Ms. Baker makes 9 out of 10 free throws. Mrs. S. Brown makes 10 out out of every 12 free
throws. Who is better at making free throws?

Answer: 9+a^2 if d=10 OR 99 if d does not equal 10

Answer: 47

Step-by-step explanation:

From the recursive rule

\(a_n = a_{n-1}-13\)

it follows that

\(a_{n-1}=a_{n-2}-13 \implies a_n = a_{n-2} - 2\times13\)

\(a_{n-2}=a_{n-3}-13 \implies a_n = a_{n-3} - 3\times13\)

and so on. Notice how the subscript on a on the right side and the coefficient multiplied by 13 add up to n (n - 2 + 2 = n; n - 3 + 3 = n; and so on). If we continue the pattern, we'll end up with

\(a_n = a_1 + (n-1)\times13\)

so that the explicit rule for the n-th term in the sequence is

\(a_n = -2 + 13(n-1) \implies a_n = \boxed{13n-15}\)

Two lines that form a right angle at their point of intersection are perpendicular to each other.

The negative reciprocal is equal to the slope of the perpendicular lines. A transversal line is a line that is perpendicular to two parallel lines. Equal pairs of alternate angles and matching angles are created in the case of the transversal line.

When two lines intersect at a right angle, they are perpendicular to each other. The junction is referred to as the point of perpendicularity. The perpendicular lines form a 90-degree angle, and they can be used to create a coordinate system or used in geometric constructions. Such lines are called perpendicular lines.

Correct Question :

Two lines that form a right angle at their point of intersection are called what?

To learn more about perpendicular here:

https://brainly.com/question/29268451

#SPJ4

The dimensions of the rectangular solid with maximum volume and surface area 13.5 square centimeters are 3 cm by 3 cm by 0.375 cm.

Let's denote the side length of the square base as x, and the height of the rectangular solid as y. Then, the surface area of the rectangular solid can be expressed as:

SA = x^2 + 4xy

And, the volume of the rectangular solid can be expressed as:

V = x^2y

We want to maximize the volume of the rectangular solid subject to the constraint that its surface area is 13.5 square centimeters. This can be expressed as an optimization problem:

Maximize V = x^2y

Subject to SA = x^2 + 4xy = 13.5

We can solve for y in terms of x from the constraint equation:

x^2 + 4xy = 13.5

y = (13.5 - x^2) / 4x

Substituting this expression for y into the formula for V, we get:

V = x^2 (13.5 - x^2) / 4x

V = (13.5 / 4) x^2 - (1 / 4) x^4

To find the maximum volume, we can take the derivative of V with respect to x, and set it equal to zero:

dV/dx = (27/4) x - x^3/4 = 0

27x = x^3

x = 3

So, the maximum volume occurs when x = 3. To find the corresponding height, we can substitute x = 3 into the expression for y:

y = (13.5 - 3^2) / (4 × 3) = 0.375

Therefore, the dimensions of the rectangular solid with maximum volume and surface area 13.5 square centimeters are 3 cm by 3 cm by 0.375 cm.

Learn more about rectangular here:

https://brainly.com/question/21308574

#SPJ11

Answer:

10x -6 +4x & -6 + 14x are equivalent to the algebraic Expression : 2(5x -3) + 4x

Step-by-step explanation:

First, you should Simplify the expression.

2(5x -3) + 4x = 10x -6 +4x <-- Here we distributed. We see this expression is an option, so you would choose that.

We Contiue:

10x -6 + 4x =  -6 + 14x <-- here we added the like terms, 10x and 4 x

Next:

-6x + 14 = -2.3. <-- here we got our answer, but our choices are only expressions, so this is just an extra step.

Answer

-6 + 14x

10x - 6+ 4x

Step-by-step explanation:

Answer and Explaination:
a. To calculate the required seating area for the restaurant, we need to consider the average number of customers per group, the number of groups, and the space required per table.

Given:

Average number of customers per group = 4

Number of groups = 16

Space required per table and surroundings = 5.3 square meters

To calculate the required seating area, we can use the following formula:

Seating area = Number of groups * (Average number of customers per group / 2) * Space required per table

Seating area = 16 * (4 / 2) * 5.3

Seating area = 16 * 2 * 5.3

Seating area = 169.6 square meters

Therefore, the required seating area for the restaurant is approximately 169.6 square meters.

b. To determine the number of stoves required for the restaurant, we need to consider the average cooking time per meal, the number of elements per stove, and the total number of meals.

Given:

Average cooking time per meal = 10 minutes

Number of elements per stove = 4

To calculate the number of stoves, we divide the total cooking time by the average cooking time per stove:

Number of stoves = (Total cooking time) / (Average cooking time per stove)

Total cooking time = Number of groups * (Number of meals per table) * (Average cooking time per meal)

Number of meals per table = 2

Total cooking time = 16 * 2 * 10

Total cooking time = 320 minutes

Number of stoves = 320 minutes / 10 minutes per stove

Number of stoves = 32

Therefore, the restaurant would require 32 stoves.

Answer: t ≈ 2,403,603

Step-by-step explanation:

z = the z-score associated with the desired level of confidence (for a 5% precision, z = 1.96)

σ = the standard deviation of the background count rate (which is equal to the square root of the background count rate)

E = the desired level of precision (in this case, 5% or 0.05)

Substituting the given values, we get:

σ = sqrt(600) = 24.49

t = (1.96 * 24.49 / 0.05)^2

Answer:

3c/2y

Step-by-step explanation:

\(\frac{4c}{3} * \frac{9}{8y} = \frac{c}{3} * \frac{9}{2y} = \frac{c}{1} *\frac{3}{2y } = \frac{3c}{2y}\)

Answer:

Answer: 2:3

Step-by-step explanation:

25/75 beads are square. Thus, 1 out of every 3 beads (1/3) is square. With this information, 2/3 of the beads are round because 1 - 1/3 = 2/3.

This means that the ratio of round to square beads is 2:3.

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

Learn more about Matlab code  here:

https://brainly.com/question/30763780

#SPJ4

Answer:

The expression for the area is;

Explanation:

Given that the length of the rectangle is 3 and the width is (7-4x);

Recall that the area of rectangle can be calculated by multiplying its length by the width.

So, the expression for the area of the given rectangle is;

Therefore, the expression for the area is;

Answer:

B

Step-by-step explanation:

The equation is in slope-intercept form, so the slope is the coefficient of x. Since the coefficient of x is negative, so is the slope.

The line with the equation y = -2/5 x + 3 has a negative slope.

Given equation of the line is,

y = -2/5 x + 3

This is in the slope intercept form.

Slope intercept form of a line is y = mx + c, where m is the slope and c is the y intercept.

Comparing the given equation with slope intercept form,

Slope, m = -2/5, which is negative.

Hence the line has negative slope.

Learn more about Slope here :

https://brainly.com/question/16180119

#SPJ2

The speed of the yacht's is 60km/hr.

Given that the yacht sailed at a steady speed for 0.1 hours and it sailed 6 kilometers in that time.

Speed ​​is defined as the rate at which an object changes position in any direction. Speed ​​is measured as the ratio between distance and time traveled. Speed is a scalar quantity because it has only one direction and no magnitude.

We will find the yacht's speed by using this formula

Speed=Distance/time

Here distance, d=6km and time, t=0.1hr.

S=d/t

S=6km/0.1hr

S=60km/hr

Hence, the speed of yacht when the yacht sailed at a steady speed for 0.1 hours and traveled 6 kilometers in that time is 60km/hr.

Learn more about speed from here brainly.com/question/4931057

#SPJ9

In calculating the mean of this data set  Ashrita did the best job.

The  Mean of the data set is the most commonly used measures of central tendency.

It means the average value of the data set.

one doesn't have to arrange the data in order  for finding it.

The data set value  takes is to add them all together and divide that by the number of the data.

It can be written as

\(,(x_1 + x_2 + x_3 + ..... + x_n) / n\)

Where \(x_1 , x_2 , x_3 , ..... ,x_n\)are the values in the data set

Therefore we can conclude that Ashrita did the best job in calculating the mean of this data set.

To learn more about the mean visit:

https://brainly.com/question/968894

A 95% confidence interval for percent of american adults who believe in aliens:  (0.6578, 0.7822)

In this question we have been given that in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens

We need to find the 95% confidence interval for percent of american adults who believe in aliens.

95% confidence interval = (p ± z√[p(1 - p)/n])

Here, n = 200

p = 72%

p = 0.72

And the z-score for 95% confidence interval is 1.960

The upper limit of interval would be,

(p + z√[p(1 - p)/n])

= 0.72 + 1.960 √[0.72(1 - 0.72)/200]

= 0.72 + 1.960 √[(0.72 * 0.28)/200]

= 0.72 + 1.960 √0.001008

= 0.72 + 0.0622

= 0.7822

The lower limit of interval would be,

(p - z√[p(1 - p)/n])

= 0.72 - 1.960 √[0.72(1 - 0.72)/200]

= 0.72 - 1.960 √[(0.72 * 0.28)/200]

= 0.72 - 1.960 √0.001008

= 0.72 - 0.0622

= 0.6578

Therefore, a 95% confidence interval = (0.6578, 0.7822)

Learn more about 95% confidence interval here:

https://brainly.com/question/15683202

#SPJ4

the given planes are perpendicular to each other.

