using the least-squares regression line, calculate the predicted value and residual value for the data point where the non-native grass biomass is equal to 35 and the coastal sage scrub biomass is equal to 20. give your answers precise to three decimal places.

The adding property of equality should be used to satisfy the given equation.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equation in the question,

-15 + x/3 = 18

Add 15 on both sides of the equation

So, we have

45 + x = 18 × 3

x = 54 + 45

x = 99

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a) The event E, that the sum of the numbers showing face up is equal to 6, can be written as the set:

E = {11, 15, 24, 33, 42, 51}

b) The probability of E is 6/36 = 1/6.

c) The event F, that the sum of the numbers showing face up is at most 4, can be written as the set:

F = {11, 15, 22, 31, 33, 42, 44, 51}

d) The probability of F is 2/9.

Probability is a measure of the likelihood of an event occurring in a statistical experiment. It is a number between 0 and 1, where 0 indicates that the event will never happen and 1 indicates that the event will always happen. Probability can be used to make predictions about the outcome of statistical experiments, and it is a useful tool in many fields, including economics, finance, and science. It is also used in gambling and games of chance to determine the odds of winning.

The probability of event E is the number of outcomes in the event divided by the total number of outcomes in the sample space. There are 6 outcomes in the event E and 36 outcomes in the sample space.

So, the probability of E is 6/36 = 1/6.

The probability of event F is the number of outcomes in the event divided by the total number of outcomes in the sample space. There are 8 outcomes in the event F and 36 outcomes in the sample space.

So, the probability of F is 8/36 = 2/9.

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The graph of the equation y = (1/3)x + 2 is passing through points  

(3, 3) and ( -3, 1).

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

Given, A linear equation y = (1/3)x + 2.

Now to graph the equation we'll simply put some arbitrary values of x which will correspond to some values of y and plot them then we'll join them with a straightedge.

When x = 3, y = 3 ⇒ (3, 3).

When x = - 3, y = 1 ⇒( -3, 1).

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The measure of the central angle in degrees subtended by an arc of length 5 meter is 71.61 degrees

The radius of the circle = 4 meters

The circumference of the circle = 2πr

Where r is the radius of the circle

The value of π = 3.14

The circumference of the circle = 2π × 4

= 8π

The arc length = 5 meters

Consider the x as the central angle

The proportion of central angle and circumference will be

5/8π = x radiance / 2π

Cross multiply the terms

x × 8π = 5 × 2π

x = 10π / 8π

x = 5/4 radiance

Convert radiance to degrees

We know

1 radiance = 180/π degrees

5/4 radiance = 5/4 × 180/π degrees

= 71.61 degrees

Therefore, the central angle is 71.61 degrees

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Answer: 0.06

Step-by-step explanation:

Additive Property of Equality justifies the second line in the  3x + 2 = 8

3x+ 2 - 2 = 8 - 2 solution.

What is Multiplicative Property of Equality?

When we multiply on both sides of an equation then the equation is remain same.

Distributive property: a(b + c) = ab + ac in other words the product of a number with sum of two numbers is equal to the sum of product first two numbers and "first and third" numbers.

Associative property: (a + b) + c = a + (b + c): If we shift the parenthesis then the result will remain the same.

Given equation is

3x+2=8

The second step is 3x + 2 - 2 = 8 - 2.

The additive inverse of 2  is -2.

-2 is added in second step. Thus Additive Property of Equality is used.

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The time management skill and amount of work done is an example of positive correlation.

Correlation or dependency pertains to any statistical link involving two random variables or bivariate data, whether causal or not. Although the term "correlation" can refer to any form of link, in statistics it is most usually used to refer to the degree to which two variables are statistically linearly associated.

The link between the heights of parents and their children, as seen in the enough that demand curve, and the correlation between the price of an item and the quantity of items that buyers are willing to acquire are examples of dependent phenomena.

The Pearson product-moment correlation coefficient (PPMCC), sometimes known as "Pearson's correlation coefficient," is the most commonly used measure of two-value dependency.

It is computed by dividing the covariance ratio of the two variables in our numerical dataset by the square root of their variances. The covariance of the two variables is simply divided by the product of their standard deviations in mathematics. The coefficient was calculated by Karl Pearson from Francis Galton's similar but slightly different idea.

