Find an equation of the line parallel to x − 1 = 0 that passes through the point ( − 2 , 10) . If possible, write the equation in slope-intercept form.

Answer:

250

Step-by-step explanation:

everything u need is in the picture

The mean number of dogs per household in a small town is 1.8, with a variance of 2.64 and a standard deviation of approximately 1.62.

To calculate the mean of the probability distribution, we multiply each possible number of dogs by its corresponding probability, and then add up the products:

Mean = (0 x 0.3) + (1 x 0.2) + (2 x 0.15) + (3 x 0.1) + (4 x 0.1) + (5 x 0.15) = 1.8

So the mean number of dogs per household in this small town is 1.8.

To find the variance of the probability distribution, we first need to calculate the squared deviation of each possible number of dogs from the mean, weighted by its probability:

\((0 - 1.8)^2 x 0.3 + (1 - 1.8)^2 x 0.2 + (2 - 1.8)^2 x 0.15 + (3 - 1.8)^2 x 0.1 + (4 - 1.8)^2 x 0.1 + (5 - 1.8)^2 x 0.15 = 2.64\)

Therefore, the variance of the probability distribution is 2.64.

Finally, the standard deviation is the square root of the variance:

Standard deviation = sqrt(2.64) ≈ 1.62 (rounded to two decimal places)

So the standard deviation of the probability distribution is approximately 1.62.

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The number of cut & styles that Moshde can do is 47.

The total amount that Moshde can save is the difference between the total revenue and the total cost.

Amount that can be saved = total revenue - total cost

$1246 = (charge per haircut x number of hair cuts) - $1010

$1246 = ($49 x h) - $1010

$1246 = $49h - $1010

In order to determine the value of h, take the following steps:

Combine and add similar terms:

$1246 + $1010 = 49h

2256 = 49h

Divide both sides of the equation by 49

h = 2256 / 49

h = 46.04

h = 47

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114 is 95% of 120

100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.

114 is 95 Percent of What Number?

Formula = Number x 100

Percent = 114 x 100

95 = 120

The following shows the steps to derive this formula and find out 95% of the number is 114.

Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.

114

95% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

95Y = 114 x 100

95Y = 11400

Y = 11400

100 = 120

The P-value is 0.197.Round off to 3 decimal places. P-value = 0.197 Hence, the test statistic and P-value are -0.853 and 0.197 respectively.

Given that a simple random sample has been selected from a normally distributed population with n = 25, x = 24.4 years, and s = 9.2 years.

Test the claim that the mean age of the prison population in one city is less than 26 years.Using the formula to calculate test statistic.= [x - μ] / [s / √(n)]

Here, x = 24.4 years, μ = 26 years, s = 9.2 years, n = 25, and α = 0.05

Substitute the given values in the formula and solve for the test statistic.= [24.4 - 26] / [9.2 / √(25)]= -1.6 / [9.2 / 5]= -1.6 / 1.84= -0.853

Therefore, the test statistic is -0.853.

Round off to 3 decimal places.Test statistic = -0.853

Using the p-value method to calculate the P-value.The null hypothesis H0: μ ≥ 26

The alternative hypothesis H1: μ < 26α = 0.05

Since it is left-tailed test, the P-value is the area to the left of the test statistic in the t-distribution with df = n - 1 = 25 - 1 = 24 at α = 0.05

Using the t-distribution table, the P-value is found to be 0.197.

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8 tons = 16000 pounds

conversion:

1 tons ➟ 2000 pounds

8 tons ➟ (2000 * 8) pounds

8 tons ➟ 16000 pounds   ⚡⚡

The amount 8 tons in pounds can be written as 16, 000 pounds.

To convert 8 tons to pounds,

we need to know that 1 ton is equal to 2,000 pounds.

We know that when a smaller unit converted to big unit then we have to multiply.

So, the conversion of 8 tons to pounds

= 8 tons x 2,000 pounds/ton

= 16,000 pounds

Thus, the amount 8 tons in pounds can be written as 16, 000 pounds.

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Answer:

6 days

Step-by-step explanation:

144/24(hours in a day)=6

Answer:

Step-by-step explanation:

6 Days are equal to 144 hours. Thus, option A is the answer.

We know that there are 24 hours in a day so,

when 144 hours are divided by 24 hours.

