Part II: Use the formula from Part I to find the slope of the line that goes through
each pair of point
A. (5, 7) and (-4,-2)
B. (1, 3) and (1,-10)

The model that shows the problem 1 divided by 1/6 is option 1.

Every point in a plane that is at a specific distance from the center, or the circle's center, forms a shape. To put it another way, it is the curve that a moving point in a plane draws to keep a constant distance from another point. The radius of a circle is the separation of any point from the center. A positive integer is typically necessary for the radius. Except as specifically stated, this article discusses circles in the Euclidean plane and other aspects of Euclidean geometry.

In particular, a circle is a straight, closed curve that separates the plane into its inner and exterior.

Therefore, The model that shows the problem 1 divided by 1/6 is option 1.

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Answer:

22

Step-by-step explanation:

(8 + 20) - ((8 * 9) ÷ 12)

Using PEMDAS, let us find the product to get;

(8 + 20) - (72/12)

Next operation is to divide what is in the bracket to get:  

(8 + 20) - 6

Next operation is addition of the bracket content to get; 28 - 6

Next operation is to carry out subtraction to get:  22

Thus, the total number of days taken to make the batch of pens is 22.

The value of p is 0.16. So the option b is correct.

A local entrepreneur takes a random sample of 100 people.

Of the urban participants, 22 buy a real tree.

Of the rural participants, 28 buy a real tree.

Let p1 = the proportion of all people who live in rural communities and buy a real Christmas tree.

Let p2 = the proportion of all people who live in urban communities and buy a real Christmas tree.

We have to find the p-value

p1 = X1/N1

p1 = 28/100

p1 = 0.28

p2 = X2/N2

p2 = 22/100

p2 = 0.22

p = (X1 + X2)/(N1 + N2)

p = (28+22)/(100+100)

p = 0.25

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: p1 = p2

Alternate Hypothesis, Ha: p1 > p2

Test statistic

z = (p1 - p2)/√(p*(1-p)*(1/N1 + 1/N2))

z = (0.28-0.22)/√(0.25*(1-0.25)*(1/100 + 1/100))

z = 0.9798

P-value Approach

P-value = 0.16

Hence, the option A is correct. 0.16 is the p-value.

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Answer:

the answer would be e because you can't determine the side length

Answer: (B)

Step-by-step explanation:

Step 1: Find minimum values of the third side.

53-17 = 36

Step 2: Find maximum values of the third side.

17+53 = 70

Step 3: Find equation

36 < x < 70

The alternative hypothesis is often abbreviated as Ha or H1. When the alternative hypothesis is written using mathematical symbols, it always includes an inequality symbol (usually ≠, but sometimes < o

What is hypothesis?

A hypothesis is a theory put up to explain a phenomenon. A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis. Scientists typically build their scientific ideas on prior observations that cannot be adequately explained by the current body of knowledge.

In statistics, the null hypothesis is usually denoted by letter H with subscript '0' (zero), such that H0. It is pronounced as H-null or H-zero or H-nought

At the same time, the alternative hypothesis expresses the observations determined by the non-random cause.It is represented by H1 or Ha.

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To use the intermediate value theorem to show that there is a root of the given equation in the specified interval, we first need to find the values of the function at the two endpoints of the interval. Let's say the function is denoted by f(x) and the interval is [a, b].

If f(a) and f(b) have opposite signs (one is positive and the other is negative), then by the intermediate value theorem, there must be at least one root of the equation f(x) = 0 in the interval [a, b]. This is because the intermediate value theorem states that if a function is continuous on a closed interval and the function takes on different values at the endpoints of the interval, then there must be at least one point in the interval where the function takes on the value of the intermediate value between the two endpoints.

For example, suppose we have the equation f(x) = x^2 - 3 and we want to show that there is a root of the equation in the interval [1, 2]. We can evaluate the function at the two endpoints of the interval:

f(1) = 1^2 - 3 = -2

f(2) = 2^2 - 3 = 1

Since f(1) and f(2) have opposite signs, by the intermediate value theorem, there must be at least one root of the equation f(x) = 0 in the interval [1, 2]. To find the root, we can use a root-finding algorithm such as bisection or Newton's method.

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The domain and range of such equation in which case the distance travelled d is dependent on the time, t is best described by the answer choice; 2. The domain is time (t) and the range is distance (d).

It follows from the task content that the domain and range of the function as described in the task content is to be determined.

According to the task content; A train travels at 80 miles per hour.

On this note, the equation that compares the time (t) with the distance (d) as required is;

d = 80 t

On this note, the dependent and independent variables are d and t respectively.

Consequently, the domain is time which is the set of all possible inputs while the range is distance which is the set of all possible output values.

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The probability of tossing 10 tails in a row is  [tex]\frac{1}{1024}[/tex]

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Given that,

When a fair coin is tossed 10 times, the sample size (n) is:

n = [tex]2^{10}[/tex]

This is so because a fair coin has 2 sides.

