4/16 in reduced fraction ​

Answer: Median: 10

Step-by-step explanation:

Answer: 10

Step-by-step explanation: First you place the numbers in order from least to greatest (5,5,7,9,11,12,16,23) then you take away one from each side at a time so 5,23 then 5,16 etc. you end up with 9 and 11 left so you find the middle of 9 and 11 which is 10.

Answer:

5 cups

Step-by-step explanation:

Answer:

1/2 : 1

2 : 4

3 : 6

Notice that every ratio consists of a number and double the number.

For 1/2 cup lemon juice, use 1 cup sugar.

The amount of sugar is twice the amount of lemon juice.

The ratio is 1:2

Since you are told the ratio is 1:r, that means r is 2.

The unit rate is 2 cups sugar per cup of lemon juice.

Step-by-step explanation:

Given distance=360 km.

Let the speed of the train be x km/hr.

Speed when increased by 5 km/hr =(x+5) km/hr

x

360

−

(x+5)

360

=1

x(x+5)

[360x+1800−360x]

=1

x

2

+5x−1800=0

x

2

+45x−40x−1800=0

x(x+45)−40(x+45)=0

(x−40)(x+45)=0

x=40,−45

The speed of the train is 40 km/hr.

As the population (t) grows, the probability of no birthday collision reduces. This is due to the fact that as the population grows, the likelihood of two or more people having the same birthday rises.

The probability of no birthday collision among t people can be computed using the formula:

P(no collision) = 1 x (364/365) x (363/365) x ... x [(365-t+1)/365]

For t = 10, we have:

P(no collision) = 1 x (364/365) x (363/365) x ... x (356/365)
P(no collision) = 0.883
Therefore, the probability of no birthday collision among 10 people is 0.883 or approximately 88.3%.

For t = 25, we have:

P(no collision) = 1 x (364/365) x (363/365) x ... x (341/365)
P(no collision) = 0.568
Therefore, the probability of no birthday collision among 25 people is 0.568 or approximately 56.8%.

For t = 40, we have:

P(no collision) = 1 x (364/365) x (363/365) x ... x (326/365)
P(no collision) = 0.108
Therefore, the probability of no birthday collision among 40 people is 0.108 or approximately 10.8%.

In general, the probability of no birthday collision decreases as the number of people (t) increases. This is because the likelihood of two or more people sharing the same birthday increases as the number of people increases.

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Answer:

It should take about 4.75 min.

Step-by-step explanation:

Hope this helps and could you mark me as the brainliest

Answer:

i think it is 120

Step-by-step explanation:

Considering the definition of an equation and the way to solve it, Hailey's age is 18 years.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.

To solve an equation, keep in mind:

Being "x" the age of the youngest child, then you have:

On the other hand, you know that the sum of their ages is 66. Then, the equation is:

x + x + 1 + x + 2 + x + 3 = 66

Solving:

4x + 6 = 66

4x = 66 - 6

4x = 60

x= 60 ÷ 4

x= 15

Remembering that "x + 3" is Hailey's age, then her age is calculated as: x+3= 15 +3= 18

Finally, Hailey's age is 18 years.

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Answer:

We know that the total number of coins is 17.

N of the coins are nickels, and the rest of the coins are dimes.

Then the number of dimes is given by the difference between the total number of coins and the number of nickels, thus, there are:

17 - N dimes.

Each nickel has a value of $0.05

each dime has a value of $0.10

Then if you have N nickels and (17 - N) dimes, the total amount of money that you have is:

$0.05*N + (17 - N)*$0.10

This is the first expression, the second one comes if we simplify this.

First, we expand the second term:

$0.05*N + 17*$0.10 - N*$0.10

Now we can take the common factor N to get:

N*($0.05 - $0.10) + $1.70 = $1.70 - $0.05*N

$1.70 - $0.05*N is the simplified expression.

On solving the provided question, we can say that - there are 120 distinct pizza topping combinations that may be created if the maximum number of toppings is 3.

Regardless of the sequence in which the items were chosen, a mathematical approach known as a combination may be used to calculate the number of alternative arrangements within a collection of objects. Any order can be chosen by a combination. Combinations in mathematics are ways to choose elements from a collection, and the order in which they are chosen is irrelevant. Let's say we have a trio of numbers: P, Q, and R. The amount of possible combinations for two integers from each set is determined by combinations.

Given: Six toppings in all.

There are three toppings to choose from.

Additionally, if topping repetition is prohibited, the number of viable combinations is equal to 6 × 5 x 4. [We select one out of six first, then one out of the remaining five, then one out of four, and finally we multiply the options for three toppings]

= 120

As a result, there are 120 distinct pizza topping combinations that may be created if the maximum number of toppings is 3.

