finding the slope to points ​

Answer:

4 1/3(b-21) im pretty sure

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Answer:

Ab^2 = CA^2 + BC^2

8^2 = 6^2 + a^2

64 = 36 + a^2

64-36 = a^2

28 = a^2

square root of 28 = square root of a^2

5 ,29 = a

5 = a

Answer:

\(-24\)

Step-by-step explanation:

\(\left(3\right)\left(-4\right)\left(2\right)=3\times -4\times 2=-12\times 2=-24\)

You can work with lemma proof​ by following steps 1 to 6 listed below.

A lemma is a small result that is used to help prove a larger theorem. In order to work with lemma proofs, you can follow the general steps outlined below:

1. Understand the problem: Read and understand the theorem that you are trying to prove. Identify any key concepts or terminology that you need to know.

2. Identify the lemmas: Look for any smaller results or lemmas that could help you prove the larger theorem. These might be established results from earlier in the course or in related subjects.

3. Prove the lemmas: If the lemmas you need have not already been established, you will need to prove them yourself. Use the same techniques you would use to prove the larger theorem, but on a smaller scale.

4. Apply the lemmas: Once you have established the lemmas you need, use them to help prove the larger theorem. Clearly state which lemmas you are using and why they are relevant.

5. Write a clear and concise proof: Write out the proof of the theorem, making sure to use clear and concise language. Make sure to justify each step of the proof and to explain how the lemmas are being used.

6. Check your work: Double-check your work to make sure that your proof is correct and that all the steps are justified.

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Answer:

D

Step-by-step explanation:

0.405 × 5.3 = 2.1465

The reciprocal of 3 7/8 is 8/31.

To find the reciprocal of a number, we invert the fraction by swapping the numerator and denominator.

Let's calculate the reciprocal of 3 7/8.

First, we need to convert the mixed number into an improper fraction. To do this, we multiply the whole number (3) by the denominator (8) and add the numerator (7). This gives us:

3 7/8 = (3 x 8 + 7) / 8 = 31/8

Now, to find the reciprocal, we invert the fraction:

Reciprocal of 31/8 = 8/31

Therefore, the reciprocal of 3 7/8 is 8/31.

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Answer:

40.9 %

Step-by-step explanation:

8.8   is   .4 hours above the mean this is  .4/1.77 = .226 standard deviations above the mean

 Using z-score table this corresponds to ~ .5910    (59.10%)

    this percentage is LESS than 8.8 hours

      the percentage ABOVE this is 40.9%

(Not asked, but this is  40.9 (40 ) = ~ 16 of the 40 mechanics sampled)

Answer:

see explanation

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a hexagon has 6 sides , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

12

the polygon has 5 sides , so

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

y + 90 + 120 + 90 + 110 = 540

y + 410 = 540 ( subtract 410 from both sides )

y = 130

13

the polygon has 7 sides , so

sum = 180° × (7 - 2) = 180° × 5 = 900°

sum the interior angles and equate to 900

p + 90 + 141 + 130 + 136 + 123 + 140 = 900

p + 760 = 900 ( subtract 760 from both sides )

p = 140

The correct interpretation of a 90% confidence interval of a proportion is option D: "Ninety percent of the population proportions will fall within the limits of the confidence interval."

What is the confidence interval?

The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.

This means that if we were to take many random samples from the same population and compute a 90% confidence interval for each sample, we would expect that about 90% of these intervals would contain the true population proportion.

Option A is incorrect because it refers to the sample proportions, not the population proportion.

Option B is incorrect because it implies that there is a probability that the population proportion falls within the interval, which is a common misconception. The population proportion is fixed and is either in the interval or not. The interval is a range of plausible values for the population proportion based on the sample data and the level of confidence chosen.

Option C is incorrect because it implies that 90% of the confidence intervals contain the population proportion, which is not necessarily true. We can only say that about 90% of the intervals will contain the population proportion if we repeat the sampling and interval construction process many times.

