help please, i have a test tomorrow

The range, variance and standard deviation of the is :

Given the data :

39 37 35 27 19 16 13 9 8.6 7.8

Arranging in ascending order :

7.8, 8.6, 9, 13, 16, 19, 27, 35, 37, 39

Range = maximum - minimum values

Maximum value = 39

Minimum value = 7.8

Range = 39 - 7.8 = 31.2

The variance :

The variance : Σ(X - m)² / (n - 1)

m = mean

n = number of items

m = ΣX/ n = 211.4 / 10 = 21.4

Variance = [(39-21.14)^2 + (37-21.14)^2 + (35-21.14)^2 + (27-21.14)^2 + (19-21.14)^2 + (16-21.14)^2 + (13-21.14)^2 + (9-21.14)^2 + (8.6-21.14)^2 + (7.8-21.14)^2] / (10-1)

Variance = 1376.804 / 9

Variance = 152.978

Standard deviation = √variance

Standard deviation = √152.978

Standard deviation = 12.368

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Answer:

10

Step-by-step explanation:

ABC is similar to RST,

so BC is corresponding to ST, and AC is corresponding to RT

BC=12 and ST=8

so the scale factor from RST to ABC is 1.5 and the scale factor from ABC to RST is 2/3 because 12*(2/3) is 8, and 8*1.5 is 12.

now apply this to AC to find RT

AC=15

15*(2/3)=10

10*1.5=15

RT =10

Answer:56

Step-by-step explanation: -8x-7=56

Answer: -15

Step-by-step explanation: it will just give you a higher negative number it is literally the opposite from positive equations if u have to negative numbers u add them if there is a negative AND a positive then you substract them :)

The value of v is: v = (-9, 5).

Open angled bracket negative 9 comma 5 close angled bracket.

Then the correct option is B.

We have,

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

Vector v has an initial point at (7, 6) and a terminal point at (−11, 16).

Then the vector v is given as

v = 1/2 [(-11 - 7), (16 - 6)]

v = 1/2 [(-18), (10)]

v = (-9, 5)

Then the correct option is B.

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Answer:

Explanation:

given:

∠T=90° , ∠R=39° and TR = 55 ft

ST = 55×tan(39)

ST = 55×0.80..

ST = 44.54 ft

Answer:

450 - 120 - 80

=250

2/5 × 250 = 100. A

3/5 × 250 = 120 B

Answer:

Grade A   2:9

Grade B   1:3

Grade C  4:15

Step-by-step explanation:

Students in grade A:

\(450-(120+80)=450-200=250\)

if the ratio is 2:3 then

\(A=(250/5)(2)=(50)(2)=100\) students

The ratio of students with grade A:

\(\frac{100}{450}=\frac{10}{45} =\frac{2}{9}\)

= \(2:9\)

Students with grade B.

\(B=250-100=150\)

The ratio of B:

\(\frac{150}{450} =\frac{15}{45} =\frac{1}{3}\)

\(= 1:3\)

Ratio of students with grade C:

\(=\frac{120}{450} =\frac{12}{45} =\frac{4}{15}\)

\(=4:15\)

Hope this helps

Answer:

24

Step-by-step explanation:

7(4) = 28

28 - 4 = 24

A function can be represented on a table and on a graph.

The models of the linear relationship between f(x) and x are:

\(\mathbf{A.\ f(x) = 30x + 22}\\\mathbf{C.\ The\ table}\\\mathbf{F.\ The\ graph}\)

The given parameters are:

\(\mathbf{Start = 22}\)

\(\mathbf{Additional = 30}\)

So, the function that models the linear relationship is:

\(\mathbf{f(x) = Start + Additional \times x}\)

Substitute known values

\(\mathbf{f(x) = 22 + 30 \times x}\)

Evaluate all products

\(\mathbf{f(x) = 22 + 30x}\)

Rewrite as:

\(\mathbf{f(x) = 30x + 22}\)

By comparing the above function to the list of options, we have the true options to be:

\(\mathbf{A.\ f(x) = 30x + 22}\\\mathbf{C.\ The\ table}\\\mathbf{F.\ The\ graph}\)

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Answer:

hello. D:[-5,4]. R:[-6,1]

Step-by-step explanation:

when you are asked about domain it mean the least amount of x to the most of it . look st the graph least is -5 and most is 4

for range you look at the y the my st and the least

least -6 and most 1

i hope you understand

if you have any questions don't hesitate to ask

Han should expect to pay $90 for the ticket if he buys it the day of the game.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Han should expect to pay $90 for the ticket if he buys it the day of the game

The current ticket fee = $30

The markup = 200%

The markup = 200% of the current price

Markup = 200/100 ×30

= $60

The ticket fee on the game day = The current fee + The markup

The ticket fee on the game day = $30  +  $60

The ticket fee on the game day = $90

Hence, Han should expect to pay $90 for the ticket if he buys it the day of the game.

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Answer:

3/22

Step-by-step explanation:

Reciprocal means the inverse of the fraction. For your mixed number 7 and 1/3, turn it into fraction by multiplying 7 with the denominator which is 3, then add the numerator which is 1 to get the numerator of a normal fraction which is 22. The numerator remains the same.

The fraction is 22/3. As mentioned above, reciprocal means the inverse, so the final answer is 3/22

The reciprocal of a number in mathematics is referred to as the inverse of that number.

This means that:

Given a number x, its reciprocal is :

\(x = x/ 1= 1/x\)

Given a number 1/x, its reciprocal is

\(1/x = x/1\)

The reciprocal of \(7\frac{1}{3}\)  is \(\frac{3}{22}\)

From the question, \(7\frac{1}{3}\) is called a mixed fraction

Converting to an improper fraction

\(7\frac{1}{3}\) = \(\frac{22}{3}\)

The inverse of \(\frac{22}{3}\)

\(\frac{22}{3}\) = \(\frac{3}{22}\)

Therefore, the reciprocal of \(7\frac{1}{3}\)   is \(\frac{3}{22}\)

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Answer:

n=8

Step-by-step explanation:

3n=−8+4n

Simplify both sides of the equation.

3n=4n−8   (there isn't so It stays the same.

Subtract 4n from both sides.

3n−4n=4n−8−4n

−n=−8

Divide both sides by -1.

−n/-1 =−8/-1

Answer:

n=8

Answer:

You will have 40 mins before 100%

Step-by-step explanation:

The number of minutes taken to completely load is 60 minutes.

Given that, the virus is already 28% loaded if it is loaded at the rate of 12% every 10 minutes.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Here,

Remaining virus to load =100-28

= 72

The rate of 12% every 10 minutes

Now, 72/12

= 6

So, 6×10 =60 minutes

Therefore, the number of minutes taken to completely load is 60 minutes.

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This inequality represents the time for which the velocity of the ball will be between -90 and -58 ft/s. The ball's velocity will be between -90 and -58 ft/s for values of t that satisfy this inequality.

To find the time for which the velocity of the ball will be between -90 and -58 ft/s, we need to set up an inequality using the given velocity function.

The velocity function V(t) = -32t - 10 represents the vertical velocity of the ball in feet per second.

We want to find the time t for which the velocity is between -90 and -58 ft/s. Let's set up the inequality:

-90 < -32t - 10 < -58.

Now, let's solve this inequality step by step:

-90 < -32t - 10:

First, add 10 to all parts of the inequality:

-80 < -32t.

Next, divide both sides by -32. Remember that when we divide by a negative number, the direction of the inequality changes:

80/32 > t.

Simplifying, we get:

5/2 > t.

Now, let's look at the second part of the inequality:

-32t - 10 < -58.

Add 10 to all parts of the inequality:

-32t < -48.

Finally, divide both sides by -32. Again, the direction of the inequality changes:

t > 3/4.

Putting it all together, we have:

5/2 > t > 3/4.

This inequality represents the time for which the velocity of the ball will be between -90 and -58 ft/s. The ball's velocity will be between -90 and -58 ft/s for values of t that satisfy this inequality.

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there exists an integer that is greater than 5 and whose square is smaller than 40, express as a mathematical quantifiers ∃x∈ℤ: x > 5 ∧ x² < 40

1.  Start by writing down the equation: x² < 40

2.  Take the square root of both sides of the equation to isolate the variable x: √x² < √40

3.  Simplify both sides of the equation: x < √40

4.  Check that the result makes sense: x < 6.3

5.  Take the integer part of the result: x < 6

6.  Since the requirement is that x is greater than 5, the answer is x = 6.

We start by writing the equation x² < 40 and then take the square root of both sides to get x < √40. We check that the result is reasonable and then take the integer part of the result to get x < 6. Since the requirement is that x is greater than 5, the answer is x = 6. To confirm, we can calculate that x² = 36 which is smaller than 40, and indeed, 6 is greater than 5. Therefore, the integer that is greater than 5 and whose square is smaller than 40 is 6. This can be expressed mathematically as ∃x∈ℤ: x > 5 ∧ x² < 40 which translates to: There exists an integer x such that x is greater than 5 and the square of x is smaller than 40.

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The solution for the linear system will be , x(t) = 4 c₁e^t +  4 c₂e^t and

y(t) = -c₂e^t + c₂(1 - t)e^t .

The solution is given by ,

matrix | x y | = c₁ .v . e^λt  + c₂( w + v.t ) e^λt

Given that the matrix has repeated eigenvalue with eigenvector  generalized  vectors ,

λ = 1 with eigenvector v = [ 4 , -1 ] and  generalized  vectors w =[ 0,1 ].

then the solution will be,

c₁ [ 4 , 1 ] e^t +  c₂[ 0 , 1] + [ 4 , -1 ] )e^t

therefore,

x(t) = 4 c₁e^t +  4 c₂e^t

y(t) = -c₂e^t + c₂(1 - t)e^t

Matrixes represent linear maps and allow for explicit linear algebra operations. As a result, matrices play an important role in linear algebra, and most characteristics and operations in abstract linear algebra may be represented in terms of matrices.

Matrix multiplication, for example, depicts the combination of linear maps.

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Intersection of B'∩C = {k, y}

To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.

1. Complement of set B (B'):

The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.

2. Intersection between B' and C:

Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.

The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.

So, the answer to (b) is B'∩C = {k, y}.

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Step 1:

Given data

Cost of laptop = $1500

Total cost = $1590

Step 2

Find the tax

Tax = $1590 - $1500

Tax = $90

Step 3

Next, find the tax in percentage

Answer:

(0,6)

Step-by-step explanation:

It has minimum value zero and maximum value 6 that's why it  is the best approximation of the solution to the system to the nearest integer values

Answer:

C. 57 degrees.

Step-by-step explanation:

It's a line, so it adds to 180 degrees. The interior angle is 180 - 114 = 66 degrees.

A triangle adds up to 180 degrees. Subtract 66 to get 114 degrees. This means the two remaining angles in the triangle add up to 114 degrees. Since they are identical (both are the same because they use the same variable), you can divide 114 by two.

The final answer is 57 degrees.

Let me know if you have any questions.

Answer:

Minimum population of fish in lake = 2400 - 155 = 2245

Maximum population of fish in lake = 2400 + 155 = 2555

Step-by-step explanation:

population of fish in lake = 2400

Variation of fish = 155

it means that while current population of fish is 2400, the number can increase or decrease by maximum upto 155.

For example

for increase

population of fish can 2400 + 2, 2400 + 70, 2400 + 130 etc

but it cannot be beyond 2400 + 155.

It cannot be 2400 + 156

similarly for decrease

population of fish can 2400 - 3, 2400 - 95, 2400 - 144 etc

but it cannot be less that 2400 - 155.

It cannot be 2400 - 156

Hence population can fish in lake can be between 2400 - 155 and 2400 + 155

minimum population of fish in lake = 2400 - 155 = 2245

maximum population of fish in lake = 2400 + 155 = 2555

Answer:  the number that can be placed in the box to make the statement true is 3.

Step-by-step explanation:

To make the statement true, we need to find a number that, when added to 7, equals 10. From the given options, the number that satisfies this condition is 3.

If we substitute 3 for the box in the statement, it becomes:

If +7=10, then 10-7=3.

9514 1404 393

Answer:

  f(-1) = -1

Step-by-step explanation:

x = -1 falls in the middle segment, where -2 < x < 2. So, the applicable function definition is ...

  f(x) = -2x -3

  f(-1) = -2(-1) -3 = 2 -3

  f(-1) = -1

Answer:

1.6

Step-by-step explanation:

i used calculator

Answer:  1.6

Step-by-step explanation:

Answer:

B would equal -4

Step-by-step explanation:

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and

he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.  It is defined as the length of the opposite side divided by the length of the hypotenuse

The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360

2∅  2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720

sin 2∅ = sin0 = 0; Sin90=1;  sin180=0; sin240= -0.8660; sin270 = -1;

Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397

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Answer:

15% off

Step-by-step explanation:

mark brainliest please

Answer:

b

Step-by-step explanation: