Help me out here I don’t feel like doing the math on my own right now

There are 43,200 number of ways to arrange the letters in UNIVERSALLY so that no two vowels occur consecutively and the consonants appear in alphabetical order.

To find the number of ways to arrange the letters in UNIVERSALLY so that no two vowels occur consecutively and the consonants appear in alphabetical order, follow these steps:

1. Identify the vowels and consonants: Vowels are U, I, E, A, and Y; consonants are N, R, S, S, L, and L.

2. Arrange the consonants in alphabetical order: L, L, N, R, S, S.

3. Count the number of positions available for placing the vowels: There are 7 positions available for the vowels (between the consonants and at the beginning and the end of the word), which are _ L _ L _ N _ R _ S _ S _.

4. Count the permutations of the vowels: There are 5 vowels with the letters U, I, E, A, and Y occurring once. So there are 5! = 120 permutations.

5. Consider the consonants with repeating letters: Since there are two Ls and two Ss, we must divide the total permutations by the product of the repetitions (2! for L and 2! for S). Therefore, there are 6!/(2!*2!) = 360 arrangements for consonants.

6. Combine the permutations of vowels and consonants: To find the total number of ways to arrange the letters, multiply the permutations of vowels (120) by the arrangements for consonants (360).

120 * 360 = 43,200

So, there are 43,200 ways to arrange the letters in UNIVERSALLY so that no two vowels occur consecutively and the consonants appear in alphabetical order.

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We can solve the given problem by using the binomial probability formula. The binomial probability formula is given as\(P (X = k) = n C k  *  p k  *  q n - k\)  where n is the total number of trials, p is the probability of success, q is the probability of failure, k is the number of successes, and nCk is the binomial coefficient. Given that the population of adults experiences hypertension at some point in their lives with a probability of 40%. The probability of success, p = 0.40The probability of failure, q = 1 - p = 0.60The sample size, n = 20We are required to find the probability that at most 5 of them would have experienced hypertension.

At most 5 is equivalent to less than or equal to 5. Therefore, we need to find the probability of

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

= Σ n C k  *  p k  *  q n - k k=0 to 5P (X ≤ 5)

= Σ n C k  *  p k  *  q n - k k=0

to 5= (20 C 0  *  0.40 0  *  0.60 20 ) + (20 C 1  *  0.40 1  *  0.60 19 ) + (20 C 2  *  0.40 2  *  0.60 18 ) + (20 C 3  *  0.40 3  *  0.60 17 ) + (20 C 4  *  0.40 4  *  0.60 16 ) + (20 C 5  *  0.40 5  *  0.60 15 )

= (1  *  1  *  0.60 20 ) + (20  *  0.40  *  0.60 19 ) + (190  *  0.40 2  *  0.60 18 ) + (1140  *  0.40 3  *  0.60 17 ) + (4845  *  0.40 4  *  0.60 16 ) + (15504  *  0.40 5  *  0.60 15 )= 0.000000 + 0.000000 + 0.000003 + 0.000460 + 0.015223 + 0.135072= 0.150758Therefore, the probability that at most 5 of them would have experienced hypertension is 0.150758 (approx).

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Step-by-step explanation:

no it is wrong.

because it is inequality and in case of inequality grater value has positive sign so inequality is just opposite of it i.e

-126+4<_52 this is true

now -122<_52

Hi Student!

The first step to solving our question is to understand the problem statement and to extract important information that will be useful.  We are told that the local candy shops sells Jelly Beans for $2 a pound and Chocolate Melts for $3 a pound.  We are also told that Kelsi has no more than $12 to spend.  Finally, we are told that the purpose of this question is to write an inequality to capture the scenario.

We know that we have two variables, the variable x for jelly beans and the variable y for chocolate melts.  Creating an inequality we need to capture the total of these two should be no more than $12.  This means that it isn't just less than $12 but that it can also include $12; therefore, we use a less-than-equal sign.

Create an expression

This inequality captures the goal of our expression which is to see how two items combined should be less than the total price that we want to spend.  Let's create a new inequality with updated numbers with our information.

Plug in values

Simplify to just numbers

After plugging in the values, we have a lot of unnecessary information such as the dollars signs or words so we can remove that and just have the numbers to show that is going on.

Therefore, our final answer is that the inequality that best represents this scenario is \(2 x + 3y\leq 12\)

The graph that represents the function f(x) = 4[x] is option C.

Option C is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = 4 [x]

[x] is the greatest integer function.

