WILL GIVE BRAINLIEST!!!
Warning: If you do not meet the requirements which I have listed below, I will report you.
1. Give the right answer
2. Do not say, "I don't think any of them work"
3. GIve a clear and concise explanation (no skipping steps)
4. Explain what you are doing and why you are doing it.
(Attached below is a photo of the equation)

WILL GIVE BRAINLIEST!!!Warning: If You Do Not Meet The Requirements Which I Have Listed Below, I Will

Answers

Answer 1

Without using general formula we will solve it in bit lengthy manner

For first half

Time=Distance/Speed

340/2721.25h

For second half

Time

1000/(228+272)1000/5002h

So

Average speed

Total distance/Total time(1000+340)/(2+1.25)1340/3.25412.3km/h

Option C

Answer 2

The answer is 412.3 km/h.

The formula to find average velocity is :

[tex]\boxed {V_{avg} = \frac{d_{1}+d_{2}}{t_{1}+t_{2}}}[/tex]

Let's find t₁ and t₂.

t₁ (from London to Paris) : 340/272 = 85/68 = 5/4 hourst₂ (from Paris to Barcelona) : 1000/500 = 2 hours

Now, let's substitute in the formula to get the answer.

v (avg) = [(1000 + 340) / (5/4 + 2)]v (avg) = 1340/ (13/4)v (avg) = 5360/13v (avg) = 412.3 km/h

Related Questions

Put the events in order of what is most likely to happen, to least likely to happen. If you were to win a million dollars for winning one of these events, which would you pick to play? Use probability to explain your answers.

Winning the Lottery: If the six numbers on the lottery ticket match the six numbers drawn, then you win. The numbers can range from 1-49.
Rolling a 7: Roll two dice numbered 1-6 then add the numbers that are face up to get 7.
Drawing the Ace of Spades: In a deck of 52 cards, what is the likelihood of drawing the Ace of Spades in one try.
2 Heads in a Row: Using a coin with a heads-side and tails-side, what is the likelihood of flipping a heads twice in a row?
Marbles: You have a bag with 3 red marbles, 4 blue marbles, and 5 green marbles. What is the probability of pulling out a red marble 3 times in a row, assuming you put each marble back into the bag before drawing another?

Answers

The order of the probabilities from the highest to the least would be

4 > 2 > 3 > 5 >1. This tells us tgat the highest probability is number 4 while the lowest is 1.

What is probability?

In mathematics, this is the concept that is used to talk about the likelihood of having an event occurring.

The probability of these items have been calculated below

1. Winning the Lottery

probability = 1/49P6

= 0.00000000009932

2. Rolling a 7:

we have to find the group of 7's

= (2,5) (1,6), (3,4), (4, 3), (6,1), (5,2)

= 6/36 = 0.1666

3. Drawing the Ace of Spade

1/52 = 0.019

4. 2 Heads in a Row:

1/2 x 1/2

= 0.25

5. Marbles:

3 + 4+ 5 = 12

3/12 * 3/12 * 3/12

= 0.01562

Hence the order of the probabilities from the highest to the least would be

4 > 2 > 3 > 5 >1

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QUESTION IS DOW BELOW 5 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP

Answers

a. Central angle in the circle is: Angle BAC

b. A major arc is: Arc BEC

c. A minor arc is: Arc BC

d. m(arc BEC) = 260°.

e. m(arc BC) = 100°.

What is the Central Angle Theorem?

The central angle theorem states that: the central angle measure of a circle equals the measure of the intercepted arc.

What is a Central Angle?

A central angle is formed by two radii of a circle, and the vertex of the angle is at the center of the circle.

What is a Major Arc?

Any arc that is more than half a circle (semicircle) or has a measure that is greater than 180 degrees, is referred to as a major arc of that circle. The measure of the major arc > 180 degrees.

What is a Minor Arc?