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Answer:

add one black and one white marble

Step-by-step explanation:

you have to make bag b equivalent to a 2:3 ratio.

add 1 to 5 to make it divisible by 2

divide 6 by 2

=3

multiply 3 by 3 to get a 2:3 ratio

=9

subtract initial marbles

9-8=1

Answer:

117$.

Step-by-step explanation:

Let $x$ represent the number of cards in Wei Jing's collection. We are given that $70 \leq x \leq 150$. We are also given that $x \equiv 3 \pmod{10}$ and $x \equiv 5 \pmod{9}$. Since $x \equiv 3 \pmod{10}$, $x - 3$ is divisible by 10. Since $x \equiv 5 \pmod{9}$, $x - 5$ is divisible by 9. The least common multiple of 10 and 9 is $90$, so $(x - 3) - 90$ is divisible by 90 and $(x - 5) - 90$ is divisible by 90. Adding these equations gives us $2x - 98$ is divisible by 90. Dividing both sides by 2 gives us $x - 49$ is divisible by 45. Since $70 \leq x \leq 150$, the only solution for $x$ is $x = 117$.

Answer:

y = - 0.4x -6

Step-by-step explanation:

The slope-intercept form of a line equation is

y = mx + b

where m is the slope and b the y-intercept where the line crosses the y axis.

From the figure it is clear that the line passes through (0, -6) and therefore the y-intercept is -6

To compute the slope, find another  convenient point on the line. Compute the ratio of change in y values(called rise) to the change in x values(called run). This will be the slope

We see that point (10, -10) has been identified on the graph.(Any of the 4 identified points will do, I just chose this)

So two points to consider are (0, -6) and (10, -10)

Change in y values = rise = -10 - (-6) = 1- + 6 = -4

Change in x values = run = 10 - 0 = 10

So slope m = -4/10 = -0.4

Equation of line is y = -0.4x -6

Answer:

---------------------------

Given:

Find the missing sides:

Perimeter is:

Answer:

Below

Step-by-step explanation:

m = k l^3    <=======given

when m  = 90 kg  and l = 20 cm

 90 = k (20^3)       shows k = .01125   kg/cm^3

sooooo :    m = .01125 l^3

        when m = 1700:

                  1700 = .01125 l^3

                      l = cubrt ( 1700/.01125) = 53.26 cm

The price of a ticket to the homecoming dance to maximize the council's profit is 4830.

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Answer:

$2 each ticket

Step-by-step explanation:

I don't really know how it's 2, but it's in the vertex of the graph. I just got my test back which the answer was 2. I'm sorry if you expected reasoning but I only got an answer. You can make a table for the equation and then see that 2 results in the highest profit though. 2 being substituted for t equates to the greatest profit.

The value of z such that 7% of the area under the standard normal curve lies to the right of z is approximately -0.4

To find the value of z such that 7% of the area under the curve lies to the right of z, we need to find the value of z such that 43% of the area lies to the left of z.

This value of z is known as the 43rd percentile of the standard normal curve.

We can use a table of the standard normal distribution, also known as the z-table, to find the value of z corresponding to the 43rd percentile.

According to the z-table, the value of z corresponding to the 43rd percentile is approximately -0.4

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The measure of the exterior angle is 60°.

What is the Exterior Angle Theorem?

If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.

If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.

We have,

interior angles:

∠ABC = z + 10

∠BAC = 4z

Exterior angle:

∠ACB = z + 50

Exterior Angle Theorem:

The measure of exterior angle = Sum of two opposite interior angles’ measure.

According to the Exterior Angle property of a triangle theorem, the sum of measures of ∠ABC and ∠BAC would be equal to the exterior angle ∠ACB.

∴ ∠ABC + ∠BAC =  ∠ACB

  z + 10 + 4z = z + 50

5z = z + 40

z = 40/4

∴  z = 10

so, the value of the z is 10.

exterior angle:

∠ACB = 10 + 50 =60

Hence, the measure of the exterior angle is 60°.

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The value of the fraction, negative 5 and 1 over 7 ÷ negative 7 and 3 over 4 is 144/217

A fraction can be described as the part of a whole element or value.