We see that,

f(0) = 4 [0] = 0

f(0.5) = 4 [0.5] = 4 x 0 = 0

f(x) = 0 for 0 ≤ x < 1

f(1) = 4 [1] = 4

f(1.5) = 4 [1.5] = 4 x 1 = 4

f(x) = 4 for 1 ≤ x < 2

f(2) = 4 [2] = 4 x 2 = 8

f(2.5) = 4 [2.5] = 4 x 2 = 8

f(x) = 8 for 2 ≤ x < 2

Thus,

The graph on option C has the required coordinates.

f(x) = 0 for 0 ≤ x < 1

f(x) = 4 for 1 ≤ x < 2

f(x) = 0 for 2 ≤ x < 2

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Given the linear regression equation expressed as:

Y = 0.082x + 10.952 where:

Y values are the time practised in minutes

x is the total points scored.

In order to determine the predicted points scored if you practiced for 10 minutes, we will simply substitute y = 10 into the equation and find the corresponding value of x as shown:

Y = 0.082x + 10.952

10 = 0.082x + 10.952

0.082x = 10-10.952

0.082x = -0.952

Divide both sides by 0.082

0.082x/0.082 = -0.952/0.082

x = -11.609

x = -11.610 (To nearest thousandth)

Hence the predicted points to the nearest thousandth is -11.610

Answer:

what one?

Step-by-step explanation:

Answer:

slope is 2

Step-by-step explanation:

find the change in y and x to then divide them

17-1/5- -3 = 16/8 = 2

Answer:

1: 5/2 = 2.5 eggs

2: 25 1/3 bags of gravel

Step-by-step explanation:

The first four nonzero terms of the Maclaurin series for the function g(x) are:

1 - x + 1/2 x^2 - 1/6 x^3

So the correct answer is option (c).

To find the Maclaurin series for the given function g(x) = (1 + x)e^(-x), we can use the formula for the Maclaurin series:

f(x) = f(0) + f'(0)x + (f''(0)/2!)x^2 + (f'''(0)/3!)x^3 + ...

First, we find the first few derivatives of g(x):

g(x) = (1 + x)e^(-x)

g'(x) = -xe^(-x) + e^(-x)

g''(x) = xe^(-x) - 2e^(-x)

g'''(x) = -xe^(-x) + 3e^(-x)

Evaluating these derivatives at x = 0, we get:

g(0) = 1

g'(0) = 0

g''(0) = -2

g'''(0) = 3

Using the Maclaurin series formula and substituting in these values, we get:

g(x) = 1 + 0x - 2/2! x^2 + 3/3! x^3 + ...

Simplifying this expression, we get:

g(x) = 1 - x + 1/2 x^2 - 1/6 x^3 + ...

Therefore, the first four nonzero terms of the Maclaurin series for the function g(x) are:

1 - x + 1/2 x^2 - 1/6 x^3

So the correct answer is option (c).

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Answer:

V=lwh

4x6x3

v=72

Answer:

72 cm

Step-by-step explanation:

for volume is pretty simple. All you have to do is multiply the length width and height of you're shape. Once you do that you get 72cm

The area of the sector is determined as 39.3 cm².

The area of sector ABC is calculated as follows;

The area of a sector can be calculated using the following formulas,

Area of a Sector of Circle = (θ/360º) × πr²

where;

The angle subtended by this sector = 0.785 radians = 45⁰

The radius of the sector = 10 cm

The area of the sector is calculated as follows;

A = ( 45 / 360) x π x ( 10²)

A = 39.3 cm²

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Answer:

750 cm^2

Step-by-step explanation:

Assuming this is an area problem,

To find the area of the whole shape, first we must find the area of each part. We will start from the top and work our way down.

Area is very simple for squares, it is just base times height. The complex part is when it's in weird shapes like this.

First, find the area of the top square (the squares are sectioned off by dotted lines.)

14*9=126, so that part equals 126 cm^2 (the ^ symbol means to square the following number.)

The left box can go off of the height of the right box for that middle segment.

Both of those 'wings' are the same equation, 13*9, since the dotted lines can help us establish symmetry.

13*9 = 117, so both of those wings are 117 cm^2

the middle box is 14*13, since those are the measurements corresponding with it from other parts of the box.

14*13 = 182

The box below that is 14*9

14*9 = 126

the bottom box is 14*13, which is 182 as well.

14*13 = 182.

Finally, add all of our boxes sizes together.

126+117+182+117+126+182=750.

