a college basketball player makes 70% of his free throws. at the end of a game, his team is losing by two points. he is fouled attempting a three-point shot and is awarded three free throws. assuming each free throw is independent, what is the probability that he makes at least two of the free throws?

Answer:

The answer is b.7

Step-by-step explanation:

Because i had the question and got it right

Answer:

to prove:

mo=qo (given in the question)

angle m = angle q (given in the question)

angle MOP= angle QON (both the triangles meet at angle O so the angles are equal)

hence they are congruent.

Step-by-step explanation:

hope so its right

mark brainliest

Answer:

A soft taco costs $1.25 and a burrito costs $2.50

Step-by-step explanation:

To start to find the cost of each, you need to set up a system of equations. Start by using x for the cost of a soft taco. Then use y for the cost of a burrito. First you can compile an equation for what you paid.

3x + 3y = 11.25

Now you can do the same with your friend's purchase.

4x + 2y = 10.00

Now to solve we can use a number of different methods. We'll use elimination this time. To use that, multiply the first equation by -2 and the second equation by 3. Then line them up like this:

-6x - 6y = -22.50

12x + 6y = 30.00

Now we add them straight through to cancel the y's and solve for x.

6x = 7.50

x = 1.25

Now we know the cost of a soft taco is $1.25 and we can find the burrito cost by using the taco cost in either equation.

3x + 3y = 11.25

3(1.25) + 3y = 11.25

3.75 + 3y = 11.25

3y = 7.50

y = 2.50

So we know that a burrito costs $2.50

The probability of selecting a striped marble, not replacing it, then selecting a black marble is 4/15.

The probability of selecting a striped marble on the first draw is 6/10, since there are 6 striped marbles out of a total of 10 marbles in the bag.

After the first marble is drawn, it is not replaced, so there are now 9 marbles left in the bag. Out of these, there are 4 solid marbles and 5 striped marbles. Therefore, the probability of selecting a black marble on the second draw is 4/9.

To find the probability of both of these events occurring together, we multiply the probabilities

P(striped, then black) = P(striped) × P(black | striped not replaced)

P(striped, then black) = (6/10) × (4/9)

P(striped, then black) = 24/90

P(striped, then black) = 4/15

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The given question is incomplete, the complete question is:

There are 10 marbles in a bag (4 solid, 6 striped) .what is the probability of selecting a striped marble, not replacing it, then selecting a black marble?

Answer:

OK, the answer is x = 5, hope it helps

Step-by-step explanation:

Usually, we use the slope formula to find the slope of a line when we know two points on the line. But if we already know the slope of a line, we can use the slope formula to find a missing coordinate of a point on the line.

Here's the slope formula we'll be using:

Example

Find x if the line through the points (6, x) and (1, -5) has a slope of 2.

Since the slope of the line is 2, we'll replace the m in our slope equation with 2. The two points will give us the numbers and variable that will replace the subscripted variables in the slope equation.

Be careful here! Did you notice that the x in the first point is really the y-coordinate of that point? Now we'll use the slope formula to find the value of x, the missing y-coordinate.

-10 = -5 - x

-5 = -x

-1(-5) = -1(-x)

5 = x

x = 5

OK, the answer is x = 5, but what does the answer mean? It means that if we substitute 5 for the missing coordinate in the first point, the slope of the line between the two points will be equal to 2. If you want to check this answer, just use the slope formula to find the slope of the line between (6,5) and (1,-5). If the slope of this line is 2, you know that your answer of x=5 is correct.

This algorithm will find the mode of a list of integers using a divide-and-conquer approach, recursively breaking the problem down into smaller parts and merging the results.

Here's a recursive algorithm for finding a mode in a list of integers, using the terms you provided:

1. If the list has only one integer, return that integer as the mode.
2. Divide the list into two sublists, each containing roughly half of the original list's elements.
3. Recursively find the mode of each sublist by applying steps 1-3.
4. Merge the sublists and compare their modes:
  a. If the modes are equal, the merged list's mode is the same.
  b. If the modes are different, count their occurrences in the merged list.
  c. Return the mode with the highest occurrence count, or either mode if they have equal counts.

