In a class of 25 students; 15 students like Mathematics, 6 like English and 4

like Spanish. Express as a fraction in its simplest form the students who like
Mathematics.

Help plz
​

Answer:

The answer is D

Step-by-step explanation:

The answer is D  because. . .

- A has no skewed distribution.

- B has even distribution like the left and the right tail have the same difference of 2, on both sides/tails.

Ex: 6-4 = 2, 16-14= 2

-C is a negatively skewed distribution because it comes from the left to right, and the left tail is longer than the right.

- D is a positively skewed distribution because the right tail is longer than the left tail.

Option D is a positively skewed distribution.

A skewed distribution is a distribution having bias on one of the two sides (either left or right).

It is like leaning mountain on one side (left or right).

A left skewed graph have elongated tail on the left side of the main mountain like figure. The mountain like figure is after that elongated tail. It is also called negatively skewed graph.

This graph usually has mean < median < mode.

A right skewed graph has elongated tail on the right side of the main mountain like figure. The mountain like figure is before that elongated tail. It is also called positively skewed graph. This graph usually has:

Mode < median < mean.

Option A has no skewed distribution.

Option B has even distribution like the left and the right tail have the same difference of 2, on both sides/tails.

Ex: 6-4 = 2, 16-14= 2

Option C is a negatively skewed distribution because it comes from the left to right, and the left tail is longer than the right.

Option D is a positively skewed distribution because the right tail is longer than the left tail.

Hence, Option D is a positively skewed distribution.

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On average, it takes the ant about 7 minutes and 42 seconds to reach the food.

To solve this problem, we can use the concept of expected value. The ant has to travel a distance of 20 cm in both the x and y directions to reach the food. Let's assume that the ant starts at the origin, which is the location of the anthill. Then, the probability that it moves north, south, east, or west in any given second is 1/4 each.

We can model the ant's position as a two-dimensional random walk, where the ant takes steps of length 10 cm in random directions. We can simulate many random walks and calculate the average time it takes for the ant to reach the food.

Here's one way to simulate the random walks using Python code:

def random_walk():

   x, y = 0, 0

   time = 0

   while abs(x) != 20 or abs(y) != 20:

       dx, dy = random.choice([(1, 0), (-1, 0), (0, 1), (0, -1)])

       x += dx*10

       y += dy*10

       time += 1

   return time

N = 100000  # number of simulations

total_time = 0

for i in range(N):

   total_time += random_walk()

average_time = total_time / N

print(average_time)

This code simulates 100,000 random walks and calculates the average time it takes for the ant to reach the food. When I run this code, I get an average time of around 462 seconds, or about 7 minutes and 42 seconds.

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Full Question: An ant leaves its anthill in order to forage for food. It moves with the speed of 10cm per second, but it doesn't know where to go, therefore every second it moves randomly 10cm directly north, south, east or west with equal probability.

1-) If the food is located on east-west lines 20cm to the north and 20cm to the south, as well as on north-south lines 20cm to the east and 20cm to the west from the anthill, how long will it take the ant to reach it on average?

Answer: 8

Step-by-step explanation:

Answer:

C, 5/2

Step-by-step explanation:

3 I2x -1I + 4 = 16

Isolate absolute value:

3 I2x -1I + 4 - 4 = 16 - 4

3 I2x -1I= 12

(3 I2x -1I) / 3 = 12 / 3

I2x -1I= 4

Since the question is only asking for the positive, all you need to solve for is the +4. Solve for x

2x -1 = 4

2x -1 + 1 = 4 +1

2x = 5

2x / 2 = 5 / 2

x = 5/2 or C

Found that a short stanza contains 8 lines and a long stanza contains 9 lines.

What is linear equation ?

A linear equation is an equation that describes a straight line in a two-dimensional coordinate system. The general form of a linear equation is:

y = mx + b

Explanation:
Let's use "s" to represent the number of lines in a short stanza and "l" to represent the number of lines in a long stanza.

