A recent study estimated that the wild tiger population in India decreased by 2,200 tigers in 5 years. What is the average amount this tiger population changed each year?

The average amount by which this tiger population changed is
tigers per year.

Answer:

Step-by-step explanation:

This helps in the representation of problems as mathematical expressions. It involves variables like x, y, z and mathematical operations like addition, subtraction, multiplication and division to form a meaningful mathematical expression. For example in algebra is 2x+4=8.

the answer is 50%

there u go

The calculated value of the mode of the number of pets among the families is 1

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

The histogram

As a general rule, the mode of an histogram is the data set that has the highest frequency

In this case, n = 1 has the highest frequency of 500

This means that we can conclude that the mode has a value of 1 (with a frequency of 500)

Hence, the mode from the histogram/distribution is 1

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The covariance and the correlation coefficient between two variables should always have the same sign is False.

The covariance and the correlation coefficient between two variables can have different signs. The covariance is a measure of the direction and strength of the linear relationship between two variables. It can be positive, indicating a positive relationship where both variables move in the same direction, or negative, indicating an inverse relationship where the variables move in opposite directions.

On the other hand, the correlation coefficient is a standardized measure of the linear relationship between two variables, ranging from -1 to 1. It can also be positive or negative, depending on the direction of the relationship, but its magnitude is always between 0 and 1, indicating the strength of the relationship.

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Two additional polar representations of the point with coordinates (-4, 3π/2) within the interval [-2π, 2π] are (-4, 7π/2) and (4, 5π/2).

You find two additional polar representations of the point with polar coordinates (-4, 3π/2), keeping the angle in the interval [-2π, 2π].
First, let's understand that there can be multiple representations of a point in polar coordinates by adding or subtracting multiples of 2π to the angle while keeping the radius the same or by negating the radius and adding or subtracting odd multiples of π to the angle.
Representation 1:
Keep the radius the same and add 2π to the angle:
(-4, 3π/2 + 2π) = (-4, 3π/2 + 4π/2) = (-4, 7π/2)
Representation 2:
Negate the radius and add π to the angle:
(4, 3π/2 + π) = (4, 3π/2 + 2π/2) = (4, 5π/2)
So, two additional polar representations of the point with coordinates (-4, 3π/2) within the interval [-2π, 2π] are (-4, 7π/2) and (4, 5π/2).

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The function f(x) = 1/(x²+1) does not have any x values for which it is undefined.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The function f(x) = 1/(x²+1) is defined for all real values of x.

The denominator of the function, x²+1, is always positive since x² is non-negative for any real x and adding 1 to a positive number gives a positive result.

Therefore, for undefined values of x, the function doesn't have any value.

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The regular expression is ^(a(aa)*b)$.

To create a regular expression for the language L = {w = {a,b}* | w has an odd number of 'a's and ends with 'b'}, we can use the following expression:

^(b|(a(aa)*b))$

Breaking it down:

^ indicates the start of the string.

(b|(a(aa)*b)) matches either 'b' or a sequence of 'a's followed by an odd number of 'a's and 'b'.

(aa)* matches zero or more pairs of 'a's.

$ indicates the end of the string.

This regular expression ensures that the string starts with 'b' or a sequence of 'a's, followed by an odd number of 'a's, and ends with 'b'. Any additional characters or sequences in between are not allowed.

Please note that regular expressions can have different notations and conventions depending on the context or programming language you're using. The expression provided here follows a general pattern that should work in most cases.

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Answer:

60%

Step-by-step explanation:

Do 30/50

Answethe two digit is a multiple of 5

Step-by-step explanation:

the two-digit number is 65 so, options that must be true are a and b.

Addition is a basic arithmetic operation that combines two or more numbers to produce a sum or total

Let x stand for the tens digit and y for the units digit.

x + y = 11 (the digits of the two-digit number sum to 11)

x - y = 1 (the positive difference of the digits is 1)

Adding these two equations gives:

2x = 12

So x = 6.

Substituting x = 6 into either of the equations gives y = 5.

Therefore, the two-digit number is 65.

Now we can check which of the options is true:

a. The two-digit number has a product of 30 digits.

6 x 5 = 30, so this is true.

b. The number has two digits and is a multiple of 5.65 is a multiple of 5, so this is true.

c. The two-digit number is even.

65 is not even, so this is false.

d. The two-digit number is 83.

The two-digit number is 65, not 83, so this is false.

Therefore, the options that must be true are a and b.

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The construction that uses the compass for only one step in addition to drawing the circle itself is A. an equilateral triangle inscribed in a circle.

It should be noted that a compass simply means a device that's used to show cardinal directions. It's also used in mathematics to draw shapes.