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1. Sort the list of integers in ascending order.
2. Initialize a variable called "max_count" to 0 and a variable called "mode" to None.
3. Return the mode.



In this algorithm, we recursively sort the list and then iterate through it to find the mode. The base cases are when the list is empty or has only one element.

1. First, we need to define a helper function, "count_occurrences(integer, list_of_integers)," which will count the occurrences of a given integer in a list of integers.

2. Next, define the main recursive function, "find_mode_recursive(list_of_integers, current_mode, current_index)," where "list_of_integers" is the input list, "current_mode" is the mode found so far, and "current_index" is the index we're currently looking at in the list.

3. In `find_mode_recursive`, if the "current_index" is equal to the length of "list_of_integers," return "current_mode," as this means we've reached the end of the list.

4. Calculate the occurrences of the current element, i.e., "list_of_integers[current_index]," using the "count_occurrences" function.

5. Compare the occurrences of the current element with the occurrences of the `current_mode`. If the current element has more occurrences, update "current_mod" to be the current element.

6. Call `find_ mode_ recursive` with the updated "current_mode" and "current_index + 1."

7. To initiate the recursion, call `find_mode_recursive(list_of_integers, list_of_integers[0], 0)".

Using this recursive algorithm, you'll find the mode of a list of integers, which is the element that occurs at least as often as every other element in the list.

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Answer: C=   -3, -1, 2, 5

Step-by-step explanation:

The relationship between x and y is proportional, with a constant of proportionality equal to 3.

To determine if the table and the equation represent the same proportional relationship between x and y, we need to examine whether the values in the table follow a consistent pattern that aligns with the equation.

In a proportional relationship, the ratio of y to x remains constant. This means that for every value of x, the corresponding value of y will be a multiple of x. This multiple is represented by a constant, often denoted as k or m, in the equation.

Let's analyze the given table and equation:

Table:

x         |       y

0         |  0

1          |  1

3         |  2

2/3      |  33

1          |  4

5         |  6

1 1/2    | 3

Equation:

y = 3x

By comparing the values in the table with the equation, we can see that the values of y are obtained by multiplying the corresponding values of x by 3. This matches the equation y = 3x, where the constant of proportionality is 3.

For example:

When x = 1, y = 3(1) = 3.

When x = 2/3, y = 3(2/3) = 2.

When x = 5, y = 3(5) = 15.

The values in the table consistently follow the pattern of being a multiple of x by a factor of 3, which confirms that the table and the equation represent the same proportional relationship between x and y.

Therefore, based on the table and the equation, we can conclude that the relationship between x and y is proportional, with a constant of proportionality equal to 3.

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For the polynomials p(x) = 1 - x + 4x² and q(x) = x - x², (p, q) = 10, ||p|| = √18, ||a|| = √18, and d(p, q) cannot be determined. For the vectors u = (0, 2, 3) and v = (2, 3, 0), (u, v) = 6, ||u|| = √13, ||v|| = √13, and d(u, v) cannot be determined.

In the first scenario, we have p(x) = 1 - x + 4x² and q(x) = x - x². To find (p, q), we substitute the coefficients of p and q into the inner product formula:

(p, q) = (1)(0) + (-1)(2) + (4)(3) = 0 - 2 + 12 = 10.

To calculate ||p||, we use the formula ||p|| = √((p, p)), substituting the coefficients of p:

||p|| = √((1)(1) + (-1)(-1) + (4)(4)) = √(1 + 1 + 16) = √18.

For ||a||, we can use the same formula but with the coefficients of a:

||a|| = √((1)(1) + (-1)(-1) + (4)(4)) = √18.

Lastly, d(p, q) represents the distance between p and q, which can be calculated as d(p, q) = ||p - q||. However, the formula for this distance is not provided, so it cannot be determined. Moving on to the second scenario, we have u = (0, 2, 3) and v = (2, 3, 0). To find (u, v), we use the given inner product formula:

(u, v) = (0)(2) + (2)(3) + (3)(0) = 0 + 6 + 0 = 6.

To find ||u||, we use the formula ||u|| = √((u, u)), substituting the coefficients of u:

||u|| = √((0)(0) + (2)(2) + (3)(3)) = √(0 + 4 + 9) = √13.

