The average of 5 quiz grades is 10. When the lowest grade is dropped and the new average is calculated, it turns out to be 11. What was the score of the dropped grade?

Answer:

0.3655

Step-by-step explanation:

I'm doing the assignment on ed right now

The equation of the line that passes through (4, 3) and (-4, -1) is y = -x/2 + 5. So, correct option is A.

To find the equation of the line that passes through two given points, we use the slope-intercept form of a linear equation, which is:

y = mx + b

where m is the slope of the line and b is the y-intercept.

First, we need to find the slope of the line using the two given points. The formula for finding slope between two points is:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Substituting the given points into the formula, we get:

m = (-1 - 3) / (-4 - 4) = -4/8 = -1/2

Now we know the slope, we can use one of the given points (4, 3) and substitute the slope into the slope-intercept form of the equation and solve for b.

y = mx + b

3 = (-1/2)(4) + b

3 = -2 + b

b = 5

Therefore, the equation of the line that passes through (4, 3) and (-4, -1) is:

y = -x/2 + 5

So, correct option is A.

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Complete question is:

What is the equation of the line that passes through (4, 3) and (-4, -1)?

Choices:

y = -x/2 + 5

y=2x+7

y=x/2 +1

y= -x/2 +7

Answer:

the answer is C hope this helps

Answer:

2320

Step-by-step explanation:

12% of 1000 is 120 so you multiple that time 11 which equals 1320 and then you add 1000 which gives you 2320

mag aral ng mabuti para may alm

Step-by-step explanation:

yan ang answer

Answer:

The correct label of the line is CD

Using polynomial division, it is found that the expression that represents the amount of candy sold each year per type at Cassandra's Candy Corner is:

\(2x^2 - 5x + 52\)

The amount of candy sold per type is given by the following division:

\(\frac{C(x)}{T(x)} = \frac{4x^3 + 10x^2 + 54x + 520}{2x + 10}\)

The denominator can be written as:

\(2x + 10 = 2(x + 5)\)

At the numerator, to see if we can simplify, we verify if x = -5 is a factor:

\(C(-5) = 4(-5)^3 + 10(-5)^2 + 54(-5) + 520 = 0\)

Since C(-5) = 0, it is a factor of the numerator, and thus, since the numerator is of the 3rd degree, it can be written as a 3 - 1 = 2nd degree polynomial multiplying x + 5:

\((ax^2 + bx + c)(x + 5) = 4x^3 + 10x^2 + 54x + 520\)

\(ax^3 + (5a + b)x^2 + (5b + c)x + 5c = 4x^3 + 10x^2 + 54x + 520\)

Equaling both sides:

\(a = 4\)

\(b = 10 - 5a = -10\)

\(5c = 520 \rightarrow c = 104\)

Thus:

\(C(x) = (4x^2 - 10x + 104)(x + 5)\)

And:

\(\frac{C(x)}{T(x)} = \frac{(4x^2 - 10x + 104)(x + 5)}{2(x + 5)} = 2x^2 - 5x + 52\)

Thus, the expression is:

\(2x^2 - 5x + 52\)

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SOLUTION

Giving The set

Then from cartesian coordinate of a set,

Then we expand the set above

The extension of a set is the set itself.

Hence

Extension A² = {(p,p),(p,q),(p,r),(q,p),(q,q),(q,r),(r,p),(r,q),(r,r)}

The cardinality of a set is the number of elements in the set.

Hence

Card A²=9

Then Card A is

Therefore

Therefore

cardA²=(card)²=9

A. The theοretical prοbability οf drawing a purple card frοm the hat is 0.28 οr 28%.

B. The experimental prοbability οf drawing a purple card is 2% greater than the theοretical prοbability.

In prοbability,  experiment refers tο prοcess that generates οutcοme οr event, which cannοt be predicted with certainty. An experiment in prοbability may invοlve flipping  cοin, rοlling  die, drawing  card frοm deck, οr any οther randοm prοcess.