It will be 6 Days.

144/24 = 6

Therefore, 6 Days are the answer.

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Answer:

\(\displaystyle f^{-1}(x)=\frac{3+x}{x-2}\)

Step-by-step explanation:

We have the function:

\(\displaystyle f(x)=\frac{2x+3}{x-1}\)

Find the inverse of f(x). First, we call y=f(x):

\(\displaystyle y=\frac{2x+3}{x-1}\)

We have to solve for x. Multiply by x-1:

\(y(x-1)=2x+3\)

Operate:

\(yx-y=2x+3\)

Join all the x's to the left side and move the rest to the right side:

\(yx-2x=3+y\)

Factor:

\(x(y-2)=3+y\)

Solve for x:

\(\displaystyle x=\frac{3+y}{y-2}\)

Interchange the variables:

\(\displaystyle y=\frac{3+x}{x-2}\)

This is the inverse function:

\(\boxed{\displaystyle f^{-1}(x)=\frac{3+x}{x-2}}\)

Elementary row operations are always applied to an augmented matrix after the solution has been found. So the option D is correct.

Elementary row operations:

1. It is possible to convert a system of linear equations into an equivalent system, or into a new system of equations that has the same solutions as the original system, using these straightforward techniques.

2. In order to convert a matrix to row echelon form, Gaussian elimination is used.

3. Simple row operations on an augmented matrix never alter the underlying linear system's solution set.

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Answer:

v=m/d

Step-by-step explanation:

D=m/v

D*v=m

d*v/d=m/d

v=m/d

The required solution for v is v = m/D.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign =.

The given equation is,

D = m/v

To solve for v we need to isolate v to one side and other variables to another side.

Therefore multilpying the equation both the side by we get,

Dv = v*m/v

Solving we obtain,

Dv = m

Now divide the equation both side by D we obtain,

Dv/D = m/D

Solving we obtain,

v = m/D

which is the required solution for v.

Thus, the required solution for v is v = m/D.

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Answer:

Part A 12 ≤ 6x ≤ 36

Part B 2 ≤ x ≤ 6

Step-by-step explanation:

Answer:

5 × 2= 10

5 × 4=20

5 × 5=25

5 × 10=50

5+5+5+5=20

there your answer

Step-by-step explanation:

you slow -_-

Answer : 5 x 4 (Option C)

Step-by-step explanation :  5 + 5 + 5 + 5 = 20

                                            By trial & error method, we get

                    5 x 2 = 10 ≠ 20

                    5 x 4 = 20

                    5 x 5 = 25 ≠ 20

                    5 x 10 = 50 ≠ 20

Hence 5 x 4 is the right answer

You can either follow the trial & error method or the following method !!

5 + 5 + 5 + 5 has ' 4 ' fives

Hence, 5 + 5 + 5 + 5 = 5 (since it is the no) x 4 (since it is the no of times 5 is repeating)

Hence 5 x 4 is the right answer

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The question wil be solved using principle of similar triangle

Considering Triangle ABC and Triangle CDB

/CB/= x = 30m

Then /AB/ = Y Can be obtained from triangle ABC

/AB/ = Y = 40M

Then P can then be obatined from triangle CDB

Again applying pythaoras theorem

Question A :How far is the spot on the Beach from the Parking lot?

Answer: The distance is P in the triangle CDB = 24m

Question B: How far will he have to walk from parking lot to refreshment stand

Answer: The distance Y in triangle ABC represents this value, which is equal to 40m

Answer:

A) Each point will translate 1 unit left and 2 units down

Step-by-step explanation:

I got it right in my test Answer A

Answer:

y=5

Step-by-step explanation: 8+2=10 so 10/2=5

The equation of the quadratic function C(t) is given as follows:

C(t) = t² + 3.

The quadratic function of vertex(h,k) is given by the rule presented as follows:

y = a(x - h)² + k

In which:

The vertex is the turning point of the function, where it changes from decreasing to increasing, or vice versa, hence:

(0,3).

Then:

y = at² + 3.

