PLEASE HELP
The table shows the length, in inches, of fish in a pond.


11 19 9 15
7 13 15 28


Determine if the data contains any outliers. If so, list the outliers.
There is an outlier at 28.
There is an outlier at 7.
There are outliers at 7 and 28.
There are no outliers.

The graph of the sine function f(x) = sin(400πx) is given by the image at the end of the answer.

The sine function in this problem is defined as follows:

f(x) = sin (y × 2πx).

In which the relevant variable for the graph is the variable y, which is the number of cycles in a single second of the wave.

In this problem, it is states that the note has a frequency of 440 Hz, meaning that it has 440 cycles in one second, thus the equation is:

f(x) = sin (440 × 2πx).

f(x) = sin (880πx).

The function is not multiplied by any value, hence the amplitude is of 1, meaning that the function oscillates between 0 and 1, and also there is not any phase shift or vertical shift, meaning that it oscillates between -1 and 1 starting at the origin.

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Answer:

  m = 4√6

Step-by-step explanation:

Using the "geometric mean" relations applicable to this triangle, the value of m is the geometric mean of the hypotenuse segments it touches:

  m = √((8)(8+4)) = √96

  m = 4√6

__

Additional comment

Similarly, n = √(4×8) = 4√2.

These relations come from the similarity of the triangles. For m, the proportion is ...

  long side/hypotenuse = 8/m = m/12

  96 = m²   ⇒   m = 4√6

To calculate the probabilities, we need to use the concept of binomial probability.

For a fair coin being tossed 5 times:

(a) Probability of getting five heads:

The probability of getting a head in a single toss is 1/2.

Since each toss is independent, we multiply the probabilities together.

P(Head) = 1/2

P(Tails) = 1/2

P(Five Heads) = P(Head) * P(Head) * P(Head) * P(Head) * P(Head) = \((1/2)^5\) = 1/32 ≈ 0.03125

So, the probability of obtaining five heads is approximately 0.03125 or 3.125%.

(b) Probability of getting four heads:

There are five possible positions for the four heads.

P(Four Heads) = (5C4) * P(Head) * P(Head) * P(Head) * P(Head) * P(Tails) = 5 * \((1/2)^4\) * (1/2) = 5/32 ≈ 0.15625

So, the probability of obtaining four heads is approximately 0.15625 or 15.625%.

(c) Probability of getting one head:

There are five possible positions for the one head.

P(One Head) = (5C1) * P(Head) * P(Tails) * P(Tails) * P(Tails) * P(Tails) = 5 * (1/2) * \((1/2)^4\) = 5/32 ≈ 0.15625

So, the probability of obtaining one head is approximately 0.15625 or 15.625%.

For a fair die being thrown eight times:

(a) Probability of a 6 occurring six times:

The probability of rolling a 6 on a fair die is 1/6.

Since each roll is independent, we multiply the probabilities together.

P(6) = 1/6

P(Not 6) = 1 - P(6) = 5/6

P(Six 6s) = P(6) * P(6) * P(6) * P(6) * P(6) * P(6) * P(Not 6) * P(Not 6) = \((1/6)^6 * (5/6)^2\) ≈ 0.000021433

So, the probability of rolling a 6 six times is approximately 0.000021433 or 0.0021433%.

(b) Probability of a 6 never happening:

P(No 6) = P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) = \((5/6)^8\) ≈ 0.23256

So, the probability of not rolling a 6 at all is approximately 0.23256 or 23.256%.

(c) Probability of an odd number of 6s:

To have an odd number of 6s, we can either have 1, 3, 5, or 7 6s.

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

\(P(One 6) = (8C1) * P(6) * P(Not 6)^7 = 8 * (1/6) * (5/6)^7P(Three 6s) = (8C3) * P(6)^3 * P(Not 6)^5 = 56 * (1/6)^3 * (5/6)^5P(Five 6s) = (8C5) * P(6)^5 * P(Not 6)^3 = 56 * (1/6)^5 * (5/6)^3P(Seven 6s) = (8C7) * P(6)^7 * P(Not 6) = 8 * (1/6)^7 * (5/6)\)

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

Calculate each term and sum them up to find the final probability.

After performing the calculations, we find that P(Odd 6s) is approximately 0.28806 or 28.806%.

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Out of the given options, the function "\(f(t) = e^{(t + t^2)}\)" is the complex variable.

A complex variable is a mathematical quantity that can take on both real and imaginary values. In the given options, the function "\(f(t) = e^{(t + t^2)}\)" involves the variable "t" in the exponent. This makes it a complex variable because the exponent can result in both real and imaginary values.

In contrast, the other options do not involve such exponential or variable components that can yield imaginary values. The first option, "sigma + j omega", represents a complex number with a real part (sigma) and an imaginary part (j omega), but it is not a variable itself.

