what is the most common denomonator out of ⅓ ⅕

Given: Two similar figures are given.

Required: To determine the value of x.

Explanation: The corresponding sides of the similar figures are in equal proportion.

Thus, we can write-

Further solving for x as follows-

Final Answer: The value of x is 7.

The matrix 3 x 8 is a full rank matrix.

Matrix:

Matrix are a set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix.

Full rank matrix:

The rank of a matrix is the maximum number of its linearly independent rows.

Based on that, A full rank matrix is one which has linearly independent rows or/and linearly independent columns.

Given,

There is a matrix, which is 3x8, and 3 columns are linear dependent

Her we need to check whether the matrix is full rank or not.

We know that, the matrix is 3 x 8,

And 3 column are linear dependent,

Based on the following condition,

An  m×n  matrix with  m<n , then it has full rank when its m are linearly independent.

So, the given matrix 3 x 8 is the full rank matrix.

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We use ANOVA to test for differences between population means by examining the amount of variability between the samples relative to the amount of variability within the samples. Hence, it is TRUE

The statistical analysis tool known as analysis of variance (ANOVA) divides the observed aggregate variability present in a data set into two categories: systematic variables and random components. The random factors have no statistical impact on the presented data set, whereas the systematic factors do. The ANOVA test is used by analysts to ascertain how independent factors in a regression analysis affect the dependent variable.

ANOVA basically stands for analysis of the variance.

Hence, according to above statements, given fact is true.

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Gabriella skied for 6 hours, Let x be the number of hours that Gabriella skied. We know that she paid $35 for ski rental and $15 per hour for skiing,

for a total of $95. We can set up the following equation to represent this information:

35 + 15x = 95

Solving for x, we get:

15x = 60

x = 4

Therefore, Gabriella skied for 6 hours.

Here is a more detailed explanation of how to solve the equation:

Subtract $35 from both sides of the equation.

15x = 60

15x - 35 = 60 - 35

15x = 25

Divide both sides of the equation by 15.

15x = 25

x = 25 / 15

x = 4

Therefore, x is equal to 4, which is the number of hours that Gabriella skied.

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a. The probability that in a 3-minute period nobody enters the store is approximately 0.0067 or 0.67%.

b. The probability that in a 3-minute period more than 5 people enter the store is approximately 0.01340 or 1.34%.

The average rate of people entering the store per hour = 100

Use the Poisson distribution,

which is often used to model the number of events occurring in a fixed interval of time or space when the average rate of occurrence is known.

(a) Find the probability that in a 3-minute period nobody enters the store,

First, convert the rate from per hour to per 3 minutes.

Since there are 60 minutes in an hour, there are 20 intervals of 3 minutes in an hour 60/3 = 20

Let λ be the average rate per 3-minute period. λ can be calculated as,

λ = Average rate per hour / Number of intervals in an hour

⇒λ = 100 / 20

⇒λ = 5

Now, use the Poisson distribution formula to find the probability of nobody entering the store in a 3-minute period,

P(X = 0) = \((e^{(-\lambda)\) × λ⁰) / 0!

⇒P(X = 0) = e⁻⁵ × 5⁰ / 0!

⇒P(X = 0) = e⁻⁵) × 1 / 1

⇒P(X = 0) = e⁻⁵

Using a calculator e⁻⁵ is approximately 0.0067379.

(b) The probability that in a given 3-minute period more than 5 people enter the store,

The probability of the complement event, which is the probability of 5 or fewer people entering the store.

Subtract this probability from 1 to find the desired probability.

P(X > 5) = 1 - P(X ≤ 5)

To find P(X ≤ 5), sum up the individual probabilities for X = 0, 1, 2, 3, 4, and 5.

P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

Using the Poisson distribution formula for each value of X, calculate these probabilities.

P(X ≤ 5)

= e⁻⁵ × 5⁰ / 0! + e⁻⁵  × 5¹ / 1! + e⁻⁵  × 5² / 2! + e⁻⁵  × 5³ / 3! + e⁻⁵ × 5⁴ / 4! + e⁻⁵ × 5⁵ / 5!

Using a calculator  the sum of these probabilities is approximately 0.98660.

Probability of more than 5 people enter the store

=  1 - 0.98660

= 0.01340

Therefore, probability that in a  3-minute period no body and more than 5 people enter the store is equal to 0.0067 and 0.01340 respectively.

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Answer:

The radius is given its 10 in

The diameter is 20 in

Step-by-step explanation:

Two find the diameter given the radius you just multiply by 2

10x2=20 therefore the diameter is 20

Hope this helps :)

Answer:

Radius = 10 inches. Diameter = 20 inches

Step-by-step explanation:

Radius is the halfway point in a circle, the line which says 10 inches. While the diameter is the full length across the circle, which would be the radius times itself, 20.  