Any arc that is not more than half a circle (semicircle) or has a measure that is less than 180 degrees, is referred to as a minor arc of that circle. The measure of the minor arc < 180 degrees.

a. One central angle that can be identified in circle A is: Angle BAC

b. A major arc that can be identified in circle A is: Arc BEC

c. A minor arc that can be identified in circle A is: Arc BC.

d. According to the central angle theorem, we have:

m(arc BEC) = 360 - 100

m(arc BEC) = 260°

e. We are given that m(angle BAC) = 100°, therefore, according to the central angle theorem, we have:

m(arc BC) = m(angle BAC )

m(arc BC) = 100°

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lim
n->infinity 4n^3-5/9n^3+7

Answers

Answer:

[tex]\lim_{n\rightarrow +\infty } \frac{4n^{3}-5}{9n^{3}+7}=\frac{4}{9}[/tex]

Step-by-step explanation:

[tex]\lim_{n\rightarrow +\infty } \frac{4n^{3}-5}{9n^{3}+7}[/tex]

Pull out  n³

[tex]=\lim_{n\rightarrow +\infty } \frac{n^{3}\times \left( 4-\frac{5}{n^3} \right) }{n^{3}\times \left( 9+\frac{7}{n^3} \right) }[/tex]

Simplify by n³

[tex]=\lim_{n\rightarrow +\infty } \frac{ \left( 4-\frac{5}{n^3} \right) }{ \left( 9+\frac{7}{n^3} \right) }[/tex]

Remark : [tex]\lim_{n\rightarrow +\infty } \frac{5}{n^3} \right) } = 0 \ \. \text{and} \ \ \lim_{n\rightarrow +\infty } \frac{7}{n^3} \right) } = 0[/tex]

Then

[tex]\lim_{n\rightarrow +\infty } \frac{ \left( 4-\frac{5}{n^3} \right) }{ \left( 9+\frac{7}{n^3} \right) }=\frac{4-0}{9+0}[/tex]

[tex]=\frac{4}{9}[/tex]

3y+4z = -37
2x + 4y - 3z= 127
4y = 52

Answers

Answer:

x  = 9, y = 13 , z = - 19

Step-by-step explanation:

3y + 4z = - 37 → (1)

2x + 4y - 3z = 127 → (2)

4y = 52 → (3)

divide both sides by 4 in (3)

y = 13

substitute y = 13 into (2) and solve for z

3(13) + 4z = - 37

39 + 4z = - 37 ( subtract 39 from both sides )

4z = - - 76 ( divide both sides by 4 )

z = - 19

substitute y = 13 and z = - 19 into (2) and solve for x

2x + 4(13) - 3(- 19) = 127

2x + 52 + 57 = 127

2x + 109 = 127 ( subtract 109 from both sides )

2x = 18 ( divide both sides by 2 )

x = 9

solution is x = 9, y = 13 , z = - 19

What is the ratio of my lawn if it is 4 meters by 4.5 meters

Answers

Answer:

The 1:n ratio is= 1 : 1.125

The n:1 ratio is= 8/9 : 1

Just the simple ratio is= 4 : 4.5

A recursive rule for an arithmetic sequence is a1=4;an=an−1−3.

What is the explicit rule for this sequence?



Enter the simplified answer in the box.

an=

I NEED HELP ASAP

Answers

The explicit rule for this sequence is [tex]a_{n} =7-3n[/tex].

What is the arithmetic sequence?"Arithmetic means" refers to repeatedly adding a fixed number to produce a series. Let n be "the number." Because the numbers in the sequence are becoming progressively negative, we might conclude that n is negative.We can locate a particular term in an arithmetic series using the method for locating the nth term. An arithmetic sequence's nth term is determined by the formula a = a + (n - 1)d. Therefore, enter the values a = 2 and d = 3 into the formula to determine the nth term.The Arithmetic Mean or Mean of the Group is the sum of all the numbers in a group divided by the total number of items in the list. For instance, since 5 + 7 + 9 = 21 and 21 divided by 3 [there are three numbers] is 7, the mean of the digits 5, 7, and 9 is 4.The difference between each succeeding pair of terms in an arithmetic series is always the same. The following is the explicit guideline for formulating any arithmetic sequence: a = a1 + d (n - 1)

The explicit rule for this sequence:

The obvious rule for an arithmetic sequence is given as follows:

[tex]a_{n}=a_{1} +(n-1)d[/tex]

The first term = [tex]a_{1}[/tex].

The number of terms = n.

The common difference for two consecutive terms = d.

A recursive rule for an arithmetic sequence: [tex]a_{1} =4[/tex].

[tex]a_{n} =a_{n-1}-3[/tex]

The arithmetic sequence is given by:

[tex]a_{n} =a_{n-1}+d[/tex]

We get: d = -3

Substitute the given values:

[tex]a_{n} =4+(n-1)(-3)[/tex]

[tex]a_{n} =4-3n+3[/tex]

=7-3n

The explicit rule for this sequence is [tex]a_{n} =7-3n[/tex].

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The explicit rule for the given arithmetic sequence is [tex]a_n=7-3n[/tex].

What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. This difference is known as the common difference of the arithmetic sequence.For example, [tex]2,5,8,11,...[/tex] is an arithmetic sequence with the first term [tex]a=2[/tex] and the common difference [tex]d=3[/tex].The formula for the nth term [tex]a_n[/tex] of an arithmetic sequence whose first term is [tex]a[/tex] and the common difference is [tex]d[/tex] can be given by [tex]a_n=a+(n-1)d[/tex].

Given the recursive formula for an arithmetic sequence: [tex]a_1=4, a_n=a_{n-1}-3[/tex].

Thus, the first term of the arithmetic sequence is [tex]a=a_1=4[/tex]. using the recursive formula, we can get the 2nd term by putting [tex]n=2[/tex], [tex]a_2=a_1-3=4-3=1[/tex].

So, the common difference of the given arithmetic sequence is [tex]d=a_2-a_1=1-4=-3[/tex].

Thus, the nth term of the arithmetic sequence is given by [tex]a_n=a+(n-1)d\\\Longrightarrow a_n=4+(n-1)\times(-3)\\\Longrightarrow a_n=7-3n[/tex]

Therefore, the explicit rule for the given arithmetic sequence is [tex]a_n=7-3n[/tex].

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What index of m will equal to 1/m^2 ?

Answers

Answer:

index of m is -2

Step-by-step explanation:

any number or letter to the negatIve power(index) is the same as 1 divided by that number or letter to the positive index.

for example, 10^-2 = 1/10^2 and X^-4 is the same as 1/X^4.

Find the coordinates of the image point for S(−11, 2) across y = 1.

Answers

Answer:

(11,0)

Step-by-step explanation:

just for fun cuz I've heard of different answers.. what's:

6÷2(1+2) = ??​

Answers

Answer:9

Step-by-step explanation:1+2=3 6/2=3

3x3=9

Find the derivative f(x)=[(3x^2-2)/(2x+3)]^3

Answers

[tex]f(x)=\left( \cfrac{3x^2-2}{2x+3} \right)^3\implies \cfrac{df}{dx}=\stackrel{\textit{\LARGE chain~ ~~ rule}}{3\left( \cfrac{3x^2-2}{2x+3} \right)^2\underset{quotient~rule}{\left( \cfrac{6x(2x+3)~~ - ~~(3x^2-2)2}{(2x+3)^2} \right)}} \\\\\\ \cfrac{df}{dx}=3\left( \cfrac{3x^2-2}{2x+3} \right)^2\left( \cfrac{12x^2+18x-6x^2+4}{(2x+3)^2} \right) \\\\\\ \cfrac{df}{dx}=3\left( \cfrac{3x^2-2}{2x+3} \right)^2\left( \cfrac{6x^2+18x+4}{(2x+3)^2} \right)[/tex]

[tex]\cfrac{df}{dx}=3 \cfrac{(3x^2-2)^2}{(2x+3)^2} \left( \cfrac{2(3x^2+9x+2)}{(2x+3)^2} \right)\implies \cfrac{df}{dx}=\cfrac{6(3x^2-2)^2(3x^2+9x+2)}{(2x+3)^4}[/tex]

now, we could expand the polynomials, but there isn't much simplification, so no much point doing so.

could anyone help me solve this?

Answers

Step-by-step explanation:

The body reverses direction whenever we go from Positve velocity to negative velocity or vice versa.

So here it is (2,7) exclusive then (7,10) exclusive.

A constant speed means a slope of 0. Here it is (3,6).

c. Since speed is non negative, we would reflect any part of the velocity function that is below the time.axis about the time axis

So we would get

Above is the function, don't worry bout the math part.

D. Knowing that acceleration is the derivative of velocity with respect to time, the derivative of any linear function is the slope of that linear function. So if we find the slope of different paths, we will get a constant and then we can graph it

We must use the original graph because acceleration is a vector meaning it can be negative.

We would get

the second graph is acceleration vs time

In a mathematics class, 24 students received an A on the third test, which is 150% of the students who received an A on the second test. How many students received an A on the second test

Answers

Answer: 16

Step-by-step explanation:

1.5x = 24

24/1.5 = 16 students.

Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900. The following table shows the number of sales each salesman had during the first three weeks of this month.

Answers

Based on the amount that both Salesmen A and B earn per sale, the number of sales they both had was 12 sales.

How many sales did Salesmen A and B have?

Sales commission is a key aspect of sales compensation. It's the amount of money a salesperson earns based on the number of sales they have been able to make.

We are told that;

Salesman A gets $65 per sale.

Salesman B gets $300 and $40 per sale.

Assuming the number of sales to take them both to the same amount is x, the relevant formulas would be:

65x = 300 + 40x

Rearranging gives;

65x - 40x = 300

25x = 300

x = 300/25

x = 12 sales

The amount that salesman A earned is = 65 * 12 = $780

The amount that salesman B earned is = 300 + (40 * 12) = $780

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23. What would be the location of the vertex (3, 4) if it were reflected across
the y-axis?
A. (3,-4)
B. (-3, 4)
C. (4, -3)
D. (-4, 3)

Answers

The answer is B. (-3,4) as it is being flipped across the y-axis, so only the y-coordinate is being changed.

I hope that this helps! :)
Answer is B. ( -3, 4)
Reason

The rule for a reflection over the y -axis is (x,y)→(−x,y) . So from x to -x (-3) and y stays the same (4)

A SINGLE CARD IS DRAWN AT RANDOM FROM A STANDARD DECK OF 52 CARDS. FIND THE PROBABILITY OF DRAWING THE FOLLOWING CARDS. PLEASE REDUCE TO LOWEST TERMS.
A) A DIAMOND OR A 5 __________
B) A HEART AND A JACK __________
C) A JACK OR AN 8 __________
D) A HEART OR A SPADE __________
E) A RED AND FACE CARD __________
F) A RED CARD OR A QUEEN __________

Answers

Answer:

A. [tex]\frac{17}{52}[/tex]

B. [tex]\frac{17}{52}[/tex]

C. [tex]\frac{2}{13}[/tex]

Step-by-step explanation:

A.

There are 52/4 diamonds in the deck and 4 '5's in the dech of cards

52/4 = 13 + 4 = 17

Therefore, you have a  [tex]\frac{17}{52}[/tex] chance of drawing one of those cards.

B.

There are 13 hearts in the deck and 4 jacks. Therefore, your odds are the same : [tex]\frac{17}{52}[/tex]

C.

