What is the equation of the following line? Be sure to scroll down first to see all answer options.

Probability that he will make the next free throw is 0.89% if larry bird made approximately 89% of all free throws during his nba career.

During nba career he made approximate 89% of all free throws.

To calculate the probability of the next 10 free throws given which will be

= No. of possible outcome / Total no. of outcome

= 89 / 100

= 0.89 %

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcome like how likely they are.

P(A) = (# of ways A can happen) / (Total number of outcomes)

which means that Probability that he will make the next free throw is 0.89 %

To learn more about probability

https://brainly.com/question/9653825

#SPJ4

This involves setting the sample mean equal to the theoretical mean and solving for p. Using the given data, we obtain a point estimate of p = 0.101.

The geometric distribution is commonly used to model the number of independent trials needed to obtain the first success in a sequence of Bernoulli trials with probability of success p. The theoretical mean of a geometric distribution is μ = 1/p, which represents the expected number of trials needed to obtain the first success.

To find a point estimate for p using the method of moments, we first calculate the sample mean of the given data, which is X' = 13.8. We then set this equal to the theoretical mean and solve for p:

X' = 1/p

13.8 = 1/p

p = 1/13.8

p ≈ 0.101

Intuitively, this estimate makes sense because it represents the proportion of successes expected in a single trial, based on the given sample. In other words, if we were to repeat the same sequence of trials many times, we would expect to see a success rate of approximately 0.101.

Additionally, since the geometric distribution is memoryless, meaning the probability of success does not depend on the number of previous trials, this estimate can be used to make predictions about future trials as well.

Learn more about Sample Mean:

brainly.com/question/31101410

#SPJ11

The vertex of the quadratic equation:

f(x) = 2x^2 - 8

is (0, -8)

For a general quadratic equation:

a*x^2 + b*x + c

The vertex is located at the x-value:

x = -b/2a

Here we have the quadratic equation:

f(x) = 2x^2 - 8

Then the values are:

a = 2

b = 0

c = -8

Then the vertex is at:

x = 0/2*2 = 0

To get the y-value of the vertex, we need to evaluate on x = 0.

f(0) = 2*0^2 - 8 = -8

So the vertex is (0, -8).

Learn more about quadratic equations at:

https://brainly.com/question/1214333

#SPJ1

To fill in each blank so that the values are in order from smallest to largest, we have;

4° , 1⁴ = 4, 2² , 3³ , 4³ , 2⁹

We need to know that index forms are defined as mathematical forms used to represent numbers or variables that are too large or too small in more convenient forms.

These index forms are also known as scientific notation or standard forms.

Some examples of index forms are;

3²

4³

2³

From the information given, we have that;

To arrange the numbers;

4° = 1

1⁴ = 4

2² = 4

3³ = 27

4³ = 64

2⁹ = 512

Learn more about index forms at: https://brainly.com/question/15361818

#SPJ1

Nearly 150,000,000 cars were registered in the US as a whole in 2007. China, India, and the United States are the three nations with the largest populations on earth.

Average lifespan and child mortality rate are indeed the two key metrics that most accurately reflect a citizenry's standard of living.

The population of the globe is projected to reach about 10 billion people in 2050. Africa and Asia will see the most expansion in population if indeed the patterns in demographic persist.

Cultural practices, governmental regulations, and monetary support, as well as female employment prospects as well as education levels, all have an impact on the overall birthrate of a community.

To know more about metrics click here

brainly.com/question/24248807

#SPJ4

Answer:

Zero frequency:  

✔ 351–400

A peak:  

✔ 651–700

Step-by-step explanation:

Answer:

B: 351-400 (zero frequency)

A: 651-700 (peak)

Step-by-step explanation:

edg2020

The dilation of quadrilateral ABCD to form quadrilateral A'B'C'D' can be found to be a A. reduction.

A reduction is a transformation that decreases the size of a shape or figure while maintaining its shape and proportions. It involves scaling down all the dimensions of the figure by the same factor.

