What is the slope of the line that passes through the points (-8, -3) and (-24, 1)? Write your answer in simplest form.​

The population Mean is lower than 1292 A.D. and lower bound is 1246.45.

We have the data:

1189 1267 1268 1275 1275 1271 1272 1316 1317 1230

So, population Mean

= (1189 + 1267 + 1275 + 1275 + 1271 + 1272 + 1316 + 1317 + 1230) / 9

= 11412/9

= 1268

Now,  t-value for a 90% confidence interval with 8 degrees of freedom (n-1):

t = t(0.05, 8) = 1.860

So, the Lower bound

= X - (t x s/√n)

= 1268- 21.54686

= 1,246.45

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This equation is not satisfied for any value of x. Therefore, there is no optimal value of good x in this case.

To find the optimal value of good x in Ann's utility function U(x,z) = xz/(x+z) with pz = 1, we need to maximize the utility function.
To do this, we can take the derivative of the utility function with respect to x and set it equal to zero.
First, let's differentiate the utility function:
dU/dx = (z(x+z) - xz)/(x+z)^2
Setting this equal to zero, we have:
(z(x+z) - xz)/(x+z)^2 = 0
Simplifying, we get:
z(x+z) - xz = 0
Expanding and rearranging, we have:
xz + z^2 - xz = 0
Simplifying further, we get:
z^2 = 0
Since pz = 1, we can substitute z = 1 into the equation:
1^2 = 0
This equation is not satisfied for any value of x. Therefore, there is no optimal value of good x in this case.

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The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Answer:

The value of A is 3.

Step-by-step explanation:

In order to determine the value of A if the point (6,5) belongs to that linear relation, we need to apply the coordinates for that point on the equation and solve it for A. This is shown below:

A*x  - 4*y + 2 = 0

A*(6) - 4*(5) + 2 = 0

6*A -20 + 2 = 0

6*A - 18 = 0

6*A = 18

A = 18 / 6

A = 3

The value of A is 3.

Given:

Jerome ate 1/2 of the sandwich , Kevin ate 1/3 of the sandwich, and Seth ate the rest.

To find:

The ratio of jerome's share to kevin's share to seth's share.

Solution:

Jerome ate 1/2 of the sandwich. So,

Jerome's share = \(\dfrac{1}{2}\)

Kevin ate 1/3 of the sandwich. So,

Kevin's share = \(\dfrac{1}{3}\)

Seth ate the rest. So,

Seth's share = \(1-\dfrac{1}{2}-\dfrac{1}{3}\)

                     = \(\dfrac{6-3-2}{6}\)

                    = \(\dfrac{1}{6}\)

The ratio of jerome's share to kevin's share to seth's share is:

\(\dfrac{1}{2}:\dfrac{1}{3}:\dfrac{1}{6}\)

To simplify the ratio multiply the ratio by 6.

\(\dfrac{1}{2}\times 6:\dfrac{1}{3}\times 6:\dfrac{1}{6}\times 6\)

\(3:2:1\)

Therefore, the ratio of jerome's share to kevin's share to seth's share is 3:2:1.

True. Running the r bind function on V1 and V2 would give a warning.

The rbind function in R is used to combine or bind vectors, matrices, or data frames by rows. However, when using rbind(), the vectors being combined should have the same number of columns.

In this case, V1 has 6 elements, while V2 has 5 elements. Since the number of columns doesn't match, the r bind function would give a warning indicating that the binding operation is not possible due to the mismatched number of columns.

When attempting to combine V1 and V2 using rbind, R would throw a warning message similar to: "number of columns of result is not a multiple of vector length (arg x)". This warning indicates that the operation cannot be performed as intended due to the unequal number of elements in the vectors.

Therefore, running the rbind() function on V1 and V2 would result in a warning.

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Answer:

2=29

3=x?

kris kross

2x=3×29

2x=87

divide both sides by two

x=43.5

and

3=43.5

so find by this method

Answer:

\(15 - 10c = 13 \\ 10c = 15 - 13 \\ 10c = 2 \\ c = \frac{2}{10} \\ c = \frac{1}{5} \)

1. The number of days that we have to wait before the first Daily 4 number drawn in the California State Lottery is a 6.

This can be best described as a geometric distribution. The geometric distribution models the number of trials needed to achieve the first success in a sequence of independent trials with a constant probability of success.