There are 4 jacks in a deck of cards and 4 '8's in a deck of cards

Therefore your probability is [tex]\frac{8}{52}[/tex] which simplifies to [tex]=\frac{2}{13}[/tex]

As per brainly guidelines I can only answer 3 questions in one answer

A) 13/52 + 4/52 - 1/52 = 16/52 = 4/13
B) 1/52
C) 4/52 + 4/52 = 8/52 = 2/13
D) 13/52 + 13/52 = 26/52 = 1/2
E) 6/52 = 3/26
F) 26/52 + 4/52 - 1/52 = 29/52

What is the standard form equation of an ellipse that has vertices (−2,−18) and (−2,8) and foci (−2,−14) and (−2,4)?

Answers

Answer:

Hello,

Step-by-step explanation:

All is in the picture.

B=(-2,8), O=(-2,-5)

b=BO=8+5=13

F_1=(-2,4)   O=(-2,5)  Focus distance=4+5=9
Horizontal half axis=√(b²-f²)=√88

The next two terms of 2;6;18;54

Answers

Hello there! The next two terms in this arithmetic sequence are 162 and 486.

This set of terms has a rule that for each corresponding number, we multiply by 3.

2 x 3 = 6

6 x 3 = 18

18 x 3 = 54

By following this rule, we can multiply our last used number by 3 to get what our next term is.

54 x 3 = 162

Our terms now look like this:

2; 6; 18; 54; 162

Again, we multiply the last used number.

162 x 3 = 486

Now our set looks like this:

2; 6; 18; 54; 162; 486

By multiplying each corresponding term by 3, we have identified the rule and the next two terms in our set.

The next two terms of 2; 6; 18; 54 are 162 and 486. If you need any extra help, let me know and I will gladly assist you.

What insult is meat shield I never understood it if someone calls a person a meat shield what does the insult mean

Answers

Answer: someone who is viewed as obsolete or a person you can use to save yourself from any problem/situation

Step-by-step explanation:

Answer:

The term "meat shield" is often used as an insult to refer to someone who is used by others as a protective barrier, especially in a dangerous or violent situation. The implication is that the person being referred to is expendable and not valued for their own merits or abilities.

Here are a few examples of insults that use the term "meat shield":

"You're nothing more than a meat shield for your boss."

"You're just a disposable meat shield to your friends."

"You're nothing but a human meat shield to your team."

"You're just a weak and pitiful meat shield."

"You're just a coward who hides behind others like a meat shield."

Again, it's important to remember that using insults is never a productive or kind way to communicate with others. It's always better to try to address the issue in a respectful and constructive manner.

17. What is the probability that the student will play football and baseball? (a) 28 /33 (b) 35 /66 (c) 4 /33 (d) 8 /11

Answers

c) 4/33

Total = 66
Football and Baseball Players = 3 + 5 = 8
probability of a football and baseball player = 8/66 = 4/33

Which of the following statements is true?
0.8 <0.2 < 0.9 <0.801
0.2 <0.8 <0.9 <0.801
0.2 0.8 0.801 0.9
0.2 0.9 0.8 0.801

Answers

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

[tex]\: \sf \:0.2 < 0.8[/tex]

[tex] \: \sf \:0.8 < 0.801[/tex]

[tex] \: \sf \:0.801 < 0.9[/tex]

Combining the above inequalities, we get :

[tex]\qquad❖ \: \sf \:0.2 < 0.8 < 0.801 < 0.9[/tex]

[tex] \qquad \large \sf {Conclusion} : [/tex]

Option C is correct

What is the radius and diameter of the following circle?
Radius = cm
diameter= cm

Answers

The value of diameter and radius of circle is 7 cm and 3.5cm.

According to the statement

we have given that the a figure of circle and we have to find the radius and the diameter of the circle.

So, We know that the

The radius of a circle runs from its center to its edge, the diameter runs from edge to edge and cuts through the center.

Here from the figure it is clear that the

Diameter of circle = 7cm

and the radius of circle we have to find

So,

Radius of circle = Diameter /2

Substitute the values in it then

Radius of circle = 7cm /2

Radius of circle = 3.5 cm.

So, The value of diameter and radius of circle is 7 cm and 3.5cm.

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Which shows all of the zeros of function shown on the graph

Answers

Answer: C

Step-by-step explanation:

The zeros of a graph are where the graph intersects the x-axis.

What is the distance from (-3,8) and (13,-6)?

Answers

Answer:

d ≈ 21.26 units

Step-by-step explanation:

calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 3, 8 ) and (x₂, y₂ ) = (13 - 6 )

d = [tex]\sqrt{13-(-3))^2+(-6-8)^2}[/tex]

   = [tex]\sqrt{(13+3)^2+(-14)^2}[/tex]

   = [tex]\sqrt{16^2+196}[/tex]

   = [tex]\sqrt{256+196}[/tex]

   = [tex]\sqrt{452}[/tex]

   ≈ 21.26 units ( to 2 dec. places )

Answer:

The distance is 21.3

Step-by-step explanation:

The solution is in the attached image

Consumer math. send help

Answers

Mean = 402.5.

Variance = 77,556.3

Standard deviation = 278.5

See attachment for the complete table.

What is the Mean?

The mean of a data is the sum of all data values divided by the number of data values we have in the data set.

What is the Variance?

Variance is calculated by finding the sum of the squares of the deviations from the mean, find the average, then find the average.

What is the Standard Deviation?

The standard deviation = the square root of variance.

The mean of the data given would be: 402.5.

402.5 is subtracted from each of the data points to get the deviations which are squared.

It is the sum of the deviations that gives us 310,225.2.

To find the variance, divide 310,225.2 by the number of data values which is 4.

Variance = 310,225.2/4

Variance = 77,556.3

Standard deviation = √77,556.3

Standard deviation = 278.5

The complete table containing the missing values is given in the image attached below.

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can anyone help me solve this?

Answers

[tex] \frac{ \sqrt{x + 8} - \sqrt{x} }{8} \times \frac{ \sqrt{x + 8} + \sqrt{x} }{ \sqrt{x + 8} + \sqrt{x} } \\[/tex]

[tex] \frac{( \sqrt{x + 8} ) {}^{2} - ( \sqrt{x}) {}^{2} }{8( \sqrt{x + 8} + \sqrt{x} ) } \\ [/tex]

[tex] \frac{( \sqrt{x + 8} ) {}^{2} - ( \sqrt{x}) {}^{2} }{8( \sqrt{x + 8} + \sqrt{x} ) } \\ \frac{x + 8 - x}{8 \sqrt{x + 8} + 8 \sqrt{x} } = \frac{8}{8 \sqrt{x + 8} + 8 \sqrt{x} } [/tex]

After 3 minutes, a submarine had descended to −550 feet. After 8 minutes, the submarine had descended to −600 feet. Assuming a linear function, write an equation in the form d(t)=mt+b that shows the depth, d(t), after t minutes.

Answers

Answer:

d(t)=-10t-520

Step-by-step explanation:

First you have to find the gradient (m) using the formula [tex]m=\frac{d(t)2-d(t)1}{t2-t1}[/tex]

using the two points you have been given: 1(3,-550) and 2(8,-600)

so you substitute these points into the equation [tex]m=\frac{-600+500}{8-3}[/tex]

m=-10

Now that you have found the m-value you need to find the b-value by using one of the points you already have, I will use Point 2 (8,-600), and substitute it into the equation and solve

d(t)=-10t+b

-600=-10*8+b

-600=-80+b

-520=b

Therefore, the equation is d(t)=-10t-520

25)
27)
29)
8-Surface Area of Solids
Find the surface area of each solid. Round to the nearest tenth.
7 yd
9m
5 yd
7 yd
7 yd
8.3 m
9m
7 yd
13.7 yd 26)
4 yd
3.9 ft
28)
3 mi
30)
2 mi
818
2 mi
11.5 yd
2 mi
3 mi
7 yd
7 yd

Answers

The surface area of the figure illustrated will be 286 yards²

How to calculate the area?

The surface area of a solid object simply implies the measure of the total area which the surface of an object occupies. This is typically done by adding all the areas on the surface of the object.

It should be noted that the surface area of a cuboid will be:

= 2(lw + lh + wh)

w = width = 7

l = length = 9

h = height = 5

Surface area = 2(lw + lh + wh)

= 2(7 × 9) + 2(9 × 5) + 2(7 × 5)

= 126 + 90 + 70

= 286 yards²

Therefore, the surface area of the solid will be 286 yards².

Complete question:

Find the surface area of the solid given that the length is 9 yards, the width is 7 yards, and the height is 5 yards.

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Use the coordinate grid to determine the coordinates of point A:

Coordinate grid shown from negative 2 to positive 2 on x axis and negative 2 to positive 2 on y axis. There are increments of 1 over 4 for each grid line on each of the two axes. Only the whole numbers are labeled on either side of the axis. A point A is shown at the intersection of 5 grid lines to the left of the y-axis and 3 grid lines above the x-axis.

What are the coordinates of point A?

( fraction negative 1 and 1 over 4, fraction 3 over 4)
( fraction 1 and 1 over 4, fraction negative 3 over 4)
( fraction negative 3 over 4, fraction 1 and 1 over 4)
( fraction 3 over 4, fraction negative 1 and 1 over 4)

Answers

Based on the given coordinate grid, and the increment for each grid line, the coordinates of point A is ( fraction negative 1 and 1 over 4, fraction 3 over 4) or (-1¹/₄, ³/₄).

What are point A's coordinates?

The x-value of point A is said to be 5 grid lines to the left of y-axis. This means that the x value will be negative.

The increments are 1/4 so the x-value is:
= -1/4 x 5

= -1¹/₄

The y-value is given by the 3 grid lines above the x-axis which means that this value is positive:

= 1/4 x 3

= 3 /4

The coordinates of A are:

(-1¹/₄, ³/₄)

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In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally​ distributed, with a mean of 5.2 and a standard deviation of 2.5. Answer parts ​(a)–​(d) below.

Answers

The probability that a randomly selected study's participant was less than 4 is 0.2266.

How to compute the probability?

Given that:

mean = 5.8

standard deviation = 2.4

a) P(x < 4) = P[(x - mean ) /sd < (4 - 5.8) / 2.4]

= P(z < -0.75)

Using z table,

= 0.2266

b) P(4 < x < 6) = P[(4 - 5.8)/ 2.4) < (x - \m ) /sd < (6 - 5.8) / 2.4) ]

= P(-0.75 < z < 0.08)

= P(z < 0.08) - P(z < -0.75 )

Using z table,

= 0.5319 - 0.2266

= 0.3053

c) P(x > 8) = 1 - p( x< 8)

=1- p P[(x - \m ) / sd< (8 - 5.8) / 2.4]

=1- P(z < 0.92)

Using z table,

= 1 - 0.8212

= 0.1788

Lastly, there are no unusual events because all the probabilities are greater than 0.05.

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George has 50,000in wage income ,20,000 in gambling winning .10,000 in alimony income and 5,000 in divided income the amount of George income that is subject to withholding is

Answers

The amount of George's income that is subject to withholding is $75,000, which excludes the alimony income.

What is alimony income?

Alimony income represents the amount received from a spouse or a former spouse under a divorce or separation instrument.

What are the incomes subject to withholding?

The incomes subject to withholding include the following:

Regular CommissionsVacation payReimbursementsOther expense allowances PensionsBonusesDividendsGambling winnings.

Data and Calculations:

Wages income = $50,000

Gambling winning = $20,000

Alimony income = $10,000

Dividend income = $5,000

Income subject to withholding = $75,000 ($20,000 + $20,000 + $5,000)

Thus, George's income that is subject to withholding is $75,000, excluding the alimony income.

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