ederal Government Employee E-mail Use It has been reported that 88% of federal government employees use e-mail. If a sample of 210 federal government employees is selected, find the mean, variance, and standard deviation of the number who use e-mail. Round your answers to three decimal places.

The recursive formula that represents the value of account is a (n) = 1.0194 ;a (n-1); V (0) = 3.38.

Any term of a series can be defined by its preceding term in a recursive formula (s).

The general formula to find recursion is \(a_{n}= ra_{n-1}\) where r is the common ratio and n should ne grater than 2.

a (n) = 3.38. a (n-1);a (1) = 1.0194

a(n) = 3.38. a (n - 1);a (0) = 1.0194

a(n) = 1.0194. a (n-1);a (1) = 3.38

a (n) = 1.0194 .a (n-1); a (0) = 3.38

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To calculate seed number, divide the total number of inches available for crop by the in-row crop spacing. For example, 120 inches divided by one inch per pea seed equals 120 pea seeds.

In botany, a seed is an undeveloped plant embryo and food reserve encased in a protective outer covering. In a broader sense, "seed" refers to anything that can be sown, such as seed and husk or tuber.

Seeds are formed when a ripened ovule is fertilised by pollen-derived sperm, resulting in a zygote. The embryo develops from the zygote within a seed, forming a seed coat around the ovule and growing to a certain size within the mother plant before growth stops.

The formation of seeds is a stage in the reproduction of seed plants (spermatophytes). Other plants, such as ferns, mosses, and liverworts, lack seeds and must reproduce exclusively through water.

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The correct answer is E. None of the above. The term "mutually exclusive events" refers to events that cannot occur simultaneously. In other words, if one event happens, the other event cannot happen at the same time.

Option A, "Contain all sample points," does not accurately describe mutually exclusive events. Mutually exclusive events do not need to include all possible sample points.

Option B, "Contain all common sample points," is also incorrect. Mutually exclusive events do not share any common sample points.

Option C, "Does not contain any sample point," is not true for mutually exclusive events. Mutually exclusive events can still have sample points, but those sample points cannot be shared between the events.

Option D, "Does not contain any common sample point," is also incorrect. While mutually exclusive events do not have any common sample points, this option does not accurately capture the concept of mutually exclusive events.

Therefore, the correct answer is E. None of the above.

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Mutually Exclusive events are- A. Contain all sample points B. Contain all common sample points C. Does not contain any sample point D. Does not contain any common sample point E. None of the above

Which of the following is the correct option?

Answer:

55

Step-by-step explanation:

x - 9 = 1/2(x + 37) according to inscribed angles theorem

2x - 18 = x + 37

x = 55

The difference between the length of one side of the larger cube and the length of one side of the smaller cube is 3cm.

It should be noted that the volume of the larger cube is 125 inches³. Therefore, the length of the side will be:

= 3✓125

= 5 inches

The volume of the smaller cube is 8 inches. Therefore, the length will be the cube root of 8 inches and this will be 2 inches.

Therefore, the difference between the length of one side of the larger cube and the length of one side of the smaller cube will be:

= 5cm - 2cm

= 3cm.

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Answer:

B=30,000

Y=The Plane's altitude

M= -2,000

X= Minutes

Equation: y=-2,000x+30,000

Slope= ?

Y-intercept= the point where you start at

what is the altitude after 10 minutes?=10,000

How Long does it take to get to 0 altitudes?=15 (Minutes)

Step-by-step explanation:

What are the choices for slope

Answer:

12n + 4y + 2

Step-by-step explanation:

6n+6n

7y-3y

5-3

apologies if this is incorrect :)

Answer:

2.38 yds^3

Step-by-step explanation:

Volume of a box = width x length x height

Now we multiply!!

? = 1 x 1.7 x 1.4

1 x 1.7 x 1.4 = 2.38

Have an amazing day!!

Please rate and mark brainliest!!

\( \huge\fbox\orange{ANSWER} \)

\( \mathsf \purple{v = l \times w \times h}\)

\( \mathsf \pink{v = 1.7 \times 1 \times 1.4}\)

\( \mathsf \purple{v = 2.38 {yd}^{3} }\)

2.38 cubic yards

Adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.

The terms adjacent, neighboring, contiguous, and juxtaposed all denote being close by. Although adjacent might indicate a touch or not, it is usually assumed that there is nothing of the same sort in between. a home with a garage close by. Adjoining clearly means coming together and touching at a certain location or line.

When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to a stop. When adjacent angles have the same vertex and side, they might be a complimentary angle or supplemental angle.

Thus, adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.

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Answer:

The answer should be 1/6 or 1/3

Step-by-step explanation:

1/9 is the probability of roiling the two dice with a sum of 9

It is a branch of mathematics that deals with the occurrence of a random event.

An experiment consists of rolling two fair number cubes.

We need to find the probability of roiling the two dice with a sum of 9

The sample space of rolling two dice is given from the figure.

Among that (3,6), (6,3), (4, 5) and (5,6) makes a sum of nine.

In the total of 36 outputs there are only 4 outputs which has sum of 9.

So the probability of roiling the two dice with a sum of 9 is 4/36

Four divided by thirty six is equal to 1/9

Hence, 1/9 is the probability of roiling the two dice with a sum of 9

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Answer:

Step-by-step explanation:

\(f(x)=\frac{u}{v} ,u~ and~ v~ functions~ of~ x\\f'(x)=\frac{v ~u'-u~v' }{v^2} \\f(x)=\frac{x^4}{x^2-4} \\f'(x)=\frac{(x^2-4)*4x^3-x^4(2x)}{(x^2-4)^2} \\=\frac{2x^3(2x^2-8-x^2) }{(x^2-4)^2} \\=\frac{2x^3(x^2-8)}{(x^2-4)^2}\)

Answer 1:

7x-16xy-2

Answer 2:

4bc-5

Answer 3:

7-3x+y

3x+10

-2x²y

*Remove the parentheses for addition or subtraction*

\(7x-\left(4xy+12xy\right)-2\)

*Determine the sign*

\(7x-4xy-12xy-2\)

*Reorder and gather like terms*

\(7x+\left(-4xy-12xy\right)-2\)

*Collect coefficients of like terms*

\(7x+\left(-4-12\right)\timesxy-2\)

*Calculate the sum or difference*

\(7x-16xy-2\)

*Simplify or expand*

\(5bc-\left(5+bc\right)\)

*Remove the parentheses for addition or subtraction*

\(5bc-5-bc\)

*Reorder and gather like terms*

\(\left(5bc-bc\right)-5\)

*Collect coefficients of like terms*

\(\left(5-1\right)\) \(\times\) \(bc-5\)

*Collect the sum or difference*

\(4bc-5\)

*Simplify or expand*

\(7+(2x-5x)+y\)

*Determine the sign*

\(7+2x-5x+y\)

*Reorder and gather like terms*

\(7+\left(2x-5x\right)+y\)

*Collect coefficients of like terms*

\(7+\left(2-5\right)\timesx\) \(\times\) \(x+y\)

*Calculate the sum or difference*

\(7-3x+y\)

*Simplify or expand*

\(6x+10+(3x-6x)\)

*Determine the sign*

\(6x+10+3x-6x\)

*Reorder and gather like terms*

\((6x+3x-6x)+10\)

*Collect coefficients of like terms*

\((6+3-6)\) × \(x+10\)

*Apply the Inverse Property of Addition*

\(3x+10\)

*Simplify or expand*

\(3x^{2} y-5x^{2} y\)

*Collect coefficients of like terms*

\((3-5)x^{2} y\)

*Calculate the sum or difference*

\(-2x^{2} y\)

Step-by-step explanation:

-2x+3=x+12

combin like terms

-2x-x=12-3

-3x=9

x=9/-3

x=-3

Answer:X=-3

Step-by-step explanation:

The required expression is

(4/3)π(7)³

What is volume?

In three-dimensional space, volume is the area occupied by an object within its borders. Another name for it is an object's capacity.

We are given to select the correct expression that gives the volume of a sphere with a radius of 7 units.

We know that,

the VOLUME of a sphere with radius 'r' units is given by

V=(4/3)πr³

Here, the radius of the given sphere is

r = 7 units.

Therefore, the volume of the sphere will be

V=(4/3)π(7)³

Thus, the required expression is

(4/3)π(7)³

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Formula of parabola for given values is F(x) = 7.5(x^2-15.7x+61.32)

The general equation of a parabola in math is: y = a(x-h)^2 + k ,where (h,k) denotes the vertex. The standard equation of a the parabola is y^2 = 4ax.

We have, horizontal intercepts x=8.4 and x=7.3, passes through point(0, 8.2)

As we parabola is quadratic function,

f(x) = a(x-8.4)(x-7.3)

It is passing through the point (0, 8.2)

8.2 = a(-8.4)(-7.3)

a = 8.2/61.32 =7.5 (approx)

Now, equation of parabola is

F(x) = 7.5(x-8.4)(x-7.3)

f(x) = 7.5(x^2-7.3x-8.4x+61.32)

F(x) = 7.5(x^2-15.7x+61.32)

Thus, required equation of parabola is F(x) = 7.5(x^2-15.7x+61.32).

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Answer:

Smallest

Vertical  deviations

Step-by-step explanation:

Answer:

A. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-cherry, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lollipop, lollipop-lemon

Step-by-step explanation:

From the above question, we are told that both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop

There are two events here's

2 people = Fred and Ed

3 bags of different sweets = Lemon Cherry and Lollipop

The number of ways that both of them can eat this singly is calculated using combination formula

C(n, r) = nCr = n!/r! (n - r)!

n = 3, r = 2 = 3C2 = 3!/2! (3 - 2)!

= 3 × 2 × 1/2 × 1

= 3

We were asked to find the possible pairs

Hence = 3² = 9

There are 9 possible pairs through which Fred and Ed can eat their sweets and they are:

1) Lemon - Lemon

2) Cherry - Cherry

3) Lollipop - Lollipop

4) Lemon - Cherry

5) Cherry - Lemon

6) Lollipop - Cherry

7) Cherry - Lollipop

8) Lollipop - Lemon

9) Lemon - Lollipop.

Therefore, Option A is the correct option

Answer:

LEMONS BURN YOUR HOUSE DOWN JK its this A. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-cherry, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lollipop, lollipop-lemon

Step-by-step explanation:

From the above question, we are told that both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop

There are two events here's

2 people = Fred and Ed

3 bags of different sweets = Lemon Cherry and Lollipop

The number of ways that both of them can eat this singly is calculated using combination formula

C(n, r) = nCr = n!/r! (n - r)!

n = 3, r = 2 = 3C2 = 3!/2! (3 - 2)!

= 3 × 2 × 1/2 × 1

= 3

We were asked to find the possible pairs

Hence = 3² = 9

There are 9 possible pairs through which Fred and Ed can eat their sweets and they are:

1) Lemon - Lemon

2) Cherry - Cherry

3) Lollipop - Lollipop

4) Lemon - Cherry

5) Cherry - Lemon

6) Lollipop - Cherry

7) Cherry - Lollipop

8) Lollipop - Lemon

9) Lemon - Lollipop.

Therefore, Option A is the correct option

(b) An equilateral triangle has 3-fold rotational symmetry, while (d) A cube has 4-fold rotational symmetry.

Rotational symmetry refers to the property of an object where it looks the same after it has been rotated a certain number of degrees around a central point. The number of times an object looks the same after a full rotation is called its order of rotational symmetry.
(a) An isosceles triangle has no rotational symmetry because it will not look the same after any degree of rotation around its center.

An isosceles triangle has no rotational symmetry. This is because it will not look the same after any degree of rotation around its center. For example, if you rotate an isosceles triangle by 180 degrees, it will be upside down and look completely different.
An equilateral triangle has 3-fold rotational symmetry. This means that it will look the same after being rotated 120 degrees and 240 degrees around its center. To see this, imagine drawing an equilateral triangle and marking its center. If you rotate the triangle 120 degrees around the center, each vertex will be in the same position as before, and the triangle will look the same. Similarly, if you rotate it 240 degrees, it will look the same as the original triangle.

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If the cost of advertising was $100,000 and the reach or circulation was 10,000,000 people, then the CPM is $10.

Cost per thousand (CPM), which is also called cost per mille, is a marketing word used to denote the price of 1,000 advertisement prints on one web page. If a publisher of a website charges $2.00 CPM, that means an advertiser must pay $2.00 for every 1,000 prints of its ad.

The CPM is calculated by dividing the cost of the advertisement by the number of people reached and then multiplying by 1000.

Given that the cost of advertising was $100,000 and the reach was 10,000,000 people, the CPM can be calculated as follows:

CPM = ($100,000 / 10,000,000) × 1000 = $10.

So, the CPM is $10.

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Carpetland not $8,000 in step with week in earnings. Vice President, proposes a plan with new selling incentives with the want that the plan will increase the not earnings in step with earnings are more than $8,000 in step with week.

It implies, The null hypothesis, H: μ≤$8,000 in step with week. The possibility hypothesis, H: μ>$8,000 in step with week where μ is the whole not unusual place earnings in step with week.

Type II mistakes is defined due to the fact the opportunity of now now not rejecting the false-null hypothesis i.e. now now not rejecting the null whilst it is false. Therefore, if we do now now not reject that the not earnings are a great deal much less than or same to $8000 (and end that the not unusualplace earnings may be a great deal much less than same to $8000) whilst in fact it is more than $8000 then we are growing a type II mistakes.

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Consecutive terms in the α sequence have a common difference of

8 - 10 = 6 - 8 = 4 - 6 = … = -2

so they are given recursively by

\(\begin{cases} \alpha_1 = 10 \\ \alpha_n = \alpha_{n-1} - 2 & \text{for } n\ge2 \end{cases}\)

By substitution, we have

\(\alpha_n = \alpha_{n-1} - 2 \\\\ \alpha_n = \alpha_{n-2} - 2\cdot2 \\\\ \alpha_n = \alpha_{n-3} - 3\cdot2 \\\\ \vdots \\\\ \alpha_n = \alpha_{n-(n-1)} - (n-1)\cdot 2 = \alpha_1 - 2(n-1) = 12-2n\)

Consecutive terms in the β sequence have a common ratio of

6/9 = 4/6 = (8/3)/4 = … = 2/3

so the recurrence for these terms is

\(\begin{cases} \beta_1 = 9 \\\\ \beta_n = \frac23 \beta_{n-1} & \text{for } n\ge2 \end{cases}\)

We can solve for \(\beta_n\) similarly:

\(\beta_n = \dfrac23 \beta_{n-1} \\\\ \beta_n = \left(\dfrac23\right)^2 \beta_{n-2} \\\\ \beta_n = \left(\dfrac23\right)^3 \beta_{n-3} \\\\ \vdots \\\\ \beta_n = \left(\dfrac23\right)^{n-1} \beta_{n-(n-1)} = \left(\dfrac23\right)^{n-1} \beta_1 = \dfrac{2^{n-1}}{3^{n-1}} \cdot 3^2 = \dfrac{2^{n-1}}{3^{n-3}}\)

The γ sequence has \(n\)-th term

\(\gamma_n = \alpha_n \beta_n = (12-2n) \dfrac{2^{n-1}}{3^{n-3}} = (108-18n) \left(\dfrac23\right)^{n-1}\)

and we want to compute

\(\displaystyle \sum_{n=1}^\infty \gamma_n = 108 \sum_{n=1}^\infty \left(\frac23\right)^{n-1} - 18 \sum_{n=1}^\infty n \left(\frac23\right)^{n-1}\)

Recall the sum of an infinite geometric series with common ratio \(|r|<1\) converges to

\(\displaystyle \sum_{n=1}^\infty r^{n-1} = \frac1{1-r}\)

so that

\(\displaystyle \sum_{n=1}^\infty \left(\frac23\right)^{n-1} = \frac1{1-\frac23} = 3\)

For the remaining sum, we can use the method shown in question [24494877] to compute

\(\displaystyle \sum_{n=1}^\infty nr^{n-1} = \frac1{(1-r)^2}\)

which gives

\(\displaystyle \sum_{n=1}^\infty n \left(\frac23\right)^{n-1} = \frac1{\left(1-\frac23\right)^2} = 9\)

Then the infinite sum of the terms of γ converges to

\(\displaystyle \sum_{n=1}^\infty \gamma_n = 108 \cdot 3 - 18 \cdot 9 = \boxed{162}\)

This question requires the understanding of trigonometric identities. I'll list the ones that are needed to answer this question:

cotθ = 1 / tanθ

tanθ = sinθ / cosθ

Look at the latter identity. We can rewrite it as such:

tanθ * cosθ = sinθ

We are given the expression:

cosθ * tan²θ * cotθ

Referring to the first trigonometric identity above, substitute cotθ:

cosθ * tan²θ * (1 / tanθ)

Multiply tan²θ and the fraction:

cosθ * (tan²θ / tanθ)

cosθ * tanθ

Refer to the second trigonometric identity:

cosθ * tanθ

sinθ

cosθ * tan²θ * cotθ = sinθ

If you have any questions about how I got to the answer, feel free to ask

- breezyツ

Answer:

Unique Solution.

No Solution.

Infinitely Many Solutions.

To find the distance, all you have to do is subtract -5 from 2

Therefore:

You can also calculate the distance using this line:

The early finish time for activity t is unknown and needs to be determined.  It cannot be determined from the given information as only the early finish times for activities l, m, and p are given.

To determine the early finish time for activity t, the following steps should be taken:

1. Review the activities that are related to activity t and note their durations.

2. Identify the activities that must be completed before activity t can begin.

3. Calculate the early start time for activity t by adding the duration of all preceding activities.

4. Calculate the early finish time for activity t by adding the early start time and the duration of activity t.

5. Compare the early finish times of activities l, m, and p to the early finish time of activity t.

6. If the early finish time for activity t is greater than any of the other activities, then activity t is the critical activity.

7. If the early finish time for activity t is less than any of the other activities, then activity t is not the critical activity.

8. If the early finish time for activity t is equal to any of the other activities, then activity t could be the critical activity and further investigation is required.

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The slope field shown in the question is that of a differential equation of the form y'= f(x,y).

The solutions of this equation are the curves in the slope field that emanate from each point and that have the same slope as the line at that point. Thus, for each point (x,y) in the slope field, it is possible to calculate the particular solution that passes through that point.

The first statement is false because it involves the second derivative of the particular solution, which cannot be determined from the slope field. The second statement is false because a concave up graph requires that the derivative of the solution be increasing at x=0, but the slope field does not indicate the sign of the derivative of the particular solution. The third statement is false because a concave up graph requires that the derivative of the solution be decreasing at x=-1, which cannot be determined from the slope field. The fourth statement is false because a concave down graph requires that the derivative of the solution be increasing at x=0, which cannot be determined from the slope field.

In summary, none of the statements can be determined to be true or false from the slope field shown.

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Answer:

A system of equations are two or more equations that has to be valid at the same time. It means that the variables of one equation can be substitute in the other equation.

For example we have y=5x−8 and we can substitute this value of y in the other equation

4x+3y=33

4x+3(5x−8)=33 we can solve now for x

4x+15x−24=33

19x=33+24

19x=57

x=5719=3.

y can be obtained from the first equation

y=5x−8

y=5⋅3−8=15−8=7

Then x=3 and y=7.

Step-by-step explanation:

Answer:

x = 3

y = 7

Step-by-step explanation:

y = 5x - 8  ---------------(I)

4x + 3y = 33 ------------(II)

Substitute y = 5x - 8 in equation (II)

4x + 3 (5x - 8) = 33  

4x + 3*5x - 8*3 = 33

4x + 15x - 24 = 33           {Combine like terms}

      19x  - 24 = 33            {Add 24 to both sides}

            19x = 33 + 24

           19x = 57           {Divide both sides by 19}

             x = 57/19

x = 3

Substitute x = 3 in equation (I)

y = 5*3 - 8

y = 15 - 8

y = 7

Answer:

Step-by-step explanation:

Sum means addition basicaly adding two or more numbers together

Product is when you multiply or times numbers together

First, replace f(x) with y

Replace every x with a y and replace every y with an x .

Solve the equation from Step 2 for y

Replace y with f−1(x) f − 1 ( x )

Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.

Answer:

\(\bold{x=\dfrac{-3\pm i\sqrt{7}}{2}}\)

Step-by-step explanation:

Given quadratic equation is:

\(-x^2 - 3x = 4\)

Rewriting the given equation:

\(-x^2 - 3x - 4 = 0\)

OR

\(x^2 + 3x + 4=0\)

Solution of a quadratic equation represented as \(ax^2+bx+c=0\) is given as:

\(x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)

Comparing the given equation with standard equation:

a = 1

b = 3

c = 4

So, the roots are:

\(x=\dfrac{-3\pm\sqrt{3^2-4\times 1 \times 4}}{2\times 1}\\\Rightarrow x=\dfrac{-3\pm\sqrt{9-16}}{2}\\\Rightarrow x=\dfrac{-3\pm\sqrt{-7}}{2}\)

\(\sqrt{-7 }\) can be written as \(7\sqrt{-1}\)

and \(\sqrt{-1} = i\)

So, \(\sqrt{-7} = i\sqrt7\)

The numbers containing \(i\) in them, are called as complex numbers.

Therefore, the roots of the equation can be written as:

\(\Rightarrow \bold{x=\dfrac{-3\pm i\sqrt{7}}{2}}\)