This can be achieved by multiplying the coordinates of each point in the figure by a scaling factor less than 1. A reduction is often used when creating scaled-down models, maps, or drawings.

As shown on the diagram, the dimensions of quadrilateral ABCD are larger than those of A'B'C'D' which shows that it was reduced.

Find out more on reduction at https://brainly.com/question/9590734

#SPJ1

Answer:

Step-by-step explanation:

Use PEMDAS to determine order of operations.

P = Parentheses

E = Exponents

M/D = Multiplication/Division

A/S = Addition/Subtraction

The operation in the parentheses must be performed first, which is the addition of 6.1 + 12.

The next operation to perform is multiplication, which is 415 times (6.1 + 12).

The last operation to perform is the subtraction of 415 times (6.1 + 12) from 8.3.

6.1 + 12 = 18.1

8.3 - 415(18.1)

8.3 - 7511.5 = -7503.2

Answer:

m [ slope ] = 8/3

Step-by-step explanation:

What is the slope of the line that passes through the points (5, 1) and (2, -7)?

m = ∆y / ∆x

m = y₂ – y₁ / x₂ – x₁

| (5, 1) → (x₁, y₁) | (2, -7) → (x₂, y₂) |

[each coordinate will correspond (directly go to) to the variables shown]

m = (-7) – (1) / (2) – (5)

m = -8 / -3

m = 8 / 3

This means that this line has a rise of 8 and a run of 3.

Up 8 and right 3 proportionally, it would touch the opposite corners of a plane that was 8 by 3 units.

Slope can be thought of as the steepness of a line, the greater the slope, the greater the steepness.

These points are generally known as cartesian coordinates.

____________

Once you have the slope, you can back track from one of the coordinates to find the equation of the line.

Just multiply the slope by the x of either coordinate, make it opposite, and then add that to the y of that coordinate to get b [the y-intercept; where it crosses the y axis, x is always 0]

Since (2, -7) is closer to the y axis than (5, 1) it is more convenient.

In (2, -7), 2 is the x variable and -7 is the y variable.

-mx + y = (-8/3)(2) + (-7) = -16/3 + (-21/3)

21/3 is the same as 7 [so it will have a common denominator].

-16 + -21 / 3 = -37/3 = b

Thus this line has an equation of

y = mx + b

↓ ↓

y = 8/3x – 37/3.

__________________________

Or you can refer to point slope which is what is taught:

y – y₁ = m(x – x₁).

You can tell that there are some similarities to this and the slope formula.

m = ( y₂ – y₁ / x₂ – x₁ ) →

m × ( x₂ – x₁ ) =

( y₂ – y₁ / x₂ – x₁ ) × ( x₂ – x₁ )

[multiply the denominator by both sides]

m ( x₂ – x₁ ) = y₂ – y₁

[x₂, and y₂ can just be x and y since you only need the initial coordinate and slope, because the second coordinate can be anything along that line]

m ( x – x₁ ) = y – y₁ →

y – y₁ = m(x – x₁)

[symmetric property of equality]

if a = b, b = a.

Answer:

14.900

Step-by-step explanation:

in 849 the 9 is not under 5 so we move it up  and make the 4 a 5 and then its exactly five so we can make the 8 a 9  then cancel everything below it to a zero.

Answer:

14.90 or just leave it at 14.85

Step-by-step explanation:

14.849 because it is a nine, you round up but it's a little different,

14.85 and because 4 is a 5 now,

14.90 you round up.

Answer:

Each egg is 7 pesos

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

Step-by-step explanation:

One dozen mean 12, so 4 dozens means 4 x 12 = 48.

Dividing 336 by 48 we get

336 ÷ 48

= 7

Hence, the cost for each egg is 7 pesos.

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

Hope this helps :)

Have a nice day!

Answer:

(-2,0)

Step-by-step explanation:

When finding the x intercept, substitute 0 for Y. -20/10=-2.

I hope this helps

Answer:

The x-intercepts of that is (-2,0).