So, the total amount of wrapping paper used is 750 cm^2.

I am willing to elaborate if needed, and added a diagram for help understanding!

The dilation of the triangle is illustrated below.

Resizing an object uses a transformation called dilation. Dilation is used to enlarge or contract the objects. The result of this transformation is an image that retains the original shape.

The image's size will depend on the scale factor, which is used to dilate a mathematical object. See the diagram below. We end up with a triangle where the sides are 3/2 = 1.5 times longer compared to the original diagram.

Because segment AC is going through P (center of dilation), this means that segment A'C' will also go through P. Furthermore, it means AC and A'C' overlap. However, as mentioned earlier, A'C' is 1.5 times longer than AC.

Another thing to note is that line BC is parallel to line B'C', and line AB is parallel to A'B'.

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Answer: 6.072

Step-by-step explanation:

Rounding to three significant figures means you takes the first three "spots" after the decimal point, going in order of  tenths, hundredths, thousandths, ten-thousandths, and so on from left to right. Therefore, the 9 in the 4th spot rounds it to 6.072!

Answer:

the answer is =6.07 to 3 significant figures

The answer is (B) 27.47 ft.  We can use trigonometry to solve this problem. Let's call the height of the building "h" and the length of the ladder "l". We know that the distance from the base of the ladder to the building is 10 feet, and the angle of elevation is 70 degrees.

Using trigonometry, we can set up the equation:

tan(70) = h/10

Solving for h, we get:

h = 10 * tan(70)

Plugging this into a calculator, we get:

h ≈ 27.47 ft

Therefore, the answer is (B) 27.47 ft.

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The girls' reluctance to sell the chocolate bars at $2.50 per bar may not be purely altruistic but instead driven by their understanding of market demand and the potential impact of pricing on sales volume.

The girls' perception that the selling price of $2.50 per chocolate bar is too high may not necessarily indicate altruism but rather a response to market demand. When faced with a downward sloping demand curve, higher prices can lead to lower sales volume.

The girls' concern may be rooted in their understanding that a higher price could potentially deter potential buyers from purchasing the chocolate bars, resulting in lower overall sales and potentially lower earnings for themselves.

By considering the demand curve, the girls are likely taking into account the price elasticity of demand. Elastic demand implies that a change in price will have a relatively larger impact on the quantity demanded. If the girls perceive the demand for chocolate bars to be elastic, they might believe that a lower price would attract more customers and lead to increased sales volume.

Their concerns could also be motivated by their desire to achieve a balance between maximizing their sales and ensuring a reasonable profit margin. They might be aware that setting the price too high could lead to reduced demand and lower overall revenue, thereby limiting their earnings.

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First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

The sale price of the car would need to be $35,000 in order for the salesperson to make at least $800 in total on the sale.

To determine the sale price of a car that would allow the automobile salesperson to make at least $800 in total, we can set up the following equation:

Sale price * 0.02 + 100 = 800

Where "Sale price" is the price of the car and 0.02 is the commission rate of 2%.

Solving for "Sale price," we get:

Sale price = (800 - 100) / 0.02

Sale price = 35000

Therefore, the sale price of the car would need to be $35,000 in order for the salesperson to make at least $800 in total on the sale.

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Answer:

7 hours

every hour she makes $21

Step-by-step explanation:

378÷18=21

147÷21=7

7 hours

378÷18=21$/h in ONE hour Salma makes 21$ so you have to do 147÷21=7h

The probability that none of the three adults get news from the newspaper is 0.378.

To understand why, let's break down the problem step by step.

Step 1: Calculate the total number of ways to choose 3 adults out of the 70 surveyed. This can be done using the combination formula:

C(n, r) = n! / (r!(n - r)!)

In this case, n = 70 (the total number of adults surveyed) and r = 3 (the number of adults being chosen).

C(70, 3) = 70! / (3!(70 - 3)!)

Step 2: Calculate the number of ways to choose 3 adults who don't get news from the newspaper. Since there are 12 adults who get news from the newspaper, we need to choose 3 adults from the remaining 70 - 12 = 58 adults who don't get news from the newspaper.

C(58, 3) = 58! / (3!(58 - 3)!)

Step 3: Calculate the probability by dividing the number of ways to choose 3 adults who don't get news from the newspaper by the total number of ways to choose 3 adults:

P = C(58, 3) / C(70, 3)

Step 4: Substitute the values and calculate the probability:

P = (58! / (3!(58 - 3)!)) / (70! / (3!(70 - 3)!))