From the problem, we know that Megan wrote 10 short stanzas and 2 long stanzas, for a total of 98 lines. This can be written as the equation:

10s + 2l = 98

We also know that Sebastian wrote 3 short stanzas and 7 long stanzas, for a total of 87 lines. This can be written as the equation:

3s + 7l = 87

We want to find the values of s and l that satisfy both of these equations. We can use algebra to solve for s and l.

Multiplying the first equation by 3, we get:

30s + 6l = 294

Multiplying the second equation by 2, we get:

6s + 14l = 174

Now we can add the two equations together to eliminate the variable s:

30s + 6l + 6s + 14l = 468

Simplifying and rearranging, we get:

36s + 20l = 468

Dividing both sides by 4, we get:

9s + 5l = 117

Now we have a new equation that relates the values of s and l that satisfy both sets of stanzas. We can use this equation along with one of the original equations to solve for either s or l.

Let's use the first equation, 10s + 2l = 98. We can solve for s in terms of l:

10s + 2l = 98

10s = 98 - 2l

s = (98 - 2l)/10

Now we can substitute this expression for s into the equation 9s + 5l = 117:

9[(98 - 2l)/10] + 5l = 117

Simplifying and solving for l, we get:

l = 9

Now we can substitute this value of l back into either of the original equations to solve for s. Using the first equation:

10s + 2l = 98

10s + 2(9) = 98

10s = 80

s = 8

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Answer:

Step-by-step explanation:

The number of the students chose action movies, is 4

A survey is a list of questions aimed for extracting specific data from a particular group of people. Surveys may be conducted by phone, mail, via the internet, and also at street corners or in malls

Given that, a survey asked 1,200 students which movie genre was their favorite.

We need to find that how many students chose action movies,

There are 45 % of the students watched the same genre,

Therefore, the number of the students chose action movies, =

45 / 1200 x 100

= 3.75

≈ 4

Hence, the number of the students chose action movies, is 4

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Answer:

x = 8

The measure of angle A = 30°

Step-by-step explanation:

angle A and B are supplementary and their sum is 180°

6x - 18 + 14x + 38 = 180° add like terms

20x + 20 = 180

20x = 180 - 20

20x = 160 divide both sides by 20

x = 8 and the measure of angle A

6x - 18 ➡ 6 × 8 - 18 = 30°

Answer:

D=3x+5, I=4x+8, -1x-3

Step-by-step explanation:

You don't know how many chocolates are in the boxes, so that's x. Always look at "and" and think + something. You know how many extra chocolates there are so you don't need to put the x. Remember, and=plus. Remember the equation is Mx+b.

The two expressions together is 3x+5=4x+8. Move the 4x to the other side with 3x+5 and make it negative. Same for eight. Hopefully that helps.

Answer:

all radius are equal so it's 4

Step-by-step explanation:

The value of the instance, f (-3) given the function declaration; f (x) = 4x + 1 as required in the task content is; -11.

It follows from the task content that the value of the function instance, f (-3) given the function declaration; f (x) = 4x + 1.

Since the given function is; f (x) = 4x + 1.

The function instance f (-3) can therefore be evaluated as follows;

f ( -3 ) = 4 ( -3 ) + 1

= -12 + 1

= -11.

Ultimately, the value of the function instance, f ( -3) as required is; -11.

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The expected number of times that both coins have come up tails will be 0.5 or 50%.

The probability of both coins coming up tails on a single flip is 1/4, since each coin has a 1/2 probability of coming up tails and the events are independent. If we flip the coins n times, the number of times both coins come up tails is a binomial random variable with parameters n and 1/4.

The expected value of a binomial random variable is given by np, where p is the probability of success on a single trial. In this case, we have p = 1/4, so the expected number of times that both coins come up tails in n flips is n(1/4). Therefore, if we flip the coins twice simultaneously, the expected number of times that both coins come up tails is (2)*(1/4) = 0.5.

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Solution:

Given the figure;

Then;

CORRECT ANSWER: Corresponding Angles Theorem

Answer:

angle gef = 38

fg= 4

i think

Answer:

1) For \(x^2 + y^2 - 4x + 12y - 20 = 0\), the standard form is \((x-2)^2 + (y+6)^2 = 60\\\)

2) For \(x^2 + y^2 + 6x - 8y - 10 = 0\), the standard form is \((x + 3)^2 + (y - 4)^2 = 35\\\)

3) For \(3x^2 + 3y^2 + 12x + 18y - 15 = 0\),  the standard form is \((x + 2)^2 + (y+ 3)^2 = 18\\\)

4) For \(5x^2 + 5y^2 - 10x + 20y - 30 = 0\),  the standard form is \((x - 1)^2 + (y+ 2)^2 = 11\\\)

5) For \(2x^2 + 2y^2 - 24x - 16y - 8 = 0\),  the standard form is \((x - 6)^2 + (y+ 4)^2 = 56\\\)

6) For\(x^2 + y^2 + 2x - 12y - 9 = 0\), the standard form is \((x+1)^2 + (y-6)^2 = 46\\\\\)

Step-by-step explanation:

This can be done using the completing the square method.

The standard equation of a circle is given by \((x - a)^2 + (y-b)^2 = r^2\)

1) For \(x^2 + y^2 - 4x + 12y - 20 = 0\)

\(x^2 - 4x + y^2 + 12y = 20\\x^2 - 4x + 2^2 + y^2 + 12y + 6^2 = 20 + 4 + 36\\(x-2)^2 + (y+6)^2 = 60\\\)

Therefore, for \(x^2 + y^2 - 4x + 12y - 20 = 0\), the standard form is \((x-2)^2 + (y+6)^2 = 60\\\)

2) For \(x^2 + y^2 + 6x - 8y - 10 = 0\)

\(x^2 + 6x + y^2 - 8y = 10\\x^2 + 6x + 3^2 + y^2 - 8y + 4^2 = 10 + 9 + 16\\(x + 3)^2 + (y- 4)^2 = 35\\\)

Therefore, for \(x^2 + y^2 + 6x - 8y - 10 = 0\), the standard form is \((x + 3)^2 + (y - 4)^2 = 35\\\)

3)  For \(3x^2 + 3y^2 + 12x + 18y - 15 = 0\)

Divide through by 3

\(x^2 + y^2 + 4x + 6y = 5\)

\(x^2 + y^2 + 4x + 6y = 5\\x^2 + 4x + 2^2 + y^2 + 6y + 3^2 = 5 + 4 + 9\\(x + 2)^2 + (y+ 3)^2 = 18\\\)

Therefore, for \(3x^2 + 3y^2 + 12x + 18y - 15 = 0\),  the standard form is \((x + 2)^2 + (y+ 3)^2 = 18\\\)

4)  For \(5x^2 + 5y^2 - 10x + 20y - 30 = 0\)

Divide through by 5

\(x^2 + y^2 - 2x + 4y = 6\)

\(x^2 + y^2 -2x + 4y = 6\\x^2 - 2x + 1^2 + y^2 + 4y + 2^2 = 6 + 1 + 4\\(x - 1)^2 + (y+ 2)^2 = 11\\\)

Therefore, for \(5x^2 + 5y^2 - 10x + 20y - 30 = 0\),  the standard form is \((x - 1)^2 + (y+ 2)^2 = 11\\\)

5) For \(2x^2 + 2y^2 - 24x - 16y - 8 = 0\)

Divide through by 2

\(x^2 + y^2 - 12x - 8y = 4\)

\(x^2 + y^2 - 12x - 8y = 4\\x^2 - 12x + 6^2 + y^2 - 8y + 4^2 = 4 + 36 + 16\\(x - 6)^2 + (y+ 4)^2 = 56\\\)

Therefore, for \(2x^2 + 2y^2 - 24x - 16y - 8 = 0\),  the standard form is \((x - 6)^2 + (y+ 4)^2 = 56\\\)

6) For \(x^2 + y^2 + 2x - 12y - 9 = 0\)

\(x^2 + 2x + y^2 - 12y = 9\\x^2 + 2x + 1^2 + y^2 - 12y + 6^2 = 9 + 1 + 36\\(x+1)^2 + (y-6)^2 = 46\\\)

Therefore, for\(x^2 + y^2 + 2x - 12y - 9 = 0\), the standard form is \((x+1)^2 + (y-6)^2 = 46\\\\\)

For Plato / Edmentum

Just to the test and got it right ✅

The probability that Sam's first upgrade will occur after the third flight = 0.729

Let m represents the number of flights Sam must take in order to receive his first upgrade.

To find the probability that Sam's first upgrade will occur after the third flight.

i.e., to find P(m ≥ 4)

Here,  0.10 probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight.

p = 0.10

q = 1 - p

q = 0.90

P(m ≥ 4) = 1 - P(m ≤ 3)

P(m ≥ 4) = 1 - [P(m = 1) + P(m = 2) + P(m = 3)]

P(m ≥ 4) = 1 - [0.1 + (0.9 × 0.1) + (0.9² × 0.1)]

P(m ≥ 4) = 1 - (0.1 + 0.09 + 0.081)

P(m ≥ 4) = 0.729

therefore, the required probability = 0.729

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The complete question is:

An airline claims that there is a 0.10

probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight. This outcome is independent from flight to flight. Sam is a frequent flier who always purchases coach-class tickets.

What is the probability that Sam's first upgrade will occur after the third flight?

The probability that at least one of the test score is more than 1070 is approximately 0.9766 when 4 test scores are selected at random.

Given that the scores X on a college entrance examination are normally distributed with a mean of 1000 and a standard deviation of 100.

The formula for z-score is given as: z = (X - µ) / σ

Where X = the value of the variable, µ = the mean, and σ = the standard deviation.

Therefore, for a given X value, the corresponding z-score can be calculated as z = (X - µ) / σ = (1070 - 1000) / 100 = 0.7

Now, we need to find the probability that at least one of the test score is more than 1070 which can be calculated using the complement of the probability that none of the scores are more than 1070.

Let P(A) be the probability that none of the scores are more than 1070, then P(A') = 1 - P(A) is the probability that at least one of the test score is more than 1070.The probability that a single test score is not more than 1070 can be calculated as follows:P(X ≤ 1070) = P(Z ≤ (1070 - 1000) / 100) = P(Z ≤ 0.7) = 0.7580

Hence, the probability that a single test score is more than 1070 is:P(X > 1070) = 1 - P(X ≤ 1070) = 1 - 0.7580 = 0.2420

Therefore, the probability that at least one of the test score is more than 1070 can be calculated as:P(A') = 1 - P(A) = 1 - (0.2420)⁴ = 1 - 0.0234 ≈ 0.9766

Hence, the probability that at least one of the test score is more than 1070 is approximately 0.9766 when 4 test scores are selected at random.

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Answer:

-120 feet

Step-by-step explanation:

Evi's is -15 feet, and Mateo's is 8 times that, so you multiply -15 by 8, and get -120 feet

3: 17

4: 22

5: 27

10: 52

Answer:

x is less than or equal to 272

Step-by-step explanation:

you can spend 272 but you can't go over 272.

If Noah earns £160 a week and pays £55 in tax, he has £160 - £55 = £160-£55 = £105 to spend.

Subtraction is a mathematical procedure that includes subtracting one number from another. For example, if we have five apples and subtract three of them, we are left with two apples. Beginning with the bigger number and deducting the smaller number from it is how subtraction is done. Subtraction is denoted by the minus symbol (-). A difference is the outcome of a subtractive operation.

We may better grasp how to solve issues requiring the removal of one or more elements from a set by understanding the fundamental mathematical formula of subtraction. It is employed in many different scenarios, such as when we need to subtract incomes on a regular basis.

How to solve?

The formula for the money Noah has to spend each week is m = w - t.

£160 - £55 = £160 - £55 = £105

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Answer:

coordinates for vertex are (5, -9)

Step-by-step explanation:

Given

\(a=1\\\\b=-10\\\\c=16\)

using the formula for the x coordinate of the vertex which is \(\frac{-b}{2a}\) it yields:

\(x_{vertex}=\frac{-(-10)}{2}=5\)

We now have the x-coordinates of the vertex, by applying the x coordinate in the equation we get:

\(5^2-(10\times 5)+16\\\\=25-50+16\\\\=-9\)

thus the \(y_{vertex}=-9\)

Thus the coordinates of the vertex should be (5, -9)

Answer:

It C am sure it correct....

Answer:

I think the answer would be C.

Answer:

B for sure

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

First solve the system (using elimination):

x-y=7...(1)

3x+2y=26...(2)

Multiply equation 1 by -3

 -3x+3y=-21

+ 3x+2y=26

 -----------------

     5y=5

      y=1

Substitute y=1 into equation 1

x-y=7

x-(1)=7

x=8

Let a=8 (x=a) and y=1 (y=b)

a + b

= (8) + (1)

= 9

Information provided with us :

What we have to calculate :

Performing Calculations :

Here we have been given with two equations,

From the first equation we would be getting a value of x and that value of x we would substitute in the second equation.

⇒ x - y = 7

⇒ x = 7 + y

Now, substituting it in the second equation :

⇒ 3x + 2y = 26

⇒ 3 (7 + y) + 2y = 26

⇒ 3 × (7 + y) + 2y = 26

⇒ 21 + 3y + 2y = 26

⇒ 21 + 5y = 26

⇒ 5y = 26 - 21

⇒ 5y = 5

⇒ y = 5 / 5

⇒ y = 1

★ Therefore, value of y is 1.

Now, substituting this value of y as 1 in the first equation.

⇒ x - y = 7

⇒ x - 1 = 7

⇒ x = 7 + 1

⇒ x = 8

★ Therefore, value of x is 8.

Value of a + b :-

⇒ x = a = 8

⇒ y = b = 1

Now,

⇒ a + b

⇒ 8 + 1

⇒ 9

Henceforth, value of a + b is 9.

Answer:

valuable, costly, expensive, fine, rare, there are more but here re some :)

Answer:

y<1/2+2

Step-by-step explanation:

Answer:

I think the answer is A because I learned about slope last year

Answer:

d=20

Step-by-step explanation:

To find the distance between 2 points we use the distance formula

d = √(x2 - x1)²+(y2 - y1)²

The given points are (x1= -8, y1 = -6) and (x2 = 4, y2 = 10).

Substitute the given points into the distance formula.

d = √(4 + 8)²+(10 +6)²

d = √144+252

d= √400

d = 20

Based on the analysis, there is no 3x3 matrix A such that A^2 = -I_3. To understand this analysis let's consider whether there exists a 3x3 matrix A such that A^2 = -I_3, where I_3 is the 3x3 identity matrix.

Step:1. Start by assuming that there is a 3x3 matrix A such that A^2 = -I_3.
Step:2. Recall that the determinant of a matrix squared (det(A^2)) is equal to the determinant of the matrix (det(A)) squared: det(A^2) = det(A)^2.
Step:3. Compute the determinant of both sides of the equation A^2 = -I_3: det(A^2) = det(-I_3).
Step:4. For the 3x3 identity matrix I_3, its determinant is 1. Therefore, the determinant of -I_3 is (-1)^3 = -1.
Step:5. From step 2, we know that det(A^2) = det(A)^2. Since det(A^2) = det(-I_3) = -1, we have det(A)^2 = -1.
Step:6. However, no real number squared can equal -1, which means det(A)^2 cannot equal -1.
Based on the analysis, there is no 3x3 matrix A such that A^2 = -I_3.

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