If n is an even integer such that 5≤n≤12, then what is the mean of all possible values of n?

The binomial experiment is given with probability of 11.16%

The mean is given by:

The standard deviation is given by:

The mean and standard deviation are calculated, the mean is 357.12 and the standard deviation is 17.812.

Answer:

They represent a number that you don't know or need to work out.

Step-by-step explanation:

If you need further explanation, let me know!

The equation that represents the situation is a = b- 4.

Since the plant grows at a constant rate, we can assume that the height of the plant is increasing linearly with time.

Let's use the data from Week 1 and Week 2 to find the rate of growth for each plant:

For Plant A: Growth rate = (24 cm - 22 cm) / (2 weeks - 1 week) = 2 cm/week

For Plant B: Growth rate = (28 cm - 26 cm) / (2 weeks - 1 week) = 2 cm/week

Since the growth rate is constant, we can use the equation of a line to model the height of each plant over time:

For Plant A: a = 2t + b, where t is the time in weeks and b is the initial height of the plant.

For Plant B: b = 2t + c, where c is the initial height of Plant B.

We can find the values of b and c by substituting the data from Week 1 into these equations:

For Plant A: 22 = 2(1) + b, so b = 20.

For Plant B: 26 = 2(1) + c, so c = 24.

Now we can substitute these values into the equations for Plant A and Plant B:

Plant A: a = 2t + 20

Plant B: b = 2t + 24

To find an equation that gives Plant A's height in terms of Plant B's height, we can solve the equation for t in terms of b:

b = 2t + 24

2t = b - 24

t = (b - 24) / 2

Then we can substitute this expression for t into the equation for Plant A:

a = 2t + 20

a = 2[(b - 24) / 2] + 20

a = b - 24 + 20

a = b - 4

So the equation we were looking for is:

a = b - 4

Therefore, to find Plant A's height in centimeters given Plant B's height in centimeters, we simply subtract 4 from Plant B's height.

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Answer:

Step-by-step explanation:

The system of equations with no solution is:

y + 3x = -7

4z - 2y = 10

The system of equations with exactly one solution is:

y = 6z+8

y = 6x-4

y = 3x + 2

2z-y = 5

y=-2z+8

The system of equations with infinitely many solutions is:

4z + y = 8

Answer: It is a reflection of Reflections of You (second location) in the x-axis.

Step-by-step explanation: Based on the given information, the relationship between the new location (The Gridiron) and the previous locations can be determined.

The correct answer is:

   It is a reflection of Reflections of You (second location) in the x-axis.

The coordinates of the first three checkpoints of The Gridiron (A''(0,−5), B''(9,−5), and C''(4,−5)) indicate that they have the same y-coordinate (-5) as the corresponding checkpoints in the second location, Reflections of You. However, there is no indication of a reflection in the y-axis or any transformation related to the first location, Transformation Fitness Studios. Therefore, the correct answer is that The Gridiron is a reflection of Reflections of You in the x-axis.

Answer:

∠E = tan

∠D = tan

Step-by-step explanation:

Common sense, only perpendicular and base is present.

Answer:

(6, 3)

Step-by-step explanation:

It is hard to see the graph since it got cut, but if I look at it the two lines intersect on (6, 3) which would be your answer. Hope this helps, thank you :) !!

Answer:

n = 16

Step-by-step explanation:

Givem that :

Population Standard deviation , σ = 16

Sample size, n =

Standard Error, S. E = 4

To obtain the standard Error, S. E, we use the relation :

S.E = σ / √n

4 = 16 / √n

√n * 4 = 16

Divide both sides by 4

(√n * 4) / 4 = 16 / 4

√n = 4

Square both sides

n = 4²

n = 16

Hence, Sample size = 16

Answer:

c. -13/4.

d. -13/3.

Step-by-step explanation:

c. f(3/2) = (1/2)(3/2) - 4

= 3 / 4 - 4

= 0.75 - 4

= -3.25

= -3 and 1/4

= -13/4.

d. f(-2/3) = (1/2)(-2/3) - 4

= -2/6 - 4

= -1/3 - 4

= -1/3 - 12/3

= -13/3.

Hope this helps!

Answer:

sin 1^2

sin 0,5

sin

nzmx

.xxmmxkd

DD

jxmz

xjx

d

d

d

d

d

d

d

Answer:

Step-by-step explanation:

5

Answer:

Step-by-step explanation:

Let the larger number = x

Smaller number = y

6x + 7y = 114 ------------(I)

10x - 9y = 66 ------------(II)

Multiply equation (I) by 9 and multiply the equation (II) by 7. After that add the two equations. So that, y will be eliminated and we can find the value of x

         (1)*9        54x + 63y = 1026

         (II)*7        70x - 63y  =  462    {Now add}

                        124x           = 1488   {Divide both sides by 124}

                                        x = 1488/124

x = 12

Plugin x =  12 in any of the equation. Here, We are substituting in  equation (I)

6*12 + 7y = 114

  72 + 7y =114

         7y = 114 - 72

         7y = 42

          y = 42/7

y = 6

The numbers are 12 , 6

The equations of the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

From the question, we have the following equations that can be used in our computation:

h(x) = x² + 3

f(x) = 3/4x

From the above, we have

(h o h)(x) = h(h(x))

So, we have

(h o h)(x) = (x² + 3)² + 3

Also, we have

(f o f)(x) = 3/[4(3/4x)]

Evaluate

(f o f)(x) = x

Hence, the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

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\((2x-1)(x+5)=2x^2+9x-5=0\).

The quadratic equation has a general form of

\(ax^2+bx+c=0\).

So your "b" is 9.

Hope this helps.

Answer:  Answer is in the steps

Step-by-step explanation:

(2x-1)(x+5) = 0    First expand the left side by apply the distributive property twice.

(2x -1)(x+5) =0  

x(2x -1) =  2x^2 -1x  

5(2x -1) =  10x -5  

Now rewrite them all together

2x^2 - 1x +10x -5  = 0   combine like terms on the left side.

\(2x^{2}\) + 9x -5 = 0      a is the first leading coefficient,b is the second leading coefficient, and  c is the constant.

So in this case, the value of b is 9.

y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We have to find the slope-intercept equation for a line that goes through the point (4,-3)--with a slope of -2

m=-2

Now let us find the y intercept

-3=-2(4)+b

-3=-8+b

-3+8=b

5=b

Hence, y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

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Answer:

More infomation.

Step-by-step explanation:

A' ∩ B ∩ C is region VI where B ∩ C but A is not included.

A Venn diagram can also be referred to as a set diagram or a logic diagram that illustrates various set operations including the intersection, union, and difference of sets. Subsets of a set are also represented using it. A subset of whole numbers, which is a subset of integers, is a collection of natural numbers, as an example.

Given:

The region I represent A.

and, The region III represent B

and, The region VII represent C.

and, the region show A∩B.

and, the region IV shows A ∩ C

and, the region VI shows B ∩ C

and, the region V shows A ∩ B ∩ C.

Now, we want a region where B and C should be intersected but not include region A (A').

So, the regions shows A' ∩ B ∩ C is region VI where B ∩ C but A is not included.

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Answer:

208 units

Step-by-step explanation:

The first term is given as 16, which means a = 16.

The second term can be obtained by adding the common difference to the first term: 16 + d = 48.

The third term is obtained by adding the common difference to the second term: 48 + d = 80.

The fourth term is obtained by adding the common difference to the third term: 80 + d = 112.

We can solve these equations to find the value of 'd':

16 + d = 48

d = 48 - 16

d = 32

48 + d = 80

32 + 48 = 80 (valid)

80 + d = 112

32 + 80 = 112 (valid)

Therefore, the common difference is 32.

Now that we have the common difference, we can find the distance the body falls in the seventh second.

The formula for finding the nth term of an arithmetic progression is:

a_n = a + (n - 1) * d

where a_n is the nth term, a is the first term, n is the position of the term, and d is the common difference.

Plugging in the values, we can find the seventh term:

a_7 = 16 + (7 - 1) * 32

a_7 = 16 + 6 * 32

a_7 = 16 + 192

a_7 = 208

Therefore, the distance the body falls in the seventh second is 208 units.

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer: -27

Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.

3, 9, -3, 3, -9, -3, -15, -9, -21, ?

We can start by looking at the differences between consecutive terms in the list:

9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12

Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:

-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21

Therefore, we predict that the most probable next number in the list is -27.

Answer:

1.92755 ,1.870320 i hope it will help you

Answer:

First bag's unit price=$1.92 per kg  Second bag's unit price=$1.87 per kg

Step-by-step explanation:

1.92 becomes 1.93

Answer:

2.4 seconds

Step-by-step explanation:

It is given that,

The time for one swing is proportional to the square root of the length of the string.

\(T\propto \sqrt{L}\)

or

\(\dfrac{T_1}{T_2}=\sqrt{\dfrac{L_1}{L_2}}\) ....(1)

We have,

L₁ = 64 cm, T₁ = 1.6 s, L₂ = 144 cm, T₂ = ?

Substitute all the values in formula (1).

\(T_2=\dfrac{T_1}{\sqrt{\dfrac{L_1}{L_2}}}\\\\T_2=\dfrac{1.6}{\sqrt{\dfrac{64}{144}}}\\\\T_2=2.4\ s\)

So, the new time period of the simple pendulum is 2.4 seconds.

Answer:

hxbcncncncncncn

Step-by-step explanation:

hhjncnnfnf

The surface area of a cylinder is 284m² and it's volume is 366.9m³

To find the surface area and volume of a cylinder, we need to know the radius (r) and height (h) of the cylinder. The formulas for the surface area (A) and volume (V) of a cylinder are as follows:

From the given question, the data are;

a. The surface area of the cylinder is;

SA = 2π(4)² + 2π(4)(7.3)

SA = 283.999≈284m²

b. The volume of the cylinder is

v = πr²h

v = π(4)²(7.3)

v = 366.9m³

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SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

a) The mean is 26. 57 miles per gallon

b) The median is 25 miles per gallon

c) The mode is 13 miles per gallon

d) Which measure of central tendency best represents the data?

The median

e) Explain:

The median is the best measurement when a data set contains several outliers or extreme values.

Answer:

x = 3

Step-by-step explanation:

A midsegment in a trapezoid is formed when one connects the midpoints of the two legs (non-parallel sides) in a trapezoid. The midsegment theorem states that the length of the midsegment is equal to the average of the two bases (that is the parallel sides).

One can apply the midsegment theorem here by stating the following;

\(\frac{(YZ)+(TM)}{2}=PW\)

Substitute,

\(\frac{23+11x+2}{2}=29\)

Simplify,

\(\frac{25+11x}{2}=29\)

Inverse operations,

\(\frac{25+11x}{2}=29\)

\(25+11x=58\\\\11x = 33\\\\x = 3\)

Answer:

OD:24

Step-by-step explanation:

3*3”2 = 27

-(4+3) = -7

8divided by 2= 4

27 + 4 -7=24

Answer:

23s - 7

Step-by-step explanation:

17s - 10 + 6s + 3

=23s - 7

Answer:

\(23s-7\)

Step-by-step explanation:

Given:

\(17s-10+3(2s+1)\)

Distribute the parenthesis

\(17s-10+6s+3\)

Combine like terms

\(23s-7\)

Hope this helps

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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