What is 25% of 130? Round to one decimal place ___________

Answer:

here are 26 choices for each letter, so we can select the letters in 26 x 26 x 26 waysThere are 10 choices for each digit so we can select digits in 10 x 10 x 10 x 10 ways. So total : 26 '3 x 10 '4 ways

Step-by-step explanation:

The number of distinct license plates that can be created in the given pattern is 17576000.

The fundamental counting principle or basic principle of counting is a method or a rule used to calculate the total number of outcomes when two or more events are occurring together.

Given: A standard New York car license plate has 3 letters followed by 4 numbers.

If the letters and numbers can be repeated, then the number of ways 3 letters picked for license plate = 26 x 26 x 26

And the number of ways 4 numbers picked for license plate = 10 x 10 x 10

The total number of distinct license plates that can be created in the given pattern = 26 x 26 x 26 x 10 x 10 x 10

= 17576000

Hence, the number of distinct license plates that can be created in the given pattern is 17576000.

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The coordinates for point B are 7 = √(x - 5)² + (y - 4)².

What is the distance formula?

The distance formula is used to calculate the length of the line which joins the two points in an x−y plane. The distance between two points is the length of the line joining the two points. If the two points lie on the same horizontal or same vertical line.

Here, we have

Given: Segment AB Has point A located At (5, 4). If The Distance from A To B Is 7 units.

To find the distance between any two the following formula is used.

D = √(x₂ - x₁)² + (y₂ - y₁)²

7 = √(x - 5)² + (y - 4)²

Hence, the coordinates for point B are 7 = √(x - 5)² + (y - 4)².

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The value of the median of the data set is,

⇒ Median = 3.6

We have to given that;

The data set is,

⇒ 2.5, 7.2, 2.5, 2.9, 4.7, 3.6, 4.7

Now, We can arrange into ascending order as;

⇒ 2.5, 2.5, 2.9, 3.6, 4.7, 4.7, 7.2

Since, There are 7 terms.

Hence, The value of median is,

= (7 + 1)/2 the term

= 8/2

= 4th term

= 3.6

Thus, the value of the median of the data set is,

⇒ Median = 3.6

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Answer:

69

Step-by-step explanation:

Answer:  

7/15

Step-by-step explanation:

You have 120 bags and 64 of them in total do not contain buttons 120 - 64 = 56 now =you have 56 bags with buttons.

Hope This Help :) Lol

The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

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The Q3 means the third quartile which is 16

Answer:

-5/14 (change 2/7 to 4/14 and it’ll help)  

There are 266 number of  ways to park 3 distinct cars in 9 consecutive parking slots such that at least one parking slot remains vacant between any two cars.

To determine the number of ways to park 3 distinct cars in 9 consecutive parking slots such that at least one parking slot remains vacant between any two cars, we need to consider the possible arrangements.

Let's analyze the scenario:

1. All three cars are parked in adjacent slots

In this case, there are 7 possible positions where the first car can be parked (as it needs at least one vacant slot on the right side), 6 possible positions for the second car (as it also needs one vacant slot on the right side), and the third car will occupy the remaining slot.

Total arrangements for Case 1 = 7 * 6 = 42.

2. One vacant slot between the cars

In this case, there are 7 possible positions where the first car can be parked (as it needs at least one vacant slot on the right side).

After parking the first car, there will be 5 remaining slots where the second car can be parked (one vacant slot between the first and second car).

The third car will occupy one of the remaining 4 slots.

Total arrangements for Case 2 = 7 * 5 * 4 = 140.

3. Two vacant slots between the cars

In this case, there are 7 possible positions where the first car can be parked (as it needs at least one vacant slot on the right side).

After parking the first car, there will be 4 remaining slots where the second car can be parked (two vacant slots between the first and second car).

The third car will occupy one of the remaining 3 slots.

Total arrangements for Case 3 = 7 * 4 * 3 = 84.

Total number of ways = Total arrangements for Case 1 + Total arrangements for Case 2 + Total arrangements for Case 3

Total number of ways = 42 + 140 + 84 = 266.

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The hotel owner needs approximately 2,248 square feet of fabric to make a pool covering for the winter for their regular hexagonal pool with a side-to-side length of 30 feet.

To calculate the area of the pool, we first need to find the apothem (the distance from the center of the hexagon to the midpoint of any side). For a regular hexagon, the apothem is equal to the side length times the square root of 3 divided by 2. So, the apothem of this hexagonal pool is:

apothem = 30 × √3/2 = 25.980762

The area of a regular hexagon is given by the formula:

area = 3 × √3/2 × apothem^2

Substituting the value of the apothem, we get:

area = 3 × √3/2 × 25.980762^2 = 2247.72

Rounding this to the nearest square foot, the hotel owner will need approximately 2,248 square feet of fabric to construct the cover for the pool.

