What are the answers to Steps 1 and 2 i am on a timed test plz help.

Step-by-step explanation:

Write each question in order from least to greatest 4/5,3/10,1/2:

4/5 = 8/10

3/10 = 3/10

1/2 = 5/10

least to greatest:

3/10 < 1/2 < 4/5

The variance of the given distribution is 0.9.

Calculating the anticipated value or distribution mean is the first step in determining a probability distribution's variance. The anticipated value is a weighted average of all potential outcomes, with each outcome's probability serving as the weight. The expected value can be expressed mathematically as follows:

\(E(X) =\) Σ\([xi\) × \(P(xi)]\)

where μ is the mean of the data.

Then, calculate μ:

μ \(= (1+2+3+4+5)/5\)

\(=(15/5)\)

\(= 3\)

and replace this value and the values of xn and P(xn) into the formula for the variance, just as follow:

Hence, the variance of the given distribution is 0.9.

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The number of ways it is possible for the gold, silver, and bronze medals to be awarded is 1320 ways

Permutation are related to arrangement and combination has to do with selection.

If there are 12 teams, each representing a different country and the possible awards are gold, silver, and bronze medals, the number of ways they can be selected is given as:

12P3 = 12!/(12-3)!

12P3 = 12!/9!

12P3 = 12 * 11 * 10

12P3 = 1320 ways

Hence the number of ways it is possible for the gold, silver, and bronze medals to be awarded is 1320 ways

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The simplest form of an expression is x³-13x². Therefore, option D is the correct answer.

Expressions are rewritten in a compact and unlike terms-free manner when they are simplified. Expressions are simplified by combining like phrases, resolving any provided brackets, and only leaving unlike terms that cannot be further reduced in the final simplified expression.

The given expression is -(2x³+x²)+3(x³-4x²)

Simplify the given expression as follows

-2x³-x²+3x³-12x²

= x³-13x²

The simplest form of an expression is x³-13x². Therefore, option D is the correct answer.

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Answer:

It is true that the product of a complex number and its conjugate is a real number.

Step-by-step explanation:

You're welcome.

Answer:

True

Step-by-step explanation:

....this is how you 'rationalize' denominators that have complex numbers in them

The inputs and outputs match up with each other implying that they are inverses of each other.

To determine if the functions are inverses of each other, you need to check two conditions:

According to the previous information we can conclude that the inputs and outputs match up with each other implying that they are inverses of each other.

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To determine the price the student-athlete should charge for each hot dog to break even, we need to consider the total costs she incurs, including the vendor fee, equipment cost, and the cost per hot dog. By dividing the total costs by the anticipated number of hot dogs sold, we can find the price per hot dog that would allow her to break even.

The total costs for the student-athlete include the vendor fee of $3000 and the equipment cost of $4500, which sums up to $7500 for the season. Additionally, she incurs a cost of $0.35 per hot dog sold. With an anticipation of selling 2000 hot dogs, the total cost for the hot dogs would be 2000 x $0.35 = $700.

To break even, the total revenue from selling the hot dogs should cover the total costs. Therefore, the price per hot dog should be set in such a way that the revenue from selling 2000 hot dogs equals $7500. Dividing the total costs ($7500) by the number of hot dogs (2000), we find that the student-athlete should charge $3.75 per hot dog in order to break even. This price per hot dog would allow her to cover all her expenses and reach the break-even point.

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Answer:

5z– 2 = 43

5z=43+2

z=45/5=9

9 makes the equation below true

The vertex is (4, 2)  and the other key features are listed below

From the question, we have the following parameters that can be used in our computation:

f(x) = (x - 4)² + 2

A quadratic function is represented as

f(x) = a(x - h)² + k

Where

Vertex = (h, k) and axis of symmetry: x = h

So, we have

From the graph, we can see that

The direction of opening is up

And this means that

There is no restriction on the input values

So, the domain is the set of all real values

Set x = 0 to determine the y-intercept

y-intercept = (0 - 4)^2+2

y-intercept = 18

To find the zeroes of the function, we set f(x) = 0 and solve for x:

(x - 4)^2 + 2 = 0

(x - 4)^2 = -2

This equation has no real solutions, since the square of a real number is always non-negative.

To determine the intervals of increase and decrease,

We can look at the graph

Where, we have:

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Answer:

56

Step-by-step explanation:

56 would be the arc. reasoning is because line CG form an arch of 56 and Angle A and C also form a angle of 34

False , the variance and standard deviation are not measures of central location

Given data ,

The variance and standard deviation are not measures of central location but measures of dispersion or spread of a dataset

Measures of central location include the mean, median, and mode, which represent the typical or central value of a dataset

The variance and standard deviation are measures of dispersion or spread in a dataset. They provide information about how the values in a dataset are spread out around the mean.

In order to understand the variability or dispersion of data points within a dataset, one must take into account both the variance and standard deviation. They provide information on the range of values and aid in calculating how far away from the mean certain data points are. In statistics and data analysis, these metrics are frequently used to comprehend and evaluate the variance of various datasets.

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If we add 2.75 to the product of 4.0 and 0.25 then the value id 3.8

We have to find the value by adding  2.75 to the product of 4.0 and 0.25

The product of 4.0 and 0.25 is 1.0

4.0 × 0.25 = 1.0

Add 2.75 to the product of 4.0 and 0.25

2.75+1=3.75

Which is equal to 3.8

Therefore, if we add 2.75 to the product of 4.0 and 0.25 then the value id 3.8

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The maximum number of elements in $s$ is $\boxed{7}$, which we can achieve by choosing one element from each of the residue classes modulo $7$.

To find the maximum number of elements in $s$, we need to consider the elements of $\{1,2,3,...,50\}$ that are congruent to each residue class modulo $7$. There are seven residue classes modulo $7$, namely $\{0,1,2,3,4,5,6\}$. Since the sum of two elements from the same residue class modulo $7$ will also be in the same residue class modulo $7$, we cannot include more than one element from each residue class in $s$.
We can include one element from the residue class $0$, which gives us one element. For the other six residue classes, we can choose at most one element from each of them without violating the condition that no pair of distinct elements in $s$ has a sum divisible by $7$. This gives us a total of $1+6=7$ elements in $s$.
Therefore, the maximum number of elements in $s$ is $\boxed{7}$, which we can achieve by choosing one element from each of the residue classes modulo $7$.
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Answer:

269.01860??
But i can tell u 13.914 cm + 243.1 cm + 12.00460 cm = 260.01860 not 269.01860

Step-by-step explanation:

The perimeter and area of the given composite figure are:

Area = 50 cm²

Perimeter = 42 cm

To find the total surface area of the composite figure, we will find the area of each individual surfaces and then add them together.

Formula for area of a triangle is:

Area = ¹/₂ * base * height

Formula for area of a rectangle is:

Area = Length * Width

Thus:

T.S.A = 2(¹/₂ * 4 * 5) + (10 * 3)

T.S.A = 20 + 30

T.S.A = 50 cm²

The perimeter will be the sum of the entire boundary length. Thus:

Perimeter = 3 + 10 + 10 + 3 + 3 + 3 + 5 + 5

Perimeter = 42 cm

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Taxation is done on the discounted price. The equation representing the final price of a tablet for this condition is : Option A: c[p(t)] = 0. 918t

Functions which are formed by composing two or more functions in a way that one's input is another's output unless its the last and first function is called composite functions.

For given case, it is given that

Discounted price for original 't' price of a tablet is

\(p(t) = 0.85t\)

This discounted price is then passed as input to the tax calculating function as taxation is specified to be done on the discounted price and not on the original price.

The total cost calculating function is \(c(p) = 1. 08p\)

Thus, for original price t, the total cost is given as:

\(c(p(t)) = 1.08(p(t)) = 1.08 \times 0.85t = 0.918t\)

We composed the two available function to get the direct final cost from value of t.

Thus,

The equation representing the final price of a tablet for this condition is Option A: c[p(t)] = 0. 918t

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Answer:

A. 7 square feet

B. 9 feet

Step-by-step explanation:

A circular rug has a diameter of 3 feet.

Part A

What is the area, in square feet, of the rug rounded to the nearest whole number?

Area of a circle = πr²

Radius = Diameter/2 = 3/2

= 1.5

Area of the circular rug = π × 1.5²

= 7.0685834706 square feet

Approximately to the nearest whole number

= 7 square feet



Part B 

What is the circumference, in feet, of the rug rounded to the nearest whole number.