The second option, "integral \(e^{(-s t)} dt\) ", represents an integral expression involving the variable "t", but it does not yield a complex value. The third option, "|sigma(t)|", represents the absolute value of a function, which is a real value.

Therefore, out of the given options, the function "\(f(t) = e^{(t + t^2)}\\\) " is the complex variable.

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The percentage by which the arc length has increased is 50 %.

The original arc length, S

Let the original radius, R

Let the original arc measure (angle), T

So,

S =  RT

And  when the arc measure  increases by 20%  and the  radius increases by 25%  we have

(1.20)R * ( 1.25) T  =1.5  RT

So, The percentage by which the arc length has increased is 50 %.

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Answer:

y=5/4x-11

Step-by-step explanation:

tenemos un punto (4,-6) y una pendiente equal a 5/4.

usa la ecuación y=mx+b (m es la pendiente, b es el y interceptar)

porque sabemos la pendiente es 5/4, ahora mismo la ecuación es:

y=5/4x+b

en el punto, x=4, y=-6

podemos sustituir los números en la fómula para resolver b

-6=4(5/4)+b

-6=5+b

-11=b

entonces,

la ecuación de la recta es y=5/4x-11

(¡lo siento mi español no es perfecto!)

Answer: One abutment

Step-by-step explanation: When a fixed bridge is created, there must be at least one abutment of the bridge.

Answer:42

Step-by-step explanation:

Answer:

10$ per hat

Step-by-step explanation:

11$ x 5(shirts) = 55

115-55=60

60$ divided by 6(hats) = 10$ per hat

The number of hours until the city is locked down is given as follows:

229 hours.

The function for this problem is defined as follows:

p(t) = 0.004t³ + 0.001t + 1.

For which the variables are given as follows:

The rate of change of the infection in 72 hours = 3 days is given by:

p'(3).

The derivative of the function is given as follows:

p'(t) = 0.012t² + 0.001.

After the instantaneous rate after 3 days is given as follows:

p'(3) = 0.012(3)² + 0.001

p'(3) = 0.109.

The city will lock down when p'(t) = 10 x p'(3) = 1.09 that is:

0.012t² + 0.001 = 1.09.

0.012t² + 0.001 - 1.09 = 0.

Hence the time in days is obtained as follows:

0.012t² = 1.089

t² = 1.089/0.012

t² = 90.75

\(t = \sqrt{90.75}\)

t = 9.53 days.

Each day is composed by 24 hours, hence the time in hours is obtained as follows:

9.53 x 24 = 229 hours. (rounding to the nearest whole integer).

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According to the information we can establish that there are 11 numbers from 1 to 50 that meet the requirements of the mathematical problem.

To find how many numbers from 1 to 50 are there such that when each is divided by 4, the remainder is 3 we must perform the following procedure:

According to the above, we can establish that there are 11 numbers that meet the requirements of the mathematical problem, from 1 to 11.

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After calculations we find out that The limit of the given function is 0

We have:

lim (x, y)→(0, 0) [x²y * e^y / (x⁴ + 9y²)]

Step 1: Substitute polar coordinates. Let x = r * cos(θ) and y = r * sin(θ). Then, as (x, y) → (0, 0), r → 0.

Step 2: Rewrite the function in polar coordinates:

lim (r→0) [(r² * cos²(θ) * r * sin(θ) * e^(r * sin(θ))) / (r⁴ * cos⁴(θ) + 9r² * sin²(θ))]

Step 3: Simplify the expression by canceling common terms:

lim (r→0) [(r³ * cos²(θ) * sin(θ) * e^(r * sin(θ))) / (r² * (r² * cos⁴(θ) + 9 * sin²(θ)))]

Now, we can cancel r² from both the numerator and the denominator:

lim (r→0) [(r * cos²(θ) * sin(θ) * e^(r * sin(θ))) / (r² * cos²(θ) + 9 * sin²(θ))]

Step 4: Evaluate the limit as r → 0:

Since the numerator goes to 0 as r → 0, and the denominator is always non-negative, the limit of the function as (x, y) → (0, 0) is: 0

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Answer:

105

Step-by-step explanation:

To find area, you have to multiple the width by the height.

15*7=105.

Answer:

Area = 2307.9 cu.cm

Step-by-step explanation:

Height of the cylinder (h) = 15cm

radius (r) = 7 cm

we know ,

\(area \: of \: cyliner = \pi {r}^{2} \times h \\ \: \: \: \: = 3.14 \times {(7cm)}^{2} \times 15cm \\ \: \: = (3.14 \times 49 \times 15) {cm}^{3} \\ = 2307.9 {cm}^{3} \)

Answer:

1 → e

2 → f

3 → b

4 → d

5 → a

Step-by-step explanation:

Look for the corresponding sides by paying attention to the angle pairs since the angles do not change when the polygon is scaled.