Answer:

1. 75

2. 480 people

Step-by-step explanation:

1. 450/2 = 225

300 - 225 = 75

2. 20 * 3 = 60

12 * 35 = 420

420 + 60 = 480

Answer:

8

Step-by-step explanation:

4*8=32

Answer:

8

Step-by-step explanation:

4x=32

Step 1: 32 divide by 4 = 8

The expression √75x³y in radical form is 5x√(3xy).

The given expression is √75x³y

Square root of seventy five times of x cube times of y

We have to write in radical form

We can simplify √75x³y as follows:

√75x³y

= √(25×3×x²×x×y)

= 5x√(3xy)

Therefore, the expression √75x³y in radical form is 5x√(3xy).

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ1

Answer:

g = -3

Step-by-step explanation:

subtract 6 on both sides

-2g = 6

divide by -2

g = -3

Answer:

G=-3

Step-by-step explanation:

I have used an online algebra calculator to check my answer against and I got the answer g= -3 both times so I am 100% positive that the answer is correct.

PLEASE MARK BRAINLIEST  

Answer:

16.14

Step-by-step explanation:

Multiply both sides by −4.

f=−4.06(−4)

Multiply −4.06 and −4 to get 16.24.

Answer:

16.24

Step-by-step explanation:

Using the statements given for congruency the proof is -

TC ≅ TM                      Given

AT bisects ∠CTM        Given

∠ATC ≅ ∠ATM            Definition of bisect

AT ≅ AT                       Reflexive property

Δ ATC ≅ Δ ATM          SAS theorem

CA ≅ MA                      ≅ Δs → ≅ parts

What is congruency?

If two shapes are similar in size and shape, they are congruent. We can also state that if two shapes are congruent, then their mirror images are identical.

A diagram of a diamond ACTM is given.

The line segment TC is equal and congruent to line segment TM.

This statement is already given in the question.

The line segment AT bisects angle CTM.

This statement is already given in the question.

The angle ATC is equal and congruent to angle ATM.

This statement is the definition of bisect.

The line segment AT is equal and congruent to line segment AT.

This statement is true by the reflexive property of the triangles.

Triangle ATC is equal and congruent to triangle ATM.

This statement is true by Side-Angle-Side (SAS) theorem of the triangles.

The line segment CA is equal and congruent to line segment MA.

This statement is true as the triangles are congruent to each other and congruent triangles have congruent parts.

Therefore, the proof is complete.

To learn more about congruency from the given link

https://brainly.com/question/3999145

#SPJ1

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

Learn more about graph from

https://brainly.com/question/19040584

#SPJ11

Step-by-step explanation:

We can find the other point using the axis of symmetry.

The axis of symmetry for a parabola passes through the x coordinate of the vertex.

So our axis of symmetry is x=4, which is a vertical line.

For any point on a parabola curve except the vertex, there will two points that share the same y value. The two x coordinates of those points midpoints should be the axis of symmetry.

So,

If we know (0,-6) and the vertex is 4, let's find the other point

\(( \frac{0 + b}{2} = 4\)

\(b = 8\)

So our other point is

(8,-6).

So the answer to #1 is we found point (8,-6) by using the axis of symmetry. By reflecting the point (0,-6) about the vertical line x=4, we end up getting the point (8,-6)

To find q, q(x) has the same vertex, so it is (4,10).

We know the axis of symmetry is x=4, we also know the y intercept is 18 so we have point (0,18)

Using the axis of symmetry we will get (8,18).

So the graphs above are the graphs of p and q

The graph facing upwards is q

The graph facing downwards is p.

For #2, you can say we know the vertex is (4,10) and using the y intercept and axis of symmetry we found the other point on the curve.

I don't fully see the table but if the other coordinates have a higher y value, the vertex is a minimum.

Else, of the other coordinates have a lower y value, the vertex is a maximum.

The algebraic expression for the sum of the measures of the angles for a polygon with n sides is given by (n-2) * 180 degrees.

In a polygon, the sum of the measures of the interior angles is determined by the number of sides it has. It is known that the sum of the measures of the angles in a triangle is 180 degrees.

For each additional side added to the polygon, an extra triangle is formed, and therefore, an additional 180 degrees is added to the total sum of the angles.

To express this algebraically, we start with the base case of a triangle (n=3), where the sum of the measures of the angles is (3-2) * 180 = 180 degrees. From here, we can observe that for each additional side (n-2), we multiply by 180 to find the total sum of the angles for the polygon.

Thus, the algebraic expression for the sum of the measures of the angles for a polygon with n sides is (n-2) * 180 degrees.

Learn more about polygon here :

brainly.com/question/17756657

#SPJ11

The formula for the positive value of b in terms of a and c is:

                          b = √(c^2 - a^2)

The Pythagorean Theorem is given by the formula a^2 + b^2 = c^2. It relates the three sides of a right triangle. To solve the formula for the positive value of b in terms of a and c, we will first need to isolate b by itself on one side of the equation:

Begin by subtracting a^2 from both sides of the equation:

                  a^2 + b^2 = c^2

                            b^2 = c^2 - a^2

Then, take the square root of both sides to get rid of the exponent on b:

                           b^2 = c^2 - a^2

                               b = ±√(c^2 - a^2)

However, we want to solve for the positive value of b, so we can disregard the negative solution and get:    b = √(c^2 - a^2)

Therefore, the formula for the positive value of b in terms of a and c is b = √(c^2 - a^2)

To know more about Pythagorean Theorem here:

https://brainly.com/question/343682

#SPJ11

Answer:

10

Step-by-step explanation:

1x+20=30

1x=30-20

x=10

If one flag pole is y feet tall and casts a shadow x feet long, and another nearby flag pole casts a shadow p feet long at the same time of day, we can use similar triangles to determine the shadow of the second flag pole.

In this scenario, the two flag poles and the ground form two similar right triangles. The height of the first flag pole (y) corresponds to one leg of the first triangle, and the length of its shadow (x) corresponds to the other leg.

Similarly, the height of the second flag pole (h) corresponds to one leg of the second triangle, and the length of its shadow (p) corresponds to the other leg.

Therefore, the height of the second flag pole is equal to the product of the height of the first flag pole and the length of the shadow of the second flag pole, divided by the length of the shadow of the first flag pole.

For more details about shadow click here:

https://brainly.com/question/31162142#

#SPJ11

Answer:

0.6

Step-by-step explanation:

A probability is the likelihood of an event occurring. A probability function is a function in which at any point, its probability value can be estimated. The integral of the probability function is always ≤ 1

To find the probability that x = 2 or 3, we simply add their respective individual probabilities, therefore:

P(X = 2 or 3) = P(X = 2) + P(X = 3) = P(2) + P(3) = 0.5 + 0.1 = 0.6.

P(X = 2 or 3) = 6

The given expression:

The expression can be written as :

Take 9 common :

Since 3 x 3 = 9

Apply the property of factorization:

So, the expression can be written as :

So, the factorization is : 9(x + 3) (x - 3)

Answer :

The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. Therefore, the correct answer is C.

A pivot column is a column of the matrix that has a non-zero entry in the pivot position and all entries below the pivot are zero. In row echelon form, every row below a pivot column has a zero in the corresponding position. The pivot columns correspond to the linearly independent columns of the original matrix and the number of pivot columns determines the rank of the matrix.

The rank of a matrix is defined as the number of linearly independent columns or rows in the matrix. If the columns of a matrix span Rn, then the rank of the matrix must be equal to n. This means that the matrix must have n linearly independent columns. To ensure that the columns of A span R5, A must have at least 5 pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have a non-trivial solution, meaning that the columns of A would not be linearly independent and would not span R5.

You can learn more about pivot column at

https://brainly.com/question/29786913

#SPJ4

Answer:

5/9

Step-by-step explanation:

Experimental was what actually happened.

Theoretical was what should happen in a perfect, equal world.

E: 6/6 = 1

T: 4/9

E-T= 1-4/9=5/9

A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

For more such questions on k-value, click on:

https://brainly.com/question/1978047

#SPJ8