When x = 1, y = 4, hence the leading coefficient a is obtained as follows:

4 = a(1)² + 3

a = 1.

Hence the function is given as follows:

y = t² + 3.

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Answer:

3(3a+15b)

Step-by-step explanation:

GCF: 3

Find all the prime factors between 3 and 15

3: 1,3 1*3

15: 1,3,5,15 (1*15 3*5)

3 is the GCF between the 2 numbers.

Answer:

x = 11°

Step-by-step explanation:

Because m is parallel to n,

7x+14 and 9x-8 are corresponding angles.

So, 7x+14 = 9x-8

Subtract 7x and add 8 on both sides,

9x - 7x = 14 + 8

2x = 22

Divide by 2,

x = 11°

Answer:

\(40\).

Step-by-step explanation:

The range of a set of numbers is the difference between the maximum and minimum numbers.

In this set of number, \(50\) is the maximum while \(10\) is the minimum. Hence, the range would be \(50 -10= 40\).

Answer: It is a 2:3 Ratio

Answer:

Because the kind of compounfds that you try to determine using paper chromatography (organic compounds) are usually not soluble in water. Furthermore, water could react chemically with some of this compounds, because it's a very reactive molecule. You need organic solvents that are mostly inert.

The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

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Steps to solve:

3(5x - 8) = 6x + 39

~Distribute left side

15x - 24 = 6x + 39

~Add 24 to both sides

15x = 6x + 63

~Subtract 6x to both sides

9x = 63

~Divide 9 to both sides

x = 7

Best of Luck!

Answer: 3cups

Step-by-step explanation:

List all of the solutions.

3cups = 48 = y = cups = x =

Answer:

3cups

Step-by-step explanation:

Answer:

\(\sf H = -10.8\)

________

\(\sf Solve\)

         \(-5.4 + 5.4 = -10.8\)

________

now, note that if this was actually subtracting, logically, the answer would be H = 0

however, this is an addition problem, meaning to add a negative and a positive integer to get a negative integer.

\(\frac{7}{8} (-32-48x) + 36 = \frac{2}{3} (-33x-18) -10x\)

\(\frac{7}{8} (-32)+\frac{7}{8} (-48)+36=\frac{2}{3} (-33x)+\frac{2}{3} (-18)-10x\)

\(-28-42+36=-22x-12-10x\)

\(22x+10x=28+42-36-12\)

\(32x=22\)

\(x=\frac{22}{32} =\frac{11}{16} =0,6875\)

Answer: x = 0.6875

Ok done. Thank to me :>

Answer:

x = 2

Step-by-step explanation:

7/8 (-32-48x) + 36 = 2/3 (-33x-18) - 10x

Multiply,

7(-32-48x)/8 + 36 = 2(-33x-18)/3 -10x

Simpliy,

-336(3x+2) + 864 = -48(11x+6) - 240x

Expand,

-1008x + 192 = -768x - 288

Simplify,

-1008x = -768x -480

Simplify,

-240x = -480

Simplify,

x = -480/-240

Answer,

x = 2

Answer:

Step-by-step explanation:

First, you could factor 2 out of the whole thing.  The result would be 2(x^2-4x-45). Now we find the factors of 45 which are 1, 45, 5, 9, 15, 3. We have to find the pair that adds up to 4, and multiply to get 45. After some guess and check, we can find that 5 and 9 are those numbers. Now we have to get the right signs. Since the result is a negative number for -8k, and -90, the number that is a negative must be less than the other negative. -9<-5, so the answer would be 2(x-9)(x+5)

Answer:

it would the letter B

Step-by-step explanation:

the y intercept for function 1 is 3 and the y intercept for function 2 is 5

Answer:

x = 3

Step-by-step explanation:

Given :

AE = 3, EB = 4, CE = x, and ED = x +1,

Equating chord AB and CD

AE*EB = CE*ED

3*4 = x*(x+1)

12 = x² + x

x² + x - 12 = 0

x² +4x - 3x - 12 = 0

x(x + 4) - 3(x + 4)

(x + 4) = 0 or (x - 3) = 0

x = - 4 or x = 3

Distance can't be negative :

x = 3