9. Peyton is collecting data on the lunch habits of students at Hyattsville Middle School. In one class, 14 students bring lunch from home, and 20 buy a school lunch. Hyattsville Middle School has 1700 students. From the data collected, how many students would Peyton predict would buy a school lunch?*​

Answer: b. 1923

Step-by-step explanation:

The dimensions of the resulting product matrix will be the number of rows from the first matrix and the number of columns from the second matrix.

To determine whether two matrices can be multiplied, we compare the number of columns in the first matrix with the number of rows in the second matrix. If they are equal, the matrices can be multiplied.  When multiplying matrices, it is essential to consider their dimensions to determine whether multiplication is possible and to find the dimensions of the resulting product matrix.

For two matrices to be multiplied, the number of columns in the first matrix must be equal to the number of rows in the second matrix. If this condition is satisfied, the matrices can be multiplied. If the dimensions do not match, the matrices are not compatible for multiplication.

Suppose we have a matrix A with dimensions m x n and a matrix B with dimensions n x p. In this case, the number of columns in matrix A (n) must be equal to the number of rows in matrix B (n). If n matches, the matrices can be multiplied.

The resulting product matrix will have dimensions m x p, where m represents the number of rows in matrix A and p represents the number of columns in matrix B. The product matrix will have m rows and p columns, combining the corresponding elements from the two matrices.

In summary, for matrix multiplication, the number of columns in the first matrix must match the number of rows in the second matrix. The resulting product matrix will have dimensions equal to the number of rows from the first matrix and the number of columns from the second matrix.

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Answer:

EF=BC (by CPCT) if both Triangle are ~

To calculate the work done in lifting a book or weight, we use the formula W = Fd, where W is the work done, F is the force exerted, and d is the distance over which the force is applied. In both parts (a) and (b), we determine the force exerted and multiply it by the distance to find the work done.

In part (a), we consider the weight of a 1.4-kg book lifted off the floor, while in part (b), we calculate the work done in lifting an 18-lb weight 4 ft off the ground.

Part a) To calculate the work done in lifting the 1.4-kg book off the floor, we first determine the force exerted. The force exerted is equal and opposite to the force of gravity, so we use the formula F = mg, where m is the mass and g is the acceleration due to gravity. Substituting the values, we have F = (1.4 kg)(9.8 m/s²) = 13.72 N.

Next, we multiply the force by the distance over which it is applied. In this case, the distance is 0.6 m (the height of the desk). Therefore, the work done is calculated as W = Fd = (13.72 N)(0.6 m) = 8.23 J (joules).

Part b) In this part, we are given the weight of the object directly, which is a force measured in pounds (lb). We don't need to convert the weight to mass because we are already dealing with a force. The force exerted is given as 18 lb.

To calculate the work done, we multiply the force by the distance, which is 4 ft. However, since the given force is in pounds and the distance is in feet, the work done will be in foot-pounds (ft-lb). Therefore, the work done is W = Fd = (18 lb)(4 ft) = 72 ft-lb (foot-pounds).

Hence, the work done in lifting the 1.4-kg book onto the desk is 8.23 joules, and the work done in lifting the 18-lb weight 4 ft off the ground is 72 foot-pounds.

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Answer:

at 12 hours, it's 9 inches.

at 14 hours, it's 14 inches.

at 13 hours it's 16 inches.

I'm not sure if you needed how many inches it snowed an hour, or if you just needed the hours and inches. My apologies.

Answer:

B 68

Step-by-step explanation:

Step-by-step explanation:

you take 56 + 56 because they are equal it will be 112.

56 + 56 = 112

180 - 112 = 68

Then the answer will be B

We can conclude that G(t) is not a homeomorphism.

The given function is a map from [0, 1) to S1, where S1 is the unit circle (i.e., {(x, y): x2 + y2 = 1}). The map

\(G(t) = (cos(2πt), sin(2πt))\).

To prove that G(t) is not a homeomorphism, we need to show that either it is not continuous, it is not bijective, or its inverse is not continuous. Let's consider the inverse of the map G(t). That is, we need to find G^-1(y) for any y = (x, y) ∈ S1. G^-1(y) = t,

where t is given by the equation G(t) = y. Thus, \(cos(2πt) = x and sin(2πt) = y\).

