how to solve 4 divided by 3

The last boxplot is the one that displays the values of the distribution that is given.

The range of a function in mathematics can refer to one of two ideas that are connected in some way: Codomain for the function an illustration of the action If there is precisely one y in Y and there are two sets X and Y, then a binary relation f between X and Y is a function that connects x and y.

Here ,Given information:

6,7,9,9,20,22,26,28,29,30

N = 10 observations were made.

The base number is 6. ( least value)

Quartile lower= n+1(0.25)

term = 0.25(13) = 3.25term = 13

Median equals 0.5 (n + 1)

term = 0.5(13) = 6.5 term = (20 + 24) /2 = 22

Upper quartile: 0.75 (13)

A term equals 9.75 a term equals 26.5

Interquartile Range (IQR) is equal to= Q3 - Q1= (26.5 - 13) = 13.5

The highest value is 30. (highest value in the distribution)

As a result, the Last boxplot is the one that shows the distribution that is given.

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Answer:

sqrt21 is real and irrational

Step-by-step explanation:

The other answers are a repeating decimal (rational), a terminating decimal (rational) and a perfect square (an integer--so also rational)

They are all real. Numbers that are not real have the imaginary number, i, in them or a square root of a negative number.

The total money was shared = $3304

What are proportion and ratio?

Two quantities are compared to form a ratio. An equality of two ratios is a proportion. How to format a ratio Analyze the ratio to see whether it is part to part or part to whole. Calculate the whole and the pieces as necessary.

Aaron, Ben, and Charles split a sum of money in the following proportions: 2: 5: 7. What was the initial amount of money shared if Charles' part was 1180 higher than Aaron's portion?

——-

Ben:::: 5x

Charles:7x

Aaron:2x

———-

7x = 2x + 1180 in the equation

5x = 1180

x = 236

————-

2x + 5x + 7x = 14x

14x = 14*236 = $3304

—————————————

Hence the total money was shared = $3304

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A system of equations are 9x+7y=77 and 3x+5y=49. Therefore, cost to rent each chair is $1.75 and cost to rent each table is $8.75.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

a) From the table, first costumer brought 9 chairs and 7 tables per $77

Second costumer brought 3 chairs and 5 tables per $49

Let x be the cost (in dollars) to rent a chair

Let y be the cost (in dollars) to rent a table

Here, 9x+7y=77 --------(I)

3x+5y=49 --------(II)

b) Multiply equation (II) by 3

9x+15y=147 --------(III)

Subtract equation (I) from (III), we get

9x+15y-(9x+7y)=147-77

⇒ 8y=70

⇒ y=8.75

Substitute y=8.75 in (I), we get

9x+7×8.75=77

⇒ 9x+61.25=77

⇒ 9x=77-61.25

⇒ 9x=15.75

⇒ x=1.75

Therefore, the system of linear equations are 9x+7y=77 and 3x+5y=49.

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What percentage of $680 is 490? ANSWER: 138.78%

The price is reduced from $680 to $490. What is the percentage decrease? ANSWER: 72.06%

Step-by-step explanation:

ANSWER: 138.78%

690 & 490 can be written as a fraction

which would be 680/490, how do I find the percentage?

490 and 680 can be written as a fraction

which would be 490/680, how do I find the percentage?

The  quantity of hydrocortisone powder, in g, should be entered on the compounding record as 56.7 g

Generally, To determine the quantity of hydrocortisone powder to be used in the compounding of this prescription, you will need to know the percentage of the final preparation that will be made up of hydrocortisone.

Since the prescription calls for a 1:1 mixture of hydrocortisone cream and Aquaphor, and the final quantity is to be 4 oz, each component will make up half of the final preparation. Therefore, the final preparation will be 50% hydrocortisone.