Similarly, for ||v||, we use the formula with the coefficients of v:

||v|| = √((2)(2) + (3)(3) + (0)(0)) = √(4 + 9 + 0) = √13.

Unfortunately, the formula for d(u, v) is not provided, so we cannot determine the distance between u and v.

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Answer:

84

Step-by-step explanation:

37 + 47 = 84

Answer:

10

Step-by-step explanation:

47-37=10

Answer:

5.8 = \(5\frac{4}{5}\)

4.5 = \(4\frac{1}{2}\)

9.2 = \(9\frac{1}{5}\)

1. An exponential function to represent the spread of Ben's social media post is \(f(x) = 2(3)^x\)

2. An exponential function to represent the spread of Carter's social media post is \(f(x) = 10(2)^x\)

3. A graph of each function with three points for each curve is shown below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

Based on the table of values, the initial value is 2. Next, we would determine the common ratio (b) as follows;

Common ratio, b = a₂/a₁

Common ratio, b = 6/2 = 3.

Therefore, the required exponential function is given by;

\(f(x) = 2(3)^x\)

Part 2.

For Carter's social media post, we have the following exponential function:

\(f(x) = a(b)^x\\\\f(x) = 10(2)^x\)

Part 3.

In this scenario and exercise, we would use an online graphing calculator to plot the above exponential functions as shown in the graph attached below.

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In Utah, if not directly involved in diving activity, motorized vessels and personal watercraft (PWCs) must remain 150 feet from the diver down flags.

The diver down flag is a banner that is used by vessels to indicate that divers are in the water. It is typically a red flag with a white diagonal stripe that is used to indicate the presence of divers in the water. The flag must be at least 12 x 12 inches in size and must be clearly visible from all directions. When the flag is raised, boaters are expected to keep a safe distance from the divers and to take extra precautions to ensure that they do not pose a hazard to the divers.The diver down flag should be used whenever there are divers in the water. This includes scuba divers, free divers, and anyone else who is swimming or diving underwater. The flag should be raised before the divers enter the water and should be lowered when they exit the water. In addition to the flag, divers are required to use other means of indicating their presence in the water, such as lights and audible signals, to ensure that boaters can see and hear them. Motorized vessels and personal watercraft (PWCs) must remain at least 150 feet from the diver-down flag. This means that they must keep a safe distance from the divers and take extra precautions to ensure that they do not pose a hazard to the divers. If a motorized vessel or PWC is directly involved in the diving activity, such as transporting divers to and from the dive site, they may operate closer to the flag, but they must still maintain a safe distance from the divers at all times.

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Answer:

see below

Step-by-step explanation:

1/2 = q + 2/3

Subtract 2/3 from each side

1/2 -2/3 = q+2/3-2/3

Getting a common denominator of 6

3/6 - 4/6 = q

-1/6 =q

p - 3 1/6 = -18.73

Add 3 1/6 to each side

p - 3 1/6 + 3 1/6 = -18.73 + 3 1/6

p = -18 73/100 + 19/6

Get a common denominator

p =- 5619/300 + 950/300

  = -4669/300

=-15 169/300

Answer:

Yes, (0, 1) is the solution of the given inequality.

Step-by-step explanation:

To find whether the given ordered pair is a solution of the linear inequality, we will satisfy the inequality with the coordinates of the ordered pair.

If the inequality is true for the ordered pair it will be the solution.

Inequality is,

y > x - 1

For (0, 1),

1 > 0 - 1

1 > -1

True.

Therefore, ordered pair (0, 1) is the solution of the given inequality.

The relative frequency of responders who chose the vegetarian meal is 0.5, or 50%.

The concept used in this problem is relative frequency, which is a measure of the number of times an event occurs in a data set, expressed as a fraction of the total number of events.

The relative frequency is a useful tool for summarizing and understanding the distribution of data, and provides a way to compare the relative frequencies of different events in a data set.

To create a relative frequency distribution in Excel, you would first create a table with the four meal options (chicken, fish, steak, and vegetarian) and count the number of times each option was selected. The relative frequency is calculated as the count of each meal option divided by the total number of responses (20 in this case).

