Find the mean from the given data: 2, 5, 7, 3, 8, 9, 10,4​

The amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]

The final amount becomes:

[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]

For the considered case, we're given that:

The final amount at the end of 4 years in the considered account of Laura is evaluated as:

[tex]A = 5500(1 + \dfrac{1.6}{100})^4 = 5500(1.016)^4 \approx 5860.53 \: \rm (in \: dollars)[/tex]

Thus, he amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)

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Answer:

okay so the is 140 degrees right and d and e are on a straight line so extend every line in that diagram so to get a it will be 180 degrees - 140 and e is equals to 40 degrees k will be 180 degrees because of angle y and d Angle c is equals to 100 degrees because it falls on a straight line with 80 degrees and angles in a straight line add up to 180° uncle g is equals to 100 degrees because it alternate angles c

The measure of angle g from the given figure is 80°.Therefore, option C is the correct answer.

A quadrilateral is a polygon with four sides four angles and four vertices. Whenever we name a quadrilateral, we need to keep in mind the order of the vertices.

Given that, angle d is 140°.

We know that, sum of interior angles of a quadrilateral is 360°.

From the given figure,

c°+80°=180°

c°=100°

Now, 40°+d°+g°+c°=360°

40°+140°+g°+100°=360°

g°+280°=360°

g°=80°

Therefore, option C is the correct answer.

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Answer:

All you need to do is find the reciprocal and switch the exponent to a negative. The answer is 8^-6

Step-by-step explanation:

Answer: 8^-6

Step-by-step explanation:

got it right from the answer above

Answer:

See below

Step-by-step explanation:

15% of 120 is 18

120 plus 18 is 138

=138

Answer:

Step-by-step explanation:

y = 66x - 1200

The charity organisation has to sell a number of tickets to cover their production costs of $1,200. It is given that after selling 200 tickets they retain a net profit of $12,000. Net profit is deduced as: Total sales - total costs. Sales is calculated as total tickets x selling price per ticket.

If we let b represent the sales earned from selling tickets, then:

Net profit = total sales - total costs

12,000 = 200b - 1,200

We can then solve for b by taking the 1200 to the other side of the equal sign. When we do that the sign of that number changes. This is also the same as adding 1200 to both sides of the equal sign:

∴12000 + 1200 = 200b

13200 = 200b

To get the price of one single ticket, b, we need to divide both sides by 200.

∴ b = 66

This means that each ticket's selling price is $66.

So when when we take it back to the calculation of net profit then it becomes:

Net profit = total sales - total costs

y = 66x - 1200

To test:

y = 66x - 1200

= 66 (200 tickets) - 1200

= $12,000

Answer: First option: Line FG

Step-by-step explanation:

Intersection points will be those points that belong to both lines.

We have the lines Line FG and Line GF.

Line FG: This is the line that connects the point F and the point G.

Line GF: this is the line that connects the point G and the point F.

Now, by unicity, we know that there is only one line that connects two points, then Line FG and Line GF must be the same line.

Then, because both lines are the same line, we can say that "All the points in Line GF are in the Line FG"

Then the interception is the whole Line FG.

Answer:First option: Line FG First option: Line FG

Step-by-step explanation:

Intersection points will be those points that belong to both lines.

We have the lines Line FG and Line GF.

Line FG: This is the line that connects the point F and the point G.

Line GF: this is the line that connects the point G and the point F.

Now, by unicity, we know that there is only one line that connects two points, then Line FG and Line GF must be the same line.

Then, because both lines are the same line, we can say that "All the points in Line GF are in the Line FG"

Then the interception is the whole Line FG.

Answer: the actual speed of the car is 65 and the other part is

"he used change in x coordinates/change in y coordinates to find a unit rate not change in y-coordinates/change in x coordinates"

Step-by-step explanation:

sorry, hope this isnt too late and hope this helps you!! <3

sorry put a answer then i realized we didn’t have the same numbers

(-7)¹ x (-7)⁻⁴ = (-7)⁻⁵

Answer:

Step-by-step explanation:

1. solution

160 gallons = 2 min

160 x 5 = 2 x 5

800 gallons = 10 min

2. solution

160 x 19 = 2 x 19

2880 = 36

So

approximately 38 min

Answer:

x = -6

Step-by-step explanation:

we can see that x=-6 when y=2 on the graph

Answer:

-4 should be the answer

good luck

Answer:

Step-by-step explanation:

START

=> Alternate Interior Angles (Slanted Downwards Right)

=> Vertical Angles (Up)

=> Linear Pair (Right)

=> Corresponding Angles (Down)

=> Alternate Exterior Angles (Down)

=> Interior Angles on the Same Side (Left)

=> Alternate Interior Angles (Left)

=> Corresponding Angles (Slanted Downwards Right)

=> Exterior Angles on the Same Side (Right)

FINISH

Answer:

Claire traveled for 9 days.

Step-by-step explanation:

Given:

Total Distance traveled = 701 miles

Distance traveled each day = 80 miles

Distance traveled on last day = 61 miles

We need to find the number of days Claire traveled.

Solution:

Let the number of days Claire traveled be denoted by 'd'.

Now we can say that;

Total Distance traveled is equal to sum of Distance traveled each day multiplied by number of days and Distance traveled on last day.

framing in equation form we get;

Now Subtracting both side by 61 using Subtraction Property of Equality we get;

Now Dividing both side by 80 we get;

Hence Claire traveled 80 miles in 8 days and 61 miles on last day making of total 9 days of travel.

Hey there!

Formula:

SUM of all numbers / TOTAL numbers you have in your data plot

EQUATION:

(10 + 10 + 13 + 14 + 16 + 19 + 23) / 7

10 + 10 + 13 + 14 + 16 + 19 + 23
= 20 + 13 + 14 + 16 + 19 + 23

= 33 + 14 + 16 + 19 + 23

= 47 + 16 + 19 + 23

= 63 + 19 + 23

= 82 + 23

= 105

105 / 7

= 15

So, therefore the answer is: Naeem's Work. Start fraction 10, 10, 13, 14, 16, 19, 23 Over 7 end fraction = StartFraction 105 Over 7 end fraction = 15 (Option A.)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Point of Intersection = (2/3, -16/3)

Step-by-step explanation:

Equation of line AB

=> y + 18 / -15 + 18 = x + 3 / -2 + 3

=> y + 18 = 3x + 9

=> y = 3x - 9

Equation of Line CD

=> y + 13 / -7 + 13 = x + 7 / -1 + 7

=> y + 13 = x + 7

=> y = x - 6

Intersection

=> 3x - 9 = x - 6

=> 2x = 3

=> x = 2/3

y = 2/3 - 6

y = -16/3

Point of Intersection = (2/3, -16/3)

Answer:

The value of a ratio is:

Option 2, The quotient of the two quantities in the ratio.

Step-by-step explanation:

Hope this helps you out! ^^

I am pretty sure the answer is 37 more bags.

Kendall need 33 more bags of popcorn to be sold.

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given that, Kendall is selling bags of popcorn to raise money for her soccer team. If she has raised $104 so far and the popcorn bags cost $8 each, she needs to raise $400, we need to find how many more must she sell in order to raise at least $400.

Let she needs to sell x more bags of popcorn,

Therefore,

140 + 8x = 400

8x = 260

x = 32.5 ≈ 33

Hence, Kendall need 33 more bags of popcorn to be sold.

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Answer:

[tex]\huge\boxed{\sf 22670.80 \ cm^3}[/tex]

Step-by-step explanation:

Height = h = 20 cm

Diameter = d = 38 cm

Radius = d / 2 = 38 / 2 = 19 cm

Volume of cylinder:

[tex]= \pi r^2 h\\\\= (3.14)(19)^2(20)\\\\= (3.14)(361)(20)\\\\= 22670.80 \ cm^3\\\\\rule[225]{225}{2}[/tex]

Solution:

Given:

First, let's find the radius of the cylinder as the radius of the cylinder is included in the formula.

[tex]\text{Diameter = 2(Radius)}[/tex]

[tex]\text{Radius} = \dfrac{\text{Diameter}}{2}[/tex]

[tex]\text{Radius} = \dfrac{38}{2}[/tex]

[tex]\text{Radius} = 19 \ \text{cm}[/tex]

Recall that the volume of a cylinder is πr²h. Now, let's use the formula to find the volume of the cylinder.

[tex]\pi r^{2} h = \text{Volume of cylinder}[/tex]

[tex](\pi)( r^{2})( h) = \text{Volume of cylinder}[/tex]

[tex](3.14)( 19^{2})( 20) = \text{Volume of cylinder}[/tex]

[tex]\boxed{22670.8 \ \text{cm}^{3} = \text{Volume of cylinder}}[/tex]

Answer: f is the dependent variable

Step-by-step explanation:

A variable that depends on one or more other variables. For equations such as letter f = 0.73g +16.8, the dependent variable is letter f. The value of letter f depends on the value chosen for g. Usually the dependent variable is isolated on one side of an equation.

Answer:

See below.

Step-by-step explanation:

We know that the equation [tex]4x+16y=36[/tex] is a true equation for a particular value of x.

Now, let's see what happens if we divide everything by 4. In other words:

[tex]\frac{4x+16}{4}=\frac{36}{4}[/tex]

Divide:

[tex]x+4=9[/tex]

So, we get [tex]x+4=9[/tex].

When we divided everything by 4, we used the division property of equality. Under this property, the equation remains the same even if we divided since we did the same thing to both sides of the equation.

Therefore, [tex]x+4y=9[/tex] is also true for the same value of x because it is just a simplified version of [tex]4x+16y=36[/tex].

It will take 8 weeks to Tom to achieve his goal.

The amount earned by him is given by multipliy number or hours and eaning in a hour.

Given

Tom has a goal of saving enough money to buy a new set of rims for his car.

Tom makes $7. 50 an hour take home pay at his job working 15 hours per week.

The earning of Tom in an hour = $7.5

If tom worked 15 hours in a week, then the amount earned by him in one week is;

[tex]=15\times 7.5\\\\=112.5[/tex]

The required amount to achieve his goal = $900

The number of week he need to work to achieve his target is;

[tex]= \dfrac{900}{112.5}\\\\= 8[/tex]

Hence, It will take 8 weeks to Tom to achieve his goal.

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Answer:

2 seconds

Step-by-step explanation:

[tex]y=-5t^2+20[/tex] (Given)

When acorn will hit the the ground, at that moment y = 0

[tex]\implies 0= -5t^2+20[/tex]

[tex]\implies 5t^2=20[/tex]

[tex]\implies t^2=\frac{20}{5}[/tex]

[tex]\implies t^2=4[/tex]

[tex]\implies t=\pm\sqrt4[/tex]

[tex]\implies t=\pm 2[/tex]

Time can not be negative.

[tex]\implies t\neq-2[/tex]

[tex]\implies t=2\:seconds[/tex]

Answer:

I think your answer is h = -1

Answer:

-8h+13=3

-8h=3-13

_8h=_10

h=5\4

Using the formula for the area and circumference of a circle, we have the following answers:

1. radius = 2 in. (given)

Diameter = 4 in.

Circumference = 12.56 in.

Area = 12.56 in.²

2. radius = 10 in.

Diameter = 20 in. (given)

Circumference = 62.8 in.

Area = 314 in.²

3. radius = 5 in.

Diameter = 10 in. (given)

Circumference = 31.4 in.