In this case, the construction that uses the compass for only one step in addition to drawing the circle itself is an equilateral triangle inscribed in a circle.

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To reach your fundraising goal of $75, you will need to sell 150 pencils for $0.50 each and 0 bracelets for $1.00 each.

To reach your fundraising goal of $75, you can sell pencils for $0.50 and bracelets for $1.00.

1. Calculate the total amount of money needed to reach the goal:
  Goal amount = $75

2. Determine the number of pencils and bracelets you need to sell to reach the goal:
  Let's assume you sell x number of pencils and y number of bracelets.

  The amount raised from selling pencils = x * $0.50
  The amount raised from selling bracelets = y * $1.00

  The total amount raised from both items should be equal to the goal amount:
  x * $0.50 + y * $1.00 = $75

3. Simplify the equation:
  0.50x + 1.00y = 75

4. Solve for one variable in terms of the other:
  Let's solve for x in terms of y:
  0.50x = 75 - 1.00y
  x = (75 - 1.00y) / 0.50

5. Substitute the value of x into the equation:
  (75 - 1.00y) / 0.50 * 0.50 + y * $1.00 = $75
  75 - 2y + y = 75
  -y = 0
  y = 0

6. Find the value of x:
  x = (75 - 1.00 * 0) / 0.50
  x = 75 / 0.50
  x = 150

To reach your fundraising goal of $75, you will need to sell 150 pencils for $0.50 each and 0 bracelets for $1.00 each.

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Answer:

ok

Step-by-step explanation:

1,y=c-w

2y=m+p

3,y=m-s

4,y=2g+n

5,y=c÷3

6,y=w÷a

according to question the linearization of f(x) = x^(2/3) at a = 64 is:

l(x) = 16 + (1/6) * (x - 64)

To find the linearization of a function f(x) at a point a, we need to use the formula:

l(x) = f(a) + f'(a) * (x - a)

where f(a) is the value of the function at the point a, f'(a) is the derivative of the function evaluated at a, and (x - a) is the difference between x and a.

First, we need to find the value of f(a):

f(a) = a^(2/3) = 64^(2/3) = 16

Next, we need to find the derivative of f(x):

f'(x) = (2/3) * x^(-1/3)

Now, we evaluate f'(a):

f'(a) = (2/3) * 64^(-1/3) = (2/3) * (1/4) = 1/6

Finally, we can plug in these values into the formula for the linearization:

l(x) = 16 + (1/6) * (x - 64)

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Answer:

8.95p-3.2q+8.7

Step-by-step explanation:

Answer:

8.95,    3.2,     8.7

Step-by-step explanation:

The predicted output (y-value) when x is 15 is -8.When x = 15,

y = 7 - x

=> y = 7 - 15

= -8.

The predicted output when x = 15 is -8.

A regression line is a statistical tool that depicts the correlation between two variables. Specifically, it is used when variation in one (dependent variable) depends on the change in the value of the other (independent variable).

Given,The points (1, 6), (3, 4), (5,2) and the least square regression line y = 7 - x

To predict the output when x is 15, we substitute the value of x in the equation of least square regression line.

To predict the output when x is 15 using the given equation of the least squares regression line, we need to substitute the value of x into the equation and solve for y.

The equation of the least squares regression line given is y = 7 - x. We have three data points: (1, 6), (3, 4), and (5, 2).

To find the predicted output when x is 15, we substitute x = 15 into the equation:

y = 7 - x

y = 7 - 15

y = -8

Therefore, the predicted output (y-value) when x is 15 is -8.

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Answer:

(5π/12)(11) = about 14.4 inches

The proportion of the boards that will be greater than 122 inches is 84%

Given :

length of boards is listed as 10 feet is normally distributed with a mean of 123 inches and a standard deviation of 1 inch.

we are aske to determine what proportion of the boards will be greater than 122 inches = ?

we have :

μ = 123

σ = 122

now, let x denote the number of boards.

⇒ X ∼N (μₓ , σₓ²) X∼N(123,1)

⇒ P(X>122)=P( X- μₓ/ σₓ >  122-123/1)

⇒ P(Z > -1)

= 0.08413

= 84%

hence we get the value as 84%

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​

Answer:

x = 15

Step-by-step explanation:

24/(x+5) = 6/5

By doing cross products we acquire

120 = 6x + 30

Subtract 30 from both sides

90 = 6x

Divide both sides by 6

x = 15

Notes:

( Cross products is when you multiply the top number of the first fraction by the bottom number of the second fraction and the bottom number of the first fraction by the top of the second fraction )

Top number of first fraction is 24 and bottom number of second fraction is 5 so we multiply 24 by 5 to get 120

Bottom number of first fraction is x + 5 and top number of second fraction is 6 so we multiply "x + 5" by 6 to get 6x + 30

We're left with 6x + 30 = 120

We then solve for x algebraically

Properties used in the given equation is Commutative property, Associative property, Additive inverse, Identity property.