Here is the frequency distribution as :

Meal Option → Frequency → Relative Frequency

Chicken → 6 → 0.3 (6/20)

Fish → 2 → 0.1 (2/20)

Steak → 2→ 0.1 (2/20)

Vegetarian →  10 → 0.5 (10/20)

Thus, the relative frequency of responders who chose the vegetarian meal is 0.5, or 50%.

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The relative frequency of responders who chose the vegetarian meal is 0.5, or 50%.

The concept used in this problem is relative frequency, which is a measure of the number of times an event occurs in a data set, expressed as a fraction of the total number of events.

The relative frequency is a useful tool for summarizing and understanding the distribution of data and provides a way to compare the relative frequencies of different events in a data set.

To create a relative frequency distribution in Excel, you would first create a table with the four meal options (chicken, fish, steak, and vegetarian) and count the number of times each option was selected. The relative frequency is calculated as the count of each meal option divided by the total number of responses (20 in this case).

Here is the frequency distribution as :

Meal Option → Frequency → Relative Frequency

Chicken → 6 → 0.3 (6/20)

Fish → 2 → 0.1 (2/20)

Steak → 2→ 0.1 (2/20)

Vegetarian →  10 → 0.5 (10/20)

Thus, the relative frequency of responders who chose the vegetarian meal is 0.5, or 50%.

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Answer:

y= 2/3x + 2

Step-by-step explanation:

I used desmos to find it, guesstimated a number and it worked <3

Answer:

The number of liters needed to complete a 174 km trip is 11.35 L

Step-by-step explanation:

The given information are;

The gas efficiency of the car = 36.0 mi/gal

The distance of the trip = 174 km

The conversions factor is 1 gal = 3.78 L and 1 km = 0.6214 mi,

Therefore, 36 mi/gal = 36 mi/gal × 1/0.6214 km/mi × 1/3.78 gal/L ≈ 15.33 km/L

The gas efficiency of the car, 36.0 mi/gal, in km/L ≈ 15.33 km/L

The number of liters, L, needed to complete a 174 km trip is given as follows;

L = (The distance the car is to complete)/(The fuel efficiency of the car)

L = 174 km/(15.33 km/L) ≈ 11.35 L

The number of liters needed to complete a 174 km trip = L = 11.35 L.

Yes, the Mean Value Theorem can be applied to f on the closed interval [a, b] because f is both continuous and differentiable on (a, b).

Yes, the Mean Value Theorem can be applied.

To apply the Mean Value Theorem, a function must meet two criteria on the closed interval [a, b]:
1. Continuous on the closed interval [a, b]
2. Differentiable on the open interval (a, b)

For the function f(x) = 6 - x on the interval [-3, 6]:

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Cartesian equation is\(4y^2 = x\ or\ y^2 = x/4\)We know that the polar equation of the form \(r = f(\Theta)\)can be obtained by converting the Cartesian equation x = g(y) into polar coordinates.

To convert the equation, \(x = 4y^2\) into polar coordinates, we need to replace x and y with their respective polar coordinates.

We know that \(x = r\ cos\ \Theta\) and \(y = r\ sin\ \Theta\), where r is the radial distance and θ is the polar angle.

So, the Cartesian equation can be expressed as follows:\(4(r\ sin\ \theta)^2 = r\ sin\ \theta\⇒\\\ 4r^2 sin^2 \theta = r\ cos\ \theta\⇒ \\r = 4\ cos\ \theta sin^2 \theta\)

Therefore, the polar equation for the curve represented by the given Cartesian equation is \(r = 4\ cos\ \theta\ sin^2\ \theta\).The polar equation for the curve represented by the given Cartesian equation \(x = 4y^2\ is\ r = 4\ cos\ \theta\ sin\ \theta\).

To convert the given Cartesian equation\(r = 4 \cos\ \theta \sin^2 \theta\)\(x = 4y^2\) into polar coordinates, we need to replace x and y with their respective polar coordinates.

Using the equation \(x = r\ cos\ \theta\)and \(y = r\ sin\ \theta\), we get \(4(r\ sin\ \theta)^2 = r\ cos\ \theta\), which simplifies to \(r = 4\ cos\ \theta \sin^2 \theta\).