The different types of fractions are;

Examples of proper fractions; 2/4, 5/6, 7/9

Examples of improper fractions; 4/2, 3/2, 6/5

Examples of mixed fractions; 2 1/4, 4 6/7, 8 1/2

Examples of simple fractions; 1/ 3, 3/4, 1/2

Now, from the information given, we have;

Convert into improper fractions

-36/7 ÷ -31/4

take inverse of the divisor and multiply

-36/ 7 × 4/-31

-144/-217

144/217

Hence, the value is 144/217

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$10.12 will Cassie pay in all for the pair of binoculars after sales tax is included.

What is sales tax?

A sales tax is a fee that is paid to the government when specified products and services are sold. Typically, laws permit the vendor to charge the customer the tax at the time of purchase. Use taxes are often used to describe taxes on goods and services that consumers pay directly to a governing authority.

given data

we are told that the cost of binoculars is $155.75

and also the sales tax is 7%

Step two:

We want to first solve for the sales tax which is 7% of  $155.75

=7/100* 155.75

=0.070*155.75

=10.12

Cassie will pay a tax of $10.12

Also Cassie will pay a total amount of

= 155.75+10.12

=$165.87

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In a line When the line is parallel to the x-axis, the slope is zero. The first set of coordinates' slope will be 0.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,where (x₂,y₂) and (x₁,y₁) are the coordinates of any point on the line of slope.

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

1. For the first slope, the given coordinates are;

(-3,2), (-1,2), (1,2) and (3,2).

Now, if we take the first and the last point to calculate the slope of the line, we will get,

m =  (y₂- y₁) / (x₂ - x₁)

m = (2-2) / (3+3) = 0

Thus, the slope of the line is 0.

2. For the second slope, the given coordinates are;

(-3,3), (-1,1), (1,-1) and (3,-3).

Now, if we take the first and the last point to calculate the slope of the line, we will get,

m =  (y₂- y₁) / (x₂ - x₁)

m = (-3-3) / (3+3) = -1

Thus, the slope of the line is -1.

3. For the third slope, the given coordinates are

(-5,-5), (0,0) and (5,5).

Now, if we take the first and the last point to calculate the slope of the line, we will get,

m =  (y₂- y₁) / (x₂ - x₁)

m = (5+5) / (5+5) = 1

Thus, the slope of the line is 1.

4. For the fourth slope, the given coordinates are

(-2,5), (-2,0) and (-2,5)

Now, if we take the first and the last point to calculate the slope of the line, we will get,

m =  (y₂- y₁) / (x₂ - x₁)

m = (-2+2) / (5-5) = ∞

Thus, the slope of the line is undefined.

Therefore, the slope of the first pair of coordinates will have no slope or zero slopes.

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Answer: -433.15

Step-by-step explanation:

he's id debt and has to pay off the 433.15 later on.

Answer:

The McQuires' account is currently overdrawn by $483.15.

Step-by-step explanation:

If the McQuires' account balance was $750 on Friday and they wrote a check for $1,183.15 on Saturday, then the balance would be 750 - 1,183.15 = -$433.15 after the check cleared. Since the bank charges a $50 overdraft fee, the final balance in the McQuires' account would be -$433.15 - $50 = -$483.15. The McQuires' account is currently overdrawn by $483.15.

The given triangles are congruent to each other by the rule of (AAS) Angle Angle side.

The basic polygonal shape of a triangle has three sides & three interior angles. This is one of the fundamental shapes in geometry and is particularly associated. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.

As per the given figure in the question,

There are two given triangles in the question,

Δ ABC and Δ MNO

As we can see that,

∠ C = ∠ M

∠ B = ∠ N and,

The side, AC = OM

So, Δ ABC ≅ Δ MNO

So, by using AAS (Angle Angle Side) rule, triangle ABC and triangle MNO are congruent to each other.

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The probability that someone is in the right job and the test is then wrong is 0.195.

The probability that the employee is in the wrong job and the test predicts that he is in the right job is 0.105.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1. In

The probability that he is in the right job is 0.65, so the probability he is in the wrong job is 0.35, and similarly, the probability that the test is inaccurate is 0.3.  Thus, the probability that someone is in the right job and the test is then wrong is:

= 0.65*0.3

= 0.195

The probability that someone is in the wrong job and the test is right is:

= 0.35 × 0.3

= 0.105.

