Find the length of the missing segment.

The number of centerpieces that she can make, using proportions, is of:

25.

A proportion is a fraction of an amount, and this fraction is combined with the unit rates in the context of a problem, and basic arithmetic operations, especially multiplication or division, to find the desired amounts in the same context of this problem.

In the context of this problem, the number of centerpieces is given by the division of the the total number of flowers by the number of flowers in each centerpiece.

The amounts are given as follows:

Hence the division giving the number of flowers per centerpiece is:

n = 430/17 = 25.2.

The amount is rounded down to 25, as for 26 centerpieces, more flowers would be needed.

Hailey is making floral centerpieces for a wedding. Each centerpiece has 17 flowers. She has 430 flowers for the project.

How many complete centerpieces can she make? Find the exact answer.

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The amount of fat in Cherry ice-cream is 24 grams.

The amount of fat in the Mint Chocolate Chunk ice-cream is 12 grams.

Writing data into equations using Algebra,3C + M = 84...(1)C + 3M = 60...(2)

Multiplying equation (2) by 3 and then subtracting equation (1) from

the result gives, 3 * (C +3M) = 3 × 603C + 9M = 180...(3)(3C + 9M = 180) - (3C + M = 84) = 8M =96M= 12

The amount of fat in the Mint Chocolate Chunk ice-cream, M = 12  

grams C + 12*3 = 60C = 60-36 = 24

The amount of fat in Cherry ice-cream C = 24 grams As a result, Cherry ice cream contains 24 grams of fat and Mint Chocolate Chunk ice cream contains 12 grams of fat.

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432 ways are there to paint each of the integers 2, 3,..., 9 either red, green, or blue so that each number has a different color from each of its proper divisors.

A rule used to count the entire number of alternative outcomes in a circumstance is known as the fundamental counting principle. It claims that if there are n ways to do something and m ways to do something else after that, then there are n m n*m methods to do both of these acts.

Here,

(1) All prime number can take any of three colors, except one of 2 or 3 as both are connected via 6..

so 2, 5, 7 can have 3 ways each - 3*3*3 = 27 ways

(2) Let us take the multiples of 2..

4 can take any of the remaining 2 colors, while 8 would take the remaining colour. As like 4, 6 can also take any of 2 colors other than the colour of integer 2.

Thus 2*2*1=4

3 is restricted because of 6, so it cannot have the same color as 6 and therefore 3 can have any of the remaining 2 colors.

We could also have taken 3 colors for 6, and then 2 and 3 would have 2 colors each and overall 2*2*3.. We are still getting the same

Only integer left is 9, so it will take any of the 2 colors other than that of 3, so 2 ways..

Total 2*2=4

Combined way of  integers = 27∗4∗4=432 ways

There are 432 different methods to paint the numerals 2, 3,..., 9 red, green, or blue so that each number has a different hue from each of its suitable divisors.

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Answer: 25 degrees

Step-by-step explanation:

Assuming that both triangles are to be connected and that they form a rectangle,

angle x can be found by subtracting 65 degrees from 90 degrees.

(all corners of rectangle=90 degrees)

90-65=25

The Central Limit Theorem gives the idea that a large number of sample means or proportions will approximate a normal distribution, regardless of the distribution of the population from which they were drawn .

Central Limit Theorem : In probability theory , the Central Limit Theorem establishes that , in many situations , when independent random variables are summed up , their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed .

The Central Limit Theorem gives the idea that a large number of sample means or proportions will approximate a normal distribution, regardless of the distribution of the population from which they were drawn .

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Answer:

Step-by-step explanation:

The probability that a carpet that is 7 ft × 12 ft contains no flaws is 0.732  

The Normal, Binomial, and Poisson Distributions are the three types of continuous and discrete data-based distributions used in probability and statistics. The distribution of unusual occurrences is another name for the Poisson distribution. This is mostly used to forecast the likelihood of future events based on how frequently the past events occurred. It offers the chance that a specific number of events might happen during a particular time frame.

The formula for Poisson distribution is given below:

       P(x) = (e^-x * m^x) / x!  

Here we have,

flaws in a carpet tend to occur randomly and independently at a rate of one every 270 square feet  

Given the dimensions of carpet = 7 feet × 12 feet  

=> area of the carpet = 84 feet²

=> the expected mean of defects m = [1/270]*84 = 0.311

Now use the Poisson formula  

P[x] = e^-m × m^x / x!

=> P(x = 0) = e^-(0.31) × 0.31^(0) / 0!