So, we have:

n = 1024

There is only one occurrence of having 10 tails in a row in the 1024 possible outcomes.

So, the probability is:

P = [tex]\frac{1}{1024}[/tex]

Therefore,

The probability of tossing 10 tails in a row is  [tex]\frac{1}{1024}[/tex]

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Answer:

$23.85

Step-by-step explanation:

1 3/4 = 1.75 pounds of coffee

8 1/2 = 8.5 pounds of rice

1.75 x 13= 22.75

8.5 x 0.4= 3.4

22.75 + 3.4 = 26.15

50-26.15=23.85

Answer:

Step-by-step explanation:

12.5663706144

Answer: C m-6n-8

Step-by-step explanation:

Which expression is equivalent to (m−2n−4)−4?

A m8n16

B m−8n−16

C m−6n−8

D 1 over the quantity m raised to the sixth power times n raised to the eighth power end quantity  

(m-2n-4)-4

(2n-4)

(2x-4)

(n-8 )

(m- 4)-4

4+4

m-6

which = C m−6 n−8

a) The amounts that the team needs to sell is given as follows:

b) The advantage and disadvantage is given as follows:

The amounts needed are found applying the proportion, considering the costs and the number of candles.

A package of 5 candles for $18, hence the number of candles needed to earn $1404, in packages, is given as follows:

5 candles - $18

n candles - $1404

Applying cross multiplication, we have that:

18n = 5 x 1404

n = 5 x 1404/18

n = 390 candles.

With a single candle, the number of candles is calculated as follows:

1404/4 = 351 candles.

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Answer:

slope: -3

Y- intercept: (0,10)

The volume of the cube with side length 8 inches is 512 inches cube.

The cube with side length s has volume s³. Matt has a cube-shaped wooden box that he uses to store his marble collection. It has 8-inch sides.

The volume of the cube can be calculated as follows:

A cube has all side length equal to each other.

Therefore,

volume of the cube = s³

where

Therefore,

s = 8 inches

Hence,

volume of the cube = 8³

volume of the cube = 8 × 8 × 8

volume of the cube = 512 inches cube

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Hello,

I hope you and your family are doing well!

The classmate should bike for 50 minutes at 11 mph and at 150 minutes for 15 mph. (See explanation below)

First, let's find how many calories your classmate burns while biking at 11 mph:

calories burned = time * rate of calorie burn

Since your classmate bikes at 11 mph for 50 minutes, the number of calories he burns at this speed is:

calories burned = 50 minutes * 5 calories/minute = 250 calories

Now, let's find how many calories your classmate burns while biking at 15 mph:

calories burned = 400 calories - 250 calories = 150 calories

Since your classmate burns 1 calorie per minute while biking at 15 mph, he needs to bike at this speed for 150 minutes to burn the remaining calories:

time = calories burned / rate of calorie burn

time = 150 calories / 1 calorie/minute = 150 minutes

Please rate this answer 5 stars and brainliest if you find it helpful.

Happy Holidays!

The complex equation 8 + 3; in trigonometric form is z = 8.544[cos(20.6) + isin(20.6)}.

What is trigonometric form ?

Here, we'll utilize that fundamental transformation to recast z = a + bi in a different (sometimes more practical) form that is based on the polar transformation. The trigonometric form of a complex number is the name of this new representation.

Given

8 + 3i

Required

Rewrite in trigonometric form.

The trigonometric form of a complex equation is

z = r[cosθ + isinθ]

Let a = 3 and b = 8

Where

r is calculated by

r² = b² + a²

And

θ is calculated by

θ = arctan(a/b)

Substituting 3 for a and 8 for b

r² = a² + b² becomes

r² = 3² + 8²

r² = 9 + 64

r² = 73

√r² = √73

r = √73

r = 8.544

Calculating θ

θ = arctan(a/b) becomes

θ = arctan(3/8)

θ = arctan(0.375)

θ = 20.556°

θ = 20.6 --- Approximated

Hence, z = r[cosθ + isinθ] becomes

z = 8.544[cos(20.6) + isin(20.6)}

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[tex]$$(x-h)^2+(y-k)^2=r^2$$[/tex]

This is the general standard equation for the circle centered at (h, k)

with radius r.

Circles can also be given in expanded form, which is simply the result of expanding the binomial squares in the standard form and combining like terms.

For example, the equation of the circle centered at (1,2) with radius 3 is [tex]$(x-1)^2+(y-2)^2=3^2$[/tex]. This is its expanded equation:

[tex]$$(x-1)^2+(y-2)^2=3^2$$[/tex]

[tex]\begin{array}{r}\left(x^2-2 x+1\right)+\left(y^2-4 y+4\right)=9 \\x^2+y^2-2 x-4 y-4=0\end{array}[/tex]

We know that the general equation for a circle is[tex]( x - h )^2 + ( y - k )^2 = r^2[/tex], where ( h, k ) is the center and r is the radius.

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Answer: the number is -16

Step-by-step explanation: if you add 17 to -49, you will get -32. you do this because it is 17 less than NOT more than. that would be called inverse operations. then, you divide that number by 2 to get -16. again, you use inverse operations because you are going backwards to try and find the number.

Answer: -16

Step-by-step explanation: So, to solve, we should write an equation. It should look like this:

2x - 17 = -49

So, using inverse operations, we would add 17 to - 49, which is -32, then divide that by 2, which would be -16. I hope this helped!

P.S. our new equation would look like 2(16) - 17 = -49

32-17 = 49

32 + -17 = 49

49 = 49

It checks out.

Answer:

y=-5.5x-52

Step-by-step explanation:

Your input: find the equation of a line given two points P = (-10 , 3) and Q = (-8 , -8). The slope of a line passing through the two pointsP=(x1,y1) and Q=(x2,y2) is given byWe have that x1 = -10 , y1 = 3, x2 = -8 , y2 = -8Step 2:Plug the given values into the formula for slope:Step 3:Now, the y-intercept is b=y1−m⋅x1 (or b=y2−m⋅x2, the result is the same).b = 3 - (-5.5) ⋅ (-10) = -52Step 4:Finally, the equation of the line can be written in the form y=mx+b.y = -5.5x -52The equation of the line in the slope-intercept form is:y = -5.5x -52The equation of the line in the point-slope form is:y - (3) = -5.5 ⋅ ( x - (-10))The equation of the line in the point-slope form is:y - (-8) = -5.5 ⋅ ( x - (-8))The general equation of the line is:-5.5x - y -52 = 0

Answer: You simply subtract 315 from 975

Step-by-step explanation:

The histogram appears to roughly estimate a normal distribution. The frequencies normally increase to a maximum and then​ decrease, and the histogram is symmetric.

The Graph of Normal Distribution is bell-shaped. Here the value of y is less for the lower value of x and then the value of y is increased for a larger value of x, but after some time value of y again getting decreases as the value of x increases.

For the Histogram to appear to be a normal distribution, the graph of the histogram must have the same nature. Thus, option B is only the correct option.

The histogram is made up of many columns and bars that are vertical with no gaps between bars with different labels of numeric data of different heights showing the size of the group of different labels.

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Answer

2x73

Step-by-step explanation:

Answer:

(11.5, 7.5)

Step-by-step explanation:

17 + 6 / 2 = 11.5

2 + 13 / 2 = 7.5

The number of calls she makes per day is 12

A function can be defined as an expression, law or rule that describes the relationship between two variables.

These expressions are termed;

From the information given, we have that the function is;

C = 80-7h

Where;

I day = 24 hours

Now, substitute the value into the formula

C = 180 - 7(24)

expand the bracket

C = 180 - 168

Subtract the values

C = 12

Hence, the value is 12

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En la figura que se muestra, La respuesta correcta es la opción B: Teorema de los ángulos alternos internos.

Generalmente, Cuando dos rectas son paralelas y son cortadas por una transversal, los ángulos alternos internos (es decir, los ángulos que están en posiciones opuestas en relación a la transversal y están en el mismo lado de la transversal) son congruentes. En este caso, los ángulos 1 y 4 son ángulos alternos internos y, por lo tanto, tienen la misma medida.

El teorema de los ángulos consecutivos internos se refiere a ángulos que están en posiciones opuestas en relación a la transversal y están en lados opuestos de la transversal.

El teorema de los ángulos alternos externos se refiere a ángulos que están en posiciones opuestas en relación a la transversal y están en el mismo lado de la transversal, pero están en el exterior de los dos pares de paralelas. El teorema de los ángulos correspondientes se refiere a ángulos que están en la misma posición en relación a las dos pares de paralelas.

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The term that encompasses a variety of people and requires an openness and willingness to accept and appreciate that which is different is diversity.

The world by its very nature is diverse. The meaning of this is that there are a lot of people that can be found in the world and all of them do  come from different walks of life and speak different languages and are from different races.

It is expected that we must be able to embrace people that are coming from so many different backgrounds so that we can be able to live a productive life and thereby contribute meaningfully to the society.

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Answer: 84 bells

Step-by-step explanation:

12 + 9x8

84

The best interpretation of the standard deviation on this problem is given as follows:

A single value randomly selected from the distribution of w will vary from 4 by 3.5 attempted experiments.

The standard deviation of a data-set is calculated as the square root of the sum of the differences squared between each observation of the data-set and the mean, divided by the number of observations in the data-set.

The interpretation of this calculation is that the standard deviation represents by how much each value of the distribution is expected to vary from the mean, on average.

This means that the correct statement is given as follows:

A single value randomly selected from the distribution of w will vary from 4 by 3.5 attempted experiments.

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Answer:

fragile breakable

Step-by-step explanation:

basically the meaning of frail is anything that can be broken easily for example the glass was frail therefore meaning of dropped of damaged it could break extremely easily and if your describing a person think of someone who's old of sick they can be described as weak or in other words not strong. I hope this helped

Answer:

Step-by-step explanation:

1/3