Hope this helps!

Answer:

I think its 3 20.

Step-by-step explanation:

Answer:

It is showing a slope of 1/4.

Step-by-step explanation:

It is also what a linear equation would look like on a graph.

The series ∑((-1)ⁿ⁺¹/(2n⁴) from n=0 to infinity is converges.

To test the convergence or divergence of the series ∑((-1)ⁿ⁺¹/(2n⁴) from n=0 to infinity, we can use the alternating series test.

The alternating series test states that if a series has the form ∑((-1)ⁿ)bₙ or ∑((-1)ⁿ⁺¹)bₙ.

where bₙ is a positive sequence that converges to zero as n approaches infinity, then the series converges.

We have ∑(-1)ⁿ⁺¹/2n⁴.

Let's analyze the sequence bₙ=1/2n⁴

The sequence bₙ = 1/(2n⁴) is always positive.

As n approaches infinity, 1/(2n⁴) approaches zero.

Therefore, we can apply the alternating series test to our series. T

The alternating series ∑((-1)ⁿ⁺¹/(2n⁴) converges because the sequence bₙ=1/2n⁴ satisfies the conditions of the alternating series test.

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Answer:

I think it will be f= -2/3x-4/3

I think that is correct I wasn't sure what you were looking for

Step-by-step explanation:

Answer:

substrate 13,875 from25,884.

therefore the answer is 12,009

Step-by-step explanation:

10 + 3x = 30 + 7x

collect terms that look alike on one side.

we can see that 3x & 7x have something in common which is x.

so move one of these to either of the equality's sides.

0 = 30 + 7x -10 - 3x

i changed the sign of 3x to -3x & 10 to -10 because we'll have to subtract 3x or 10 from the left side inorder for them to vanish & appear on the right hand side.

collect like terms.

0 = 30 - 10 + 7x - 3x

0 = 20 + 4x

take 20 to the left side to find x by dividing by 4.

20 = 4x

20 / 4 = x

5 = x

The number of persons that would be able to receive the chocolates based on the question is 19

The total number of chocolate = 6 1/2

This can be written to be 13 / 2 or 6.5

The number or amount that she has to give from what is contained in the box to each person is 1/3 = 0.33

Hence to get the number of people that would receive the chocolate we would have

6.5 / 0.33

= 19.5

This can be approximated to 19

Hence the total number that would receive the chocolate is 19

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Based on this graph which shows the revenue, cost, and profit functions of a company, the way in which this company can become profitable is: C. by reducing its costs.

In Mathematics, a profit can be defined as a measure of the amount of money that is generated when the cost price is deducted from the selling price (revenue) of a good or service, which is usually provided by producers.

Mathematically, the profit made by an entrepreneur or business organization can be calculated by using this mathematical expression:

Profit = Revenue - Cost

In this scenario, the most effective and efficient way in which this company can become profitable is simply by reducing (lowering) its costs because it is incurring more cost than the amount of revenue it generates.

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The value of d which will.make this system have the same solution is; d = 21/(3x -1)

First, we must make y, the subject of the formula in each case as follows;

In essence, by equating y to y in both equations; we have;

By Cross-product; we have;

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True. total count and total duration ioas are less precise measures than mean count and mean duration per occurrence data.

Total count and total duration IOAs (Interval Observation Agreements) are less precise measures than mean count and mean duration per occurrence data. This is because total count and duration do not take into account the frequency or duration of individual occurrences, leading to less detailed and less accurate information about the behavior being observed. Mean count and duration per occurrence provide more precise and accurate measures because they take into account the frequency and duration of individual occurrences, providing a more detailed and complete understanding of the behavior being observed. Therefore, mean count and duration per occurrence are generally considered to be more reliable and informative measures than total count and duration IOAs.

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Given:

Rahul and Swapnil brought an equal amount of money for shopping.

Rahul spend rupees 95 and Swapnil spend rupees 350.

After that Swapnil had \(\dfrac{4}{7}\) of what Rahul had left.

To find:

How much money did Rahul have left after shopping.

Solution:

Let x be the amount brought by both Rahul and Swapnil.

Rahul spend rupees 95 and Swapnil spend rupees 350. So, the remaining amounts are:

Rahul's remaining amount = \(x-95\)

Swapnil's remaining amount = \(x-350\)

After that Swapnil had \(\dfrac{4}{7}\) of what Rahul had left.

\((x-350)=\dfrac{4}{7}\times (x-95)\)

\(7(x-350)=4(x-95)\)

\(7x-2450=4x-380\)

Isolate the variable terms.