In a commutative property multiplication and addition which posses commutative property takes place without considering the order of arrangement of data.

12.2 + 18.6 + -4.3 + (-18.6)

12.2 + -4.3 _ 18.6 + (-18.6)

The second step results into the presence of a commutative property.

12.2 + -4.3 + [18.6 + (-18.6)] is an associative property because here, regrouping of numbers which gives the same result.

[18.6 + (-18.6)] is an additive inverse since the result is zero. Additive inverse occurs when the addition of a number to another number results into zero.

12.2 + -4.3 + (0) is an identity property.

This property occurs when the addition of any number with zero eventually resulted into that number.

So here we used 4 properties which are

Commutative property,

Associative property,

Additive inverse,

Identity property.

Given question is written in wrong language.

Here is the given question 12.2 + 18.6 + -4.3 + (-18.6)12.2 + -4.3 + 18.6 + (-18.6)12.2 + -4.3 + [18.6 + (-18.6)]12.2 + (-4.3) + (0)12.2 + -4.3 7.9

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Answer:

19

Step-by-step explanation:

1 centimeter is 10 millimeters

190 / 10 = 19

Answer:

90°

Step-by-step explanation:

\((\pi /2) * 180 = 90\)

Whenever you are required to transfer from Radians to Degrees, simply multiply the Numerator by 180° (180). Treat the \(\pi\) as a variable such as x and y, and divide by the numerator.

Answer:

120

Step-by-step explanation:

The number of friends is 5 and there are 5 seats only. So , we can find it out with the help of permutations ,

\(\implies ^n P_r = \dfrac{n! }{(n-r)!} \)

⇒ 5! / (5-5)!

⇒ 5! / 1!

⇒ 5!

⇒ 5 × 4 × 3 × 2 × 1

⇒ 120

Answer:

27 and 9

Step-by-step explanation:

27 divided by 1 = 27

27 divided by 3 = 9

:)

Answer:

3rd answer

Step-by-step explanation:

I'm sorry don't know just guessed

Answer:

Alex has 3x dollars and an extra 15 dollars in his coat pocket. He buys a new Nike shoe for 84 dollars. How much money did Alex spend that was not in his pocket.

Step-by-step explanation:

Answer:

Part A: Word problem

Maria went to the store and purchased some books for her book club. Each book cost $3, and she also bought some bookmarks at $15 each. Maria's total purchase, including tax, amounted to $84. If Maria bought x books, write an equation to represent the situation.

Part B: Solution

To solve the equation 3x + 15 = 84, we need to isolate the variable x on one side of the equation.

Step 1: Subtract 15 from both sides of the equation to eliminate the constant term on the left side:

3x + 15 - 15 = 84 - 15

3x = 69

Step 2: Divide both sides of the equation by 3 to isolate x:

3x/3 = 69/3

x = 23

So, the solution to the equation is x = 23.

Part C: Explanation

In the given equation 3x + 15 = 84, the variable x represents the number of books Maria purchased. The equation states that the cost of x books at $3 each, represented by 3x, plus the cost of $15 for bookmarks, totals to $84. Thus, the value of x represents the number of books Maria bought in this scenario. In the solution, x = 23, it means Maria purchased 23 books for her book club.

Step-by-step explanation:

Alex has $15.78 and Rick has $12.15 money.

According to the question,

We have the following information:

Alex had $3.63 more than Rick. Together they had $27.93.

Let's take the money Rick has to be $x.

Now, we have the following expression for the money Alex has:

3.63+x

Now, we have:

x+3.63+x = 27.93

2x+3.63 = 27.93

Subtracting 3.63 from both the sides:

2x = 27.93-3.63

2x = 24.3

Dividing by 2 on both the sides:

x = 24.3/2

x = $12.15

So, Rick has $12.15.

Now, the money Alex has:

3.63+12.15

$15.78

Hence, Alex has $15.78 and Rick has $12.15 money.

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-(2)(-3)^2 =

-(2)(9) =

-18 :)

The measure of angle OAC if major arc AB measures 220 degrees is 110 degrees. Therefore, the correct option is C.

To find the measure of angle OAC, we need to use the central angle theorem which states that the measure of an inscribed angle is equal to half the measure of the intercepted arc.

Here, we are given that the major arc AB measures 220 degrees. So, the measure of angle AOB (the central angle) is 220 degrees.

Since angle OAC is an inscribed angle that intercepts arc AB, its measure is half the measure of arc AB.

Therefore, measure of angle OAC = (1/2) * 220 = 110 degrees.

So, the correct answer is option (c) 110.

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