Hence, the polar equation for the curve represented by the given Cartesian equation is r = 4 cos θ sin² θ.

Therefore, the polar equation for the given Cartesian equation \(x = 4y^2\)is \(r = 4\ cos \ \theta\ sin^2 \theta\).

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The transformation is an example of a translation because the figure slides in one direction, but does not flip, turn, or change size.

Now, According to the question:

Type of Transformation:

There are four types of transformation in geometry, namely translation, reflection, rotation, and dilation. In translation, it slides the figure in any direction while in reflection, it flips the figure over a point or a line. Also, in rotation the figure turns, while in dilation the figure is either enlarged or reduced.

The type of transformation can be defined as moving a figure to a new location, without any change in the figure's size or shape being called translation. In translation, the figure merely slides or moves in the same direction and distance.

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In this case, adjacent angles are such pairs of angles that are alongside each other. Therefore, we can say that the sum of the two adjacent angles forms a bigger angle.

In this case, vertical angles are such angles that are on opposite sides of the intersection between two lines. It is understood that vertically opposite angles are equivalent.

Clearly, we can see that two angles (one angle known as ∠x and the other angle) are alongside each other. Therefore, we can tell the angles are adjacent angles.

As we can see a \(\square\), we can tell that the sum of the measure of ∠x and the other angle is 90°. Therefore, we obtained;

Therefore, the measure of ∠x is 65°.

Clearly, we can see that two angles (one angle known as ∠x and the other angle) are on opposite sides. Therefore, we can tell that the angles are vertically opposite angles.

As stated in part 1ii, vertical angles are equivalent. Since ∠x and the other angles are vertically opposite angles, the measure of ∠x is 128°.

Clearly, we can see that two angles (one angle known as ∠x and the other angle) are alongside each other. Therefore, we can tell the angles are adjacent angles.

Since the line shown, is a straight line, we can tell that the sum of 117 and x is 180. Therefore, we obtain the following equation;

When isolating x, we get;

Therefore, the measure of ∠x is 63°

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Answer:

b

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

If there are 1200 students in the school and 720 of them are boys that means 480 of them are girls.

I like to do cross multiply and divide so the equation for that would be  480/120 = ?/100

if you cross and multiply 480 by 100 you will get 48000 then if you divide that by 1200 you will get 40 as your missing value.

Im basically just saying 480/1200 = 40%

If you need further help there are plenty of you tube videos on how to cross  multiply and divide

Hope this helps

- Please mark brainliest :)

The regular octagon has eight equal sides. Then the area of the regular octagon of side length be 4.6 is 102 ft².

It is a polygon that has eight equal sides. In a regular octagon, the opposite sides are parallel. And its diagonals are also equal and intersect at mid-point.

Given

A regular octagon has a radius of 6 ft and a side length of 4.6 ft.

We know the formula for the regular octagon.

Area of the regular octagon = 2(1 + \(\sqrt{2}\)) a²

Where a be the side of a regular octagon.

Then the area of the regular octagon will be.

\(\rm Area = 2 (1+\sqrt{2} ) a^2\\\\Area = 2*(1 + 1.414) *4.6^2\\\\Area = 2 * (2.414)* 21.16\\\\Area = 102.16\)

Thus, the area of the regular octagon of side length be 4.6 is 102 ft².

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The equation to model the given situation is 120 - 4.5t= 75 and the solution to the equation is 10 minutes.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation.

The balloon will reach an altitude of 75 meters above the ground.

Now, 120-75 =45 meters

Let t be the time to descends 45 meters

So, 120 - 4.5t= 75

= -4.5 t = 75-120

= -4.5t = -45

= t = -45/(-4.5)

= t = 10 minutes

Hence, the equation to model the given situation is 120 - 4.5t= 75 and the solution to the equation is 10 minutes.

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Answer:

The answer is 25% please brilliant please

Answer:

1.20 per song

Step-by-step explanation:

Its quite simple. just take 6 divided by 5

Answer:

\(x = \sqrt{ {28.46}^{2} - {27}^{2} } = \sqrt{80.9716} = 9.00\)