A data set whose original x values ranged from 137 through 150 was used to general a regression equation of ŷ=-4.5x + 51. Use the regression equation to predict the value of y when x=145.
a Meaningless result
b -601.5
c -703.5
d -619.5

Answer

Check Explanation

Explanation

4) The domain refers to the values of the independent variable (x), where the dependent variable [y or f(x)] or the function has a corresponding real value. The domain is simply the values of x for which the output also exists. It is the region around the x-axis that the graph spans.

From the graph of this relation presented, the domain of this spans from x = -2.5 upwards.

Domain is (x > -2.5)

The range refers to the region of values where the function can exist. It refers to the values that the dependent variable [y or f(x)] can take on. It is the region around the y-axis that the graph spans.

From the graph, we can see that the mouth of graph keeps expanding as the we move from left to right, indicating that it will keep covering more of the y-axis as we go on.

So, range of this spans all the real number values of y.

A function is an expression that takes up each value of an independent variable (x) and gives a corresponding value of a dependent variable (y) without the same values of the independent variable (x) giving different values of the dependent variable (y).

We can see that there are cases where the same value of x gives multiple values of y like the at x = 0, y = 1 and y = -1.

So, this relation does not classify as a function.

5) Here, we are given that the relation is,

{(-2, 1) (4, 3) (8,-1) (-3,-4) (5,2)}

Noting that it is written in the form of (x, y)

Domain = {-2, 4, 8, -3, 5}

Range = {1, 3, -1, -4, 2}

We can see that no x value gives multiple y values.

Hence, this qualifies as a function

6) For this one where the line has an arrow at both ends, indicating that it continues till infinity

Therefore,

For the domain, we can tell that all the real number values of x will be the domain of this.

For the range similarly, it will cover all the real number values of y.

And this is a function as all the different values of x each give only one value for y.

We are then asked to compute the x and y intercept.

The x intercept is the point where the line crosses the x-axis and y = 0,

The y intercept is the point where the line crosses the y-axis and x = 0,

From the graph, we can see that

x-intercept = (8, 0)

y-intercept = (0, 4)

Hope this Helps!!!

Answer:

1. Angle Relationship: Alternate Exterior Angles

2. Angle Relationship: Same side Interior angles

3. Angle Relationship: Corresponding angles

Step-by-step explanation:

Alternate Exterior Angles are angles that are outside of the parallel lines and  are opposite of each other.

Same side Interior angles are angles that are inside the parallel lines and are on the same side of a transversal.

Corresponding angles are angles that are in the same matching corners.

Hope this helps! :)

Lhe result of the output will be 113. This was achieved by simply substituting the input value into the given function.

Since we are not given the required function, let the function machine be;

f(x) = 3x - 4 where:

If Jamison inputs the number 39 into the function machine, the output will be:

f(39) = 3(39) - 4

f(39) = 117 - 4

f(39) = 113

Hence the result of the output will be 113. This was achieved by simply substituting the input value into the given function.

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P(B∣A) is approximately 0.310, rounded to three decimal places.

To find the probability P(B∣A), we can use Bayes' theorem:

P(B∣A)= P(A) / P(A∣B)⋅P(B)

Given information:

P(B)=0.2

P(A∣B)=0.9

P(B')=0.8 (probability of not B)

P(A∣B′)=0.5 (probability of A given not B)

First, we need to calculate

P(A), the probability of event A. We can use the law of total probability to express P(A) in terms of the probabilities related to B and not B:

P(A)=P(A∣B)⋅P(B)+P(A∣B′)⋅P(B′)

Substituting the given values:

P(A)=0.9⋅0.2+0.5⋅0.8=0.18+0.4=0.58

Now, we can substitute the known values into Bayes' theorem:

P(B∣A)= P(A)/ P(A∣B)⋅P(B)

= 0. 9.0.2 / 0.58

Calculating this expression:

P(B∣A)≈ 0.5 80.18 ≈0.310

Therefore, P(B∣A) is approximately 0.310, rounded to three decimal places.

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Answer:

5^8/5^6 = 5^(8-6) = 5^2 = 25. Therefore, 5^8/5^6 simplified to a single power of 5 is 25.

Step-by-step explanation:

Answer:

the answer for that is 5^6-3 = 5^3 = 125

Step-by-step explanation:

We calculate the sum of these changes: 0.7% + (current year's change) + (current year's change) + (current year's change).= 0.25%. ( fictional )

To calculate the average change in the inflation rate, we require the inflation rates for each of the five years, including 2021. Let's assume the inflation rates for the five years are: 2.5%, 3.2%, 2.8%, 4.1%, and 3.9%.

To find the change in inflation rate for each consecutive year, we subtract the inflation rate of the previous year from the inflation rate of the current year. For example, the change in inflation rate from 2020 to 2021 would be 3.2% - 2.5% = 0.7%.

Next, we calculate the sum of these changes: 0.7% + (current year's change) + (current year's change) + (current year's change).

Finally, we divide the sum by the number of years (five in this case) to find the average change in the inflation rate over the five-year period. After rounding the result to two decimal places, we will have the desired average change in the inflation rate.

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Answer:

Mean = 32.8

Step-by-step Explanation:

Mean is given as Mean = (Σfx)/Σf

First, find the mid-point, x, of each class, and multiply by the frequency (f) of the class to get fx:

Class ==> f ==> x ==> fx

0-10   =>  3   =>  5  => 15

10-20 =>  8  => 15 => 120

20-30 => 10 => 25 => 250

30-40 => 15 => 35 => 525

40-50 =>  7  => 45 => 315

50-60 =>  4  => 55 => 220

60-70 =>  3  => 65 => 195

Sum the fx of all classes together to get Σfx:

Σfx = 15 + 120 + 250 + 525 + 315 + 220 + 195 = 1,640

Σf = 3 + 8 + 10 + 15 + 7 + 4 + 3 = 50

(Σfx)/Σf = \( \frac{1,640}{50} \)

(Σfx)/Σf = \( 32.8 \)

Mean = 32.8

Answer:

Median = 11

Mean = 19.8

Step-by-step explanation:

Arrange data points from small to large - Median will be the number in the middle

4 7 11 36 41

To get the mean add the numbers together and divide by the number of numbers there are.

The total is 99

5 numbers

99/5

= 19.8

Hope this helps

This equation implies that as the length of the rectangle increases, the width decreases, and vice versa. the width of the rectangle varies inversely with its length, and the constant of variation is 48.

To write the inverse variation equation for this scenario, we need to identify the constant of variation. In an inverse variation, the product of the width and length is always constant.

Given that the width (w) is 4 and the length (L) is 12, we can write the equation as follows:

w * L = k

Plugging in the values, we get:

4 * 12 = k

48 = k

So, the constant of variation (k) is 48.

Now, we can write the inverse variation equation:

w * L = 48

The inverse variation equation for this scenario is w * L = 48. This equation implies that as the length of the rectangle increases, the width decreases, and vice versa. In conclusion, the width of the rectangle varies inversely with its length, and the constant of variation is 48.

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Answer:

Infinite/Many solutions

Step-by-step explanation:

If u divide 4x+6y=12 then u get 2x+3y=6 so that means there’s infinite solutions

A preferred funding source for college will be a federal government fully funded scholarship.

The federal government funding source is a good choice because the government completely caters to the financial needs of the student. The student does not have to worry about paying the cost of tuition because these are wholly taken care of by the government.

The plan to attend college will work if one has the best grades to apply for scholarships. Scholarships are meant for deserving students and mostly those who have good academic results are considered for these.

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Answer:

D. ​Population, because it is a collection of salaries for all teachers in the school.

Step-by-step explanation:

In research, population refers to a complete set of subjects that share a characteristic and that the researcher is interested in. On the other hand, a sample is a subset of a population and it's usually the one the researcher takes to make a study with.

In this example, we have "The salary of each teacher in a school" since we are taking ALL the teachers of this school, this would be a population. If we were working with the salary of only a portion of the teachers of said school, it would be a sample.

Thus, the right answer is  D. ​Population, because it is a collection of salaries for all teachers in the school.

The following specific topics are covered in 8th grade math:

-Mathematical operations

-Resolving equations with a single unknown

- One-variable linear equations

-Expressions in algebra

- square roots and squares

- Geometry

- Cube and cube root

-Data management

These are the headings that were previously mentioned. These subjects need to be investigated in depth going forward.

Algebraic expressions: What are they?

Using letters or alphabets to represent numbers without giving their exact quantities is the idea behind algebraic expressions. The fundamentals of algebra taught us how to express an unknown value using letters like x, y, and z. These letters are referred to here as variables.

What components make up one-variable linear equations?

One-variable linear equation is represented by the following equation:

A and B are two integers, and X is a variable, hence ax+b = 0. There is just one answer to this equation.

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In this scenario, Nasim is flying a kite and measures the angle of elevation from his hand to the kite as 28 degrees. The string from the kite to his hand is 105 feet long, and he wants to determine the height of the kite above the ground.

To find the height of the kite above the ground, we can use trigonometry. The angle of elevation forms a right triangle with the ground and the string. The opposite side of the triangle represents the height of the kite. Using the trigonometric function tangent (tan), we can set up the following equation: tan(28 degrees) = height of the kite / length of the string. Rearranging the equation, we get: height of the kite = length of the string * tan(28 degrees). Substituting the values given, we have: height of the kite = 105 feet * tan(28 degrees). Evaluating this expression, we can find the height of the kite above the ground. Remember to round the answer to the nearest hundredth of a foot if necessary.

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# Complete Question :-  Nasim is flying a kite, holding his hands a distance of 2.5 feet above the ground and letting all the kites string play out. He measures the angle of elevation from his hand to the kite to be 28 degree. If the string from the the kite to his hand is 105 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.

Statement                                              Matching

bounded and uses brackets  { ]                 ≥

-5 is included in the solution                (- ∞, - 5] or(0, ∞)      

-5 is not included in the solution         (- ∞, - 10] or (- 5, ∞)

unbounded and uses parentheses ( )        - ∞

While using a brackets { ], the terms in the bracket are included in the solution hence we use ≥

While using a parentheses ( ), the terms in the parentheses are not included in the solution hence we have -∞. We can also use < or > or ∞. Since the terms no included in the solution

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Answer:

1 inch

Step-by-step explanation:

The value of pH for a sample of grape juice would be 4.4.

Given that,

A grape juice sample has a concentration of hydroxide ions of \(1.4 \times10^{-10} m\)

Now, The hydroxyl ion concentration in grape juice is, \(1.4 \times10^{-10} m\).

Hence, the value of pOH will be;

\(pOH = - log[1.4 \times10^{-10} ]\)

\(pOH = 9.6\)

Now the value of pH will be;

\(pH = 14 - pOH\)

\(pH = 14 - 9.6\)

\(pH = 4.4\)

Rounded to the nearest tenth.

Therefore, the value of pH is 4.4

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The grape juice sample has a hydroxide ion concentration of 1.4 x 10−10 m. After calculating for the hydronium ion concentration, we use the formula pH = -log [H3O+] to determine that the pH of the sample is approximately 4.2.

The subject of your question pertains to chemistry, specifically relating to the concept of pH and its calculation from the hydroxide ion concentration. As the sample of grape juice you mentioned has a hydroxide ion concentration of 1.4 x 10−10 m, we first need to find the concentration of hydronium ions. This can be determined using Kw (the ion product of water) which equals [H3O+][OH-] = 1.0 x 10-14 at 25°C. Given your hydroxide ion concentration, we have [H3O+] = Kw / [OH-], so [H3O+] = (1.0 x 10^-14) / (1.4 x 10^-10) = 7.14 x 10^-5 M.

Now, we can calculate the pH using the formula pH = -log [H3O+]. Substituting the value of [H3O+] into the equation gives pH = -log(7.14 x 10^-5) = 4.15. Rounded to the nearest tenth, this results in a pH value of 4.2 for your grape juice sample.

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The primary role of the United Nations is to cooperate in solving international economic, social, cultural, and humanitarian problems, while also promoting global collaboration in various sectors, including business.

The primary role of the United Nations is to cooperate in solving international economic, social, cultural, and humanitarian problems among member states. While the UN may also play a role in developing international business cooperatives, regulating international travel, emigration and immigration, and making international laws regarding commerce and the environment, its main focus is on promoting cooperation between nations to address global challenges and advance collective goals.
The primary role of the United Nations is to cooperate in solving international economic, social, cultural, and humanitarian problems, while also promoting global collaboration in various sectors, including business.

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Answer:

y = 1/3x - 1

Step-by-step explanation:

We can put this information in slope intercept form [ y = mx + b ], where m = slope and b = y-intercept. We are given both the slope and y-intercept so m = 1/3 and b = -1. Put this into the formula; y = 1/3x - 1

Best of Luck!

Answer:

ab=9

Step-by-step explanation:

AB=BC

2X+31=20+X

X=-11

ab= 20+(-11)

= 9

bc= 2(-11) +31

=9

ab+bc= ac

9+9=18

Answer:

40 gallons

Step-by-step explanation:

Answer:

40 gallons

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

because it is a linear equation

For percussionists, the median GPA is 4.0 .

To find the median GPA of the percussionists, we need to arrange their GPAs in order from lowest to highest: 2.4, 2.8, and 3.2. The middle value is the median, which in this case is 2.8. Therefore, the median GPA of percussionists is 2.8.

It is worth noting that the median is a more robust measure of central tendency than the mean, which can be influenced by extreme values. In this case, the median GPA of percussionists is 2.8, despite the fact that one percussionist had a GPA of 2.4, which is significantly lower than the other two. Therefore, the median provides a more accurate representation of the typical academic performance of percussionists in the band class.

In comparison, the median GPA of the flute players is between 3.84 and 3.88 since all 13 flute players had a GPA within that range. For the saxophone players, the median GPA is 4.0, as more than half (5 out of 9) had a GPA of 4.0, which is the highest possible GPA.

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Complete Quesiton:

Members of a band class were arguing over which instruments are played by the best academic students. A survey was conducted, and here are the results:

All 13 flute players had a grade point average (GPA) between 3.84 and 3.88.

There were only 3 percussionists. One had a GPA of 2.4, one had a GPA of 2.8, and one had a GPA of 3.2.

Among the saxophone players, 4 had a GPA of 3.9, and the other 5 had a GPA of 4.0.

For percussionists, the median GPA is _____.

To write out the joint probability for the given sentence using the chain rule, we can express it as follows: p(There, is, only, one, person, who, is, not, ordinary) =

p(There) * p(is | There) * p(only | is, There) * p(one | only, is, There) *, p(person | one, only, is, There) * p(who | person, one, only, is, There) *,p(is | who, person, one, only, is, There) * p(not | is, who, person, one, only, is, There) *,p(ordinary | not, is, who, person, one, only, is, There).

This expression applies the chain rule to break down the joint probability of the sentence into the product of the conditional probabilities of each word given the preceding words in the sentence. To write out the probability using the second-order Markov assumption, we assume that the probability of each word only depends on the two preceding words. Therefore, we can express the probability as follows:

p(There, is, only, one, person, who, is, not, ordinary) = p(There) * p(is | There) * p(only | There, is) * p(one | is, only) *
p(person | only, one) * p(who | one, person) * p(is | person, who) *
p(not | who, is) * p(ordinary | is, not)
This expression only considers the two preceding words for each word in the sentence, which is the second-order Markov assumption.

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Step-by-step explanation:

after a little bit of thinking and experimenting we find that the function multiplied x by 6 and subtracts 2.

y = 6x - 2

formally, we find this by using the normal linear form

y = ax + b

and we use the given data points to find a and b.

4 = a×1 + b = a + b

10 = a×2 + b = 2a + b

so, by adding a on one side and adding 6 on the other side, we keep the balance.

therefore, a = 6

the first equation gives us then

4 = 6 + b

b = -2

and that's it.

so,

for x = 10 we get as output (y)

6×10 - 2 = 58

for x = n we get as output (y)

6n - 2

Answer:

10

Step-by-step explanation:

7 + 3 = 10

Not really that much to it lol

Formula to calculate combinations is given by -

nCr=[n !]/[r ! * (n-r) !]

where,

nCr = number of combinations

n = total number of objects in the set

r = number of choosing objects from the set

Now, according to given -

n = 10 people

r = 5 callers

Hence,

Number of possible combinations = nCr

= 10C5

= (10!)/[5! * (10-5)!]

= 252

Thus, 252 different people could have made successful calls to the radio station.

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The statement "An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated" is False.

Consistency is an important property of estimators in statistics. An estimator is consistent if its value approaches the true value of the parameter being estimated as the sample size increases.

In other words, if we repeatedly take samples from the population and compute the estimator, the values we obtain will be close to the true parameter value.

This is an essential characteristic of a good estimator, as it ensures that as more data is collected, the estimation error decreases.

However, as the sample size decreases, the value of the estimator is more likely to deviate from the true value of the parameter. The reason for this is that a small sample size may not be representative of the population, and as a result, the estimation error may increase.

As a consequence, the statement is false. In conclusion, consistency is a property that an estimator possesses when its value converges to the true value of the parameter as the sample size grows.

As the sample size decreases, the estimator may become less reliable, leading to an increase in the estimation error.

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The answers are A. The model for the population is: \(P = -110(-20e^{(-t/20)} - 2000)\), \(B. P = -110(-20e^{(-19/20)} - 2000)\)Evaluating this expression yields the population after 19 days, and C. the entire trout population will die after approximately 14.46 days.

(a) To find a model for the population, we need to solve the differential equation \(dP/dt = -110e^{(-t/20)}\) with the initial condition P(0) = 2200.

Integrating both sides of the equation, we have:

\(∫dP = -110∫e^{(-t/20)} dt.\)

The left-hand side simplifies to P, and the right-hand side becomes:

\(P = -110(-20e^{(-t/20)} + C),\)

where C is the constant of integration.

Using the initial condition P(0) = 2200, we can substitute t = 0 and P = 2200 into the equation:

\(2200 = -110(-20e^{(0/20)} + C).\)

Simplifying further, we get:

2200 = -110(-20 + C).

Solving for C, we find C = -2000.

Thus, the model for the population is:

\(P = -110(-20e^{(-t/20)} - 2000).\)

(b) To find the population after 19 days, we substitute t = 19 into the population model:

\(P = -110(-20e^{(-19/20)} - 2000).\)

Evaluating this expression yields the population after 19 days.

(c) To determine when the entire trout population will die, we need to find the time at which P becomes less than one. We can set up the inequality:

P < 1

Using the model equation, we have:

\(e^{(2200e^{(-t/20)}} + ln(2200) - 2200) < 1\)

Taking the natural logarithm of both sides:

\(2200e^{(-t/20)} + ln(2200) - 2200 < 0\)

Simplifying the inequality, we get:

\(e^{(-t/20)} < (2200 - ln(2200))/2200\)

Taking the natural logarithm again:

-t/20 < ln((2200 - ln(2200))/2200)

Multiplying both sides by -20 (and flipping the inequality sign), we have:

t > -20 ln((2200 - ln(2200))/2200)

Approximately, t > 14.46 days

Therefore, the entire trout population will die after approximately 14.46 days.

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Answer:

\(p=61\)

Step-by-step explanation:

Since 52° and m° are vertical angles, and vertical angles are congruent, we know that \(m=52\). Now, because the sum of interior angles in a triangle is 180°, we can write the following equation to find p:

\(52 + 67+p=180\)

Solving for p, we get:

\(52+67+p=180\\119+p=180\\p=61\)