In this case, each day can be considered a trial, and the probability of success (drawing the number 6) is the same for each trial (1/10).

2. The amount of time before the next plane crash in the United States.

This cannot be easily classified into one specific distribution. The occurrence of plane crashes typically does not follow a specific distribution pattern, and the time between crashes can vary widely.

It may be more appropriate to consider an exponential distribution, assuming that the events occur randomly and independently over time.

3. The number of typographical errors on a page in the rough draft of a report.

This can be best described as a Poisson distribution. The Poisson distribution is used to model the number of events that occur in a fixed interval of time or space, given a known average rate of occurrence.

In this case, the typographical errors occur randomly and independently on the page, and the average rate of occurrence can be estimated.

4. The number of times that a rifle shooter hits a target if he shoots 10 times.

This can be best described as a binomial distribution. The binomial distribution models the number of successes (hitting the target) in a fixed number of independent trials (shooting 10 times), where each trial has the same probability of success (hitting the target).

The probability of hitting the target can be estimated based on the shooter's skill level.

5. The number of phone calls that a salesperson gets in the next hour.

This can be best described as a Poisson distribution. The Poisson distribution is commonly used to model the number of events that occur in a fixed interval of time, given a known average rate of occurrence.

In this case, the phone calls occur randomly and independently, and the average rate of occurrence can be estimated.

6. The number of minutes that the salesperson is waiting before her next phone call.

This can be best described as an exponential distribution. The exponential distribution is commonly used to model the time between events in a Poisson process, where events occur randomly and independently over time.

In this case, the salesperson's waiting time follows an exponential distribution if the phone calls arrive randomly and independently according to a Poisson process.

7. The time of day that a meteor enters the Earth's atmosphere.

This cannot be easily classified into one specific distribution. The time of day that a meteor enters the Earth's atmosphere is subject to various factors and is not expected to follow a specific distribution pattern.

It may be more appropriate to consider a uniform distribution if the meteor entry times are equally likely throughout the day or a more complex distribution if there are known patterns or influences on meteor entry times.

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Answer:

D

Step-by-step explanation:

The required equation of the line is y = x + 1

One of the common ways to describe the equation of a line is in the slope-intercept form of the line. You may use this formula to determine a line's equation given its slope and y-intercept.

The Slope intercept form of a line is y = mx + c,

where m is slope and c is the y-intercept

Here we have

Points (1, 2) and (2, 3)

The Slope intercept form of a line is y = mx + c,

As we know, Slope (m) = (y₂ - y₁)/(x₂ - x₁)  

=> Slope of required line = (3 - 2)/(2 - 1) = 1/1 = 1

=> Slope, m = 1

The equation of the line will be: y = (1)x + c,

=> y = x + c

Since (1, 2) passes through the line

=> 2 = 1 + c

=> c = 1

then the equation will be y = x + 1  

Therefore,

The required equation of the line is y = x + 1  

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Answer:

d) f(n) = 4 . 3^(n-1)

______________

Step-by-step explanation:

exactly.

this creates 2 similar triangles.

that means all angles are the same. and all the side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.

15 × f = 30

f = 30/15 = 2

and now the same factor applies also to the relation of the heights :

6 × 2 = 12 ft

the tree is 12 ft tall.

The temperature change from a 5 - kilometer altitude increase is 35 degrees.

It is given in the question that for every 1-kilometer increase in altitude, the temperature drops 7 degrees Celsius.

We have to find the temperature change from a 5-kilometer altitude increase.

As, for 1 km altitude increase, the temperature drops by 7 degrees, hence by using unitary method, we can say that,

For 5 km altitude increase, the temperature will decrease by 7*5 = 35 degrees.

Unitary Method

The unitary method is generally a way of finding out the solution of a problem by initially finding out the value of a single unit, and then finding out the essential value by multiplying the single unit value.

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Answer:

Step-by-step explanation:

we should do multiplications first:

1)

\(1)12a^{2}*3ba=12a^{3}b\\2)2ab*3ab^{2}=6a^{2}b^{3}\\3)11aba=11a^{2}b\\4)12a^{3}b+6a^{2}b^{3}+11a^{2}b=a^{2}b(12a+6ab^{2}+11)\)

2)

\(1)1.5xy^{2}*(-4)xyz=-6x^{2}y^{3}z\\2)-4mnk*5m^{2}n^{3}k=-20m^{3}n^{4}k^{2}\\3)-6x^{2}y^{3}z-20m^{3}n^{4}k^{2}\)

Answer:

cant help you i dont one suck

Answer:

D.) 5 x 25 = 125

Step-by-step explanation:

The two numbers are 25 and 5. If you take 1/5 of 25, or simply divide by 5, you will get 5.

Answer:

A) X + Y = 30

B) X = .2Y OR X - .2Y = 0

We subtract B) from A)

1.2Y = 30

Y = 25  X = 5

X * Y = 125

Answer is d.) 125

Step-by-step explanation:

Answer:

-4/12

Step-by-step explanation:

This is true because what you do is y2-y1 over x2-x1 and you get uyour answer easily

The total distance Sam will travel is 56 miles.

A Fraction is a number that is a part of a whole. It is denoted by \(\frac{a}{b}\) form. In which the upper part 'a' denotes the numerator and the lower part 'b' denotes the denominator.

Let d be the total distance travelled by Sam.

Then, he travelled 12 miles plus 1/4 total distance = 12+ \(\frac{1}{4}\)(d)

He still needs to travel = \(\frac{3}{8}\)(d)+9

Total distance,d = 12+\(\frac{1}{4}\)(d)+\(\frac{3}{8}\)(d)+9

                       d = 12+9+\(\frac{5}{8}\)(d)

                       d = \(\frac{96 +72+5d}{8}\)

                     8d = 96+72+5d

               8d-5d = 168

                       d = \(\frac{168}{3}\)

                       d= 56 miles.

Hence, total distance Sam will travel today is 56 miles.

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The equation of the line in slope-intercept form is y = 6x + 55.

Equations can involve variables, which are placeholders for unknown values that we wish to find. For example, the equation x + 3 = 7 asserts that the value of x plus 3 is equal to 7. We can solve for x by subtracting 3 from both sides of the equation, obtaining x = 4.

Equations can be linear or nonlinear, and they can involve one or more variables. They can be represented in various forms, such as standard form, slope-intercept form, or quadratic form.

To find the equation of the line in point-slope form, we need to first find the slope of the line. We can use any two points from the table to find the slope using the formula:

slope = (change in y)/(change in x)

Let's use the first and last points in the table:

slope = (295 - 175)/(40 - 20) = 120/20 = 6

Now we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is any point on the line. Let's use the first point (20, 175):

y - 175 = 6(x - 20)

To write this equation in slope-intercept form, we need to isolate y:

y - 175 = 6x - 120

y = 6x + 55

So the equation of the line in slope-intercept form is y = 6x + 55.

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The example of choosing candy falls under the dignified criteria of Qualitative data. Then the correct option required is Option B.

Qualitative data refers to data that is considered descriptive and conceptual which are collected through questionnaires, observation, and interviews. candy choices in the given question fall under the description of Qualitative data. Due to the  following reasons

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Given:

44, 38, 21, 37, 48, 43, 28

To find the box-and-Visker plot representing the given data:

Let us write it in ascending order.

21, 28, 37, 38, 43, 44, 48.

The median of the given data is 38.

The median of the first three terms is 28.

The median of the last three terms is 44.

The lowest of the given data is 21.

The highest of the given data is 48.

Hence, the correct option c.

Answer  

Step-by-step explanation:

In millions of people, since 1950

To determine the number of terms we need to add in order to find the sum of the series with an error less than or equal to 0.002, we can use the concept of the Alternating Series Estimation Theorem.

The Alternating Series Estimation Theorem states that for an alternating series with terms decreasing in absolute value, the error in approximating the sum of the series by the sum of a finite number of terms is less than or equal to the absolute value of the next term.

In the given series, ∑n=1[infinity](−1)n−1n^2, the terms are decreasing in absolute value as n increases, so we can apply the Alternating Series Estimation Theorem.

The next term in the series, which determines the error, is given by (-1)^n * (n+1)^2. To ensure the error is less than or equal to 0.002, we need to find the smallest value of n such that:

|(-1)^n * (n+1)^2| ≤ 0.002

We can solve this inequality by testing values of n until we find the smallest value that satisfies it. Starting with n = 1:

|(-1)^1 * (1+1)^2| = 4 > 0.002

The inequality is not satisfied for n = 1.

Let's continue testing values of n:

|(-1)^2 * (2+1)^2| = 9 > 0.002

|(-1)^3 * (3+1)^2| = 16 > 0.002

|(-1)^4 * (4+1)^2| = 25 > 0.002

|(-1)^5 * (5+1)^2| = 36 > 0.002

|(-1)^6 * (6+1)^2| = 49 > 0.002

...

After testing a few values, we can see that the smallest value of n that satisfies the inequality is n = 9:

|(-1)^9 * (9+1)^2| = 100 > 0.002

Therefore, we need to add at least 9 terms in order to find the sum of the series with an error less than or equal to 0.002.

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Answer:

The answer is A

Step-by-step explanation:

3√x/4 is the equivalent expression of the expression  √18x ÷ √32

An expression is combination of variables, numbers and operators.

The given expression is √18x ÷ √32

We have to find the equivalent expression

Equivalent expressions are expressions that work the same even though they look different.

√18x/√32

√9×2x/√16×2

3√2x/4√2

The square root two in numerator and denominator will be cancelled

3√x/4

Hence, 3√x/4 is the equivalent expression of the expression  √18x ÷ √32

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The measure of the length MP is equal to 6.

Two triangles are similar triangles if they have the same corresponding angle measures and proportional side lengths.

Given is a triangle ΔOMN.

Now, ΔOMN and ΔOPQ are similar. This means that the side lengths are proportional to each other. We can write -

OP/OM = PQ/MN

12/OM = PQ/MN

12/(OP + PM) = PQ/MN

It is given that -

PQ = MP + 2

12/(OP + PM) = (MP + 2)/MN

12MN = (MP + 2)(OP + PM)

12 x 12 = (MP + 2)(MP + 12)

(MP)² + 12MP + 2MP + 24 = 144

(MP)² + 14(MP) - 120 = 0

Let MP = x, then we can write -

x² + 14x - 120 = 0

(x + 20)(x - 6) = 0

(x + 20) = 0   and    (x - 6) = 0

x = - 20   and   x = 6

x = 6      {Lengths cannot be negative}

Therefore, the measure of the length MP is equal to 6.

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Answer:

i got 2730 hope its right

Step-by-step explanation:

The value that would complete the table to make the relationship between the two quantity proportional is 4.

When two quantities are proportional, their relationship is constant for all values and as one quantity rises, the other rises as well.

A proportional relationship exists between two quantities if they can be written in the general form y = kx, where k is the proportionality constant. In other words, the ratio between these amounts never changes. In other words, no matter which pair of the two numbers you divide, you always obtain the same number k.

The value that would complete the table to make the relationship between the two quantity proportional is 4.

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The Answer:

T = -26/5

Answer:

72

Explanation:

First, we can find the top and bottom smaller squares of the rectangular prism. Since we are working with a variety of rectangles, we only need to use the equation L×W.

To start with, let's multiply 2×3, which gives us 6, the surface area of both the bottom and top rectangles, so now we need to multiply it by 2 to account for both of them. 6×2=12

Now, we'll find the surface area of the bigger rectangles in the middle, which are 6 by 3, so again we will need to multiply length times width, then by 2 to count both rectangles. 6×3=18×2=36

Finally, we can find the surface area of the smaller rectangles in the middle, which are 6 by 2. 6×2=12, then multiply by 2 since there are 2 of those rectangles, 12×2=24

Now to find the total surface area, we need to add the gathered surface area from each shape, 12+36+24=72