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Answer:

You will have $5,792 in your account by your high school graduation

Step-by-step explanation:

Simple Interest

Interest calculated on the original principal only of a loan or on the balance of an account.

Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=P.r.t

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

The parents invested P = $5,000 in CD account that pays r=0.88% annual interest rate. The rate must be converted to decimal, thus r=0.88/100 =0.0088.

We are required to calculate the total money in the account after t=18 years.

First, we calculate the interest:

I = $5,000 * 0.0088 * 18

I = $792

Adding interest to the principal, we have the future balance in the account:

A = $5,000 + $792 = $5,792

You will have $5,792 in your account by your high school graduation

Answer:

$5,909.50

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 4.2/100

r = 0.042 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 5,000.00(1 + 0.042/4)(4)(4)

A = 5,000.00(1 + 0.0105)(16)

A = $5,909.50

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 4.2% per year compounded 4 times per year over 4 years is $5,909.50.

The length of MN if ABC~LMN would be 11 unit.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Given that the side lengths of two similar triangles are always proportional.

Given that ∆ABC ~ ∆LMN, therefore:

AB = 10

LM = 5

MN = x + 4

BC= 3x + 1

Plug in the values

AB / LM = BC/ MN

Cross multiply

10/ 5 = (3x + 1)/(x + 4)

2 (x + 4) = (3x + 1)

2x + 8 = 3x + 1

x = 7

MN = x + 4 = 11

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Answer:

4 can go into 9 twice with 1 left over

Twice=2

2 wholes

1 leftover out of 4

2 1/4

It’s B

Step-by-step explanation:

hope this helps

The likelihood function for a Poisson distribution with one observed data point x1 and parameter λ is given by: L(λ) = λ^x1 * e^(-λ) / x1!

The likelihood function is a measure of how likely a given set of parameters (in this case, λ) can explain the observed data. In the case of the Poisson distribution, the likelihood function can be calculated by substituting the observed data into the probability mass function (PMF) of the Poisson distribution.

Let's assume we have one observed data point, denoted as x1, and x1 follows a Poisson distribution with parameter λ. The likelihood function, denoted as L(λ), can be calculated as follows:

L(λ) = P(x1) = λ^x1 * e^(-λ) / x1!

Here, λ is the parameter of the Poisson distribution, x1 is the observed data point, and P(x1) represents the probability of observing x1 given the parameter λ.

Therefore, the likelihood function given λ for one observed data point x1 follows a Poisson distribution is:

L(λ) = λ^x1 * e^(-λ) / x1!

Please note that if you have multiple observed data points, you would multiply the probabilities for each data point to obtain the likelihood function.

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It takes a train going 50 mph approximately 11/2 miles to stop safely.

The distance a train takes to come to a stop can be determined by several factors, including the speed of the train, the weight of the train, the condition of the brakes and the track, and the reaction time of the engineer.

In general, a train going 50 mph will take about 1 1/2 miles or 8,000 feet to stop safely. This is because a train moving at 50 mph is traveling at about 75 feet per second, and it takes a significant distance to slow down a heavy object moving at such a high speed. It's important to note that this is an estimation, and the actual stopping distance may vary depending on the specific conditions.

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The probability that neither of the two individuals has some college or a college degree is (1 - P(college))^2.

To calculate the probability that at least one of the two individuals chosen at random from the population will have some college or a college degree, we need to consider the complement of the event, which is the probability that none of the individuals have a college degree.

Let's assume that the population size is N, and the number of individuals with a college degree is C. The probability that an individual does not have a college degree is (N - C) / N.

When choosing the first individual, the probability that they do not have a college degree is (N - C) / N.

When choosing the second individual, the probability that they do not have a college degree is also (N - C) / N.

Since these events are independent, we can multiply the probabilities together:

P(no college degree for either individual) = (N - C) / N * (N - C) / N = (N - C)² / N².

Now, to find the probability that at least one of the individuals has a college degree, we subtract the probability of none of them having a college degree from 1:

P(at least one with a college degree) = 1 - P(no college degree for either individual) = 1 - (N - C)² / N².

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To produce `samplematrix = [1, 4, 7, 5, 8, 3, 6, 9]` with the command `samplematrix([n]) = [ ]`, the value of `n` should be 2.

To produce `samplematrix = [1, 4, 7, 5, 8, 3, 6, 9]` with the command `samplematrix([n]) = [ ]`, the value of `n` should be 2. Here's the explanation: Given `samplematrix=[1, 2, 3; 4, 5, 6; 7, 8, 9]`, the command `samplematrix([n]) = [ ]` would remove the nth row from the matrix and leave an empty row in its place.