P = (58! / (3!55!)) / (70! / (3!67!))

P = (58! * 67! * 3! * 3!) / (3! * 55! * 70!)

Many terms in the numerator and denominator will cancel out, leaving us with:

P = (58 * 57 * 56) / (70 * 69 * 68)

P = 0.378

So, the probability that none of the three adults get news from the newspaper is 0.378.

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Complete Question

A news organization surveyed 70 adults. Each said he or she gets news from only one source. Here is a summary of their sources of news. Source of news Number of adults 22 Radio 12 Newspaper 13 Television 23 Internet Three of the adults from the survey are selected at random, one at a time without replacement. What is the probability that none of the three adults get news from the newspaper? Do not round your intermediate computations. (Round your final answer to three decimal places)

Answer:

$10

Step-by-step explanation:

100% is $40

Every 25% is $10

So he has 25% or $10 left

Let X be a number of weeks, than you have

(60 + 7 * X) - ( 120 + 5 * X) = 0

Solve for X and you get X = 30 weeks

The key here is to recognize that when they both have equal amounts the difference between their amounts  will be 0c

The equation that the given graph of the system of equations solves is: 1/3x + 1 = 2x - 4.

Where m is the slope and b is the y-intercept, the equation of a line in slope-intercept form is expressed as y = mx + b.

Equation of the Blue Line:

Slope (m) = change in y / change in x = 2/1 = 2

y-intercept (b) = -4.

Equation: y = 2x - 4

Equation of the Red Line:

Slope (m) = change in y / change in x = 1/3

y-intercept (b) = 1

Equation: y = 1/3x + 1

The equation that the graph of the systems of equations solve would be: 1/3x + 1 = 2x - 4.

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We are to find the number of t-shirt the group can buy given $250

Cost of first t-shirt = $35

Cost of each additional t-shirt = $11

Total amount with the group = $250

number of t-shirt the group can buy = x

The equation:

250 = 35 + 11x

250 - 35 = 11x

215 = 11x

divide both sides by 11

x = 215/11

x = 19.5

The group can not buy a decimal number of t-shirt.

x will be rounded down to 19

Therefore,

the total number of t-shirt the group can buy is 1 + 19

= 20 t-shirt

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Answer: 20 is the correct answer.

Your supposed to round up on this question

Step-by-step explanation:

The solution to the system of equations graphed below is,

⇒ (0, 1)

Since, We have to given that;

Two system of equations are,

⇒ g (x) = 3x + 2

⇒ f (x) = |x - 1| + 1

Here, The graph of both system of equation are shown in graph.

We know that;

In a graph, the solution of system of equation are represented by a intersection point of both graph.

Here, In the graph of system of equation,

Intersection point is,

⇒ (0, 1)

Hence, The solution to the system of equations graphed below is,

⇒ (0, 1)

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Answer:

Step-by-step explanation:

I'm impressed that they make you do this in H.S.    Linear Algebra.   it's good for more complex math .   so that's why i'm impressed.   Is this an AP class?  

Ax=B is our formula.   we need to know something about x,  it's size

so we look at rows and columns of A,   2x2   , also we need to know about B as well it's also 2x2

so now we know, that   a matrix  A, of  size  2x2,  *x = B of size 2x2

2x2*x=2x2   ....   2x2|2x2   since the two inside number match, we can do this multiplication,  and the two ouside numbers tell us the size of  x... it's also a 2x2.  I know, a lot of explaining to just get 2x2.   Maybe that is obvious, and i'm mansplaining,  :DD  ,  but I don't know what you know.

I'll put big subscripts on my matrix variable so you can see it well.  You understand the subscript is the element location in the matrix , right?  1,1 is just the top left corner element of the matrix.  ect , ect.

so now we need,  a1,1 * x1,1 + a1,2 * x2,1   = 2  in b1,1

then we need   a2,1 * x1,1 + a2,2 * x2,1 = 7  in b2,1

next we need a1,1 * x1,2 + a1,2 * x2,2   = 3  in b1,2

finally we need a2,1 * x2,1 + a2,2 * x2,2   = 8  in b2,2

X =  \(\left[\begin{array}{ccc}\frac{3}{2} &1\\\frac{1}{2} &2\end{array}\right]\)   I did that by observation.   have you learned any RREF methods yet?

Answer:

e

Step-by-step explanation:

The rule of the sides of a triangle is that the sum of the lengths of any two sides of a triangle is always greater than the length of the third side. This rule is also known as the triangle inequality theorem.