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The null hypothesis is always a statement about the population parameter or the absence of a relationship or difference between variables in a statistical hypothesis test. It is typically denoted as "H0" and assumes no effect or no difference exists.

The null hypothesis can take different forms depending on the specific research question. For example, in a study comparing the mean scores of two groups, the null hypothesis might state that the means are equal. In a correlation study, the null hypothesis could assert that there is no correlation between variables.

The null hypothesis acts as a baseline for comparison in hypothesis testing. Researchers aim to gather evidence against the null hypothesis to support an alternative hypothesis. Statistical analysis helps determine the likelihood of observing the obtained data if the null hypothesis were true.

By specifying a null hypothesis, researchers can objectively evaluate the evidence and draw conclusions about the relationship or difference they are investigating.

In summary, the null hypothesis is a statement about the population parameter or lack of relationship/difference, which serves as a reference point for hypothesis testing. It helps researchers assess evidence and draw conclusions based on statistical analysis.

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Answer:

5

Step-by-step explanation:

20/4 = 5

Answer:

h (1,2), w (3,4), y (6,0)

Step-by-step explanation:

Reflecting across y-axis means only changing the x -value between negative and positive. Flipping the sign

When comparing the distributions of SAT scores for two schools, it is important to use a statistical measure that can accommodate the difference in the number of students in each school. In this case, since School A has 400 students while School B has 2700 students, the most useful statistical measure for making this comparison would be the percentage of students in each school who scored within certain SAT score ranges.

For example, instead of comparing the raw number of students who scored above a certain score threshold in each school, it would be more meaningful to compare the percentage of students in each school who scored above that threshold. This would give a more accurate representation of the distribution of SAT scores in each school, taking into account the different sizes of the student populations.

Another useful statistical measure for making this comparison would be to use box plots to visualize the distributions of SAT scores in each school. Box plots provide a clear and concise way to compare the minimum, maximum, median, and quartiles of SAT scores for each school.

In summary, the most useful statistical measures for comparing the distributions of SAT scores for School A and School B would be the percentage of students in each school who scored within certain score ranges, as well as the use of box plots to visualize the distributions.

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Answer:8/15

Step-by-step explanation:

Tanθ in a right angle triangle is the ratio of its perpendicular to its base. The ratio that represents the Tan(∠H) is \(\dfrac{8}{15}\).

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

\(\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}\)

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

Base is the adjacent smaller side of the angle θ.

As it is given that the two of the given triangles are similar triangles, therefore, their corresponding sides will be in the same ratio.

\(\dfrac{QR}{HJ} = \dfrac{RP}{JG} = \dfrac{PQ}{GH}\)

Further, the sides can be written as,

\(\dfrac{QR}{HJ} = \dfrac{RP}{JG}\\\\\dfrac{QR}{RP} = \dfrac{HJ}{JG}=\dfrac{15}{8}\)

Now, the Tan(∠H) can be written as,

\(\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}\)

Substituting the value for the ∠H in ΔHJG,

\(\rm Tangent(\angle H) = \dfrac{JG}{HJ}\)

As the ratio is already known, therefore,

\(\rm Tangent(\angle H) = \dfrac{8}{15} = 0.5\bar3\)

Hence, the ratio that represents the Tan(∠H) is \(\dfrac{8}{15}\).

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Answer:

(d)

Step-by-step explanation:

._. its d in my opinion most sense to me

The price we have to pay for the disc after 10% discount is 1467 dollars.

Percentage is the value per hundredth.

According to the given question we bought a disc which costs 1630 dollars there's a 10% discount we have to find how much i have to pay.

10% of 1630 dollars will be

= (10/100) × 1630 dollars.

= 16300/100 dollars.

= 163 dollars.

So, the price we have to pay for the disc after 10% discount is

= (Total amount - Discount amount)

= ( 1630 - 163 ) dollars.

= 1467 dollars.

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Answer:

Yes the equation is Linear

Step-by-step explanation:

Yes it is a linear equation

Answer:

-34

Step-by-step explanation:

r^2 - 8r - 22  ( R = 6)

6^2 =36   (8r = 8*6=48)

36 - 48 =  -12

-12 - 22 = -34

Answer:many

Step-by-step explanation:manymulti- a combining form meaning “many,” “much,” “multiple,” “many times,” “more than one,” “more than two,” “composed of many like parts,” “in many respects,” used in the formation of compound words: multiply; multivitamin.

Answer:

0.16666

Step-by-step explanation:

100/60

Answer:

I am not sure but i think the midpoint is 4.5 and 6

To get to the mall, you'll need to find the shortest path from your home to the mall.

The Manhattan Distance formula is an efficient way to calculate the shortest path between two points on a rectangular grid. The formula is as follows:

MD = |x1-x2| + |y1-y2|

Where MD is the Manhattan Distance, x1 and y1 are the coordinates of your home, and x2 and y2 are the coordinates of the mall.

To find the shortest path, simply plug in the coordinates for your home and the mall into the formula and calculate the Manhattan Distance. The result is the shortest number of blocks you need to travel to get to the mall.

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Answer:

Step-by-step explanation:

Why did many Americans consider César Chávez a hero in the '60s and '70s?

Answer:

The answer is  B

Step-by-step explanation:

Look I would write step by step but i rally got to go!

Answer:

\( \displaystyle \large{x(7 {x}^{2} + 4)}\)

Step-by-step explanation:

We are given the cubic expression:

\( \displaystyle \large{7 {x}^{3} + 4x}\)

In the expression, there exists same x-term but not like term.

Factor using LCF (Least Common Factor which is x)

\( \displaystyle \large{x(7 {x}^{2} + 4)}\)

From 7x^2+4, the expression is not factorable and thus:-

\( \displaystyle \large{x(7 {x}^{2} + 4)}\)

is the simplified form.

The general solution of the given equation is y² = 8x²Inx + cx².

A first-order linear differential equation is one that has the formula:

\(\frac{d y}{d x}+p(x) y=q(x)\)

where p(x) and q(x) are continuous functions of x.

We begin by determining the integrating factor for the first-order linear differential equation.

I.F. = \(e^{\int p(x) d x}\)

The solution to the first order linear differential equation is:

\(y \cdot e^{\int p(x) d x}=\int q(x) \cdot e^{\int p(x) d x} d x+c .\)

The solution to the first order linear differential equation is:

\(\int \frac{1}{x} d x=\ln x+c\)

So, given: \(y^{\prime}=\frac{\left(4 x^2+y^2\right)}{(x y)}\)

The above differential equation can be written as:

\(\begin{aligned}&\frac{d y}{d x}=4 \frac{x}{y}+\frac{y}{x} \\&\frac{d y}{d x}-\frac{y}{x}=\frac{4 x}{y} \\&y \frac{d y}{d x}-\frac{y^2}{x}=4 x\end{aligned}\)

Substitute, \(y^2=t, 2 y \frac{d y}{d x}=\frac{d t}{d x}\).

\(\begin{aligned}&\frac{1}{2} \frac{d t}{d x}-\frac{t}{x}=4 x \\&\frac{d t}{d x}-\frac{2 t}{x}=8 x\end{aligned}\)

Because this is a first-order linear differential equation, we must first determine the integrating factor:

\(\text { I. F. }=e^{-2 \int \frac{1}{x} d x}=e^{-2 \ln x}\\\text { I.F. } F=\frac{1}{x^2}\)

As a result, the following is the general solution to the given IVP:

\($$t \cdot(I . F .)=\int(I . F .) \cdot 8 x d x+c$$$t \cdot\left(\frac{1}{x^2}\right)=\int\left(\frac{1}{x^2}\right) \cdot 8 x d x+c$$t \cdot\left(\frac{1}{x^2}\right)=8 \int \frac{1}{x} d x+c$$t \cdot\left(\frac{1}{x^2}\right)=8 \ln x+c$$t=8 x^2 \ln x+c x^2$\)

By reversing the value of t:

\(y^2=8 x^2 \ln x+c x^2\)

We now test the solution by substituting \(y^2=8 x^2 \ln x+c x^2\) it in the original differential equation.

\(\begin{aligned}&\frac{d}{d x}\left(y^2\right)=\frac{d}{d x}\left(8 x^2 \ln x+c x^2\right) \\&2 y \frac{d y}{d x}=16 x \ln x+8 x+2 c x \\&\frac{d y}{d x}=\frac{16 x \ln x+8 x+2 c x}{2 y} \\&\frac{d y}{d x}=\frac{8 x \ln x+4 x+c x}{y}\end{aligned}\)

We calculated the value of \(y^2\) and \(\frac{d y}{d x}\) from the original differential equation:

\(\begin{aligned}&\frac{8 x \ln x+4 x+c x}{y}=\frac{4 x^2+8 x^2 \ln x+c x^2}{x y} \\&8 x \ln x+4 x+c x=8 x \ln x+4 x+c x .\end{aligned}\)

Therefore, the general solution of the given equation is y² = 8x²Inx + cx².

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The complete question is given below:
For the following ODE, find a general solution, show the steps of derivation and check your answer by substitution.

\(y^{\prime}=\frac{\left(4 x^2+y^2\right)}{(x y)}\)