The circumference of a circle = 2πr

r = 1.5 feet

Circumference of the circular rug = 2 × π × 1.5 feet

= 9.4247779608 feet

Approximately to the nearest whole number = 9 feet

Each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.Option B,E,F.

Each chart has the following three components:

1. B. A center line representing the average: This line is drawn to show the average value or mean of the data being analyzed. It provides a reference point to compare the data points above and below it.

2. E. An upper line representing the maximum acceptable variation upwards: This line is drawn to indicate the upper limit of acceptable variation or deviation from the average. It helps identify if the data points exceed the acceptable range.

3. F. A lower line representing the maximum acceptable variation downwards: This line is drawn to indicate the lower limit of acceptable variation or deviation from the average. It helps identify if the data points fall below the acceptable range.

These three components together create a control chart, which is a graphical representation used in statistical process control. Control charts help monitor and analyze data over time, allowing organizations to identify trends, detect abnormalities, and make data-driven decisions to improve processes and quality.

In summary, each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.

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Answer:

2

Step-by-step explanation:

There are 2 obtuse angles here . They are

• KGF = 144°

• KGL = 169°

The statements from the graph are given as follows:

a. It is true that the bear's average heart rate is at it's highest in July.

b. It is false that the bear's average heart rate increases by 10 beats per minute from July to August.

c. It is true that the bear's average heart rate is at it's lowest in January.

The input and output variables for the graph are given as follows:

The heart rates for the questions are given as follows:

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To determine the distance traveled by Katie at different marks, we can use the formula Distance = Rate × Time.

To determine how far Katie has traveled at each mark, we can use the formula:
Distance = Rate × Time

So, the elements in the range of the function that would be used to determine how far Katie has traveled at each mark are 384 miles, 416 miles, and 448 miles.

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Answer:

y = \(\frac{7}{4}\) x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

7x - 4y = 28 ( subtract 7x from both sides )

- 4y = - 7x + 28 ( divide all terms by - 4 )

y = \(\frac{7}{4}\) x - 7 ← in slope- intercept form

The maximum mortgage payment allowed for someone with an annual salary of $73.025 would be $2,190.75 per month, so the correct option is A.

To determine, using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with an annual salary of $73,025, the following calculation must be made:

Therefore, the maximum mortgage payment allowed for someone with an annual salary of $73.025 would be $2,190.75 per month.

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Answer:a

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Area of triangle by coordinate (x,y) of 3 vertex

Area = abs(x₁ (y₂-y₃) + x₂ (y₃-y₁) + x₃ (y₁-y₂)) / 2

A (-2,3)   B (4 , 3)   C (-1 , -2)

Area = abs(-2 (3 - -2)) + (4 - (-2 - 3)) + -1 (3 - 3)) / 2

        = abs (-10 - 20 + 0) / 2

        = abs (-30) / 2

        = 30/2

        = 15

wish this help, if you are happy.. give me a happy face on "comment". No star or brainliest please.

*Easy approach: AB parallel to X axis

base AB = (4- -2) = 6  

height C to AB: 3 - (-2) = 5

area = 6 x 5 / 2 = 15      

Answer:

16√3 cm²

Step-by-step explanation:

The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.

Let's consider one side of the triangle to be 'x'

Givent that, the perimeter is 24cm,

The equation should be x + x + x = 24

⇒3x = 24

∴ x = 8 cm

To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.

Since it is an equilateral triangle, all angles are exact 60°.

let's draw a line and mark it as 'h'.

we can use sine formula to find out the opposite i.e. h

sin∅ = opposite ÷ hypotaneous

sin 60° = h ÷ 8

h = 8 sin 60°

h= 4√3

Now, let's find the area

Area = 1/2 × base × height

Area = 1/2 × 8 × 4√3

area= 16√3 cm²

Answer:

5/8

Step-by-step explanation:

eaten over by total id the answer

Answer:

5/8.

Step-by-step explanation:

Answer:

(5, - 3 )

Step-by-step explanation:

the opposite to translation rule (- 5, 3 ) is

(5, - 3 ) ← the negative of each of the coordinate points