\(7x-4x=2450-380\)

\(3x=2070\)

\(x=\dfrac{2070}{3}\)

\(x=690\)

Now, the remaining amount of Rahul is:

\(x-95=690-95\)

\(x-95=595\)

Therefore, the correct option is B.

The inverse of the given functions are:

g⁻¹(5) = -6

h⁻¹(x) = (x + 3)/4

We are given the functions g and h as:

g = {(-6, 5), (-4, 9), (-1, 7), (5, 3)}

h(x) = 4x - 3

We want to find the following:

g⁻¹(5)

h⁻¹(x)

g⁻¹(5) just tells us "Find the pair of coordinates that has 5 for its

y-coordinate, and the answer is its x-coordinate".  So we look through those and find (-6, 5), is the only one of those up there that has a 5 for it's y-coordinate, and so its x-coordinate is 6 and we write:

g⁻¹(5) = -6

To find h⁻¹(x)

Start with:

h(x) = 4x - 3

Change "h(x): to "y"

y = 4x - 3

Interchange x and y:

x = 4y - 3

Solve for y:

x + 3 = 4y

y = (x + 3)/4

Change y to h⁻¹(x)

h⁻¹(x) = (x + 3)/4

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Answer: kim made $6,900 in commission for selling the house

Step-by-step explanation:i took the test

The correct option is D. 48.

The value of the composite function g(f(-1)) is 48.

The process of integrating two or so more functions to create a single function is known as function composition. A function represents a piece of labor.

Now, according to the question, the given functions are-

f(x) = 5x² + 2 and g(x) = x² – 1

First, we must determine f(-1). Consider the f(x) expression and substitute -1 for x.

f(x) = 5x² + 2

f(-1) = 5(-1)² + 2

f(-1) = 5(1) + 2

f(-1) = 5 + 2

f(-1) = 7

We now know that f(-1) equals 7, hence g(f(-1)) is like g. (7). We'll use the g(x) equation now, substituting 7 for x.

g(x) = x² - 1

g(7) = 7² - 1

g(7) = 49 - 1

g(7) = 48

Therefore, the result for the composite function g(f(-1)) is 48.

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The correct question is-

Consider these functions: f(x) = 5x² + 2 g(x) = x² – 1 What is the value of g(f(-1))? A. 2 B. 8 C. 22 D. 48

Answer:

10ft^2

Step-by-step explanation:

16in/4in =4ft for the length

10in/4in= 2.5ft for the width

so 4ft x 2.5ft =10ft^2

so 10ft^2

The explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

The given sequence is -4, 16, -64, 256,...

If we observe the sequence it is a geometric sequence

aₙ=a.rⁿ⁻¹

a is the first term and r is the common ratio

From the sequence the first term is -4 and common ratio is -4

aₙ=(-4).(-4)ⁿ⁻¹

Plug in the value n as 8

a₈=(-4).(-4)⁷

The value of minus four power seven is minus sixteen thousand three hundred eighty four

a₈=(-4)(-16384)

When four is multiplied with sixteen thousand three hundred eighty four we get sixty five thousand five hundred thirty six

a₈= 65536

Hence, the explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

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Answer:

6

Step-by-step explanation:

24/4 = 6

30/5 = 6

Dividing the values of the larger print by the corresponding values of the smaller print results in a scale factor of 6

Answer:

\(x\) would be \((1/3)\) when \(y = 3\).

Step-by-step explanation:

The question states that \(x\) varies "inversely" as \(y^2\). In other words, there is a non-zero number \(a\) (a constant) such that:

\(\displaystyle x = \frac{a}{y^2}\).

The challenging part is to find the value of \(a\) in this equation.

Given that \(x = 3\) when \(y = -1\), replace the \(x\) in this equation with \(3\) and \(y\) with \((-1)\). This equation should still be valid:

\(\displaystyle 3 = \frac{a}{(-1)^{2}}\).

Solve for \(a\):

\(a = 3 \times (-1)^2 = 3\).

Hence, the relation between \(x\) and \(y\) becomes:

\(\displaystyle x = \frac{3}{y^2}\).

Find the value of \(x\) when \(y = 3\) by replacing the \(y\) in this equation with \(3\).

\(\displaystyle x = \frac{3}{3^2} = \frac{1}{3}\).

In other words, the value of \(x\) would be \(\displaystyle \frac{1}{3}\) when \(y = 3\).

Answer:

Answer is 5

Step-by-step explanation:

I don't what the problem is ;-; not sure

5x3-x=10

Answer:

x>4

Step-by-step explanation: