10. A neighborhक्o is being connected to the city sewer system at a cost of $2,600 per lot. The city is covering 40% of the installation cost. Calculate the homeowner's special assessment. $1,560 homeowner's special assessment. $1,563 homeowner's special assessment. $1,562 homeowner's special assessment. $1,561 homeowner's special assessment.

Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

The probability P(X < 14) when μ₁ =.... =μ= 15 and o₁2 = ... = o2/7 = 7 is 0.

Let X1, ..., X7 be independent normal random variables, each distributed as N(μ1, o₁²) for i = 1,...,7. Given that μ₁ = ... = μ = 15 and o₁² = ... = σ²/7 = 7, you want to find P(X < 14) rounded to the second decimal place.

To solve this problem, follow these steps:

1. Calculate the mean and variance of the sum of the random variables.
Since X1, ..., X7 are independent and identically distributed, the mean of their sum is the sum of their means, and the variance of their sum is the sum of their variances. Thus, for the sum S = X1 + ... + X7, we have:

Mean of S = 7 * μ = 7 * 15 = 105
Variance of S = 7 * σ²/7 = 7 * 7 = 49

2. Calculate the standard deviation of the sum.
The standard deviation is the square root of the variance, so:

Standard deviation of S = √49 = 7

3. Calculate the z-score for X < 14.
The z-score is calculated as:

z = (X - Mean) / Standard deviation

Since we want to find probability P(X < 14), we need to find the z-score for X = 14:

z = (14 - 105) / 7 = -91 / 7 = -13

4. Find the probability P(X < 14) using the z-score.
Using the z-score of -13, you can look up the corresponding probability in a standard normal distribution table or use a calculator that provides this functionality. A z-score of -13 is extremely far from the mean, so the probability P(X < 14) is very close to 0.

To the second decimal place, the probability P(X < 14) is approximately 0.00.

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The answer is 0 Siblings: 4 Students and 3 or more siblings: 5 students

The numbers at the bottom reflect the number of siblings they have, and the dots represent the number of students, thus we may deduce:

4 students: 0 siblings

3 students: 1 sibling

3 Students: 2 Siblings

3 Brothers and Sisters: 1 Student

0 Students: 4 Siblings

2 students and 5 siblings

6 Brothers and Sisters: 1 Student

7 Brothers and Sisters: 1 Student

3 or more: 1 + 0 + 2 + 1 + 1 = 5

3 or more siblings: 5 students

What  is statistics?

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Answer:

Are you asking how much per $ gigabyte, if so, it's $24.79

Step-by-step explanation:

Answer:

3√6 {3√6 is the simplest form of √54.}

Step-by-step explanation:

An alternate way of doing the simplification:

We can take √54 and break down 54 inside the radical:

√3×3×3×2

Remember that the square root and square operations are opposite - they cancel each other out. And so if we can find squares, we can cancel them against the square root:

√3²×3×2

And if we want, we can put the square into its own radical:

√3²√3×2

Cancel the square against the square root, and then simplify the other root:

3√6

As, the moon has an elliptical orbit around a planet, the maximum distance between the planet and its moon is 88.54 Mm.

What is an elliptical orbit?

When an object moves around another object in an oval shaped path (ellipse), it is known to be revolving in an elliptical orbit.

The standard form of the equation of an ellipse with center at the origin (0,0) and x - axis major axis is given by

x²/a² + y²/b² = 1

Now,

Given that a moon's elliptical orbit around a planet is modeled by the equation 225x² + 576y² = 176,400, where distance is measured in megameters (Mm). and the planet is the center of the orbit's path.

Since the equation of the path is the equation of an ellipse, we write it in standard form

As standard form of the equation of an ellipse with center at the origin (0,0) and x - axis major axis is

x²/a² + y²/b² = 1  (1) where

a = vertex of major axis and

b = vertex of minor axis

So, converting 225x² + 576y² = 176,400 into standard form, we have

225x² + 576y² = 176,400

225x²/1764,000 + 576y²/1764,000 = 176,400/1764,000

x²/7840 + y²/3062.5 = 1  (2)

Comparing equation (2) with (1), we have that

a² = 7840 and b² = 3062.5

⇒ a = √7840 = 88.54 and

⇒ b = √3062.5 = 55.34

Since a = 88.54 is greater than b = 55.34, so, a is the major axis, and the maximum distance between the planet and its moon is 88.54 Mm

So, the maximum distance between the planet and its moon is 88.54 Mm

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Since the moon's has an elliptical orbit around a planet, the maximum distance between the planet and its moon is 88.54 Mm

How to find the maximum distance between the planet and its moon?

x²/a² + y²/b² = 1  (1) where

a = vertex of major axis and

b = vertex of minor axis

o, converting 225x² + 576y² = 176,400 into standard form, we have

225x² + 576y² = 176,400

225x²/1764,000 + 576y²/1764,000 = 176,400/1764,000

x²/7840 + y²/3062.5 = 1  (2)

Comparing equation (2) with (1), we have that

a² = 7840 and b² = 3062.5

⇒ a = √7840 = 88.54 and

⇒ b = √3062.5 = 55.34

Since a = 88.54 is greater than b = 55.34, so, a is the major axis, and the maximum distance between the planet and its moon is 88.54 Mm

So, the maximum distance between the planet and its moon is 88.54 Mm

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Answer:

8^2+x + 2^ 3x = 32^ 1/2

2^3(2+x) + 2^3x = 2^5^1/2

All two's will cancel out

3(2+x) + 3x = 5^1/2

6+3x + 3x = 5^1/2

6 +6x = 2.23

6x = 2.23 - 6

6x = -3.77

x = -3.77÷ 6

x = -0.63

Answer:

4 units²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A= \(\frac{1}2}\) bh ( b is the base and h the perpendicular height )

Here b = 4 and h = 2 , then

A = \(\frac{1}{2}\) × 4 × 2 = 2 × 2 = 4 units²

If the potential savings per pound, which is $0.50, outweighs the additional costs and inconveniences of driving to the store across town, then it may be worth making the extra drive.

To determine if it's worth the extra drive to the store across town for cheaper chicken, we can compare the savings you would make by purchasing it at the cheaper price with the additional costs and inconveniences associated with the long drive.

Let's calculate the potential savings:

Price at the store across town: $2.89 per pound

Price at your usual neighborhood store: $3.39 per pound

Savings per pound = Price at neighborhood store - Price at the store across town

Savings per pound = $3.39 - $2.89 = $0.50

Now, considering the additional costs and inconveniences associated with driving to the store across town:

1. Distance: Determine the round trip distance to the store across town and estimate the fuel consumption and associated cost. Let's assume the round-trip distance is 10 miles.

2. Fuel Efficiency: Estimate your vehicle's fuel efficiency in terms of miles per gallon (mpg). Let's assume your vehicle gets 25 mpg.

3. Fuel Cost: Determine the current cost of fuel per gallon. Let's assume it is $3.00 per gallon.

4. Calculate the fuel cost for the round trip:

  Fuel cost = (Round trip distance / Vehicle's fuel efficiency) * Fuel cost per gallon

  Fuel cost = (10 miles / 25 mpg) * $3.00 per gallon

  Fuel cost = $1.20

In this case, the cost of fuel for the round trip to the store across town is $1.20.

Now, consider other factors such as the value of your time, traffic conditions, and any additional inconveniences associated with the long drive.

If the potential savings per pound, which is $0.50, outweighs the additional costs and inconveniences of driving to the store across town, then it may be worth making the extra drive. However, if the cost and inconvenience of the longer drive outweigh the savings, it may be more practical to purchase the chicken from your usual neighborhood store.

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To find all angles that are coterminal with a 40° angle, we need to add or subtract multiples of 360°.

The expression that represents all angles coterminal with a 40° angle can be written as:

40° + 360°n

where 'n' represents any integer.

This expression accounts for the fact that adding or subtracting multiples of 360° will result in angles that have the same initial and terminal sides as the 40° angle.

For example, when n = 1, the angle would be 40° + 360°(1) = 400°.

When n = -1, the angle would be 40° + 360°(-1) = -320°.

So, all angles that are coterminal with a 40° angle can be represented by the expression 40° + 360°n, where 'n' is an integer.

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Answer:

52

Step-by-step explanation:

Used hint.

Answer:

52

Step-by-step explanation:

if you are on khan or on something else it is 52

There are two possible cases to consider: either the person is born within 25 miles of Manchester or they are not. We can calculate the probability for each case and then use the total probability theorem to find the final answer.

Let's denote the event that a person is born within 25 miles of Manchester by A and the event that they support Manchester United by B. We know that:
P(A) = 1/20 (given in the problem)
P(B|A) = 7/10 (given in the problem)
P(B|not A) = 1/10 (given in the problem)
We want to find P(A|B), the probability that a person who supports Manchester United was born within 25 miles of Manchester. We can use Bayes' theorem to write:
P(A|B) = P(B|A)P(A) / [P(B|A)P(A) + P(B|not A)P(not A)]
Here, P(not A) = 1 - P(A) = 19/20.We can substitute the given probabilities in this formula and simplify:
P(A|B) = (7/10)*(1/20) / [(7/10)*(1/20) + (1/10)*(19/20)]
P(A|B) = (7/200) / (7/200 + 19/200)
P(A|B) = (7/26)
Therefore, the probability that a person who supports Manchester United was born within 25 miles of Manchester is 7/26.

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Answer:

opposite meanings

Step-by-step explanation:

antonyms usually means a word that's the opposite of another word. Examples: hot is the opposite of cold and cold is the opposite of hot

Answer:

B

Step-by-step explanation:

The ratio of water to mix is 1:4.

Answer:

you have not gave the answer

Step-by-step explanation:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Divide the numbers first because that's the easy part and we've been dividing since like 5th grade.

1.6/.2 = 8. Now for the exponents.

When you divide like bases, you subtract the exponents. Our bases are both 10's, so they are like. Subtracting the exponents gives us 10³. So the answer is 8 × 10³, choice B.

56 - 22 can be rewritten using the Distributive Property and the GCF of the numbers as 2 * 17.

GCF stands for Greatest Common Factor. In mathematics, the GCF is the largest positive integer that divides two or more integers without leaving a remainder. It is also known as the greatest common divisor (GCD), highest common factor (HCF), or greatest common measure (GCM). To rewrite 56 - 22 using the Distributive Property and the GCF of the numbers, we first need to find the greatest common factor (GCF) of 56 and 22. The GCF of 56 and 22 is 2.
Using the Distributive Property, we can write:
56 - 22 = 2 * 28 - 2 * 11
Now, we can factor out the GCF of 2: 56 - 22 = 2 * (28 - 11)
Simplifying the expression inside the parentheses, we get:
56 - 22 = 2 * 17
Therefore, 56 - 22 can be rewritten using the Distributive Property and the GCF of the numbers as 2 * 17 = 34.

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Answer:

(-0.6)^3

Step-by-step explanation:

Here, we want to write the given expression in exponential terms

From what we have, there is a repetitive term

For example, if we had;

(x)(x)(x)

Exponentially, we will have this written as x^3

Using the above technique in what we have at hand

(-0.6)(-0.6)(-0.6) = (-0.6)^3

For supplementary angles 13x + 14 = A, 11x + 28= B​ and A is parallel B, A=B

Therefore x=7

A and B's corresponding angles are congruent if A and B are parallel. As a result, we may equalize the formulas for the respective angles and find x:

13x + 14 = 11x + 28

2x = 14

x = 7

Consequently, we must fix x equal to 7 in order to make A and B parallel. When we insert this value into the formulas for A and B, we obtain:

A = 13(7) + 14 = 105

B = 11(7) + 28 = 105

The corresponding angles of A and B are now congruent, and A and B are equal and parallel.

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Answer:

108.73608

Step-by-step explanation:

Step-by-step explanation:

Given expression:

     2x - y + 3  = 0

The co-ordinates of the points at which the line intersects the coordinate axes is unknown?

Now,

     2x - y + 3 = 0

 Let us rearrange the equation;

        -y = -2x - 3

Multiply through by (-1);

        y = 2x + 3

the point where the line intercept the y- axis, x = 0

  so,

          y = 2(0) + 3  = 3

Coordinates  = (0,3)

the point where the line intercepts the x-axis, y = 0;

       0 = 2x + 3

      2x  = -3

       x  = \(\frac{-3}{2}\)

Coordinates  = (\(\frac{-3}{2}\) , 0)

Answer:

Step-by-step explanation:

E

Answer:

answer 3/4 cm3

1/2*1/2*3cm3= 3/4 cm3

Answer:

Step-by-step explanation:

Let M(x,y) be the median of ΔABC through A to BC.M will be the midpoint of BC.x1​=5,y1​=3x2​=3,y2​=−1By midpoint formula, x=(x1​+x2​)/2∴x=(5+3)/2=8/2=4By midpoint formula, y=(y1​+y2​)/2∴y=(3+(−2))/2=2/2=1Hence the co-ordinates of M are (4,1).By diatnce formula, d(AM)=[(x2​−x1​)2+(y2​−y1​)2]​x1​=7,y1​=−3x2​=4,y2​=1

Answer:

Still (0,6)

Step-by-step explanation:

The point is actually on the y-axis.  It can't change in a y-axis reflection, only in an x-axis reflection.

Answer:

3, square root of 10, 5.3

Answer:

Step-by-step explanation:

a) f(t) = 110(0.95)^t

0.95<1, so the function shows 5% decay

b) f(t) = 1.08(1.07)^t

1.07 > 1, so the function shows 7% growth

Answer:

I would say that it's A 1/3 because it's the slope and that's what a rate of increase is