The expected winning and the value of that prize, which gives an expected winning is c. $3.13 per ticket.

The expected winnings per ticket in the raffle can be calculated by adding the products of the probability of the expected value of winning each prize. The predicted wins per ticket may be computed as the total of each prize's value multiplied by its probability of winning, i.e.

Expected winnings per ticket

= (1/800) × $400 + (4/800) × $200 + (12/800) × $125 + (30/800) × $60 + (753/800) × $0

If we condense the equation, we obtain:

Calculating the total wins anticipated per ticket

= $0.50 + $1.00 + $1.88 + $0.75 + $0

Expected winnings per ticket = $3.13

Therefore, if you buy a ticket, the expected winnings per ticket are $3.13.

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Complete question:

For a fundraiser, there is a raffle with 800 tickets, each costing $15. 1 ticket will win a $400 prize, 4 tickets will win a $200 prize, 12 tickets will win a $125 prize, 30 tickets will win a $60 prize, and the remaining tickets will win nothing. if you buy a ticket, what are the expected winnings per ticket? question options:

a) $5.36

b) $5.63

c) $5.33

d) $5.66

\( = \frac{ - 1}{ \: \: 2} x + 2 = x + 7\)

\( = \frac{ - 1}{ \: \: \: 2} x + 2 - x = 7\)

\( = \frac{ - 3}{ \: \: \: 2}x + 2 = 7\)

\( = \frac{ - 3}{ \: \ \: 2}x = 7 - 2 \)

\( = \frac{ - 3}{ \: \: \: 2} x = 5\)

\( x = 5 \: \div \frac{ - 3}{ \: \: \: 2} \)

\(x = 5 \times \frac{ \: \: \: 2}{ - 3} \)

\(x = \frac{ - 10}{ \: \: \: 3} \)

\(∴ \frac{ - 1}{ \: \: \: 2} \times \frac{ - 10}{ \: \: \: 3} = \frac{ - 10}{ \: \: \: 3} + 7

\)

There are 117600 ways for the distribution of the prizes.

According to the statement

We have given that the number of people enter in a contest is 50.

And

Number of prizes given identically is 3.

And we have to find that the by how many ways can be prizes be awarded.

So,

Provided that no one can receive more than one prize,

It means The first prize can be given to any of the 50 people, the second to any of the remaining 49, and the third to the remaining of the 48,

Here we use Permutation

Then the possibilities become is

50*49*48= 117600

So there are above written ways to distribute the prizes.

There are 117600 ways for the distribution of the prizes.

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Force 2 has a magnitude of approximately 160.8 Newton.

To find the value of force2, we can use the concept of vector equivalence. If force1 has a magnitude of 258 Newton and a length of vector equal to 45 mm, and force2 has a length of vector equal to 28 mm, we can set up the following proportion:

|force1| / length of vector for force1 = |force2| / length of vector for force2

Substituting the given values:

258 / 45 = |force2| / 28

To solve for |force2|, we can cross-multiply and solve for it:

258 * 28 = 45 * |force2|

|force2| = (258 * 28) / 45

Calculating this expression gives us:

|force2| ≈ 160.8 Newton

Therefore, force2 has a magnitude of approximately 160.8 Newton.

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By graphing a plot point using the x-intercept form, the function (x + 4)2 is shown to be x2 + 16 + 8x.

The subject of mathematics includes quantities and their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A relationship between inputs and outputs in which each input leads to a single, distinct result is known as a function. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

given

(x + 4)²

= x2 + 16 + 8x

By graphing a plot point using the x-intercept form, the function (x + 4)2 is shown to be x2 + 16 + 8x.

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The logistic model and its modification into a growth with threshold model, and you provided four possible differential equations to represent this modified model. The growth with threshold model has two features: 1) the population eventually dies out if the initial population lies below a certain threshold level P*, and 2) when the initial population level is above P*, it will approach the carrying capacity K in the long-term.

Considering these features and the given options, the correct differential equation to represent a growth with threshold model is:

Your answer: C. dP/dt = -P ( P - 7 ) ( P - 11 )

This equation represents the growth with threshold model because it has the desired properties: the population will eventually die out if P is below the threshold value (7 in this case) and will approach the carrying capacity (11 in this case) if P is above the threshold value.

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Answer:

x = -2/4 = -1/2

Step-by-step explanation:

The sum of 4 times a number and 5 is 3.

Let sum = +

times = *

is means =

a number = x

So, 4x + 5 = 3.  Then we solve it !

Subtract 5 to both sides to get 4x = - 2.

Next, we divide 4 to both sides to get x = -2/4 = -1/2

Answer:

The number is -8

Step-by-step explanation:

You can set up the question as (x/4)+5 = 3

x/4 = -2

x = -8

Answer:5/12

Step-by-step explanation:

The number d that forces a row exchange is 10, and the triangular system for that d is:

2x + 5y + z = 0
y - z = 3
4x + 20y + 4z = 8

This system is not singular because it has a third pivot.