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The answers to find are 1) Δ CAB 2) Δ ABC 3) CDAB 4) 10 5) 6 and 6) 30

When two triangles having congruent corresponding angles and the corresponding sides are in equal ratio, then the triangles are said to be similar triangles.

Given are the similar triangles,

1) Δ HJG ~ Δ CAB

Scale factor = 3:1

2) Δ NPM ~ Δ ABC

Scale factor = 1:2

3) KJML ~ CDAB

Scale factor = 1:2

4) 40/x = 20/5

x = 10

5) 18/x = 21/7

x = 6

6) 6/3 = x/15

x = 30

Hence, the answers are: 1) Δ CAB 2) Δ ABC 3) CDAB 4) 10 5) 6 and 6) 30

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If 1+3+5+7+…+49 =625, then the value of 2+4+6+8+…+50 = 650.

What is arithmetic series?

A series of numbers called an arithmetic progression or sequence has a constant difference between the terms. An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15.

Here, we have

Given:  1+3+5+7+…+49 =625

We have to find the value of 2+4+6+8+…+50.

Here, we calculate the sum of all even numbers and we get

2+4+6+8+…+50 = 650

Hence, if 1+3+5+7+…+49 =625, the value of 2+4+6+8+…+50 = 650.

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Suppose that the relation G is defined as follows G={(-6, -4), (5, -4), (1, 5) give the domain and range of G in set notation

domain {-6, 5, 1}

range {-4, -4, 1}

In mathematics, set notation is essentially a list of numbers, things, or results. Curly brackets, often known as braces, are used for set notation.

The items included between brackets are referred to as elements of a set and are not required to be in any particular order.

All of a function's x-values, or inputs, make up the domain, and all of a function's y-values, or outputs, make up the range.

in the given relation, G={(-6, -4), (5, -4), (1, 5)}

the first figure in the parenthesis is the domai whilel the next is the range

hence domain = -6, 5, and 1 while range is -4, -4, and 5

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Using the completing square method, the value of (C) x = ±√5 - 2.

A quadratic polynomial of the form ax2+bx+c can be transformed to the form in elementary algebra by using the "completing the square" method for certain values of h and k.

In other words, the quadratic expression is completed by inserting a perfect square trinomial.

So, we have:

x² + 4x = 1

The x-coefficient terms must be divided by two:

4/2 = 2

Square:
2² = 4

Add 4 on both sides as follows:

x² + 4x + 4 = 1 + 4

x² + 4x + 4 = 5

Transform into perfect squares:

(x + 2)² = 5

Both sides of the square root:

x + 2 = ±√5

x = ±√5 - 2

Therefore, using the completing the square method, the value of (C) x=±√5-2.

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Complete question:
Solve x2 + 4x = 1 for x by completing the square.

a. x = −3

b. x = −1

c. x equals plus or minus the square root of 5 minus 2

d. x equals plus or minus square root of 5 plus 2

Answer:

is c correct?

Step-by-step explanation:

Answer:

$19.56

Step-by-step explanation:

$4.89 per pound times the number of pounds to be purchased (4).

so 4(4.89)=19.56

The required probability is P(X≥3) =0.3234

The average number of winning tickets that the woman buys each month is 2.

The binomial probability distribution is a discrete type of probability distribution with two parameters, n, and p. The probability mass function of the distribution is used to get the required probability. The average value of the winning number is the expected value of the binomial distribution.

The probability mass function of the binomial distribution is defined as:

[tex]P(X=x)=\frac{n}{x} p^{x} (1-p)^{n-x} , x =0,1,2,3,....,n.[/tex]

Given that,

n = 20

p = 0.10

The required probability is P(X≥3)

P(X≥3) = 1-P(X<3)

P(X≥3)= 1-P(X=0)-P(X=1)-P(X=2)

P(X≥3)= 1- 0.1216- 0.270- 0.285

P(X≥3) = 0.3234

The mean of the distribution is defined as μ=n*p= 20*0.10= 2

The average number of winning tickets that the woman buys each month is 2.

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The number of violent crimes committed in a city on a given day in a random sample of 90 days is a discrete random variable.

A random variable refers to a numerical quantity that is obtained by a random experiment. A random variable is known as discrete if it has either a finite or a countable number of possible values while it is called continuous if its possible values contain a whole interval of numbers. Hence, a discrete random variable refers to a variable that can take any whole number values as outcomes of a random experiment. It is a variable whose value is obtained by counting. Probability distributions are used to illustrate the values of discrete random variables. A discrete random variable is also known as a stochastic variable. Examples of a discrete random variable are a binomial random variable and a Poisson random variable. As the number of crimes committed in a city can only take discrete values such as 40 crimes, 50 crimes and cannot be 40.5 crimes, it is a discrete random variable.

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A. The top cycle in this case is a -> b -> c -> a.

B. The agenda that wins the candidate is:

First vote:

a vs b -> a wins

Second voice:

versus. c -> a wins

The agenda that Candidate B wins is:

First vote:

b vs c -> b wins

Second Voice:

b vs a -> b wins

The agenda that Candidate C wins is:

First vote:

c vs a -> c wins

Second Voice:

c vs b -> c wins

C. Using the Borda count system, the candidates' scores are as follows:

a:

18 points (6 points from voter 1, 4 points from voter 2, and 8 points from voter 3)

b:

18 points (4 points from voter 1, 6 points from voter 2, and 8 points from voter 3)

c:

18 points (6 points from voter 1, 8 points from voter 2, and 4 points from voter 3)

d:

12 points (8 points from voter 1, 4 points from voter 2, and 0 points from voter 3)

e:

12 points (4 points from voter 1, 8 points from voter 2, and 0 points from voter 3)

f:

12 points (8 points from voter 1, 0 points from voter 2, and 4 points from voter 3)

g:

6 points (4 points from voter 1, 0 points from voter 2, and 2 points from voter 3)

Therefore, candidates a, b, and c tie for first place with 18 points each.

D. No, the Borda count winner is not the Condorcet winner, because the Condorcet winner is the candidate who would win in a majority rule vote against every other candidate. In this case, candidate c is the Condorcet winner, because c beats a and b in majority rule votes.

E. The candidate with the worst score in the Borda count is  g of 6 points.

F. If a candidate fails, the original worst candidate may no longer be the worst. In this case, if candidate g fails, the remaining candidates will have the following results:

a:

15 points (Voters 1 to 5 points, Voters 2 to 4 points, Voters 3 to 6 points)

b:

15 points (Voters 1 to 4 points, Voters 2 to 5 points, Voters 3 to 6 points)

c:

15 points (Voters 1 to 5 points, Voters 2 to 6 points, Voters 3 to 4 points)

Day:

10 points (voters 1 to 6 points, voters 2 to 4 points, voters 3 to 0 points)

e:

10 points (voters 1 to 4 points, voters 2 to 6 points, voters 3 to 0 points)

f:

10 points (voters 1 to 6 points, voters 2 to 0 points, voters 3 to 4 points)

In this case, g's 6-point score is not included in the calculation, so candidate g is no longer last.

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Answer:

-5 ≤ y < ∞.

Step-by-step explanation:

The range of a function is the set of all possible output values (y-values) of the function. To find the range of f(x) = |x| − 5, we can first consider what happens when x is positive. In this case, the absolute value of x is just x, so the function becomes f(x) = x − 5. For example, if x = 6, then f(x) = 6 - 5 = 1. We can do this for any positive value of x to find the y-values that the function produces when x is positive.

Next, we can consider what happens when x is negative. In this case, the absolute value of x is -x, so the function becomes f(x) = -x - 5. For example, if x = -6, then f(x) = -6 - 5 = -11. We can do this for any negative value of x to find the y-values that the function produces when x is negative.

We can then combine the y-values that the function produces when x is positive and negative to find the range of the function. Since the function produces all y-values greater than or equal to -5 when x is positive and all y-values less than or equal to -5 when x is negative, the range of the function is -5 ≤ y ≤ ∞.

Therefore, the correct answer is -5 ≤ y < ∞.