For example, if `n = 2`, then the command `samplematrix([n]) = [ ]` would remove the second row and leave an empty row in its place.

The resulting matrix would be:`samplematrix = [1, 2, 3; ; 7, 8, 9]`

Notice that there is an empty row in the middle because the second row was removed.

Next, to produce the desired matrix `samplematrix = [1, 4, 7, 5, 8, 3, 6, 9]`, we need to concatenate the rows of the modified `samplematrix` matrix in a specific order. The order is the first row, then the third row, and finally the second row. So, we can use the following code to achieve this:

result = [samplematrix(1,:); samplematrix(3,:); samplematrix(2,:)]

The resulting `result` matrix would be:`result = [1, 2, 3; 7, 8, 9; 4, 5, 6]`

We can then use the colon operator to reshape the matrix into a row vector, like this:`samplematrix = result(:)'`The resulting `samplematrix` vector would be:`samplematrix = [1, 4, 7, 5, 8, 3, 6, 9]`

Therefore, to produce `samplematrix = [1, 4, 7, 5, 8, 3, 6, 9]` with the command `samplematrix([n]) = [ ]`, the value of `n` should be 2.

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An equilibrium phase diagram can be used to determine phase transitions, phase presence, and phase compositions at different conditions.

An equilibrium phase diagram can be used to determine the below mentioned parameters:

A) It can determine where phase transitions will occur. Phase transitions refer to changes in the state or phase of a substance, such as solid to liquid (melting) or liquid to gas (vaporization). The phase diagram provides information about the conditions at which these transitions take place, such as temperature and pressure.

B) It can determine what phases will be present for each condition of chemistry and temperature. The phase diagram shows the different phases or states of a substance (such as solid, liquid, or gas) under different combinations of temperature and pressure. It provides a visual representation of the stability regions for each phase, indicating which phase(s) will be present at a given temperature and pressure.

C) It can determine the chemistry and amount of each phase present at any condition. The phase diagram gives information about the composition (chemistry) and proportions (amount) of different phases present under specific conditions. It helps identify the coexistence regions of multiple phases and provides insight into the equilibrium compositions of each phase at various temperature and pressure conditions.

In summary, an equilibrium phase diagram is a valuable tool in understanding the behavior of substances and can provide information about phase transitions, phase stability, and the chemistry and amounts of phases present at different conditions.

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Answer:

5

Step-by-step explanation:

20/5 = 5/1

so the answer is c

Answer:

The answer is 5

Step-by-step explanation:

on edge 2021

To express the integral e f(x, y, z) dv as an iterated integral in six different ways, where e is the solid bounded by the given surfaces, we need to determine the limits of integration for each variable. Let's assume that the solid e is bounded by the surfaces g1(x,y,z), g2(x,y,z), h1(x,y,z), and h2(x,y,z).

The first way to express the integral is by integrating with respect to x first, then y, then z:
∫∫∫e f(x, y, z) dv = ∫h1(z)h2(z) ∫g1(y,z)x ∫g2(y,z)x f(x,y,z) dx dy dz

The second way is by integrating with respect to y first, then x, then z:
∫∫∫e f(x, y, z) dv = ∫g1(x)g2(x) ∫h1(z)y ∫h2(z)y f(x,y,z) dy dx dz

The third way is by integrating with respect to z first, then x, then y:
∫∫∫e f(x, y, z) dv = ∫g1(x)g2(x) ∫h1(y)x ∫h2(y)x f(x,y,z) dz dx dy

The fourth way is by integrating with respect to x first, then z, then y:
∫∫∫e f(x, y, z) dv = ∫g1(y)g2(y) ∫h1(z)y ∫h2(z)y f(x,y,z) dx dz dy

The fifth way is by integrating with respect to y first, then z, then x:
∫∫∫e f(x, y, z) dv = ∫h1(x)h2(x) ∫g1(z)x ∫g2(z)x f(x,y,z) dy dz dx

The sixth way is by integrating with respect to z first, then y, then x:
∫∫∫e f(x, y, z) dv = ∫h1(x)h2(x) ∫g1(y)z ∫g2(y)z f(x,y,z) dz dy dx

In all six ways, the limits of integration are determined by the bounding surfaces of the solid e. By integrating iteratively with respect to each variable, we can find the volume of the solid e.
The solid E is bounded by the given surfaces.

Here are the six different ways to express the integral as an iterated integral:

1.

dx dy dz order:
∫∫∫_E f(x, y, z) dx dy dz

2.

dx dz dy order:
∫∫∫_E f(x, y, z) dx dz dy

3.

dy dx dz order:
∫∫∫_E f(x, y, z) dy dx dz

4.

dy dz dx order:
∫∫∫_E f(x, y, z) dy dz dx

5.

dz dx dy order:
∫∫∫_E f(x, y, z) dz dx dy

6.

dz dy dx order:
∫∫∫_E f(x, y, z) dz dy dx

Each of these six ways represents a different order of integrating the function f(x, y, z) over the solid E, which is bounded by the given surfaces. The choice of the order of integration depends on the specific problem and the boundaries of the solid E. When solving a problem, you should carefully analyze the given surfaces and choose the most suitable order of integration to make the calculations easier.

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based on the given sample data, there is evidence to suggest that the true population mean number of hours worked per week for white-collar employees is more than 40 hours.

To determine if there is evidence to suggest that the true population mean number of hours worked per week is more than 40 hours, we can conduct a hypothesis test. We'll use a one-sample t-test since the population standard deviation is unknown, and the sample size is small (n = 25).

Let's set up the null and alternative hypotheses:

Null hypothesis (H0): The true population mean number of hours worked per week is 40 hours or less.

Alternative hypothesis (Ha): The true population mean number of hours worked per week is more than 40 hours.

We'll use a significance level (alpha) of 0.05.

Next, we calculate the test statistic (t-value) using the sample mean, sample standard deviation, sample size, and the hypothesized population mean (40 hours) under the null hypothesis:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

t = (44 - 40) / (8 / sqrt(25))

t = 4 / (8 / 5)

t = 2.5

We then compare the calculated t-value with the critical t-value from the t-distribution table at the given significance level and degrees of freedom (n - 1). With 24 degrees of freedom, a one-tailed test, and a significance level of 0.05, the critical t-value is approximately 1.711.

Since the calculated t-value (2.5) is greater than the critical t-value (1.711), we can reject the null hypothesis. There is evidence to suggest that the true population mean number of hours worked per week is more than 40 hours.

In conclusion, based on the given sample data, there is evidence to suggest that the true population mean number of hours worked per week for white-collar employees is more than 40 hours.

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The area of the regular polygon is  \(49\sqrt3\) square unit.

What is area?

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Here the given triangle ,

Apothem a = \(\frac{7\sqrt3}{3}\)

Now side length s = \(2\sqrt3 a\)

=> side length s = \(2\sqrt3\times \frac{7\sqrt3}{3} = \frac{14\times3}{3}\) = 14

Now area of equilateral triangle A = \(\frac{\sqrt3 s^2}{4}\) square unit.

=> A = \(\frac{\sqrt3\times14^2}{4}\) = \(49\sqrt3\) square unit.

Hence the area of the regular polygon is  \(49\sqrt3\) square unit.

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Answer:

= 6

Step-by-step explanation:

= 3 (-6 + 8)

= (3 * -6) + (3 * 8)

= -18 + 24

= 6

Answer:

\(x = 12\)

the answer is attached to the picture

hope this helps you.

Brainliest plzz

Answer: raise 2 to the number of days, and then multiply this  value by 3.

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Given :

A square of side 18 cm.

To Find :

Angle V on the square.

Solution :

This problem can be done easily without using pen and paper but we need to know the property of diagonal of square given below :

The diagonals of the square bisect each other at 90°.

This will hold true for any right angle triangle.

Therefore, the angle V on the square is 90°.

The ability to order items in a sequence, such as longest to shortest, is known as Seriation.

Seriation is a cognitive skill that involves arranging objects, events, or ideas in a particular order or sequence. It is a crucial aspect of cognitive development and is typically acquired during early childhood. Seriation is the ability to mentally order objects along a quantitative dimension, such as size, weight, or length.

Seriation involves comparing and ordering items based on specific criteria. For example, if given a group of objects of different lengths, a child who has developed seriation skills will be able to arrange the objects in order from shortest to longest. Similarly, if given a group of numbers, a child who has developed seriation skills will be able to arrange them in order from smallest to largest.

Seriation is an important cognitive skill that is used in various areas of life, including academic, professional, and personal domains. It allows individuals to organize information and ideas in a logical and meaningful way, which can facilitate more efficient processing and understanding of complex concepts.

Overall, seriation is a fundamental cognitive skill that plays a crucial role in various aspects of life, including problem-solving, decision-making, and organization. It is an essential skill that supports the development of higher-order thinking skills, such as analysis, evaluation, and synthesis.

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Answer:

The answer is A

Step-by-step explanation:

(2*38)=76

(2*2)=4