To determine whether the planes are parallel, perpendicular, or neither, we can examine the normal vectors of the planes.

The given planes can be represented in general form as:

Plane 1: x - y - 8z = 1

Plane 2: 8xy - z = 2

The normal vector of a plane is the coefficients of x, y, and z in the plane's equation.

For Plane 1, the normal vector is [1, -1, -8].

For Plane 2, the normal vector is [0, 8, -1].

Two planes are parallel if their normal vectors are scalar multiples of each other. Two planes are perpendicular if the dot product of their normal vectors is zero.Let's compare the normal vectors:

[1, -1, -8] and [0, 8, -1]

Since the normal vectors are not scalar multiples of each other (none can be multiplied by a constant to obtain the other), the planes are not parallel.

Next, let's calculate the dot product of the normal vectors:

[1, -1, -8] · [0, 8, -1] = (1 * 0) + (-1 * 8) + (-8 * -1) = 0 + (-8) + 8 = 0

Since the dot product of the normal vectors is zero, the planes are perpendicular.

To know more about vectors visit:

brainly.com/question/24256726

#SPJ11

Answer:

a is .028

b is .54

Step-by-step explanation:

Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75. To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms.

For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395

For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266

For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122

To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923

Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

Learn more about probability here: brainly.com/question/32117953

#SPJ11

Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75.

To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms. For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395
For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266
For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122
To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923. Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

Learn more about probability here: brainly.com/question/32117953
#SPJ11

Answer:

4 lb

Step-by-step explanation:

it would most likely be blue because its more

it would be a  57.1429%. of blue

Answer:a

Step-by-step explanation:

Because if you input 5 into -3x as the x axis, that turns in -15, then afterwards, you would add the 5 to -15 which then adds up to -10.

SRQ and SARAH ttttsttetits get t for the candy and I need to do a red ♥️

I cannot tell if that is an multiply sign or a x

Step-by-step explanation:

Answer:

1.2

2.4√3÷3

3. x=45, y=15

Step-by-step explanation:

OK,

1. So the first part requires the Pythagoreanism formula which is: b²=a²+c²:

AC²=AB²+BC²====> AC²=(1)²+(√3)²===> AC²=4===> AC=2

2.The second part requires the formula of tan:

tan A=BC÷AB===> tan A=√3÷1===> tan A=√3

tan C=AB÷BC===> tan C=1÷√3===> tan C=√3/3

tan A+tan C=√3+√3/3===> 4√3÷3

3.And the last part requires the equation of angles:

A+B+C=180===>

x+y+x-y+90=180===> 2x=90===> x=45, y=15

The minimum distance of a linear code can be determined by examining the parity-check matrix H associated with the code. It is equal to the smallest number of linearly-dependent columns in H.

A linear code can be represented by its parity-check matrix H, which describes the linear relationships among the code's codewords. The minimum distance of the code, denoted as d, represents the smallest number of bit positions at which any two distinct codewords differ. In other words, it indicates the minimum number of errors that need to occur for one codeword to be mistakenly decoded as another.

To determine the minimum distance of the code from the parity-check matrix H, we can examine the linearly-dependent columns of H. A set of columns in H is linearly dependent if there exists a non-zero linear combination of these columns that results in the zero column. The minimum distance of the code is then equal to the size of the smallest linearly-dependent set of columns in H.

By identifying the linearly-dependent columns in H and finding the smallest set, we can determine the minimum distance of the linear code. This minimum distance provides important information about the code's error-correcting capabilities, allowing us to assess its ability to detect and correct errors when decoding received codewords.

Learn more about linear codes here: brainly.com/question/29591990
#SPJ11

Applying the trigonometric area formula, the amount of fabric she will need to make all the three triangles is: C. 417 square inches.

The trigonometric area formula is expressed as: Area = 1/2 × ab × sin(C).

Find the area of one of the triangles:

a = 17 in.

b = 17 in.

C = 74°

Area = 1/2 × (17)(17) × sin(74) ≈ 139 sq. in.

Area of the three triangles = 3(139) = 417 square inches.

Learn more about the trigonometric area formula on:

https://brainly.com/question/6279618

#SPJ4

Answer:

417 square inches

Step-by-step explanation:

Got it right on edg

Answer:

answer is attached