What is the slope for (2, -12), (18, 15)

The distribution value's skewness Pearson coefficient is 2.5.

Given that the median is 12 and the standard deviation is 6, the mean value is 17.

The difference between the mean and median is multiplied by three to determine Pearson's coefficient of skewness. By dividing the outcome by the standard deviation, A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance.

To determine Pearson's coefficient of skewness, use the following formula:

Skewness=(3(Mean-Median))÷standard deviation

Replace the values there with,

Skewness=(3(17-12))÷6

Skewness=(3×5)÷6

Skewness=5÷2

Skewness=2.5

Therefore, for a distribution with a mean of 17, a median of 12, and a standard deviation of 6, the value of the Pearson coefficient of skewness is 2.5.

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Answer: diamond

Step-by-step explanation:

The diamond symbol is used to indicate a condition that must be tested in a flowchart. It is used to represent a decision point, where the flow of the process will depend on the outcome of the test. The diamond symbol is typically used in conjunction with other symbols, such as arrows or ovals, to show the flow of the process.

A. The arrival rate per hour must increase to at least 10 customers per hour to justify a second telephone boothe.

B. The arrival rate per hour must increase by at least 1.6 customers per hour to justify a second telephone booth under the new criterion.

To get the how much arrival rate must increase, we must get the expected waiting time for a customer.

Assuming;

X is the number of customers who arrive per hour

Y is the length of a phone call in minutes.

Then, X follows a Poisson distribution with λ = 4 (since 4 customers per hour use the phone on average)

Y follows a negative exponential distribution with mean μ = 5 (since the mean length of a phone call is 5 minutes).

Total time is given as sum of waiting time and length of call;

T = W + Y

The waiting time W is the difference between the time a customer arrives and the time that the phone becomes available. waiting time follows a uniform distribution where mean= 1/λ (since the arrivals follow a Poisson process);

Then we have;

E(W) = 1/(2λ) = 1/8 hours

The expected total time T that a customer spends at the phone booth is:

E(T) = E(W) + E(Y) = 1/8 + 5/60 = 11/48 hours

For a second telephone booth to be justifiable, new customer that arrives must wait 3 minutes or longer for the phone.

E(W) ≥ 1/20

To get λ,

1/(2λ) ≥ 1/20

λ ≤ 10

This means that, the arrival rate per hour must increase to at least 10 customers per hour to justify a second telephone booth.

b. Getting how much the arrival rate per hour must increase to justify a second telephone booth under the new criterion,

we need to find the probability that a customer has to wait at all.

Let P(W > 0) be the probability that a customer has to wait.

P(W > 0) = 1 - P(W = 0)

The waiting time W follows a uniform distribution with mean 1/λ, so we have:

P(W = 0) = 1 - λ/4

The length of a phone call Y follows a negative exponential distribution with mean 5 minutes = 1/12 hours, so we have:

P(Y > t) = e^(-μt) = e^(-t/12)

The probability that a customer has to wait is given as;

P(W > 0) = 1 - P(W = 0) = λ/4

To justify a second telephone booth, the probability of having to wait at all must exceed 0.6. so we have;

P(W > 0) > 0.6

λ > 2.4

The arrival rate per hour must increase by at least 2.4 - 4 = 1.6 customers per hour to justify a second telephone booth under the new criterion.

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Answer:

2x + 15

Step-by-step explanation:

Twice of a number is just the number times 2; so, if x is a number, then twice x is 2x. The sum of 15 and a number is just the number plus 15; so, the final expression will be 2x + 15.

Hope this helps :)

Answer:

No, this is not a correct amount. The correct amount is $203.88

Step-by-step explanation:

The computation of the credit card amount is shown below:

Given that

The credit card is $220.87

But if we calculate the credit card amount, so it would be

= 12 months × 16.99

= $203.88

hence, the credit amount is $203.88

And, the given amount is wrong

So, the correct amount is $203.88

Answer:

1: 12 km

2: 10.5 km

3: 3.5 mm

4: 12 m

5: 5 m

6: 49.5 cm

Step-by-step explanation:

To find the area of any triangle, multiply the height by the base, then divide by two.

Triangle are equal (H x B) ÷ 2

Assuming that "in an easterly direction" means that the displacement from O to P is in the positive direction, the position of point P can be expressed as +50 km.

Positive numbers are typically expressed with no sign or with a plus sign (+) in front of them. For example, +5 or 7. Negative numbers are expressed with a minus sign (-) in front of them. For example, -3 or -10.

These expressions are used to differentiate between values that are greater than zero (positive) and those that are less than zero (negative).

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Answer:

You put the 250-gram weight and one 50-gram weight on one side. Then you put the two 100-gram weights and two 50-gram weights on the other side. You leave the last 50-gram weight out of the equation.

Step-by-step explanation:

Feel free to give brainliest.

Have an extraordinary day!

In the test score of Mr. Singh student, the measure of mean best represent the test data. The value of mean and median is 69.5 and 89.5 respectively.

The mean of the data is the average value of the given data. The mean of the data is the ratio of sum of all the values of data to the total number of values of data.

The median of the data is the middle value of the data set when it arrange in ascending or descending order.

Test score of Mr. Singh's student are,

Scores: 89, 99, 80, 5, 90, 0, 100, 95

\(\overline X=\dfrac{89+99+80+5+90+0+100+95}{6}\\\overline X=69.75\)

Thus the mean of the test score is 69.75.

Arrange the test score in ascending order as,

Score; 0,  5, 80, 89, 90, 95,  99, 100

In the above arranged data, we have two middle values as, 89 and 90. Thus the median of the test score is,

\(m=\dfrac{89+90}{2}\\m=89.5\)

Thus the median of the test score is 89.5.

The data is not skewed for the test score. Thus the mean value of center tenancy represent best the test data.

Thus, In the test score of Mr. Singh student, the measure of mean best represent the test data. The value of mean and median is 69.5 and 89.5 respectively.

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Answer:

The Median should be 89.5

And the mean should be 69.75

Step-by-step explanation:

I hope that helped

Answer:

D: 36 meters

Step-by-step explanation:

Given that

A machine weaves 1  by 8 of a 96 meter on one day

On next day  it weaves 2 by 7 of what was left

We need to find out the number of meter woved in these two days

So for first day, it is

= 1 ÷ 8 × 96 meter

= 12 meter

In the second day, it is

= (96 - 12 meter) × 2 ÷ 7

= 24 meter

So, the total woved in these two days

= 12 meter + 24 meter

= 36 meter

Hence, the option d is correct

The sample of rock if it has 15.625 grams of uranium -235 to decay will be 3.52 billion years. Then the correct option is B.

A radioactive material's half-life is the amount of time needed for half of the nucleus of an atom to decompose.

The half-life of uranium -235 is 703.8 million years.

A sample of rock started with 500 grams of uranium -235.

500 grams - 250 grams ⇒ 703.8 million years

250 grams - 125 grams ⇒ 703.8 million years

125 grams - 62.5 grams ⇒ 703.8 million years

62.5 grams - 31.25 grams ⇒ 703.8 million years

31.25 grams - 15.625 grams ⇒ 703.8 million years

Then the total number of years will be

Total years = 703.8 + 703.8 + 703.8 + 703.8 + 703.8

Total years = 3519 million years

Total years = 3.519 billion years

Total years = 3.52 billion years

The sample of rock if it has 15.625 grams of uranium -235 to decay will be 3.52 billion years.

Then the correct option is B.

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Answer:

$30+$50x

Step-by-step explanation:

$30 that she has plus $50 plus x week(s)

Answer:

-4.5. 2.75+(2)+(-5.25) = -4.5. hope this helps

Step-by-step explanation:

- Zombie

Answer:

A)

Step-by-step explanation:

B is in the middle, so it has to be in the middle of the angle name.

this rules out C, D, and B

making A the answer by the rule of elimination.

