Which equation correctly represents the distance between −15.1 and −3.9 on a number line?

|−3.9−(−15.1)|=11.2
−3.9−15.1=−11.2
|−15.2+(−3.9)|=19
−15.1−3.9=−19

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What is Statistics?

Data gathering, analysis, interpretation, presentation, and organization are all topics covered in the study of statistics. Data collection and summarization are therefore mathematical disciplines. As a subset of applied mathematics, statistics can also be referred to as such. Uncertainty and variation, however, are two crucial and fundamental concepts in statistics. Only by statistical analysis can the uncertainty and variation in many sectors be determined. Probability, which has a significant impact on statistics, essentially determines these uncertainties.

Both of these tools can assist you in managing your time and schedule and offer guidance on how to get the most out of your time.

The My Study Bar, or M3, is used by students at SNHU. You can manage your academics with the aid of an AI assistant. It enables you to make study plans and monitor your performance against them.

SNHU offers a number of programs and advise on time management that give students action steps to take in order to enhance their time management abilities. M3 provides you with feedback about how well you're doing and what to do next, based on your schedule.

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Answer:

b = 14

c = -2

d = 74

Step-by-step explanation:

use calculator

b = 4 - (-10)

c = 6 ÷ (-3)

d = (7×7) + (5×5)

The measures of the missing angles of the right triangles are, respectively:

In this problem we find eight cases of right triangles, in which we need to determine the measure of missing angles. This can be done by making use of any of the following three trigonometric functions:

sin θ = y / r

cos θ = x / r

tan θ = y / x

Where:

Now we proceeed to find the measure of missing angles:

Case 25

tan θ = 6 / 9

tan θ = 2 / 3

θ ≈ 33.69°

Case 26

sin θ = 4 / 5

θ ≈ 53.130°

Case 27

cos θ = 37 / 40

θ ≈ 22.332°

Case 28

tan θ = 11 / 19

θ ≈ 30.069°

Case 29

sin θ = 29 / 44

θ ≈ 41.231°

Case 30

cos θ = 30 / 51

cos θ = 10 / 17

θ ≈ 53.968°

Case 31

tan θ = 45 / 25

tan θ = 9 / 5

θ ≈ 60.945°

Case 32

sin θ = 24 / 60

sin θ = 2 / 5

θ ≈ 23.578°

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The solution to the system of equations for this problem is given as follows:

a. (1, -1, -4).

The system of equations for this problem is defined as follows:

The augmented matrix for the system is given as follows:

\(\left[\begin{array}{cccc}2&1&1&-3\\3&-5&3&-4\\5&-1&2&-2\end{array}\right]\)

To place in row-echelon form, first only the first row of the first column may have a diagonal different of zero, hence the transformation is given as follows:

Hence the matrix is given as follows:

\(\left[\begin{array}{cccc}2&1&1&-3\\0&-13&3&1\\0&-7&-1&11\end{array}\right]\)

Now the element at the third row and second column must be of zero, hence the transformation is of:

R3 = 13R3 - 7R2

Thus the matrix is of:

\(\left[\begin{array}{cccc}2&1&1&-3\\0&-13&3&1\\0&0&-34&136\end{array}\right]\)

Thus the solution for z is given as follows:

-34z = 136

34z = -136

z = -136/34

z = -4.

The solution for y is given as follows:

-13y + 3z = 1.

13y = 3z - 1

13y = -13

y = -1.

The solution for x is given as follows:

2x + y + z = -3.

2x = -3 - y - z

2x = -3 + 1 + 4

2x = 2

x = 1.

Meaning that option a is correct.

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Answer:

-2/3

Step-by-step explanation:

Rise= -2

Run= 3

-2/3

Answer:2.99x+12.99y=43.93

Step-by-step explanation:

The equation that models the purchases she made with $43.92 is :  

2.99\(x\) + 12.99\(y\) = 43.92

We have -

We have to find the equation that models her purchase of $43.92.

We can express the total money in terms of \(n\) and \(m\) using the following mathematical relation -

   \(Total\; Money\; spent = Money\:spent\;on\:item\;1 + Money\:spent\;on\:item\;2\;\)

Therefore -                            

                                                   \(X=5n+10m\)

The above process is called Modelling of equation.

We can use the similar process in the question given to us as -

43.99 = 2.99 x (number of pairs of socks bought) + 12.99 (number of blouses bought)

                                            43.99 = 2.99\(x\) + 12.99\(y\)

Therefore, the equation that models the purchases she made with $43.92 is -

                                            2.99\(x\) + 12.99\(y\) = 43.99

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Answer:

Step-by-step explanation:

X=5.25

Answer:

The answer is (14,-6)

Step-by-step explanation:

I got it right on my test.

Answer: The population after five years = 9967

Step-by-step explanation:

The exponential equation for population decay : \(P=A (1-r)^t\), where A = initial population r= rate of decay , t= time

Given: A= 42000, r= 25%= 0.25, t= 5

then

\(P=42000(1-0.25)^5\\\\=42000(0.75)^5\\\\=42000(0.2373046875)\\\\\approx9967\)

Hence, The population after five years = 9967

The first step to isolate the variable term on one side of the equation is to move all constant terms to the other side by adding or subtracting the appropriate terms.

To isolate the variable term on one side of the equation, the first step is to gather all terms containing the variable on one side and move all constant terms to the other side.

In the given equation:

2/3x = -1/2x + 5

We have variable terms on both sides: 2/3x and -1/2x. To isolate the variable term, we can start by moving the -1/2x term to the left side by adding 1/2x to both sides of the equation.

Adding 1/2x to both sides:

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

Simplifying the left side:

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

To combine the fractions, we need a common denominator. The common denominator of 3 and 2 is 6, so we can rewrite the left side:

(4/6x + 3/6x) = 5

Combining like terms on the left side:

(7/6x) = 5

Now, the variable term 7/6x is isolated on one side of the equation. To completely isolate the variable, we can multiply both sides of the equation by the reciprocal of the coefficient of x, which in this case is 6/7.

Multiplying both sides by 6/7:

(6/7) * (7/6x) = (5) * (6/7)

Simplifying:

1x = 30/7

The variable x is now isolated on the left side, and the equation simplifies to:

x = 30/7

Moving all constant terms to the opposite side of the equation by appropriately adding or deleting terms is the first step towards isolating the variable term on one side of the equation.

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Add the times for each group together and divide by the quantity to find the averages and compare:

Average for green group is: 4.317

Average for blue group is 4.298

The blue group has a lower (faster) average .

Answer: the blue group

Answer:

Step-by-step explanation:

The equation is actually y=mx+b

M is the slope

B is the Y-intercept

Y=14x+b

Answer:

y = 14x

Step-by-step explanation:

equation: y = mx

Slope(m) = 14

Since the line passes through the origin, there is no y-intercept, so the equation is in y = mx form. Since we're given the slope(m), all we have to do is rewrite the equation with the given value of m:

y = 14x

The measure of the value of 'x' from the expression is 8.8712

The given image is a triangle with the following parameters:

Opposite = 8

Hypotenuse = x

acute angle = 46 degrees

Required

The measure of the angle 'x'

Applying the rule of trigonometry

sin theta = opposite/hypotenuse

sin 46 = 8/x

x = 8/sin46

x = 8.8713

Hence the value of x from then given triangle is 8.8712

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Answer:

The selling price of the house is $144,681

Step-by-step explanation:

The computation of the selling price of the house is shown below:

Let us assume the selling price be x

So, the commission would be 0.06x

Now the danny would received

= x - 0.06x

= 0.94x

And, the amount received is $136,000

So equate this value

Like this

0.94x = $136,000

x = \(\frac{\$134,000}{0.94}\)

= $144,681

Hence, the selling price of the house is $144,681

Answer:

(-5,-3) (0, 2) (3,5)

Step-by-step explanation:

Just plug the x values into the equation.

-5+2=-3

0+2=2

3+2=5

Answer:

H=Hyperbola

L=line

C=circle

P=Parabola

First letter is top one:

HL=0, 1, 2

LP=0, 1, 2

LC=0, 1, 2

LH=0, 1, 2

PP=0, 1, 2, INFINTELY MANY

PC=0, 1, 2,

PH=0, 1, 2, 3

CP=0, 1, 2

CC= 0, 1, 2, INFINITELY MANY

CH=0, 1, 2, 3, 4

HP=0, 1, 2, 3

HC=0, 1, 2, 3, 4

HH=0, 1, 2, 3, 4, infinitely many

Answer:

12

Step-by-step explanation:

Divide both sides by 6 to isolate x

Answer:12

Step-by-step explanation:

divide 6 from 72

Let's solve the trigonometric expression step by step.

Given: tan(sin^(-1)(u))

Step 1: Let's first consider the angle whose sine is u. We can denote this angle as θ.

Therefore, sin(θ) = u.

Step 2: Now, we need to find the tangent of θ, which is tan(θ).

To find tan(θ), we can use the relationship between sine and cosine:

sin^2(θ) + cos^2(θ) = 1

Since sin(θ) = u, we can rewrite the equation as:

u^2 + cos^2(θ) = 1

Step 3: Solving for cos(θ):

cos^2(θ) = 1 - u^2

cos(θ) = ± sqrt(1 - u^2)

Step 4: Finally, we can substitute the values of sin(θ) = u and cos(θ) = ± sqrt(1 - u^2) into the tangent function:

tan(sin^(-1)(u)) = tan(θ) = sin(θ) / cos(θ)

tan(sin^(-1)(u)) = u / (± sqrt(1 - u^2))

So, the trigonometric expression tan(sin^(-1)(u)) can be written as an algebraic expression in u as u / (± sqrt(1 - u^2)). The ± symbol indicates that the positive or negative square root can be taken, depending on the context and restrictions of the problem.

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Answer:

-10.7°F.

Steps used to get answer:

1. Use this rule: a-b= -(b-a)

-(26-15.3)

2. Use the algorithm method.

  5 10

 26.0

- 15.3

---------------------

   10.7

3. After simplification, we have:

−(26−15.3)=−10.7

4. Therefore, 15.3-26=-10.7

−10.7°F.

Done by NeighborhoodDealer

Answer:

hello

Step-by-step explanation:

-7t-1=20

-7t=20+1

-7t=21

t=21÷(-7)

t=-3

-7×(-3)-1=20

have a great dayyyy

Answer: Picture ?

Step-by-step explanation:

Answer:

Gross Income = $ 43400

Adjusted Gross Income=$40500

Taxable Income = $33840

Step-by-step explanation:

given that-

Income paid to man

Wages = $41,500

Savings Interest = $1900

Tax Def Contribution=$2900

Deductions= $6660

personal exemption =$4050

Gross Income = Income paid to man = 41500 + 1900 = $ 43400

Adjusted Gross Income = Income - Tax Def Contribution =  $43400-$2900=$40500

Taxable Income = AGI - Deductions  = 40500 - 6660 = $33840

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The incenter is the intersection of the angle bisectors, the distances from the incenter to the sides are proportional to the lengths of the adjacent sides, which gives the desired proportionality.

What is proportion?

The size, number, or amount of one thing or group as compared to the size, number, or amount of another. The proportion of boys to girls in our class is three to one.

To sketch the segments representing the distance from the incenter to the sides of a triangle, we draw perpendiculars from the incenter to each of the sides, as shown in the attached image.

The segments representing the distances from the incenter P to the sides of the triangle are the inradii.

Let r1, r2, and r3 be the lengths of the inradii corresponding to sides AB, BC, and AC, respectively.

Then, we have:

r1 = distance from P to AB

r2 = distance from P to BC

r3 = distance from P to AC

To compare these distances, we use the fact that the incenter is the intersection of the angle bisectors of the triangle.

Therefore, the distance from the incenter to each side is proportional to the length of the corresponding side. More precisely, we have:

r1 : r2 : r3 = AB : BC : AC

This proportionality can be proved using the angle bisector theorem, which states that the length of the segment of an angle bisector in a triangle is proportional to the lengths of the adjacent sides.

Hence, the incenter is the intersection of the angle bisectors, the distances from the incenter to the sides are proportional to the lengths of the adjacent sides, which gives the desired proportionality.

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Answer:

A. It is crowded with people.

Step-by-step explanation:

After simplifying as much as we can, the final result for the given equation in mixed number form would be \(-4\frac{7}{12}\).

Hope this helps!

Answer:

Bro just add 54 by dream and then eat a pie with hot sauce and then you get your answer Duh

Answer:

ok so 3b 2 to the second power 2(a 41 4a) when a= 3 and b = 10? so it should be 8

Step-by-step explanation:

and a little 2 on the top of the 8

The probability that Marshall wins a prize on his second spin =  0.1875

Consider an event X = the number of spins until Marshall wins a prize.

Given that a prize wheel with 4 segments of equal size, one of which is labeled winner.

So, the sample space n = 4

For given event x, the possible outcomes = 1

Using the formula of probability,

p = x/n

p = 1/4

p = 0.25

So, the probability of success p = 0.25

q = 1 - p

q = 1 - 0.25

q = 0.75

To find the probability that Marshall wins a prize on his 2nd spin.

Using formula, \(P(X = k) = (1 - p)^{k-1}p\)

For  k = 2,

\(P(X = 2) = (1 - 0.25)^{2-1}\times 0.25\)

P(X = 2) = 0.75 × 0.25

P(X = 2) = 0.1875

Thus, the required probability is  0.1875

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Answer:

m GHI = 82°

Step-by-step explanation:

59+39=98

180-98=82 <==== answer

180 is the total amount of degree