Area = 78.5 in.²

4. radius = 20 in.

Diameter = 40 in. (given)

Circumference = 125.6 in.

Area = 1,256 in.²

5. radius = 18 in. (given)

Diameter = 36 in.

Circumference = 113.04 in.

Area = 1,017.36 in.²

6. radius = 8 in. (given)

Diameter = 16 in.

Circumference = 50.24 in.

Area = 200.96 in.²

7. radius = 12 in. (given)

Diameter = 24 in.

Circumference = 75.36 in.

Area = 452.16 in.²

8. radius = 16 in.

Diameter = 32 in. (given)

Circumference = 100.48 in.

Area = 803.84 in.²

9. radius = 15 in. (given)

Diameter = 30 in.

Circumference = 94.2 in.

Area = 706.5 in.²

1. radius = 2 in. (given)

Diameter = 2(2) = 4 in.

Circumference = πd = π(4) = 12.56 in.

Area = πr² = π(2²) = 12.56 in.²

2. radius = 1/2(20) = 10 in.

Diameter = 20 in. (given)

Circumference = πd = π(20) = 62.8 in.

Area = πr² = π(10²) = 314 in.²

3. radius = 1/2(10) = 5 in.

Diameter = 10 in. (given)

Circumference = πd = π(10) = 31.4 in.

Area = πr² = π(5²) = 78.5 in.²

4. radius = 1/2(40) = 20 in.

Diameter = 40 in. (given)

Circumference = πd = π(40) = 125.6 in.

Area = πr² = π(20²) = 1,256 in.²

5. radius = 18 in. (given)

Diameter = 2(18) = 36 in.

Circumference = πd = π(36) = 113.04 in.

Area = πr² = π(18²) = 1,017.36 in.²

6. radius = 8 in. (given)

Diameter = 2(8) = 16 in.

Circumference = πd = π(16) = 50.24 in.

Area = πr² = π(8²) = 200.96 in.²

7. radius = 12 in. (given)

Diameter = 2(12) = 24 in.

Circumference = πd = π(24) = 75.36 in.

Area = πr² = π(12²) = 452.16 in.²

8. radius = 1/2(32) = 16 in.

Diameter = 32 in. (given)

Circumference = πd = π(32) = 100.48 in.

Area = πr² = π(16²) = 803.84 in.²

9. radius = 15 in. (given)

Diameter = 2(15) = 30 in.

Circumference = πd = π(30) = 94.2 in.

Area = πr² = π(15²) = 706.5 in.²

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Answer:

a=14

b=-5

c=3

Step-by-step explanation:

14 divided by 7 will give 2.

Using laws of indices {a^x/a^y}=a^x-y,using that law(-5-4 will give -9 bringing the -9 downward will make it positive )

same too for y

Answer:

x = 5

Step-by-step explanation:

a^2 + b^2 = c^2

3^2 + 4^2 = x^2

9 + 16 = x^2

25 = x^2

√25 = √x^2

x = 5

Answer:

[tex]( - 1,2 \frac{1}{2} )[/tex]

Step-by-step explanation:

[tex]\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )}[/tex]

Thus, midpoint

[tex] = ( \frac{4 - 6}{2} , \frac{8 - 3}{2} ) \\ = (\frac{ - 2}{2} , \frac{5}{2} ) \\ = ( - 1,2 \frac{1}{2} )[/tex]

Answer:

The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.  

If someone prefers to study music, the probability the person is in HS is about 44%.

Step-by-step explanation:

In the music column, we see that

total people who prefer to study with music =   153

high school students = 68

So, probability of high school students who study with music

= 68/153

= 0.44

= 44%.

College students = 85

Probability of college students who prefer to study with music

=  85/153

= 0.56

= 56%.

So, the correct statements are :

The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.  

If someone prefers to study with music, the probability the person is in HS is about 44%.

Answer:

3 and 5

Step-by-step explanation:

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