Part A:

The tοtal number οf cards in  hat is:

12 (red) + 17 (blue) + 14 (purple) + 7 (yellοw) = 50 cards

theοretical prοbability οf drawing purple card frοm hat is are:

P(purple) = number οf purple cards / tοtal number οf cards

P(purple) = 14 / 50

P(purple) = 0.28 οr 28%

Part B:

theοretical prοbability οf drawing purple card frοm  hat are 0.28 οr 28%.

The experimental prοbability οf drawing a purple card is:

P(exp) = number οf times a purple card is drawn / tοtal number οf trials

P(exp) = 324 / 1080

P(exp) = 0.3 οr 30%

therefοre, difference between  experimental prοbability and theοretical prοbability is:

P(exp) - P(theοretical) = 0.3 - 0.28

P(exp) - P(theοretical) = 0.02 οr 2%

Therefοre, the experimental prοbability is 2% greater than the theοretical prοbability.

A. The theοretical prοbability οf drawing a purple card frοm the hat is 0.28 οr 28%.

B. The experimental prοbability οf drawing a purple card is 2% greater than the theοretical prοbability.

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Answer:

Step-by-step explanation:

-3≤ x = graph 6

-3 > x = graph 3

x≥ 3 = graph 2

x ≤ 3 = graph 4

3 > x = graph 1

x > 3 = graph 5

the closed circles means greater/less than or equal to

the open circle means greater/less than

the direction of the arrow tells you if the number is greater than x or less than x

The correct number line that displays the solution `x ≥ 3` would be:

 <------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------>

       -10    -9     -8     -7     -6     -5     -4     -3     -2     -1     0      1      2      3      4      5      6      7      8      9     10

                                   ●------------------------------------------------>

The solution `x ≥ 3` is an inequality that means x is greater than or equal to 3. To graph this inequality on the number line, we mark the point representing the value 3 with a closed circle on the number line and draw an arrow pointing to the right to indicate that all values greater than or equal to 3 satisfy the inequality.

The closed circle at 3 indicates that 3 is included in the solution set, and the arrow to the right indicates that all values greater than 3 also satisfy the inequality. Therefore, any value of x that is equal to or greater than 3 would be considered a solution to the inequality `x ≥ 3`.

It is important to note that if the inequality was `x > 3` (without the equal sign), the closed circle at 3 would be changed to an open circle, indicating that 3 is not included in the solution set, and only values greater than 3 would be considered solutions. In conclusion, the number line provided above correctly displays the solution `x ≥ 3`.

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Answer:

14 units

Step-by-step explanation:

i think you just need to minus it to get the distance between it

like :

=point B - point A

=12 - (-2)

=12 +2

=14

so it 14 units

According to the number line the distance between  points A and B is 14 units.

A number system is defined as a system of writing to express numbers.

We need to find the  distance between points A and B.

The length along a line or line segment between two points on the line or line segment.

A number line is a picture of a graduated straight line that serves as visual representation of the real numbers.

The point A is at -2

The point B is at 12 on the number line

AB=OB-OA

=12-(-2)

=12+2

=14 units.

Hence, According to the number line the distance between  points A and B is 14 units.

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The unit rate of computers per day using the graph is that 12 computers are made per day.

The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.

To obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x

So, it is given by:

\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)

\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)

\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)

\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)

\(\bold{Slope = 12}\)

Unit rate = 12 computers per day.

The attachment of the graph is given below.

Therefore, the unit rate of computers per day is 12.

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Answer:

3 feet

Step-by-step explanation:

To solve this problem, we can use the Pythagorean theorem. Let's call the distance from the tent pole to the rope x. We can set up the following equation:

x^2 + 12^2 = 15^2

Solving for x, we get:

x = sqrt(15^2 - 12^2)

x = sqrt(9)

x = 3

Therefore, the distance from the tent pole to the rope is 3 feet.

Answer:

Net

Step-by-step explanation:

The definition of "Net Income" is a person's income after deductions and taxes. Hence it is also sometimes know as the "Take-Home" income. i.e the amount of money that you actually take home.

Answer: It’s to change the shape of a function

Step-by-step explanation:

To change the shape of a function, you need to stretch or compress it.

In math terms, you can stretch or compress a function horizontally by multiplying x by some number before any other operations. To stretch the function, multiply by a fraction between 0 and 1. To compress the function, multiply by some number greater than 1.

By definition, a function has one possible output for any given input. So if you want your function defined as some y=f(x), then not every shape can be written as a function. Any shape that has two points directly above each other (relative to the x-axis) cannot be written as a function, even a piecewise one.

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The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer:

3

Step-by-step explanation:

Given:

diameter of semi-circle = 12 ft

The number of feet needed to complete the project is the perimeter of the carpet as shown in the diagram.

We need to find the circumference of the semi-circle and then sum up the lengths.

The perimeter of a semi-circle can be found using the formula:

where r is the radius of the semi-circle and

d is the diameter of the semi-circle.

The perimeter of the semicircle is:

The total perimeter would be:

Hence, Sandy would need 45 ft of wood trim for the project.

Answer:

45

The circumference of a circle with one-third the curvature of a circle of radius 1 is 18.85 units

What is circumference ?

The perimeter of a circle is known as its circumference. It is the length of the circle's whole perimeter. The diameter of a circle and the constant are multiplied to get the circumference of the circle. This measurement of a circle's circumference is necessary for someone to cross a circular park or for a circle-shaped table to have a border. The units of the circumference are the same as the units of length and it is a linear value.

If a circle has a radius of 1,

the curvature is inversely proportional to this

So, the curvature= 1

A circle with a curvature of 1/3 :

radius=3

Thus, the circumference of the circle  =  2 *π * radius

                                                               =  2*π * 3

                                                               =  6π

                                                               ≈ 18.85 units

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The measure of arc angle QTP is 204 degrees.

When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

Therefore, let's find the measure of arc angle QTP as follows:

90 = 0.5(x - 68)

90 = 0.5x - 34

0.5x = 124

x = 124 / 0.5

x = 248 degrees

Where

x = arc angle TSQ

Therefore,

arc QP = 44 degrees

Therefore,

arc QTP = 248 - 44

arc QTP = 204 degrees

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Answer:

Let's assume the original price of the stock was x.

When the company announced it overestimated demand, the stock price fell by 40%.

So, the new price of the stock after the first decline was:

x - 0.4x = 0.6x

A few weeks later, when the seats were recalled, the stock price fell again by 60% from the new lower price of 0.6x.

So, the new price of the stock after the second decline was:

0.6x - 0.6(0.6x) = 0.24x

Given that the current stock price is $2.40, we can set up the equation:

0.24x = 2.40

Solving for x, we get:

x = 10

Therefore, the stock was originally selling for $10.

The mean absolute deviation for the given data set is 2.

To calculate the mean absolute deviation (MAD), we first need to find the absolute difference between each data point and the mean, and then calculate the average of these absolute differences.

Given the data set: 1, 7, 7, 7, 8 and the mean is 6.

To find the absolute difference between each data point and the mean:

|1 - 6| = 5

|7 - 6| = 1

|7 - 6| = 1

|7 - 6| = 1

|8 - 6| = 2

Next, we calculate the average of these absolute differences:

(5 + 1 + 1 + 1 + 2) / 5 = 10 / 5 = 2

The mean absolute deviation measures the average distance between each data point and the mean, providing information about the spread or variability of the data. In this case, the MAD of 2 indicates that, on average, the data points deviate from the mean by approximately 2 units.

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Answer:

15.8 sq. in. of paper will be required.

Step-by-step explanation:

The problem is that a drinking cup does not have a cover, so only the lateral surface area counts.

I.e. We need only the first term.

A = pi r l = pi * 1.5 * sqrt(3^2+1.5^2)

= 15.81 sq. in.

ANSWER:

15.71 inches

STEP-BY-STEP EXPLANATION:

Given:

Radius: 6 inches

Angle: 150°

We are asked to calculate the length of the long run. We can calculate this distance by multiplying the ratio of the angles by the circumference, just like this:

The distance traveled is 15.71 inches

Answer:

The point is a solution

Step-by-step explanation:

y = x^2

Substitute the point into the equation and see if it is true

0 = 0^2

0=0

True