4. What is the ratio of the sides for triangle HIL?

In working with two variables related by a regression equation, the marginal change in a variable is the amount that it changes when the other variable changes by exactly one unit.

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The definition and explanation of an equation are given below with an example.

in mathematics, an equation is defined as an expression that expresses equality between 2 quantities or expressions. We use equations quite a lot in our daily lives whenever we have to equate two quantities and find out how they are equal. These are used in all branches of science because of the huge purpose they serve.

in simple words it tells what we have on the Left-Hand Side of the "=" sign is the same as what we have on the right-hand side of the statement. Some examples of equations are-

E²=m²c⁴+p²c²

x²+3x-1=0

70 oranges= 7 oranges × 10 oranges

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Answer:

$341.60

Step-by-step explanation:

I=Prt

I=800(0.061)(7)

I=48.8x7

I=341.6

Hopes this helps

Answer:

351.9 cubic inches

Step-by-step explanation:

The volume formula for a cylinder is:

[tex]V=\pi r^{2} h[/tex]

r is the radius

h is the height

To find the radius, we simply divide the diameter by 2 since the radius is have of the diameter. This will give us 4. Now we just put our values into the formula and solve with a calculator:

[tex]V=\pi (4^{2}) (7)\\V=\pi 16(7)\\V=\pi 112\\V=351.85\\[/tex]

The rounded number is 351.9

Answer:

Step-by-step explanation:

s = 20, t = 4

s = 30, t =?

[tex]\frac{20}{4} = \frac{30}{t}[/tex]

[tex]20t = 120 \\t = 6[/tex]

∴ t is 6 when s is 30.

Expression for the earnings per person = $75/n

What is loss?

The amount of loss on any commodity expressed as a percentage is referred to as the loss percentage. Additionally known as percentage loss. Any time a commodity's selling price is less than its cost price, we consider this to be a loss. The magnitude of this loss may be determined by calculating the difference between the cost price and the selling price. The loss percentage measures the loss as a proportion of the actual cost price.

Given: company loss=$75

no. of owners =n

The loss must be split evenly between the two business owners.

Therefore, we must split the sum of money in order to determine how much each individual receives.

=$75/n

Expression for the earnings per person = $75/numer of owners

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The length of a side of the square is  8 unit.

Area of Square:

The area of ​​a square is defined as the number of square units required to fill the square. Area is generally defined as the area occupied within the bounds of a planar object. Measurements are in square units and the default unit is square meters (m²).

Area of a Square = Side × Side

Therefore, the area of square = Side²  square units

and, the perimeter of a square = 4 ×  side units

Given:-

Area of square is equal to twice its perimeter

To find:-

Side of square = ?

Now,

Let the side of square be a

Perimeter of square=4a

Area of Square = a²

Now,

According to the Question:

  Area of Square = 2 × Perimeter of Square

⇒ a² = 2 ×4a

⇒ a² = 8a

⇒ a = 8.

Therefore, the side of square is 8 unit.

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Steps to solve linear equations;

Given,

Linear equations;

The typical form for linear equations with two variables is Ax + By = C. For instance, the equation 2x + 3y = 5 is a standard form linear equation. Finding both intercepts of an equation in this style is quite easy (x and y).

Here,

To resolve linear equations, follow these steps:

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If X is a radom variable for amount you win, Then the excepted value of game or expected income i.e E(X) is 8/13.

Expected Income is the result of multiplying your income by the probability of earning it. This expected revenue can be subtracted by the expected cost to get the expected profit.

Mathematically, E(X) = X₁p₁ + X₂p₂ + ---+ Xₙpₙ

where Xᵢ are observation and pᵢ probability of Xᵢ.

We have given that,

Total number of cards in standard card deck = 52

i.e total possible outcomes = 52

One card is drawn from deck.

Total number of king cards in 52-card deck = 4

Favourable outcomes that drawn card is king = 4

Probability of getting a king card , p = 4/52 = 1/13

Probability of not getting a king ,q = 1 - p

= 1 - 1/13 = 12/13

let X be the amount you win . You win $20 if a king is drawn and lose $1 if king is not drawn . So, probability distribution is

Xᵢ pᵢ

$20 1/13

-$1 12/13

So, E(X) = ∑ Xᵢpᵢ = 20× 1/13 + (-1)× 12/13 = 20/13 - 1/13 = 8/13

Hence, required excepted value is 8/13.

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Answer:

y intercept) -1

slope) 4/3

Step-by-step explanation:

To find the slope, we first need to move the 1 to the other side to get:

y = 4/3x - 1

The slope of an equation is basically the number next to the x, and it calculates the rise over the run. For this equation, for example, the slope is:

4/3

The y-intercept is when the line crosses the y-axis. Since all slope intercept form problems are written as y = mx + b, the b defines the y-intercept in this case it is:

-1

Answer:

The equation y = 34x - 2 is the slope-intercept form of the equation y = 34x + b, where b is the y-intercept, which is the point where the line crosses the y-axis. The value of b in this case is -2, so the equation can be written as y = 34x - 2. This form of the equation makes it easy to find the slope (which is 34 in this case) and the y-intercept (which is -2 in this case) of the line.

Answer:

6

Step-by-step explanation:

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Answer:

six

Step-by-step explanation:

8 plus 11 subyract 13

Answer:

the answer is C! hope this helps!! in which it will

After solving for the internal angles of the given figure, we know that the value of ∠C is 44°.

An angle is formed when two straight lines or rays meet at a single terminal.

The place where two points converge is known as an angle's vertex.

The name "angel" comes from the Latin word "angulus," which means "corner."

Acute, obtuse, right, straight, reflex and full rotation are examples of basic angles.

By joining two rays at their termini, a geometric shape known as an angle is produced.

An angle is often stated in degrees.

So, let the angle is x.

2x + 3 + 3x + 9 + 2x - 4 + x = 360

Now, calculate for x as follows:

8x + 12 - 4 = 360

8x + 8 = 360

8x = 360 - 8

8x = 352

x = 352/8

x = 44°

Therefore, after solving for the internal angles of the given figure, we know that the value of ∠C is 44°.

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If the speed of the vehicle is greater than or equal to 60 miles per hour, the angle will be greater than or equal to zero and the trooper should issue a ticket.

Distance is defined as the product of speed and time.

If the speed limit is 50 miles per hour and a speeding ticket is issued for speeds of 10 miles per hour or more over the limit, then the trooper should issue a ticket for any speed greater than 50 + 10 = 60 miles per hour.

In general, the speed of a vehicle is given by the formula v = d/t, where v is the speed, d is the distance traveled, and t is the time it takes to travel that distance.

The angle at which a speeding ticket should be issued is determined by the ratio of the speed of the vehicle to the speed limit. If the speed of the vehicle is greater than the speed limit, then the ratio of the speed of the vehicle to the speed limit will be greater than 1.

Therefore, the trooper should issue a ticket for any angle that is equal to or less than 1.

Alternatively, you could also say that the trooper should issue a ticket when the angle is greater than or equal to zero. Since any number divided by 1 is equal to the original number, this means that the angle will be equal to the speed of the vehicle in miles per hour.

Therefore, if the speed of the vehicle is greater than or equal to 60 miles per hour, the angle will be greater than or equal to zero and the trooper should issue a ticket.

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Answer:

y = -3× + 1

use slope intercept formula and

m= y1 -y2/x1- x2 plug in the coordinates.

Number of students included  in the sample to estimate the proportion with confidence interval 95% is equal to 9604.

As given in the question,

Confidence interval = 95%

z -critical value for 95% confidence interval = 1.96

Estimate proportion is in the limit 0f 0.07

Let us assume value of

sample proportion 'p' = 0.5

Margin of error  = 0.01

level of significance = 0.05

let 'n' be the sample size to represent number of students included for the hypothesis.

n = p ( 1 - p ) ( z- critical value / margin of error )²

⇒ n = 0.5 ( 1 - 0.5 )( 1.96 / 0.01 )²

⇒ n = 0.5 (0.5 ) (3.8416/ 0.0001)

⇒ n = 0.25 × 38416

⇒ n = 9604

Therefore, the number of students included for the hypothesis to estimate the proportion with confidence interval 95% is equal to 9604.

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There are four students who studied more than 5 hours.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The scatterplot shows the number of hours of study for 10 students and their scores on a state test.

The x axis represents the number of study hours and y represents the test scores.

A scatterplot is a type of data display that shows the relationship between two numerical variables

From the graph, there are 5 students who have studied less than 5 hours and 1 student is studied for 5 hours and Remaining students were studied more than 5 hours.

Hence, there are four students who studied more than 5 hours.

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Using the basic percentage change rule, the answer is 6.5%.

In essence, percentages are fractions with a 100 as the denominator. In order to indicate that a number is a percentage, the percent symbol (%) is placed next to the number.

The required formula is:

[tex]Percentage = \frac {change}{inital} * 100[/tex]

initial=72000

final=76680

change=76680-72000

=4680

% change = 4680 / 72000 * 100

=6.5%

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Answer:

25

Step-by-step explanation:

3x3= 9 5x3 =15 9+15 = 25

Answer:

24 cm^2

Step-by-step explanation:

there are 2 different types of triangles in this photo

2 3 by 3 cm triangles and 2 5 by 3 triangles

3x3=9

9/2=4.5 cm^2

5x3=15

15/2

7.5 cm^2

now add these

7.5+4.5

12

and now multiply by 2

12x2

24

hopes this helps

There are 11/18 miles does the car travel in 1 minute.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A car travels 2 3/4 miles in 4 1/2 minutes.

Now,

Since, A car travels 2 3/4 miles in 4 1/2 minutes.

Hence, The distance cover by car in 1 minute = 2 3/4 ÷ 4 1/2

                                                                       = 11/4 ÷ 9/2

                                                                       = 11/4 × 2/9

                                                                       = 11/18 miles

Thus, The car travel 11/18 miles in 1 minute.

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Answer: It will take her 15 hours to walk 60 miles at the constant rate of 4 miles an hour.

Step-by-step explanation:

60/4 is 15. Kira's total is 60, and her rate is 4. Rate*time=distance, and distance/time=rate.

The explicit equations that describe the values in the table are y = 7(x - 57) - 49 and y = 7x - 448

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

As x increases by 1, y increases by 7

This means that the slope (m) is

m = 7

A linear equation is represented as

y = m(x - X) + Y

In this case, we have

(X, Y) = (57, -49)

m = 7

Substitute the known values in the above equation, so, we have the following representation

y = 7(x - 57) - 49

Expand

y = 7x - 448

Hence, the equation is y = 7x - 448

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The probability that a bike is green given that it has road tyres is 2/3

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

The table of values

From the table of values, we have:

Number of bikes that are green and road tyres = 4

Number of bikes that are road tyres = 6

The probability is then calculated using the following formula

Probability = Number of bikes that are green and road tyres/Number of bikes that are road tyres

Substitute the known values in the above equation, so, we have the following representation

Probability = 4/6

Simplify

Probability = 2/3

Hence, the value of the probability is 2/3

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Answer:

1=140  2=7

Step-by-step explanation:

The dimension of a rectangle is 17m and 17m.

Here we have to find the area of a rectangle as large as possible.

Data given:

Perimeter = 68m

The formula for the perimeter of the rectangle:

perimeter = 2(length + breadth)

68 = 2( l + b)

l + b = 34

We have to find the largest area, so when we will take the length and breadth same then we get the largest area.

So length = breadth

2 length = 34

length = 17m

length = breadth = 17m

Therefore the dimensions are 17m and 17m.

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Answer: No

Step-by-step explanation:

Because 73 can't be divided by 2, it is not a factor!

Answer:

No

Step-by-step explanation:

2 is not a factor because 73 is an odd number

2 is only a factor of even numbers with the exception of 0 (if you believe it is an even number)

Hope this helped and have a good day

All the properties of whole numbers are closed under addition and multiplication.

Whole numbers are a set of natural numbers including zero, but the set does not include fractions, decimals, and negative integers. The set of whole numbers is represented by ‘W’={0, 1, 2, 3, 4, 5, …...}

To check if the whole numbers are closed under subtraction or not we will check out the four properties namely, the closure property, the commutative property, the associative property, and the distributive property.

Let us consider each property one by one -

1. The closure property-

let's take two whole numbers say 5 and 3.

now, 5+3=8

and 5 × 3 =15

Thus, whole numbers are closed under addition and multiplication by closure property.

2. The commutative property-

let's take two whole numbers say 5 and 3.

now, 5+3=8 and 3+5=8,

hence, we get 3+5 = 5+3.

Also, 5 × 3 =15 and 3 × 5 =15

hence, we get 5 × 3 = 3 × 5

Thus, whole numbers are closed under addition and multiplication by commutative property.

3. The associative property-

let's take three whole numbers say 5, 3, and 1.

now (5+3)+1 = 9 and 5+(3+1)= 9

hence, we get (5+3)+1 = 5+(3+1).

Also, (5×3)×1 = 15 and 5×(3×1)= 15

hence, we get (5×3)×1 = 5×(3×1).

Thus, whole numbers are closed under addition and multiplication by associative property.

4. The distributive property-

let's take three whole numbers say 1, 6, and 5.

now, 1 × ( 6 + 5 ) =  1 + 6 – 1 × 5  = 1

        and 1 × ( 6 – 5 ) = 1 × 1 = 1

Hence, 1=1.

Also,  1 × (6×5)= (1 × 6) × (1 ×5) = 6 × 5 =30

and  1 × (6×5) = 1 × 30 =30

hence, we get 30=30.

Thus, whole numbers are closed under addition and multiplication by distributive property.

Hence, we can conclude that all the properties of whole numbers are closed under addition and multiplication.

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The complete question is-

What properties are whole numbers closed under addition and multiplication?