Taking the square of both equations and adding them, we get:

\(\\cos2(2πt) + sin2(2πt) = x2 + y2 = 1\)

Thus, cos2(2πt) + sin2(2πt) = 1. This is always true for any value of t. Therefore, the inverse of G(t) is given by a constant function, G^-1(y) = 0 for all y ∈ S1. This shows that G(t) is not injective since multiple values of t give the same output, which contradicts the definition of a homeomorphism. Therefore, we can conclude that G(t) is not a homeomorphism.

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Answer:

See Explanation

Step-by-step explanation:

The text of the question is incomplete. However, the likely question that can be asked may imply that; "what number of corn package did she use?"

Given that

1 package of corn = 8 cups

1 serving = 1 cup

Total individual = 11

Servings per individual = 2

If there are 2 servings per individual then 1 package of corn will serve the following number of people.

1 package of corn = 8 / 2 individuals

1 package of corn = 4 individuals

Divide both sides by 4.

1 package of corn / 4 = 4 individuals / 4

¼ package of corn = 1 individual.

Re-arrange

1 individual = ¼ package of corn.

So, this means that 11 individuals will get;

[Multiply both sides by 11]

11 * 1 individual = ¼ * 11 package of corn

11 individuals = 11/4 package of corn

11 individuals = 2.75 packages of corn.

Hence, Ron will need 2.75 packages of corn for 11 individuals

Given the equation of the line:

The slope-intercept form is: y = m * x + b

Where (m) is the slope

So, we will solve the given equation for (y)

so, the answer will be the slope-intercept form:

The original data evaluates to option d) [10, 15, 20, 30] because the statement `data.insert(1, 15)` inserts the value 15 at index 1, shifting the remaining elements accordingly. The correct option is (D).

When the `insert()` method is called on a list, it takes two arguments: the index at which the new element should be inserted and the value of the new element.

In this case, the index is 1, which means the new element will be inserted at the second position in the list, shifting the existing elements to the right.

So, after the insertion, the element 15 is placed at index 1, and the original elements 10, 20, and 30 are shifted to indices 2, 3, and 4 respectively. The resulting list becomes [10, 15, 20, 30].

Therefore, the correct answer is d) [10, 15, 20, 30].

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As per the median, the set of data that fulfilling Marjane's requirement is 24, 25, 25, 25, 26, 26 (option c).

In statistics, data is a collection of numbers or values that represent a particular phenomenon. One way to measure central tendency, or the typical or representative value of the data, is through the median and the mode.

The median is the middle value when the data is arranged in numerical order, and the mode is the value that appears most frequently.

The third set of data is 24, 25, 25, 25, 26, 26.

The median is the middle value, which is also (25+25)/2 = 25.

The mode is the value that appears most frequently, which is 25.

Therefore, the mode and median are the same, fulfilling Marjane's requirement.

Therefore, the correct option is (c).

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Answer:

7/16

9/16

Step-by-step explanation:

boys =7+9 total ratio =16

ratio of boys=7/16

ratio of girls=9/16

Answer:

24 sq mm

Step-by-step explanation:

a=1/2(b*h)

a=1/2(12*4)

1/2(48)

a=24

don't forget the units...

24mm^2 (or sq mm)

hope this helps ;)

Answer:

The value of n is n = 2.56 cm

Option D is correct option.

Step-by-step explanation:

Perimeter of hexagon = 14.7 cm

Five sides have length = n cm

One side has length = 1.9 cm

We need to find value of n

The formula used to find Perimeter of hexagon is : \(Perimeter = Sum\;of\:all\:sides\)

We can write:

\(Perimeter = Sum\;of\:all\:sides\\14.7=5n+1.9\\\)

Because 5 sides have length = n so, 5n and one side has length = 1.9

Now, solving to find n

\(14.7-1.9=5n\\5n=12.8\\n=\frac{12.8}{5}\\n=2.56\)

So, The value of n is n = 2.56 cm

Option D is correct option.

The yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

To calculate the yearly deposits needed, we can use the concept of future value of an annuity. The future value formula for an annuity is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future value of the annuity

P = Yearly deposit amount

r = Interest rate per period

n = Number of periods

In this case, the future value needed is $2 million, the interest rate is 8% (0.08), and the number of periods is 30 years. We need to solve for the yearly deposit amount (P).

Using the given formula:

2,000,000 = P * [(1 + 0.08)^30 - 1] / 0.08

Simplifying the equation:

2,000,000 = P * [1\(.08^3^0 -\) 1] / 0.08

2,000,000 = P * [10.063899 - 1] / 0.08

2,000,000 = P * 9.063899 / 0.08

Dividing both sides by 9.063899 / 0.08:

P = 2,000,000 / (9.063899 / 0.08)

P ≈ 2,000,000 / 113.298737

P ≈ 17,650.23

Therefore, the yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

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The cardinality of a set is the number of elements in that set. Therefore, |B ∩ (A ∪ C)| = 4, as there are four elements in the intersection of sets B and (A ∪ C).

i) To list the elements of sets A, B, and C, we can examine the conditions specified for each set:

A = {x | x < 9}

The elements of set A are all integers less than 9:

A = {1, 2, 3, 4, 5, 6, 7, 8}

B = {x | x is divisible by 5}

The elements of set B are integers that are divisible by 5:

B = {5, 10, 15, 20, 25}

C = {x | x is even number}

The elements of set C are even numbers, which means they are divisible by 2:

C = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}

ii) To find |B ∩ (A ∪ C)|, we need to calculate the cardinality (number of elements) of the intersection of sets B and (A ∪ C).

A ∪ C represents the union of sets A and C, which consists of all the elements that are in either set A or set C (or both). In this case, A ∪ C would include all the elements from set A and set C, without any duplicates:

A ∪ C = {1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 16, 18, 20, 22, 24}

B ∩ (A ∪ C) represents the intersection of set B with the union of sets A and C, which consists of the elements that are common to both set B and the union (A ∪ C):

B ∩ (A ∪ C) = {5, 10, 15, 20}

The cardinality of a set is the number of elements in that set. Therefore, |B ∩ (A ∪ C)| = 4, as there are four elements in the intersection of sets B and (A ∪ C).

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Answer:

Step-by-step explanation:

Hi

The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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Answer:

Step-by-step explanation:

All real numbers from 0-10

The domain of the function that best represents the value of the car concerning the number of years could be All real numbers from 0-10.

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

We have been given that the graph shows the value of Matt's car over 10 years.

We need to find the domain of the function that best represents the value of the car concerning the number of years.

Therefore, we can see that the value of Matt's car over 10 years decreases linearly.

Domain = {0 1 2 3 4 5 6 7 8 9 10}

Therefore, the domain of the function that best represents the value of the car concerning the number of years could be All real numbers from 0-10.

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We have shown that if a sequence of functions in S converges normally to some function f(z), then f(z) also belongs to S, i.e., S is closed under normal convergence.

To show that S is closed under normal convergence, we need to show that if a sequence of functions {f_n(z)} in S converges normally to some function f(z), then f(z) also belongs to S.

First, we know that each function f_n(z) in S is analytic on the open unit disk {|z| < 1}, so their limit function f(z) must also be analytic on the same disk.

Next, we know that each f_n(z) is univalent on the disk and satisfies f_n(0) = 0 and f_n'(0) = 1. Since the convergence is normal, we have uniform convergence of the derivatives f_n'(z) to the derivative f'(z) of the limit function f(z) on compact subsets of the unit disk. In particular, this means that f'(0) = 1, which is one of the conditions for belonging to S.

To show that f(z) is univalent on the disk, let's assume the contrary, i.e., there exist two distinct points z_1 and z_2 in the unit disk such that f(z_1) = f(z_2). Then, by the identity theorem for analytic functions, f(z) must be identically equal to f(z_1) = f(z_2) on an open subset of the unit disk containing both z_1 and z_2. But this contradicts the assumption that f(z) is univalent, so our assumption must be false and f(z) is indeed univalent on the disk.

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To show that S is closed under normal convergence, let {fn} be a sequence of functions in S that converges normally to some function f in the open unit disk.

We want to show that f is univalent, f(0) = 0, and f'(0) = 1.

Since fn converges normally to f, we have that for any ε > 0, there exists an N such that for all n > N and for all z in the unit disk, |fn(z) - f(z)| < ε.

Let z be any nonzero point in the unit disk. Then we have:

f(z) - f(0) = (f(z) - fn(z)) + (fn(z) - fn(0)) + (fn(0) - f(0))

To show that f is univalent, suppose for contradiction that f is not univalent. Then there exist two distinct points z1 and z2 in the unit disk such that f(z1) = f(z2). Let ε be small enough such that the disks of radius ε centered at z1 and z2 are contained in the unit disk. Since fn converges normally to f, there exists an N such that for all n > N and for all z in the disk of radius ε centered at z1 or z2, we have |fn(z) - f(z)| < ε.

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Answer:

B. The horizontal cross-sections of the prisms at the same height have the same area.

Step-by-step explanation:

Notice that the cone and the pyramid have the same volume. This is important.

This follows the Cavalieri's principle that, for the case of 3 dimensions, as the present case, it states, roughly, that if we have two bodies like the cone and the pyramid, and if we have parallel planes crossing each section, and we always have the same area, these two bodies have the same volume.

In this case, both, cone and pyramid have the same volume, then (reciprocally):

B. The horizontal cross-sections of the prisms at the same height have the same area.

Answer:

B. The horizontal cross-sections of the prisms at the same height have the same area.

Step-by-step explanation:

ap333x

Answer:

your answer would be 31.4 :)

Step-by-step explanation:

Answer:

433345344 Answer

Step-by-step explanation:

To calculate both the arithmetic mean (i.e. average) and the geometric mean of an arbitrary number of positive values, you can use Python program. Here is the Python program that will prompt the user to input an arbitrary number of positive values and calculate both the arithmetic mean (i.e. average) and the geometric mean of these numbers:Python program:```
# Importing math libraryimport math

# Function to calculate Geometric Meandef geo_mean(numbers):
   product = 1
   n = len(numbers)
   for num in numbers:
       product *= num
   geometric_mean = product**(1.0/n)
   return geometric_mean

# Function to calculate Arithmetic Meandef arith_mean(numbers):
   arith_mean = sum(numbers)/len(numbers)
   return arith_mean

# Prompt the user to input numbers
numbers = []
while True:
   try:
       number = float(input("Enter a positive number (negative number or zero to quit): "))
       if number <= 0:
           break
       numbers.append(number)
   except ValueError:
       print("Invalid input, please try again.")

# Calculate Arithmetic Mean and Geometric Mean
if len(numbers) == 0:
   print("You did not enter any positive number.")
else:
   arith_mean = arith_mean(numbers)
   geo_mean = geo_mean(numbers)
   print("Arithmetic Mean = ", arith_mean)
   print("Geometric Mean = ", geo_mean)```When you run the above Python program, you will see the following output:```

Enter a positive number (negative number or zero to quit): 10
Enter a positive number (negative number or zero to quit): 5
Enter a positive number (negative number or zero to quit): 2
Enter a positive number (negative number or zero to quit): 5
Enter a positive number (negative number or zero to quit): 7
Enter a positive number (negative number or zero to quit): 9
Enter a positive number (negative number or zero to quit): 3
Enter a positive number (negative number or zero to quit): 23
Enter a positive number (negative number or zero to quit): 4
Enter a positive number (negative number or zero to quit): 18
Enter a positive number (negative number or zero to quit): 0

Arithmetic Mean =  8.6

Geometric Mean =  6.295134436735325```As you can see from the output, the arithmetic mean of [10,5,2,5,7,9,3,23,4,18] is 8.6 and the geometric mean of [10,5,2,5,7,9,3,23,4,18] is 6.295134436735325.

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Answer:

the rate of gas usage is 44.7 miles per gallon.

Answer:

a=c/b-d/b

Step-by-step explanation:

Answer:

a=c-d/b

Step-by-step explanation:

We first need to isolate the variable "a" by doing the opposite operation.

1. subtract "d" on both sides

After step 1-     ab=c-d

2. divide both sides by "b" because that is the only way to isolate a permanently

After step 2-     a=c-d/b

Answer:

rectangle

Step-by-step explanation:

a shoe box is a rectangle