The number d that makes this system singular (no third pivot) is 10, as shown below:

2x + 5y + z = 0
4x + 10y + z = 2
y - z = 3

In this case, the third row can be obtained by subtracting the first row from the second row, so there is no third pivot. This means that the system is singular and there are infinitely many solutions.

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First, let's calculate the monthly interest rate (i), which is the APR divided by 12 months:

i = APR / 12 months

i = 5.3% / 12

i = 0.00442 or 0.442%

Next, let's calculate the number of months (n) for the mortgage, which is 15 years multiplied by 12 months:

n = 15 years x 12 months/year

n = 180 months

Now, let's calculate the monthly payment (PMT) using the following formula:

PMT = P * i / \((1 - (1 + i)^(-n)\))

where P is the principal amount, i is the monthly interest rate, and n is the number of months.

PMT = $325,000 * 0.00442 / (1 - \((1 + 0.00442)^(-180)\)

PMT = $2,613.67 (rounded to the nearest cent)

Now, let's create the amortization table for the first two months:

Month | Payment | Interest | Principal | Remaining Balance

1 | $2,613.67 | $1,431.25 | $1,182.42 | $323,817.58

2 | $2,613.67 | $1,428.60 | $1,185.07 | $322,632.51

For each month, the Payment column shows the fixed monthly payment, the Interest column shows the calculated interest based on the remaining balance multiplied by the monthly interest rate, the Principal column shows the portion of the payment that goes towards reducing the principal, and the Remaining Balance column shows the remaining balance after subtracting the principal payment from the previous remaining balance.

The amortization table will continue in this manner for the remaining months until the mortgage is paid off.

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The interest and principal amounts for the first payment are:

Interest = $325,000 * 0.0044167 = $1,426.25

Principal = $2,549.67 - $1,426.25 = $1,123.42

Balance = $325,000 - $1,123.42 = $323,876.58

For the second payment, we start with the new balance of $323,876.58 and apply the formulas again:

Interest = $323,876.58 * 0.0044167 = $1,420.47

Principal = $2,549.67 - $1,420.47 = $1,129.20

Balance = $323,876.58 - $1,129.20 = $322,747.38

To complete the two-month amortization table, we need to calculate the monthly payment, as well as the principal and interest amounts for each payment.

The formula for calculating a fixed-rate mortgage payment is:

\(Payment = P * r * (1 + r)^n / [(1 + r)^n - 1]\)

Where:

P = Principal amount borrowed

r = Monthly interest rate

n = Total number of payments

First, let's calculate the monthly interest rate.

Since the APR is an annual rate, we need to divide it by 12 to get the monthly rate:

Monthly interest rate = 5.3% / 12 = 0.0044167

Next, we need to calculate the total number of payments.

Since this is a 15-year mortgage, and we're completing a two-month amortization table, the total number of payments is:

Total number of payments = 15 years * 12 months per year = 180

Number of payments for two months = 2

Now we can plug these values into the formula to calculate the monthly payment:

Payment = \($325,000 * 0.0044167 * (1 + 0.0044167)^180 / [(1 + 0.0044167)^180 - 1]\)

= $2,549.67

So the monthly payment is $2,549.67

Now we can use this value to complete the two-month amortization table:

Payment Interest Principal Balance

Month 1 $1,426.25 $1,123.42 $323,876.58

Month 2 $1,420.47 $1,129.20 $322,747.38

To calculate the interest and principal amounts for each payment, we use the following formulas:

Interest = Balance * Monthly interest rate

Principal = Payment - Interest

Balance = Balance - Principal

We start with the initial balance of $325,000 and apply the formulas for each payment.

The interest and principal amounts for the first payment are:

Interest = $325,000 * 0.0044167 = $1,426.25

Principal = $2,549.67 - $1,426.25 = $1,123.42

Balance = $325,000 - $1,123.42 = $323,876.58

For the second payment, we start with the new balance of $323,876.58 and apply the formulas again:

Interest = $323,876.58 * 0.0044167 = $1,420.47

Principal = $2,549.67 - $1,420.47 = $1,129.20

Balance = $323,876.58 - $1,129.20 = $322,747.38

And so on, for each subsequent payment.

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The group of participants who are not exposed to the independent variables are the known as the control group.

Good luck! :)

Answer:

B

Step-by-step explanation:

Answer:

43.27

Step-by-step explanation:

(24×24)+(36×36)= 1872

√1872=43.27

Using the Pythagorean theorem:

Hypotenuse = sqrt( 24^2 + 36^2)

Hypotenuse = sqrt(576 + 1296)

Hypotenuse = sqrt(1872)

Hypotenuse = 2sqtt(469) or 43.266