature at 6 A.M = - 2° F

Temperature increases in 3 hours =  15° F

Find:

Temperature at 9 A.M

Computation:

Temperature at 9 A.M = Temperature at 6 A.M + Temperature increases in 3 hours

Temperature at 9 A.M =  - 2° F + 15° F

Temperature at 9 A.M =  13° F

Complete question is;

Henrique began to solve a system of linear equations using the linear combination method. his work is shown below

1. 3 (4x-7y=28) -> 12x-21y=84

-2 (6x-5y=31) -> -12x 10y =62

2. 12x - 21y = 84

-12x + 10y = -62

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

-11y = 22

3. y= -2

complete the steps used to solve a system of linear equations by substituting the value of y into one of the original equation s to find the value of x. what is the solution to the system

Answer:

x = 3.5

Step-by-step explanation:

We are given;

1. 3(4x - 7y = 28) -> 12x - 21y = 84

-2(6x - 5y = 31) -> -12x + 10y = 62

2. 12x - 21y = 84

-12x + 10y = -62

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

-11y = 22

3. y= -2

Since y = - 2, let's put -2 for y into the equation; 12x - 21y = 84

This gives;

12x - 21(-2) = 84

This gives;

12x + 42 = 84

12x = 84 - 42

12x = 42

x = 42/12

x = 3.5

Answer:

each

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

4(2)4 - 2(7)2 + 40

32 - 28 + 40

44

Answer: 6

Step-by-step explanation:

4a^4-2b^2+40, given a=2 and b=7

 4a^4-2b^2+40

=4(2)^4-2(7)^2+40

=4(16)-2(49)+40

=64-98+40

=-34+40

=6

Hope this helps!! :)

Please let me know if you have any question

Answer:

Linear

Step-by-step explanation:

It goes up by 2 each time, so it would be linear.

Answer:

This really is about trial and error

28-24/(4*2)=25

Step-by-step explanation:

If you do this correctly, the numbers you'll get are 28-3 = 25!

Hope this helps!! :)

Answer:

I think this is the answer

Answer: $1.17 per drink

Step-by-step explanation:

Let x=the cost of one drink

11.5+6x=18.5

subtract 11.5 on both sides

11.5+6x-11.5=18.5-11.5

6x=7

Divide 6 on both sides

6/6 x=7/6

x=7/6

7/6≈$1.17

Hope this helps!! :)

Please let me know if you have any question

Answer:

Step-by-step explanation:

f(x) = x - 5

g(x) = 3x² - 1

To find (fºg)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with g (x)

That's

We have the final answer as

Hope this helps you

Answer:

D

Step-by-step explanation:

So, one friend rolled a 1 and the other rolled a 3. Taylor needs to roll a number higher than both friends in order to win.

So, the possible numbers Taylor can roll to win are 4, 5, or 6.

Out of the six possible choices, 4, 5, and 6 is takes up 3. Thus, the chances of Taylor winning is:

[tex]3/6=50\%[/tex]

The answer is D.

Answer:

the square root of 225 is 15.9

Answer:

15.♾

Step-by-step explanation:

Answer:

y =2

Step-by-step explanation:

Inverse variation is of the form

xy = k

3*6 = k

18 = k

xy = 18

Now when x = 9, find y

9*y = 18

Divide by 9

y = 18/9

y =2

When x =9, y =2

Answer:

y = 2

Step-by-step explanation:

y = 6   ⇔  x= 3

y = ?   ⇔   x = 9

y = 6*3/9

y = 2

Answer:

27

Step-by-step explanation:

if you add 4 to 3 you get 7 and if you add 4 to 7 you get 11 so keep adding 4 to all the numbers and you will get the next number.

Answer:

The pattern is going by 4 so your next number would be 27

Step-by-step explanation:

Count from 3 to reach 7 then you get 4 same goes for the rest of the numbers so if you count 4 more of 23 you get 27

Hope that answered ur question

Answer:

false contradiction

Step-by-step explanation:

The '⊥' symbol stand for false contradiction. The up tack or falsum ('⊥') is a constant symbol used to represent: The bottom element in lattice theory. ... A logical constant denoting "false" in logic.

Step-by-step explanation:

The symbol shows to be perpendicular since the vertical line is dividing the horizontal in half with an angle of 90 I guess

Answer:E

Step-by-step explanation:

just took the test

The atmosphere is divided into five different layers, based on temperature.

To learn more about Earth's atmosphere refer

https://brainly.com/question/24925283

#SPJ2

Answer:

3

Step-by-step explanation:

15-2x=3x

or,3x+2x=15

or,5x=15

or,x=15/5

Therefore, x=3.

Answer:

x=5 and y=2

Step-by-step explanation:                              

[tex]x=y+3\\x=2+3\\x=5[/tex]                           [tex]x+y=7\\y+3+y=7\\2y+3=7\\2y=7-3\\2y=4\\ \frac{2y}{2}=\frac{4}{2}\\ y=2[/tex]                    

The solution of the system, x + y = 7, x = y + 3 is x = 5 and y = 2.

Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign. It shows that the expressions printed on the left and right sides have an equal relationship.

Given:

x + y = 7

x = y + 3

Write both equations as shown below,

x = -y + 7

x = y + 3

Add both equations,

x + x = -y + y + 7 + 3

2x = 10

x = 5,

5 = y + 3

y = 5 - 3

y = 2

To know more about equation:

https://brainly.com/question/12788590

#SPJ2

Answer:

Step-by-step explanation:

sweet

Answer:

Step-by-step explanation:

- 6x + 9 > 7x + 74

Treat them as being equal first.

Subtract 9 from both sides.

- 6x + 9 - 9 > 7x + 74 - 9

- 6x > 7x + 65

Subtract 7x from each side

- 6x - 7x > 7x - 7x + 65

- 13x > 65

Divide each side by -13

- 13x / -13  > 65 / -13

x < -5

So x hust be smaller than -5 meaning -6 works but -4 doesn't.

Answer:

126

Step-by-step explanat

(30)(15) - (72%)

Answer:

$1296

Step-by-step explanation:

paycheck in 1 month: $15/hour * 30 hours/week * 4 weeks/month = $1800/month

net pay = 72% of paycheck in 1 month = 72% of $1800 =

= 0.72 * $1800 = $1296

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf 240 \: {inches}^{2} }}}}[/tex]

Step-by-step explanation:

Given,

Length of a rectangle = 20 inches

Perimeter of a rectangle = 64 inches

Area of a rectangle = ?

Let width of a rectangle be ' w ' .

First, finding the width of a rectangle

[tex] \boxed{ \sf{perimeter = 2(l + w)}}[/tex]

plug the values

⇒[tex] \sf{64 = 2(20 + w)}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{64 = 40 + 2w}[/tex]

Swap the sides of the equation

⇒[tex] \sf{40 + 2w = 64}[/tex]

Move 2w to right hand side and change it's sign

⇒[tex] \sf{2w = 64 - 40}[/tex]

Subtract 40 from 64

⇒[tex] \sf{2w = 24}[/tex]

Divide both sides of the equation by 2

⇒[tex] \sf{ \frac{2w}{2} = \frac{24}{2} }[/tex]

Calculate

⇒[tex] \sf{w = 12 \: inches}[/tex]

Width of a rectangle ( w ) = 12 inches

Now, finding the area of a rectangle having length of 20 inches and width of 12 inches

[tex] \boxed{ \sf{area \: of \: rectangle = length \: \times \: \: width}}[/tex]

plug the values

⇒[tex] \sf{area \: of \: rectangle =20 \times 12 }[/tex]

Multiply the numbers : 20 and 12

⇒[tex] \sf{area \: of \: rectangle = 240 \: {inches}^{2} }[/tex]

Hence, Area of a rectangle = 240 inches²

Hope I helped !

Best regards!

Answer:

the price per book is $3 the constant of proportionality is 3

Step-by-step explanation:

12 divided by 4 is 3 and 9 divided by 3 is 3 so it means that the price for 1 book is going to be 3 and for every book you buy the original value will be 3.

Answer:

v=3

Step-by-step explanation:

Answer:

The total is: 74$

Step-by-step explanation:

1.50$ times 40 equals 60. Then you have to add up the cost you usually get per month which is 14$. 60 plus 14$ = 74$

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The total money to pay in a month in which she downloaded 40 songs is $74.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Cost per month for streaming music = $14

Cost per song for download = $1.50

Total cost for downloading 40 songs.

= 40 x 1.50

= $60

The total cost for the month.

= Monthly charges + Cost of downloading 40 songs

= $14 + $60

= $74

Thus,

The total money to pay in a month in which she downloaded 40 songs is $74.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

The correct answer will be option C Randomization of students in morning and afternoon classes.

Psychology is the scientific study of the mind and behavior, according to the American Psychological Association.

The only way to minimize this effect would be through randomization of students in morning and afternoon classes.

Doing so apply the factor of skill from an individual student to either time of day class greatly lessens the overall effect that it has on the results.

This therefore, minimizes the effect it has on the experiment itself, since the same students that have been studying in a certain time of day would be randomized and not have the same environment that they are used to.

To know more about Psychology follow

https://brainly.com/question/12011520

#SPJ2

Answer:

Step-by-step explanation:

Direct control by requiring every class to take the same test