= (0.732 × 1)/1 = 0.732

Therefore,

The probability that a carpet that is 7 ft × 12 ft contains no flaws is 0.732  

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The circumference of the circle with a radius of 16.8 cm is 105.504 cm

The given parameters are

Radius = 16.8 cm

As a general rule, radius are represented by the variable r

So, we have the following representation equation

r = 16.8 cm

The circumference of the circle is then calculated as

C = 2πr

Next, we substitute the value of the variable r in the above equation

i.e. r = 16.8 cm

So, we have the following equation

C = 2π * 16.8 cm

From the question, we have

π = 3.14

So, we have the following equation

C = 2 * 3.14 *16.8 cm

Evaluate the products

So, we have the following equation

C = 6.28 *16.8 cm

Evaluate the products

C = 105.504 cm

Hence, the circumference is 105.504 cm

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The vertex of the equation given as .f(x) = |2x + 3| is (-3, 0)

The vertex of a function or an equation is the minimum or the maximum point on the function

From the question, we have the equation of the function to be

f(x) = |2x + 3|

The above function is an absolute value function

An absolute value function is represented as

f(x) = a|x - h| + k

Where the vertex is represented as

Vertex = (h, k)

By definition, a graph that has a vertex would have an obvious maximum or minimum point on it

By comparing the equations f(x) = a|x - h| + k and f(x) = |2x + 3| to determine the vertex, we have

(h, k) = (-3, 0)

This means that

Vertex = (-3, 0)

Hence, the vertex of the equation is (-3, 0)

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Answer: The ladder reaches 4.8 ft up the wall

Step-by-step explanation:

Sin 53°=0.80

Cos 53°=0.60

Tan 53°=1.33  

Cos 58°/1 = X/8

0.60/1 = X/8

X=4.8  

The compound interest calculated for 10 years annually, semi-annually, quarterly, monthly, and daily are (a) $2195.05,  (b) $2206.18  (c) $2211.88 (d) $2215.75, and, (e) $2217.63

The formula for Compound Interest is

Amount = Principal X (1 + r/n100)ⁿˣ

where,

Principal = original mount

n = no. of times the interest is applied

t = time period

Here,

Principal = $1400

x = 10

r = 4.6

a)

Since it is compounded annually, the interest will be given 10 times in 10 years. therefore, once a year

Hence,

n = 1

Amount = 1400 X (1 + 4.6/100)¹⁰

= 1400 X (104.6/100)¹⁰

= 1400 X (1.046)¹⁰

= $2195.05

b)

Since the interest is compounded semi-annually here, it will be calculated twice a year.

Hence, n = 2

Therefore we get

Amount = 1400 X (1 + 4.6/200)²⁰

= 1400 X (204.6/200)²⁰

= 1400 X (1.023)²⁰

= $2206.18

c)

Since it is compounded 4 times a year now,

n = 4

Hence we get

Amount = 1400 X (1 + 4.6/400)⁴⁰

= 1400 X (1.0115)⁴⁰

= $2211.88

d)

Here, the interest is calculated 12 times a year

Hence we get

Amount = 1400 X (1 + 4.6/1200)¹²⁰

= 1400 X (10038)¹²⁰

= $2215.75

e)

Here we are told to ignore leap years, hence we are only going to consider a year to have 365 days.

Hence,

n = 365

Therefore, we get

Amount = 1400 X (1 + 4.6/36500)³⁶⁵⁰

= 1400 X (1 + 4.6/36500)³⁶⁵⁰

= 1400 X (1.00012)³⁶⁵⁰

= $2217.63

Correct Question

If 1400 dollars is invested in an account for 10 years. find the value of the investment at the end of 10 years if the interest is:

(a) 4.6% compounded annually

(b) 4.6% compounded semiannually

(c) 4.6% compounded quarterly

(d) 4.6% compounded monthly

(e) 4.6% compounded daily (ignore leap years)

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Answer:

1/28 kilo

Step-by-step explanation:

sb help me on my recent please

The number of points that are expected to lie inside the circle is 785.

A circle is a closed two-dimensional figure. In a circle, all points are equidistant from the centre.

As per the given question, the circle is inscribed in a square,

⇒ The area of the circle   =   π × r × r

                                           =   π × 1 × 1

∴ The area of the circle    =   π

⇒ The area of the square   =   s × s

                                             =   2 × 2

∴The area of the square    =    4  

The probability that a randomly selected point inside the square will lie inside the circle,

p   =   π / 4

The probability that a randomly selected point inside the square will lie outside the circle,

q   =  1 - p

q   =  1 - ( π / 4 )

⇒ Binomial trial with n   =   1000 and  p   =   π / 4,

Number of points expected to lie inside the circle(N)  =   n × p

                                                                                         =   1000 × ( π / 4 )

                                                                                         =   1000 × ( 3.14 / 4 )

                                                                                         =   1000 × ( 0.785 )

                                                                                  N    =   785  

Therefore, 785 expected points lie inside the circle.  

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The complete question is

Answer: 56 square

Step-by-step explanation:

Answer:

The two numbers are [tex]3[/tex] and [tex]-16[/tex].

Step-by-step explanation:

Two numbers that, when multiplied, result in a product of [tex]-48[/tex]:

[tex]x \cdot y = -48[/tex]

Same two numbers when added get a sum of [tex]-13[/tex]:

[tex]x + y = -13[/tex]

Solve for x in the summation identity:

[tex]y = -13 - x[/tex]

Plug the value back into the product identity and solve for [tex]x[/tex]:

[tex]x \cdot (-13-x) = -48\\-13x - x^2 = - 48\\x^2 + 13x = 48\\x^2 + 13x - 48 = 0\\(x-3)(x+16) = 0[/tex]

The roots we found for [tex]x[/tex] were:

[tex]x = 3\\x = -16[/tex]

Our two numbers are [tex]3[/tex] and [tex]-16[/tex]. We can test this:

[tex]3 + (-16) = -13\\3 * -16 = -48[/tex]

The initial 4 gallons and the fractions of [tex]\frac{1}{2}[/tex] and [tex]1\frac{1}{4}[/tex] gallons of paint used on the first day indicates;

A fraction is the representation of a number in quotient form such that the value of the number is obtained by dividing the numerator by the denominator.

The amount of paint Lyle and Ming started painting the room with = 4 gallons

Amount of paint Lyle used on the first day = [tex]\dfrac{1}{2}[/tex] gallons of paint

The amount of paint Ming used on the first day =  [tex]1\frac{1}{4}[/tex] gallons of paint

Required; The amount of paint remaining after the first day of painting

The paint left after the first day of painting, V, is the difference between the amount of paint with which the painting was started and the amount used by Lyle and Ming on the first day

Therefore; [tex]V = 4 - \left(\dfrac{1}{2} + 1\dfrac{1}{4} \right) = 4 - \left(\dfrac{1}{2} +\dfrac{5}{4} \right) = 4 - \dfrac{7}{4}[/tex]

[tex]V = 4 - \dfrac{7}{4} = \dfrac{16-7}{4} = \dfrac{9}{4} = 2\dfrac{1}{4}[/tex]

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The given function shifted 3 units left is log(x+3), vertical compression by factor 2 is 2log(x+3), Reflection across the y-axis is 2log (-x+3) and shifted down by 5 units is 2log(-x+3)-5.

Given the parent function with base 10.

We want to find the given transformations.

The given parent function is y=log(x)

Firstly, we want to shift the given parent function 3 units left means we will add 3 in the parent function, we get

y=log(x+3)

Now, we want to do vertical compression by a factor of 2 means we will multiply the above function with 2, we get

y=2log(x+3)

Further, we want to reflected the above function across the y-axis means we will multiply the x with minus, we get

y=2log(-x+3)

Furthermore, we want to shift the above function down with 5 units means we will subtract 5 from the above function, we get

y=2log(-x+3)-5

Hence, the given parent function y=log(x) when shifted 3 units left is log(x+3), vertical compression by factor 2 is 2log(x+3), Reflection across the y-axis is 2log (-x+3) and shifted down by 5 units is 2log(-x+3)-5.

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Answer:

locations of A are 7, 17

Step-by-step explanation:

since B is positioned at 12 and AB = 5 , then

A = 12 - 5 or 12 + 5 = 7 , 17

ΔBGC is right because Line EG is perpendicular-to CC'.

A reflection image or reflection point is the mirror image of a figure in the axis or plane of reflection.

Each point of the original figure (the pre-image) has an image that is the same distance from the reflection line as the original point, but is on the other side of the line. This transformation is known as a reflection over line. The size and form of the image in a reflection are identical to those of the pre-image.

Given:

On the line of reflection will be the midpoints of the segments connecting a triangle vertex with its reflected image. The segment will be parallel to the reflection's line.

A triangle will be considered correct in this situation if it has a leg that is a part of the segment connecting the reflected points and a leg that is on the line of reflection. Such a triangle is the BGC.

Hence, BGC is right triangle.

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Answer: D

Step-by-step explanation: Trust

The probability to win two or more tickets in the lottery is 0.118

It is given that there is a 5% chance to win a lottery ticket.

Therefore, the probability to win a lottery ticket is

0.05

The girl here plays the game 12 times. The above distribution is clearly a Binomial Distribution

ⁿCₓ  X  pˣ  X  (1 - p)ⁿ⁻ˣ

We need to calculate the probability to win 2 or more tickets

= 1 - the probability to win at least one ticket

= 1 - P(X = 0) + P(X = 1)

here,

p = 0.05

1 - p = 0.95

n = 12

P(X = 0)

= ¹²C₀  X  0.05⁰  X  0.95¹²

= 0.54036

P(X = 1)

= ¹²C₁  X  0.05¹  X  0.95¹¹

= 0.34128

Hence we get

P(X ≥ 2) = 1 - 0.54036 - 0.34128

= 0.118

Therefore, we get the probability that the person will win 2 or more tickets to be 0.118

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We know that the sum of all the interior angles of the polygon with sides n is (n - 2)*180.

It is given in the question that,

Sum of all the interior angles of the polygon is 800.

Hence, according to the data given in the question, we can write,

(n - 2)*180 = 800

n - 2 = 800/180

n - 2 = 40/9

n = 40/9 + 2

n = 58/9 = 6.44

As number of sides should always be in integer form, it is not possible to have the sum of all the interior angles of the polygon to be 800 degrees.

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Dividing 50x⁴ - 50x³ + 12x² + 10x - 2 by 5x - 3 with the long division method will result to a quotient of 10x³ - 4x² + 2 and a remainder of 1.

The method of long division involves the following steps:

We sall divide the 50x⁴ - 50x³ + 12x² + 10x - 2 by 5x - 3 by applying the long division method as follows;

50x⁴ divided by 5x equals 10x³

5x - 3 multiplied by 10x³ equals 50x⁴ - 30x³

subtract 50x⁴ - 30x³ from 50x⁴ - 50x³ + 12x² + 10x - 2 will result to -20x³ + 12x² + 10x - 2.

This process is repeated until we have a remainder of 1.

Therefore, by the long division method, we have quotient of 10x³ - 4x² + 2 and a remainder of 1.

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a) The mean distribution is 5.295.

b) The standard deviation is 0.1026

c) The probability that the child will be older than 5 years old is 0.7657

d) The probability that the child's age is between 4.84 and 5.34 is  0.4504

e) At the 9th percentile, the age of the child is 5.739 years old.

Given interval distribution is

4.74 - 5.85.

a) Firstly, we will find the mean distribution,

Mean distribution = Sum of intervals / Number of intervals

= 4.74+5.85 / 2

= 5.295.

Hence, the mean distribution is 5.295.

b) Now, we will find the standard deviation,

We use the formula:

SD = [tex]\sqrt{\frac{(b-a)^{2} }{12} }[/tex]

b = 5.85

a = 4.74

SD = [tex]\sqrt{\frac{(5.85-4.74)^{2} }{12} }[/tex]

SD = [tex]\sqrt{\frac{(1.11)^{2} }{12} }[/tex]

SD = 0.1026

Hence, the standard deviation is 0.1026

c) The probability that the child will be older than 5 years will be

p(older than 5) = 5.85 - 5 / 5.85 - 4.74

= 0.85 / 1.11

= 0.7657

Hence, the probability that the child will be older than 5 years old is 0.7657

d) The probability that the child will be between 4.84 and 5.34 years old will be

p(between 4.84 and 5.34) = 5.34 - 4.84 / 5.85 - 4.74

= 0.5 / 1.11

= 0.4504

Hence, the probability that the child's age is between 4.84 and 5.34 is  0.4504

e) If the child is at the 9th percentile, the age will be

At the 9th percentile = 4.74 + 9/100 ×(5.85 - 4.74)

= 4.74 +(0.9)(1.11)

= 4.74 + 0.999

= 5.739

Hence, at the 9th percentile, the age of the child is 5.739 years old.

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The height of the candle after 15 hours of burning is 17 cm.

According to the question,

We have the following information:

Height of the candle after 11 hours of burning = 19.4 cm

Height of the candle after 23 hours of burning = 12.2 cm

Now, we will find the rate at which the height of the candle is decreasing. It means that we will find the decrease in height per centimeter.

Difference between hours and height:

23-11 = 12 hours

19.4-12.2 = 7.2 cm

So, we have:

12 hours = 7.2 cm

1 hour = 7.2/12

1 hour = 0.6 cm

So, the height is decreasing at the rate of 0.6 cm per hour.

Now, we have to find the height after 15 hours.

Height at 11 hours = 19.4 cm

Difference between 15 hours and 11 hours is 4 hours.