Hence, The correct interpretation of a 90% confidence interval of a proportion is option D: "Ninety percent of the population proportions will fall within the limits of the confidence interval."

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Complete question:

Which of the following is the correct interpretation of a 90% confidence interval of a proportion? A Ninety out of 100 sample proportions will fall within the limits of the confidence interval. B There is a 0.10 probability that the population proportion falls within the limits of the confidence interval. Ninety out of 100 confidence intervals will contain the population proportion. Ninety percent of the population proportions will fall within the limits of the confidence interval.

Answer:

Step-by-step explanation:

You want to know which set of equations could be combined in such a way as to result in the equation 3x = 18.

To obtain a term of 3x, the second equation must be subtracted from the first. That will result in 3x +2y = 18, not the equation of interest.

A term of 3x can be obtained by adding twice the first equation to the second:

  2(x +y) +(x -2y) = 2(4) +(10)

  3x = 18 . . . . . as required

A term of 3x can be obtained by subtracting the second equation from the first. That will result in 3x +2y = 18, not the equation of interest.

These equations are dependent. The second is the opposite of the first. They have an infinite number of solutions, not the single solution of the system of equations of interest.

Answer:

pemdas

Step-by-step explanation: pemdas means please excuse my dear aunt sally meaning paranthesiss multiplication division addition and subtraction ^^ tell me if you want more definiton

Answer:

The probability the earth is saved is \(P(X >  3) = 0.8753 \)

Step-by-step explanation:

From the question we are told that  

   The number of missiles lunched by earth is n =  500

   The probability that each missile will hit the rocket is  p(x) =  0.01

Generally the expected number of  missiles that will hit the rocket is  

    \( \lambda =  n  *  p(x)\)

    \(\lambda =  500  *  0.01 \)

    \(\lambda =  5\)

Gnerally the probability that Earth will be saved is mathematically represented as

      \(P(X >  3) =  1 - P(X \le 2)\)

=>    \(P(X >  3) =  1 -  P( X = 0 ) + P(X =1 ) + P( X = 2) \)

Gnerally the probability distribution function of a Poisson distribution is

      \(P(K) =  \frac{e^{- \lambda t } *  (\lambda *  t)^k}{k!}\)

Here t =  1

Hence

      \(P( X = 0 ) =  \frac{e^{-5} *  5^0 }{0!}\)

      \(P(X =1 ) =\frac{e^{-5} *  5^1 }{1!}\)

     \(P( X = 2) = \frac{e^{-5} *  5^2 }{2!}\)

 \(P(X >  3) =  1 - [ \frac{e^{-5} *  5^0 }{0!} + \frac{e^{-5} *  5^1 }{1!} +  \frac{e^{-5} *  5^2 }{2!}]\)

\(P(X >  3)= 1 - [ \frac{0.00673 }{1} + \frac{0.033689}{1} +  \frac{0.168449 }{2}]\)

\(P(X >  3) = 0.8753 \)

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Answer:

the rise is 6 and the run is 7.  the rate of leaking per minunte is about .8  gallons per minute

Step-by-step explanation:

i think its right this time

Answer: 30

Step-by-step explanation:

The scale is 1 in : 6 yd. the drawing was 5 inches. Multiply the drawing measurement (5) times the yards cause that’s the measurement you want and you get 30 yards.

Step-by-step explanation:

a. Given a positive test result, the probability that a random patient has the disease is called the positive predictive value (PPV). The PPV can be calculated using the following formula:

PPV = Sensitivity * Prevalence / (Sensitivity * Prevalence + (1 - Specificity) * (1 - Prevalence))

Plugging in the values given in the question, we get:

PPV = 0.92 * 0.01 / (0.92 * 0.01 + (1 - 0.93) * (1 - 0.01)) = 0.087

So, the probability that a random patient has the disease given a positive test result is 0.087 or 8.7%.

b. A tree diagram for a typical sample of patients with a positive test result would look something like this:

+-----------+-----------------+

| Test Result| Positive (TP + FP) |

+-----------+-----------------+

| | TP (Disease) |

| | 0.92 * 0.01 |

| | FP (No Disease)|

| | 0.08 * 0.99 |

+-----------+-----------------+

c. If the prevalence is lower, the proportion of positive test results due to false positives (FP) increases compared to true positives (TP). This is because the positive predictive value (PPV) decreases as the prevalence decreases, meaning that a larger proportion of positive test results are due to false positives. This is why the proportion in error is larger if the prevalence is lower.

The line of best fit for the set of data in this problem is given as follows:

y = 0.613x + 4.142.

To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) of the data-set in the calculator.

The points for this problem are given as follows:

(-2, 2.9), (-3.5, 2), (1.4, 4.8), (-4.2, 1.5), (0,4), (2.8, 6), (-1.5, 3.5).

Inserting these points into a calculator, the line of best fit is given as follows:

y = 0.613x + 4.142.

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Given statement solution is :- The total number of ski trails is 25.

To calculate the total number of ski trails, you need to count the number of distinct entries in the given list. Here is the breakdown of the entries in your list:

2/ 3/1/ 3

31/2 3/1/2

3/2 31/1

2/21/

24/ 12/

112

31/1/2

M

M

31/1

14

After removing duplicate entries and considering each slash (/) as a separator for multiple trails in a single entry, we can identify the following trails:

2, 3, 1, 3 (4 trails)

31, 2, 3, 1, 2 (5 trails)

3, 2, 31, 1 (4 trails)

2, 21 (2 trails)

24, 12 (2 trails)

112 (1 trail)

31, 1, 2 (3 trails)

M (1 trail)

14 (1 trail)

31, 1 (2 trails)

Adding up the number of trails from each entry, we get:

4 + 5 + 4 + 2 + 2 + 1 + 3 + 1 + 1 + 2 = 25

Therefore, the total number of ski trails is 25.

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Answer:

(-10, -8)

Step-by-step explanation:

4u

Each component of vector u is multiplied by 4. So

u = (3, 1)

4u = (4*3, 4*1) = (12,4).

v – 4u

Subtraction of the components of vector v by the components of the vector 4u. So

v - 4u = (2, -4) - (12, 4) = (2-12, -4 - 4) = (-10, -8)

The value is (-10, -8)

Answer:

they added the radius of uranus, saturn and jupiter.

Step-by-step explanation:

Uranus= 25362

Saturn= 58232

Jupiter= 69911

add em up to get: 153,505

Diane plans to arrive at 7:30 A.M.

Time is a notion that is used to quantify the length and progression of occurrences. It is a key aspect of how things work and can be expressed in terms of hours, minutes, seconds, and other time intervals. Time helps us schedule, coordinate, and comprehend the sequence of events in our daily lives. It also enables us to arrange and synchronize activities.

If we take the assumed intended arrival time of 8:00 A.M. and deduct Diane's anticipated arrival time of 30 minutes, we get the intended arrival time.

Therefore, Diane plans to arrive at 7:30 A.M.

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The total number of whole number between -4 and 6 are 7 that are 0,1,2,3,4,5,6.

Whole numbers are the complete set of natural numbers plus '0'. Examples include: 0, 11, 25, 36, 999, 1200, and so on. Learn more about numbers by clicking here.

Integers supplement this set of numbers because they include negatives, but otherwise follow the same rules. As a result, all whole numbers are integers (because they are all positive integers), but not all integers are whole numbers (because some are negative).

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This is a contradiction, so our original assumption that g(x) = f(x) must be false. Therefore, the solution is not true algebraically.

What are functions ?

In mathematics, a function is a rule that maps each element in a set (the domain) to a unique element in another set (the range). It is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. Functions are commonly represented using function notation, where the symbol "f" is used to represent the function, and the input value is placed inside parentheses. For example, if the function takes the input "x" and returns the output "y"

According to the question:
To prove algebraically that g(x) = f(x), we need to show that the expressions for g(x) and f(x) are equivalent for all values of x. That is, we need to show that:

2x²+3x-1 = x²-3

We can start by simplifying both sides of the equation:

2x²+3x-1 - (x²-3) = 0

Simplifying the left side, we get:

2x²+3x-1 - x²+3 = x²+3x+2

Now we can simplify the right side:

x²+3x+2 = (x+1)(x+2)

Substituting this expression back into the equation, we get:

2x²+3x-1 - x²+3 = (x+1)(x+2)

Simplifying the left side again, we get:

x²+3x-4 = (x+1)(x-4)

Now we have:

(x+1)(x-4) = (x+1)(x+2)

We can cancel out the factor of (x+1) from both sides, since it is not equal to zero for any value of x:

x-4 = x+2

Subtracting x from both sides, we get:

-4 = 2

This is a contradiction, so our original assumption that g(x) = f(x) must be false. Therefore, the solution is not true algebraically.

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510,000,000 million km²

Let us represent the total surface area of the earth as = x

We are told in the question that:

Water covers 70.8%, or about 3.61 × 10⁸ km², of the Earth's surface.

70.8% = 0.708

Hence,

0.708 × x = 3.61 × 10⁸

x = 3.61 × 10⁸/0.708

x = 361000000/0.708

x = 509,887,005.65km²

Therefore, the total surface are the earth approximately to the nearest million = 510,000,000 million km²

This is the number "510 million"

=======================================================

Work Shown:

The times 10⁸ means "times 100 million"

3.61 x 10⁸ = 3.61 * 100 million = 361 million

S = surface area of the earth

70.8% of S = water coverage area

70.8% of S = 361 million square km

0.708S = 361 million square km

S = (361/0.708) million square km

S = 509.887 million square km

S = 510 million square km

S = 510,000,000 square km

Answer:

[4] Function

[5] Not a function

[6] Function

Step-by-step explanation:

    The vertical line test is a test to determine if the line graphed is a function. Taking a vertical line, you move it left and right through the graph. If, at any point, there are two or more intersections in the vertical line, the graph is not a function.

     4 and 6 pass the test meaning they are functions, 5 does not.

Answer:

2/5x6/7 = 12/35

Step-by-step explanation:

when we multiply fractions we multiply the denominators together and the numerators as well, so 2 x 6 = 12. and  5 x 7 =35

12/35

DFS can be used because the graph is directed and all of the edge weights are positive.

What is Algorithms?

An algorithm is a process used to carry out a computation or solve a problem. In either hardware-based or software-based routines, algorithms function as a detailed sequence of instructions that carry out predetermined operations sequentially. All aspects of IT employ algorithms extensively.

Steps can be taken. There may be a path from v to z* but not from z* to v or different from each with different weights, so we just need to apply DFS, dijkstras twice, starting with vertex v, to find the path length until z*. Then we need to add the path weights.

The problem is clear in that we need to find path weight from v to z* and z* to v. There may be more than one path that leads from v to z*, thus we must locate them all and store some of them because each loop will require a time complexity of O(V+E).

where, in the given graph, E stands for edges and V for vertex. When a graph is complete, meaning there is a path connecting every vertex to every other vertex, we must execute this technique V times to determine the total number of paths. As a result, the time complexity is O(V(V+E)).

Then we must repeat the process from z* to v, but this time we must choose every path whose weights satisfy the specified condition. In the worst case, we must repeat this process (V-1) times, thus the time complexity will be the same as before. As a result, our time complexity will be O(V(V+E)) overall.

Since the graph is directed and every edge weight is positive, DFS may be used.

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Answer:both a and b are correct

Step-by-step explanation: