Armoni took a quiz. On her quiz, she got a 95%. If there were 20 questions on the quiz, how many did Armoni get correct?

1. \(\overline{DB}\) is perpendicular to \(\overline{AE}\) at \(C\) (given)

2. \(\angle ACB\) and \(\angle DCB\) are right angles (perpendicular lines form right angles)

3. \(\triangle ACB\) and \(\triangle DCE\) are right triangles (a triangle with a right angle is a right triangle)

4. \(C\) is the midpoint of \(\overline{AE}\) (given)

5. \(\overline{AC} \cong \overline{CE}\) (definition of midpoint)

6. \(\overline{AB} \cong \overline{DE}\) (given)

7. \(\triangle ACB \cong \triangle ECB\) (HL)

8. \(\angle BAC \cong \angle DEC\) (CPCTC)

9. \(\overline{DE} \parallel \overline{AB}\) (converse of alternate interior angles theorem)

The answers are shown below:

Parallel lines are lines in a plane that are always the same distance apart.

2. <2 = <1 by corresponding angle

and, <3 = <1 for the same reason.

By the definition of Transitivity <2 = <3 and lines, x||z.

3. When we joint the figure we have two angles of 100 degree and we know that the adjacent angle between parallel lines sums up to 180 degree.

Hence, the sides of the pieces on the left and right not be parallel.

4.  As opposite sides are parallel and if adjacent sides are perpendicular.

So, the values can be 20 and 70, 30 and 60, 40 and 50.

5. All rungs are perpendicular to the left post is a line perpendicular to one of a set of parallel lines, it is perpendicular to all parallel lines.

6. The rungs are parallel

lines that are perpendicular to the same line are parallel.

7. The rungs are perpendicular to both posts and the posts are parallel  to each other.

if a line is perpendicular to one of a set of parallel lines, it is perpendicular to all the parallel lines.

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Answer:

110 ft  

Step-by-step explanation:

The length of fencing is four times the perimeter of one garden.

The formula for the perimeter of a rectangle is  

P = 2l + 2w

The total perimeter for all four rectangles is

P = 4× (2l + 2w) = 8l + 8w

Data:

 l = 9¼ ft

w = 4½ ft

Calculation:

P = 8l + 8w = 8×9¼ + 8×4½ = 72⁸/₄ + 32⁸/₂ =(72 + 2) + (32 + 4) = 74 + 36 = 110 ft

The total length of fencing is 110 ft.

in slope intercept form:

y=mx+b.

slope of line:

-3/4

y intercept:

(0, 5/2)

Answer:

22°

Step-by-step explanation:

this is a right angle. right angles = 90°. you can now subtract 90-68 to give you 22.

if x = -1 and y= -3

y= 2x-1

-3=2(-1)-1

-3= -2-1

-3= -3

if x=0and y = -1

y=2x-1

-1=2(0)-1

-1=0-1

-1= -1

if x=1 and y=1

y=2x-1

1=2(1)-1

1=2-1

1=1

if x=2 and y=3

y=2x-1

3=2(2)-1

3=4-1

3=3

SO IT'S CORRECT ❤

THANJ YOU

There are a total of 220 ways to arrange the 13 copies of the new book on the three different tables with at least one book on each table.

There are a total of 13 copies of the new book and three different tables to arrange the books on. We are required to have at least one book on each table. Let's consider the following steps to find out how many ways there are to arrange the books:

Step 1: First, we need to place one book on each table to fulfill the requirement of having at least one book on each table. This will leave us with 10 books to arrange.

Step 2: Now, we need to find out how many ways there are to arrange 10 books on three different tables. This can be done using the formula for combinations with repetition:

C(n+r-1,r) = C(10+3-1,3) = C(12,3) = 12!/(3! * 9!) = 220

Step 3: Therefore, there are 220 ways to arrange the remaining 10 books on the three different tables.

Step 4: Finally, we need to multiply the number of ways to arrange the remaining 10 books by the number of ways to place one book on each table. Since there is only one way to place one book on each table, the final answer is:

220 * 1 = 220

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the sum of squares of number of 6,7 and 8 is 149.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

the product of three consecutive positive integers is 8 times thier sum.

So if 1st number is x

So the sum will be x+x+1+x+2 = 3x+3

and multiply will be x(x+1)(x+2)

according to question x(x+1)(x+2) = 24(x+1)

x³+3x²+2x = 24x+24

x = 6

So all the numbers will be 6,7 and 8

Hence the sum of their square is 36+49+64= 149

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Answer:

The ans is

Step-by-step explanation:

-8*-4=58

so

the ans

is

26

Answer:

it’s b

Step-by-step explanation:

I just did it

Answer:

h=60 °

g= 120°

k= 33°

m = 147°

Step-by-step explanation:

For K and G it's just the same as the other angle across from it. and H and M is subtracting from 180

Answer:

G = 120

H = 60

K = 33

M = 147

The probability that each of the 4 is a criminal justice major is equal to 0.0003 (rounded to four decimal places).

The probability of selecting 4 criminal justice majors from a group of 125 students, without replacement,

Using the hypergeometric probability distribution.

Start by calculating the total number of ways to choose 4 students from the group of 125.

C(125,4) = 125! / (4! (125-4)!)

              = 125 x 124 x 123 x 122 / (4 x 3 x 2 x 1)

              = 9,691,375

Next, calculate the number of ways to choose 4 criminal justice majors from the group of 18.

C(18,4) = 18! / (4! (18-4)!)

           = 18 x 17 x 16 x 15 / (4 x 3 x 2 x 1)

           = 3060

Finally,

Probability of selecting 4 criminal justice majors

=  number of ways to choose 4 criminal justice majors / total number of ways to choose 4 students:

P(4 criminal justice majors selected) = C(18,4) / C(125,4)

⇒P(4 criminal justice majors selected) = 3060 / 9,691,375

                                                                = 0.0003157

Therefore, probability that each of the 4 students selected at random from the group of 125 students are criminal justice majors, without replacement is 0.0003 (rounded to four decimal places).

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The matrix M is: M = [2/9 -8/27 , 4/9 -8/27 ]

Let's say that M is a 2 x 2 matrix that satisfies M × [3 -2 , 6 -8 ] = [-2 16]. This means that the product of matrix M and matrix [3 -2 , 6 -8 ] will give us the result matrix [-2 16].  We know that the product of two matrices is equal to the sum of the products of their corresponding elements.  We can use this knowledge to solve for the unknown elements in matrix M. Let us assume that M = [a b , c d] so that we can solve for its elements.

a(3) + b(6) = -2 ... (1) c(3) + d(6) = 16 ... (2) a(-2) + b(-8) = -2 ... (3) c(-2) + d(-8) = 16 ...

(4)Simplifying equations (1) to (4),  we get:

3a + 6b = -2 ... (5) 3c + 6d = 16 ... (6) -2a - 8b = -2 ... (7) -2c - 8d = 16 ... (8)

Solving for a, b, c, and d, we get:a = 2/9 b = -8/27 c = 4/9 d = -8/27.

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2 measurements can be treated as continuous random variables. 1 discrete random variable, and a fourth that cannot be treated as a random variable. (option d)

There are a few ways that a continuous random variable differs from a discrete variable: Due to the fact that it can contain an infinite number of values within a given interval, continuous random variables are typically uncountable. Measurements like height, weight, distance, and a plethora of other decimal values are examples of these variables. On the other hand, discrete random variables have values that can be counted, and the values of successive values are typically whole numbers.

In the above scenario, The number of starfish is a discrete variable, whereas the starfish's weight and percentage of the plot's area are continuous variables.

It is not a random variable whether the plot is in progress or halfway between high tide and low tide.

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Answer:

3x/2 feet

Step-by-step explanation:

It is given that, a person walked x feet and then half of that length again. We need to find total distance covered by him.

Total distance covered = sum of path travelled

Initial distance = x feet

Extra distance covered = (x/2) feet

Total distance = x+x/2 = 3x/2 feet

So, he will cover 3x/2 feet.

In a hypothesis, when the t value is 7.14 and the critical value is 6.10, the decision that should be made is to reject the null hypothesis.

It should be noted that a hypothesis is simply used to get information about a certain thing.

In this case, in a hypothesis, when the t value is 7.14 and the critical value is 6.10, the decision that should be made is to reject the null hypothesis.

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The average velocity from t = 2s to t = 4s would be - 48 ft/s.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.

Average rate of change of velocity with time is called average velocity. Mathematically -

v{avg.} = Δx/Δt                                                         .... Eq { 1 }

Δx = x(4) - x(2)

Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}

Δx = - 96

Δt = 4 - 2 = 2

So -

v{avg.} = Δx/Δt = -96/2 = - 48 ft/s

Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.

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decimal from 6.0250 to 60250. is moving it four decimal places, so that is the same as multiplying by 1 followed by four zeros). This means that an equivalent fraction is 60250 / 10000.

Answer:

8551.56

Step-by-step explanation:

\(A=5300(1+(0.08)/12)^{(12)(6)} \approx 8551.56\)

The domain and range are the set of x and values of the function are in the table.

the function as a table,

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

What is the domain and range?

The domain and range are fundamental concepts in mathematics that are used to describe the input and output values of a function or relation.

The domain of a function refers to the set of all possible input values, or x-values, for which the function is defined.

The range of a function refers to the set of all possible output values, or y-values.

To find the domain and range of functions and represent them in different formats.

To find the domain and range of a function:

The domain refers to the set of all possible input values (x-values) for the function.

The range refers to the set of all possible output values (y-values) for the function.

To represent the function as a table, you would list the input-output pairs. For example:

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

To represent the function as a mapping, you would indicate the correspondence between the input and output values.

For example:

-3     ->   -4

-1     ->     2

0     ->     0

-3    ->     5

2     ->     4

To represent the function as a graph, The x-values would be on the horizontal axis, and the y-values would be on the vertical axis.

The points (-3, -4), (-1, 2), (0, 0), (-3, 5), and (2, 4) would be plotted accordingly.

Hence, The domain and range are the set of x and values of the function are in the table.

the function as a table,

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

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Answer:

\(\frac{1}{3}x + \frac{1}{2}\)

Step-by-step explanation:

Rearranging the fractions:

\(\frac{1}{3} x+\frac{2}{3} x-\frac{2}{3} x +\frac{3}{4} -\frac{1}{4} \\\\= \frac{1}{3} x +\frac{2}{4} \\\\= \frac{1}{3} x + \frac{1}{2}\)

The present value of the sequence of annual payments of Rs 25000 each, the first being made at the end of the 5th year and the last being paid at the end of the 12th year, if money is worth 6% is Rs. 158620.39.

1: We can use the formula to calculate the present value of the annuity:

P = A x [1 - (1+i)^-n] / i

Where

P = Present Value

A = Annuity

i = Interest Raten = Number of payments

2: Calculate the present value of each payment using the formula:

P1 = 25000 / (1.06)⁵

P2 = 25000 / (1.06)⁶

P3 = 25000 / (1.06)⁷

P4 = 25000 / (1.06)⁸

P5 = 25000 / (1.06)⁹

P6 = 25000 / (1.06)¹⁰

P7 = 25000 / (1.06)¹¹

P8 = 25000 / (1.06)¹²

3: Substitute the values into the formula to find the present value:

P = P1 + P2 + P3 + P4 + P5 + P6 + P7 + P8

P = (25000 / (1.06)⁵) + (25000 / (1.06)⁶) + (25000 / (1.06)⁷) + (25000 / (1.06)⁸) + (25000 / (1.06)⁹) + (25000 / (1.06)¹⁰) + (25000 / (1.06)¹¹) + (25000 / (1.06)¹²)

P = 158620.39

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Answer:

x + 5y = 40

Step-by-step explanation:

the equation of the line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - \(\frac{1}{5}\) and c = 8 , then

y = - \(\frac{1}{5}\) x + 8 ( multiply through by 5 to clear the fraction )

5y = - x + 40 ( add x to both sides )

x + 5y = 40 ← in standard form

⊰________________________________________________________⊱

Answer:

See Below.