Change in height = 0.6*4 cm

Decrease in height = 2.4 cm

So, the height after 15 hours:

19.4-2.4

17 cm

Hence, the height of the candle after 15 hours of burning is 17 cm.

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The total number of miles for the four trips is 25 miles.

Given that;

Linda traveled for one hour each day for four days at a speed that made her cover one mile in an even number of minutes. After the first day, she started to lose speed, and it took her 5 minutes longer to complete a mile than the day before. Her journey distance was also an integer amount of miles throughout the four days.

We know that,

Distance is a product of speed and time. We need to find the distance here with the use of the given conditions, time is 1 hour.

Speed = Distance / Time

Hence, speed is 1 mile per x minutes because we want to distance by multiplying the time and speed together yielding 60 min * 1 mile / x mins.

Minutes cancel out, so now we have 60/x as our distance for the first day.

The distance for the given case;

⇒ [tex]\frac{60}{x},\frac{60}{x+5},\frac{60}{x+10},\frac{60}{x+15}[/tex]

It is given that x = 5;

⇒ [tex]\frac{60}{5},\frac{60}{10},\frac{60}{15},\frac{60}{20}[/tex]

= 12 + 6 + 4 + 3

= 25

The total number of miles for the four trips is 25 miles.

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If he arranges them into 6 equal rows, 4 posters will be in each row.

One of the fundamental arithmetic operations in mathematics is the division, which is the process of dividing a group of items into equal pieces. Every day, we might employ the division approach in various situations. Fraction division differs significantly from natural number division. We must change the division operator into a multiplication operator when dividing fractions. Therefore, the dividend should be multiplied by the inverted divisor.

Given,

Total posters = 24

Arranging them into 6 equal rows,

Dividing:

24÷ 6

Reciprocating,

24 × 1/6

4

If he arranges them into 6 equal rows, 4 posters will be in each row.

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A model for representing the relationship between the number of key chains and the number of feet of cotton cord is: 8x - 3y = 0.

Since Lucia creates braided key chains from out cotton cord and can create 3 braided key chains per each 8 feet of cotton cord she does have, the following equations must be performed via cross multiplication to symbolize the relationship between both the feet of cotton cord as well as the number of key chains but also obtain the number of cotton cord Lucia requires to achieve 5 key chains:

8 cotton cords = 3 key chains

Let the total length in feet of cotton cords be x.

And the total number of key chain made be y.

Then, the linear equation formed as;

8x = 3 y

8x - 3y = 0

Thus, a model for representing the relationship between the number of key chains and the number of feet of cotton cord is: 8x - 3y = 0.

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The equivalent ratios table is:

Toss     Dollars  

5             2

30           12

45           18

See the diagram in the attachment that shows the plotted points.

Equivalent ratios are ratios that have the same value when they are compared together.

For example, 4/6 = 2/3, therefore, the equivalent ratios are 2:3 and 4:6.

Create an equation that models equivalent ratios that can be used to complete the table if:

x = toss

y = dollars

Therefore, given that 30 toss equals $12,

Constant of proportionality, k = y/x = 12/30

k = 2/5.

Plug in the value of k into y = kx:

y = 2/5x.

Therefore:

2 dollars (y = 2), will give:

2 = 2/5(x)

x = 10/2

x = 5 toss

45 tosses (x = 45) will need:

y = 2/5(45)

y = 18 dollars

The equivalent ratios table would be:

Toss | Dollars  

5           2

30        12

45         18

The graph below shows the points, (5, 2), (30, 12), and (45, 18), where y = dollars, and x = toss.

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81 percentile of the given test is 482

The square root of the means of the squared deviations from the arithmetic mean is known as the standard deviation. Standard deviation is used in finance to quantify the risks associated with an investment instrument.

Given that the Marble Academy of Whoville conducts an annual test for all high school juniors one year, the scores on the test were approximately normally distributed with a mean of 420 and a standard deviation of 70

Here mean μ = 420 and Standard deviation σ = 70

We have find 81 percentile of this test = ?

The z score corresponding to the area 0.81 is

Z = 0.88  By standard normal table

X = μ + z σ

X = 420 + 0.88 x 70

= 420 + 62

= 482

Therefore 81 percentile of this test is 482

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The range of the function is [0, 960]

From the question, we have the equation of the function to be

f(x) = 16x

Where

When the dispenser is empty, it means that f(x) = 0

When the dispenser is full, it means that f(x) = 960

When these values are combined, they represent the range

In other words, the range is 0 to 960

This can be rewritten as [0, 960]

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Answer:

big black men

Step-by-step explanation:

(i have your search history)