To determine the quantity of hydrocortisone powder needed, you will need to multiply the final desired quantity of the preparation by the percentage of the preparation that is made up of hydrocortisone. In this case, the desired final quantity is 4 oz, and the preparation is 50% hydrocortisone, so the calculation is:

4 oz * 50% = 2 oz

Since there are 28.35 grams in an ounce, the total quantity of hydrocortisone powder needed in grams is:

2 oz * 28.35 g/oz = 56.7 g

Therefore, you should enter a quantity of 56.7 g of hydrocortisone powder on the compounding record for this prescription.

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Answer:

[tex] \frac{(3x(x - 3))}{(x - 3)(x + 1)} = \frac{3x}{x + 1} [/tex]

Answer:

Ann must pay $800 in income tax for the first $8,000 of her taxable income because 8000 * .1 = 800

Ann must pay $4,600 in income tax for the amount of her taxable income over $8,000 because (35000 - 8000) * .16 = 4600

Therefore, Ann must pay a total of $800 + $4,600 = $<<800+4600=5400>>5,400 in income tax for last year.

Answer:

$5,120 in taxes, total

Step-by-step explanation:

Ann made $35,000 in taxable income last year. Suppose the income tax rate is 10% for the first $8,000 plus 16% for the amount over $8,000. How much must Ann pay in income tax for last year?

8,000 * 10% = 800 in taxes for first $8,000

remaining: 35,000 - 8,000 = $27,000 to be taxed at 16%

27,000 * 16% = $4,320

$800 + $4,320 = $5,120 in taxes, total

Answer:

137.067

Step-by-step explanation:

1 percent = 15.41

0.1 percent = 1.541

8 x 15.41 = 123.28

7 x 1.541 = 10.787

123.28 + 10.787 = 137.067

We can substitute the number in the inequality to find if the inequality holds true. If the inequality holds true, it is a valid solution. This is very similar to substituting a number in an equation, in order to check if it holds.

The same holds true for others.

Email your manager to notify her that you are running over on a call and ask her what should you do.

As my manager now knows that I am running over on a call, she could allow me to have a lunch break of whatever time I invested in the taxpayer's call. By doing this, both the taxpayer and I can be stress free.

What Is a Taxpayer?

A taxpayer is anybody who owes taxes to the federal, state, or municipal governments, whether they are an individual or a corporation. Governments primarily obtain their funding through taxes, which are levied on both citizens and companies.

According to the rules of the Income Tax Act, a taxpayer is a person or a business that pays taxes on its income each year. It becomes lawful after you file income tax returns and reveal your revenues.

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The vertex of the absolute function g(x) will be (0, -8). And the function opens up. Then the correct option is A.

The absolute function is also known as the mode function. The value of the absolute function is always positive.

If the vertex of the absolute function is at (h, k). Then the absolute function is given as

f(x) = | x - h| + k

The absolute function is given below.

g(x) = | x | - 8

Compare the function g(x) with the function f(x), then the vertex of the absolute function is as,

(h, k) = (0, -8)

The absolute function opens up because there is a positive sign before mode.

The vertex of the absolute function g(x) will be (0, -8). And the function opens up. Then the correct option is A.

The graph is given below.

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If the measure of the angle x is 116.89 degrees. Then the measure of the angle y will be 63.11 degrees.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

It is given that the angles x and y are supplementary angles. Then the equation is given as,

x + y = 180

If the measure of the angle x is 116.89 degrees. Then the measure of the angle y is calculated as,

x + y = 180

116.89 + y = 180

y = 180 - 116.89

y = 63.11 degrees

If the measure of the angle x is 116.89 degrees. Then the measure of the angle y will be 63.11 degrees.

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Answer:

11.9988

Step-by-step explanation:

Use a calculator.

Answer:

70

Step-by-step explanation:

I believe that since these are complementary angles, you are supposed to add two to get 180. In this case, there is a 110, so 70 more would be 180, but i could be wrong. you can delete my answer if it is wrong :(

Answer:

{red, orange , yellow}

Step-by-step explanation:

pls rate as brainliest I need to move to the next rank

When the midpoint of GH is M at (-6,-3) and one endpoint is H at (-8,-10), the coordinates of endpoint G are (-8,-10) (-4,4).

A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x,y). a group of variables that accurately depict a stance. The first number on a graph represents the distance along, while the second number represents the distance up or down. For instance, the point (12,5) is located 12 units down and 5 units up.

Here,

let the points of G be (a,b)

mid point of GH =(-6,-3)

point of H =(-4,4)

for x coordinate,

-6=(a-4)/2

a-4 =-12

a=-8

for y coordinate,

-3=(b+4)/2

-6=b+4

b=-10

The coordinates of endpoint G is (-8,-10) when the midpoint of GH is M at (-6,-3) and one endpoint is H at (-4,4).

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The value of y is 15.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

87 + 87 y = 1218 + 174

Now, Solving

87+ 87y= 1392

87y= 1392- 87

87y= 1305

y= 1305/ 87

y= 15

Hence, the value of y is 15.

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If initial sample of 458 grams of a radioactive substance decays according to the function [tex]A(t)=458e^{-0.038t}[/tex] then the half-life of the substance is 0.

Half-life is the time required for a quantity (of substance) to reduce to half of its initial value.

Given,

An initial sample of 458 grams of a radioactive substance decays according to the function

[tex]A(t)=458e^{-0.038t}[/tex]

We need to find the half life

[tex]458=458e^{-0.038t}[/tex]

Divide both sides by 458

[tex]1=e^{-0.038t}[/tex]

Take log on both sides

[tex]log1=-0.038t[/tex]

0=-0.038t

t=0

Hence, the half-life of the substance is 0.

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Red books are 8 and blue books are 6.

The smallest unit of measurement is the inch (or inches, in plural). A foot is made up of twelve inches. In the metric system, one inch is equivalent to 2.54 cm. When measuring shorter distances, such the breadth of an eraser or the length of a pencil, inches are employed.

Give conditions

Total books = 11

Red book height = 1 inches

Blue book height = 2 inches

Total height = 14 inches

We assume that

8 red books and 3 blue books = 11 books { first condition is satisfied}

In inches case:

8 * 1 = 8 { red book height 1 inches}

3 * 2 = 6 {blue book height 2 inches}

total height = 8 +6 = 14 inches {second condition is satisfied}

since red books are 8 and blue books are 6.

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Part A. The system of inequalities to this context is x + y ≥ 4 and

8x + 13y ≤ 90.

Part B. An example of one solution is (x, y) is (4, 4), where she buys 4 pizzas of each type which satisfies x + y ≥ 4.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

From the given information 'x' represents the number of pepperoni pizzas and 'y' represents the number of vegetarian pizzas.

Given, She wants to have at least 4 pizzas which is,

x + y ≥ 4...(1)

Also given that a pepperoni pizza costs $8.00 and a vegetarian pizza costs $13.00 and she has $90 to spend.

Therefore, 8x + 13y ≤ 90...(2)

An example of a solution is (x, y) ⇒ (4, 4) where she buys 4 pepperoni pizzas and 4 vegetarian pizzas.

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A) The vertex (h, k)=(9, 0) if  p(x)=[x-9]

B) The vertex (h, k)=(0, 9) if q(x)= [x]+9

The earliest known treatment of the idea of function can be found in the writings of the Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Functions were originally merely a simplified illustration of the relationship between two varying quantities. The position of a planet is just one example of how time is used. The concept was historically developed towards the end of the 17th century with infinitesimal calculus, and the functions that were taken into consideration up until the 19th century. The concept of a function was formalised in terms of set theory at the end of the 19th century, greatly extending its range of applications.

Given,

A) p(x)=[x-9]

We have to compare with f(x)=a|x-h|+k

Therefore, the vertex (h, k)=(9, 0)

B) Given,

q(x)= [x]+9

We have to compare with the above equation we get,

The vertex (h, k)=(0, 9)

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The first function is an odd and the second one is neither even nor odd. The correct options are (1) and (2).

A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.

The given problem can be solved as follows,

(2) The graph of the given function shows the following,

The value of the function is positive for positive x and negative for negative x.

It can be mathematically written as,

f(-x) = -f(x).

Which shows the given graph is of an odd function.

(3) The given function is f(x) = 4x³ + 2x² - x⁵.

In order to check the type of the function, find its value at the same value of x with different signs as,

f(1) = 4 × 1³ + 2 × 1² - 1⁵ = 5

And, f(-1) = 4 × -1³ + 2 × -1² - -1⁵ = -1

Since, f(1) ≠ f(-1), the function is not even.

And f(-1)  ≠ -f(1), the function is not odd.

Thus, the given function is neither even nor odd.

Hence, the first and the second functions of the given problem are odd and neither even nor odd respectively.

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a) Histogram (figure attached)

b) The expected number of defective is equal to 0.4 syringes.

c) Probability that the batch will be accepted is equal to 0.94275.

d) The standard deviation is 0.6164.

It is a binomial distribution "DISCRETE probability distribution that encapsulates the likelihood that a value will take one of two independent values when a particular set of conditions is met. The assumptions for the binomial distribution are that each trial has a single possible outcome, each trial has an equal chance of success, and each trial is independent of the others or mutually exclusive ".

Let X be the number of syringes being defective as a binomial random variable.

We are given that in the batch, there can be assumed to be 5% defective syringes.

∴ n = 8

Probability of syringes being defective, p = 0.05

Probability of syringes being not defective , q = 1-p = 1-0.05 = 0.95

a) Histogram (figure attached)

b) We know that the formula for Expectation in binomial distribution is;

μ =n×p = 8×0.05

=0.4 syringes

Therefore, the inspector will find the expected number of defective is equal to 0.4 syringes.

c) We have to find binomial probability for that we will use the binomial probability distribution is given by:

P(X=x) = ⁿCₓpˣ (1-p)^n-x, x = 0,1,2,3 ..8

Therefore,

P(x<2) = P(X=0) + P(X=1)

= ⁸C₀(0.05)⁰(1-0.05)⁸ + ⁸C₁(0.05)¹(1-0.05)⁷

=  0.66342 + 8×0.05×0.6983

= 0.66342 + 0.27933

= 0.94275

Therefore, probability that the batch will be accepted is equal to 0.94275.

d) We first find the variance:

σ² = Var(X) = n×p×(1-p)

= 8 × 0.05 ×(1-0.05)

= 0.38

Thus, the standard deviation is

σ = [tex]\sqrt{0.38}[/tex] = 0.6164

Thus,

a) Histogram (figure attached)

b) The expected number of defective is equal to 0.4 syringes.

c) Probability that the batch will be accepted is equal to 0.94275.

d) The standard deviation is 0.6164.

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Change the equations to inequalities  to modify the graph and the solutions are (-1.871, 1.5) and (1.871, 1.5)

The graph is the given parameter

From the graph, we have the following equations

f(x) = x² - 2

g(x) = -x² + 5

To modify the graph, we simply change the equations to inequalities

After the modifications in (a), we have:

f(x) >  x² - 2

g(x) ≥  -x² + 5

From the graph of the inequalities, the curves of the inequalities intersect at (-1.871, 1.5) and (1.871, 1.5)

Hence, the solutions are (-1.871, 1.5) and (1.871, 1.5)

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The required solution for the hypothesis testing is shown,

The T - statistic is the ratio of the predictive value of a parameter from its hypothesized value to its standard disputable values.

n = 16, ss = 960, and [tex]\bar x = 55,[/tex]
[tex]S.D, s = \sqrt{ \ [ss/n - 1]\\s = \sqrt{960/15} \\s = 8[/tex]

The test statistic is,
[tex]t = \bar x - mu / [s /\sqrt{n} ]\\t = 55 - 50 / [8/\sqrt{16} ]\\t = 2.5[/tex]

df = n - 1 = 15 , let α = 0.05
tcrp = 2.131 [from t - table]
Since t > 2.131
The result is significant

(b)

Cohen's d = mean difference /SD
                = 55 - 50 / 8 = 0625.

Thus, the required solution for the hypothesis testing is shown,

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