Answer:

15.7

Step-by-step explanation:

5 x 3.14(pi) = 15.7

Answer:

40 mg

Step-by-step explanation:

The ratio is 10:9 because 50:45 divided by 5 gives 10:9

if you divide 36/9 that gives you 4, then multiply your ratio by 4 to get 40:36.

TRUNCATED to one decimal place, it's 50.2

ROUNDED to one decimal place, it's 50.3

The round-off of 50.272 to 1 decimal place using rules of rounding

numbers are 50.3.

Rounding off numbers means making a number simpler by adjusting it to its nearest place according to certain rules.

Rounding a number to one decimal place means keeping only the first digit after the decimal point and neglecting the rest. In this case, the digit in the second decimal place is 7, which is greater than or equal to 5. As per the rounding rules, if the digit is greater than 5, the preceding digit is increased by 1.

So, 50.272 becomes 50.3 when rounded to one decimal place.

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Answer:

125.55 m.

Step-by-step explanation:

We need to find the volume of the bricked wall.

= total volume - volume of the windows - volume of the gateway.

= 4 * 0.4 * L - 2 * 2.5 * 1 * 0.4 - 2 * 3 * 0.4  m^3.   (where L is the length of the wall).

Also this volume = number of bricks * volume of 1 brick

= 24560* 0.2^3.

So

4 * 0.4 * L - 2 * 2.5 * 1 * 0.4 - 2 * 3 * 0.4 = 24560* 0.2^3  

1.6L - 2 - 2.4 = 196.48

1.6L = 200.88

L = 125.55 m.

1/64 please mark brainiest

Answer:

  x = 7

Step-by-step explanation:

The sum of the interior angles is 90°, so you have ...

  (7x +8) +(5x -2) = 90

  12x = 84 . . . . subtract 6; next, divide by 12

  x = 7

The distribution of the given function is a uniform distribution.

A strictly increasing function is the one which increases continuously in a given interval. If f-1(u) is a strictly increasing function of u, then the distribution of f-1(u) is the same as that of u. This is because a strictly increasing function preserves the rank ordering of its input, so if u-1 and u-2 are two random variables with a uniform distribution on the interval (0,1), then the rank order of f-1(u-1) and f-1(u-2) will be the same as the rank order of u-1 and u-2. Since the uniform distribution is defined by the rank order of its values, this means that the distribution of f-1(u) is also uniform on the interval (0,1).

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Answer:

the measure of the missing length is 3 mi

Step-by-step explanation:

hey hey hey hey

Answer:

s=3 miles

Step-by-step explanation:

relationship

12/4=s/1

s=12/4=3

The expression ∫C (F →) · (d → r →) is the line integral of the dot product between the vector field F → and the differential displacement vector d → along the curve C, measuring their alignment along the curve.

The expression ∫C (F →) · (d → r →) represents the line integral of the dot product between a vector field F → and a differential displacement vector d → along a curve C.

Let's break down the components:

- ∫C denotes the line integral, which represents the cumulative sum of a quantity along a curve. In this case, we integrate over the curve C.

- F → represents a vector field, where each point in space has an associated vector. The vector field F → could represent physical quantities such as velocity, force, or any other vector-valued property.

- (d → r →) represents the differential displacement vector along the curve C. This vector describes an infinitesimally small displacement along the curve at each point.

- · denotes the dot product between two vectors. The dot product of two vectors yields a scalar quantity.

By combining these components, the expression ∫C (F →) · (d → r →) calculates the sum of the dot products between the vector field F → and the differential displacement vector d → as we move along the curve C. This sum is taken over the entire curve, resulting in a single scalar value.

In simpler terms, this line integral measures how much the vector field F → is aligned with the tangent vector to the curve C at each point, and it accumulates this alignment along the entire curve. It provides information about the overall effect or flow of the vector field along the curve C.

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Answer:

1 1/12

Step-by-step explanation:

You take 2 3/4 and subtract it by 1 2/3

Make them into improper fractions 11/4 - 5/3

you multiply 11/4 by 3 and 5/3 by 4 to get a common denominator

you get 33/12 - 20/12 and get 13/12

then make it a mixed number

hope this helps :)

Answer: A

Step-by-step explanation:

Answer:

numerator - the number above the fraction line; tells how many parts of the whole exist

mixed number - a number with an integer part and a fraction part

denominator - the number under the fraction line; tells how many equal parts the whole was broken into

common fraction - a fraction with a whole number for the numerator and a whole number other than zero for the denominator

like denominators - two fractions with the same denominator

improper fraction - a fraction in which the numerator is larger than the denominator

Surface area of remaining portion = Surface area of sphere - Total surface area of two caps

=\(380.13 - 314.16 - 71.56h= 65.97 - 71.56h in²\)

Thus, the total surface area of the remaining portion is 65.97 - 71.56h in².

We're given a wooden sphere of diameter 11 in.

It's said that two equal caps have been removed from it. We need to determine the total surface area of the remaining portion.Let's begin by finding the volume of the sphere:Volume of sphere = (4/3)πr³

Where r = radius of sphereRadius of sphere = diameter/2 = 11/2 = 5.5 in.Volume of sphere = 380.13 Now, we need to find the volume of the two caps that have been removed from the sphere. Let's assume that the height of each cap is 'h'.We know that the radius of the sphere is 5.5 in. So, the radius of each cap is also 5.5 in. Height of each cap = hTotal volume of two caps = Volume of cylinder = \(πr²h= π(5.5)²h= 94.98h\) in³Since two equal caps have been removed from the sphere, the total volume of the remaining portion can be given as:Volume of remaining portion = Volume of sphere - Total volume of two caps= 731.24 - 94.98h in³Now, we can find the surface area of the remaining portion. We know that a spherical cap has two surfaces - one curved and one flat. Hence, two caps will have four surfaces.Let's first find the surface area of the sphere. The surface area of a sphere is given as:Surface area of sphere = 4πr²= 4π(5.5)²= 380.13 in²Now, we need to find the surface area of each cap. We know that a spherical cap has two surfaces - one curved and one flat.Curved surface area of each cap = πr²Flat surface area of each cap = πrhTotal surface area of each cap = πr² + πrh= π(5.5)² + π(5.5)h= 78.54 + 17.89h in²

Total surface area of two caps =\(4πr² + 4πrh= 4(78.54) + 4(17.89h)= 314.16 + 71.56h in²\)Now, we can find the surface area of the remaining portion.

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The expected value of the discrete distribution is of 20.97, hence option C gives the correct answer.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

Hence, according to the table, the expected value is given by:

E(X) = 12 x 0.08 + 18 x 0.15 + 20 x 0.31 + 22 x 0.08 + 24 x 0.15 + 25 x 0.23 = 20.97.

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The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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\(\frac{j^{3}k }{h^{0} }=1\)

An algebraic expressions is an expressions in which it contains the variables and constants, along with algebraic operations (addition, subtraction, multiplication, etc.). Expressions are made up of terms.

Given, h=8, j = -1 and k=-12.

To find :

\(\frac{j^{3}k }{h^{0} }\)

The given is the expressions made up of variables as j, k, h and constants as 3,0 and operations as exponents and division.

To find the value of the given term we have to substitute the given values.

\(\frac{j^{3}k }{h^{0} }\) = \(\frac{(-1)^3*-12}{8^0}\)

Solve the denominator we get, \(8^{0} = 1\)

Then the above term becomes,

\(\frac{(-1)^3*-12}{8^0} = \frac{(-1)^3*12}{1}\)

Evaluate all exponents we get, \(-1^{3} =-1\)

, \(\frac{-1*-12}{1}\) = 12

Hence,\(\frac{j^{3}k }{h^{0} } =1\)

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