Step-by-step explanation:

\(\large\begin{gathered}\sf{First, \ let's \ write \ the \ equation \ in \ slope-intercept \ form.}\\\sf{ Slope-Intercept \ form \ is \curvearrowright} \\\boxed{y=mx+b}}\\\sf{Substitute \ the \ pieces \ of \ information \ we \ have \curvearrowright\\\sf{ y=-\dfrac{1}{5}x+8}\\\sf{Now, if \ we \ multiply \ the \ entire \ equation \ by \ 5, \ we'll \ have:} \\\sf{5y=-x+40}\\\sf{And \ finally, move \ \bf{x} \ \sf{to \ the \ left \ with \ the \ opposite \ sign: x+5y=40.}\end{gathered} \bigstar \\\bigstar\)

Done!!

⊱______________________________________________________⊰

\(\overbrace{C}\underbrace{A}\overbrace{L}\underbrace{L}\overbrace{I}\underbrace{G}\overbrace{R}\underbrace{A}\overbrace{P}\underbrace{H}\overbrace{Y}\)

Given:

The angle 140 degree.

The co-terminal angles is defined as an angle, where two angle are drawn in the standard position.

It is determine by adding or subtraction 360 degree to each angle.

Answer: Positive co-terminal angle of 140 degree is 500 degree.

Option A is correct.

From the odd function, the table is completed as follows:

For this problem, we have that it is an odd function, then:

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One of the primary goals of creating a frequency distribution for quantitative data is to properly represent the data as a whole. As a result, it is correct, as it accurately depicts the data as a whole.

Frequencies are organized into frequency distributions, which are visual displays, to make the information easier to understand. A frequency distribution can display absolute or relative frequencies, such as ratios or percentages. A frequency distribution can be represented by a graph or a frequency table. A frequency distribution can show both the exact number of observations and the proportion of observations that fall within each range. In the latter case, the distribution is referred to as a relative frequency distribution. The frequency of observation is the number of times it appears in the data. For example, the frequency of the number 9 in the following list of numbers is 5. (Because it happens five times). 1, 2, 3, 4, 6, 9, 9, 8, 5, 1, 1, 9

One of the primary goals of creating a frequency distribution for quantitative data is to properly represent the data as a whole.

As a result, it is correct, as it accurately depicts the data as a whole.

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Answer:

K ∩ L = {a, e, i, n, q, t, u}

K ∪ L = {a, e, i, l, n, o, q, t, u, y}

Step-by-step explanation:

Write the sets in alphabetical order

K = {a, e, i, n, o, q, t, u}

L = {a, e, i, l, n, q, t, u, y}

Set of all values that are members of both sets:

K ∩ L = {a, e, i, n, q, t, u}

Set of all values that are members of K, or L, or both:

K ∪ L = {a, e, i, l, n, o, q, t, u, y}

Answer:

A

Step-by-step explanation:

u can just test them out

Answer:

A. y = 2\((x - 2)^{2}\) + 5

Step-by-step explanation:

positive 2 because the parabola faces upwards, and + 5 because it's vertex is places at (2,5)

Answer:

2,000, 1,000,000, 1,001,000

Step-by-step explanation:

When we add 1,000 and 1,000, you simply add the thousands place together. From there we get 2000.

When we multiply 1,000 by 1,000, just add the zeroes from the first number to the second number. From there, we get 1,000,000.

When we add 1,000 to 1,000,000, we simply set up addition with everything in the right place to get 1,000,000.