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Several pennies are placed along a meter stick and the position in centimeters of each penny is recorded. The mean position is the 50-centimeter mark and the MAD is 10 centimeters. What information does this tell you about the position of the pennies along the meter stick?


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Answer:

15. [tex] x = 15 [/tex]

17. [tex] c = 13.2 [/tex]

19. [tex] x = 25.8 [/tex]; [tex] y = 12.4 [/tex]

Step-by-step explanation:

15. [tex] 20*6 = 8*x [/tex] (intersecting chord theorem)

Solve for x

[tex] 120 = 8x [/tex]

Divide both sides by 8

[tex] 15 = x [/tex]

[tex] x = 15 [/tex]

17. [tex] (11 + 20)*11 = (13 + c)*13 [/tex] (two secants intersecting theorem)

Solve for c

[tex] 31*11 = 169 + 13c [/tex]

[tex] 341 = 169 + 13c [/tex]

Subtract 169 from each side

[tex] 341 - 169 = 169 + 13c - 169 [/tex]

[tex] 172 = 13c [/tex]

Divide both sides by 13

[tex] \frac{172}{13} = \frac{13c}{13} [/tex]

[tex] 13.2 = c [/tex] (nearest tenth)

19. [tex] (x + 5)*5 = (15 + 7)*7 [/tex] (two secants intersecting theorem)

Solve for x

[tex] 5x + 25 = 22*7 [/tex]

[tex] 5x + 25 = 154 [/tex]

Subtract 25 from each side

[tex] 5x + 25 - 25 = 154 - 25 [/tex]

[tex] 5x = 129 [/tex]

Divide both sides by 5

[tex] \frac{5x}{5} = \frac{129}{5} [/tex]

[tex] x = 25.8 [/tex] (nearest tenth)

[tex] y^2 = 7*(15 + 7) [/tex] (tangent and secant theorem)

Solve for y

[tex] y^2 = 7*22 [/tex]

[tex] y^2 = 154 [/tex]

Take the Square root of both sides

[tex] \sqrt{y^2} = \sqrt{154} [/tex]

[tex] y = \sqrt{154} [/tex]

[tex] y = 12.4 [/tex] (nearest tenth)

Answer:

[tex]x^{2} -6x+xy-6y[/tex]

Step-by-step explanation:

Answer:

The values of coefficients a, b and c are

a=1

b=6

c=6

Step-by-step explanation:

We need to give the values of coefficients [a],[b] and [c]  regarding the product in the form of [tex]ax^2-bx + xy - cy[/tex]

The term given is: [tex](x+y)(x-6)[/tex]

First we will multiply the terms

[tex](x+y)(x-6)\\=x(x-6)+y(x-6)\\=x^2-6x+yx-6y[/tex]

Now comparing the product [tex]x^2-6x+yx-6y[/tex]  with the given form [tex]ax^2-bx + xy - cy[/tex]

The values of coefficients a, b and c are

a=1

b=6

c=6

Answer:

$3

Step-by-step explanation:

When doing estimation, you would want the estimated amount to be rounded off to a number that can be divisible by the question, which in this case is 4. Thus, I will be rounding $11.87 to $12.

11.87 ≈ 12

Amount each friend will pay ≈ 12÷4

                                               = 3

Answer:

n = 1, this means the interest compounds ANNUALLY.

Step-by-step explanation:

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Compound Interest Formula

: A = P(1 + r/n)^nt

A = Amount after time t

P = Principal (Initial Amount Invested)

r = Interest rate

n = Number of times the interest is compounded

t = time in years

A = $30,541.83

r = 4.6% = 0.046

t = 30

P = $7,924

Hence,

$30,541.83 = $7924(1 + 0.046/n)^30n

Divide both sides by 7924

$30,541.93/$7924 = (1 + 0.046/n)^30n

$30,541.93/$7924 = (n + 0.046/n)^30n

3.8543576477 = (n + 0.046/n)^30n

We take the logarithm of both sides

log 3.8543576477 = log (n + 0.046/n)^30n

Solving for n,

n = 1

Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.

Answer:

Jack is 81, Priscilla is 73

Step-by-step explanation:

Because their age difference is 8 years, we can subtract 8 from the total 154 years to get 146. Then we divide by 2 to get 73, so Priscilla is 73. Jack is 8 years older, so therefore he is 81. We can check this by adding 81 + 73 = 154.

Answer:

6. should be C and 7. should be A

Answer:

x = 7, y = -2

Step-by-step explanation:

hey i assume those are two different equations

(x + 3y = 1) 3

-3x - 3y = -15

3x  + 9y =  3

add both equations in elimination method

6y = -12, y = -2

x + 3(-2) = 1

x + -6 = 1, x = 7

Answer:

36.67

Step-by-step explanation:

when you solbe you get 36.667 then round to become 36.67

Answer:

37°C

Step-by-step explanation:

The normal body temperature of a human is 98°F. To convert it into Celsius we know the realtion between Celsius and Farenheight as ,

➳ C/5 = F -32/9

➳ C/5 = 98 - 32/9

➳ C/5 = 66/9

➳ C = 66/9 × 5

➳ C = 36.66 °C ≈ 37°C

9514 1404 393

Answer:

  16.9 m/s N 32.9° W

Step-by-step explanation:

The resultant magnitude can be found from the law of cosines. The internal angle between the boat's heading and the river flow is 135°, so the magnitude of the boat's net speed is ...

  v² = 5² +13² -2·5·13·cos(135°) ≈ 285.924

  v = 16.9093 . . . . m/s

The angle (α) between the boat's heading and the resultant velocity can be found from the law of sines.

  sin(α)/5 = sin(135°)/16.9093

  α = arcsin(5/16.9093×sin(135°)) ≈ 12.07°

The boat's actual heading will be this angle less than the 45° angle the heading makes with due North.

  45° -12.07° = 32.93°

The boat's velocity with respect to shore is about ...

  16.9 m/s N 32.9° W

Answer:

cost of each kettle:

gain/loss from each transaction:

total loss = 65

loss % = 4%

Step-by-step explanation:

both kettles cost 1625

K₁ + K₂ = 1625

selling price of K₁ = [(100 + 20) / 100] x K₁ = 1.2K₁

selling price of K₂ = [(100 - 80) / 100] x K₂ = 0.8K₂

1.2K₁ = 0.8K₂

K₁ = 1625 - K₂

K₁ = 0.8K₂ / 1.2

1625 - K₂ = ²/₃K₂

1625 = ²/₃K₂ + K₂ = ⁵/₃K₂

K₂ = 1625 x ³/₅ = 975

K₁ = 1625 - K₂ = 1625 - 975 = 650

selling price = 1.2K₁ = 1.2 x 650 = 780

selling price K₂ = 0.8K₂ = 0.8 x 975 = 780

gain from selling K₁ = 780 - 650 = 130

loss from selling K₂ = 780 - 975 = 195

total loss = 195 - 130 = 65

loss % = 65 / 1625 = 0.04 = 4%

Answer:

b

Step-by-step explanation:

significant figures means counting the digits that either come before a trail of zeros (45.0000 has 7 significant figures) or come after a trail of leading zeros (00.31 has two significant figures, because the zeros before the decimal point have no other digit in front of them and do not count) 1005.0 would have 6 significant figures

Answer:

Point E divides each diagonal in half. It is the midpoint of  AC and BD . This means the two diagonals bisect each other at point E.

Step-by-step explanation:

PLATO

Answer:

Point E divides each diagonal in half. It is the midpoint of  AC and BD . This means the two diagonals bisect each other at point E.

Step-by-step explanation:

edmentum

Answer:

I would believe that it would be close 7 whatever is closest to seven bro

Answer:

12

Step-by-step explanation:

20%=2/5

2/5 is equivalent to 12/30

therefore 12 uniforms are medium

Answer:

5/3

Step-by-step explanation:

Answer: If you meant this as a fraction then your answer will be -1 2/3 or -5/3... But if you didn't mean the slash mark before the -3 then your answer will be 2.

Hope this helps... Stay safe and have a great day!!! :D

Answer:

1. The speed of the truck, S = D/T.

2. The formula that connects D and T is: S = D/T.

3. The coefficient of variation, k, is the ratio of the standard deviation to the mean speed.

Step-by-step explanation:

a) The speed of a truck at a fixed speed is given as the distance covered by the truck divided by the time it takes the truck to cover the said distance.  This implies that speed is a function of distance and time.  However, this formula represents the mean speed.  There are variations in speed.

b) If the truck covers a distance of 60 kilometers, for example, under 3 hours, we can conclude that the speed is 20 kilometers per hour (60/3) or 20 km/hr.

Answer:

Slope formula!

Step-by-step explanation:

You'd use that to find the slope!! THEN you'd use slope intercept form, but this one first!

I really hope this helped!! Have a good day :)

Answer:

Answer: A. 5:4 Step-by-step explanation: Since the question mentions twelfths of a pie, it is easier to say each pie has 12 pieces or 36 total pieces ordered from the 3 pies. Ty ate 5 and Rob ate 15 which is 3 times more than Ty. A total of 20 pieces have been eaten from the 36 you started with. Eaten = 16. So the ratio is 20:16 which is simplified to = 20 and Remaining 5:4.

Answer:

(-1/2 , 5/2)

Step-by-step explanation:

=(-2+1)/2,(-3+8)/2

=(-1/2 , 5/2)

Answer: X googled it

This converts to the number 99

=========================================================

Explanation:

The upper case letter i means the number 1 in roman numerals. The X represents 10. The C represents 100.

I = 1

X = 10

C = 100

When we form something like IX, we have the smaller digit first and then a larger digit next. Whenever this happens, we subtract

IX = 10-1 = 9

Similarly

XC = 100-10 = 90

So we can see that

IX + XC = 9 + 90 = 99

---------------------------

Since XC is larger than IX, we list XC first when it comes to adding

In other words, we need to write IX+XC as XC+IX which collapses to XCIX

Placing XC next to IX without a plus sign implies the plus sign is there. This is effectively how roman numerals work (they are additive)

So,

XCIX = XC+IX = 90+9 = 99

Note how the XC takes care of the tens digit while IX takes care of the units digit.

Answer:

[tex] \huge{ \boxed{ \bold{ \sf{no \: solution}}}}[/tex]

Step-by-step explanation:

Remember that the equal terms on both side should be cancelled.

[tex] \dashrightarrow{ \sf{ \cancel{5x} \: - 7 = \cancel{ 5x }}}[/tex]

[tex] \dashrightarrow{ \sf{ - 7 = 0}}[/tex]

The statement is false for any value of x. It cannot be further solved! So , 5x - 7 = -5x doesn't have any solution.

Hope I helped!

Have a wonderful time ! ツ

~TheAnimeGirl

Answer: The 3/8 image will go with the answer 3/4 x 1/2. The The 3/16 image will go with the answer 1/4 x 3/4. And finally, the 4/9 image goes with the answer 2/3 x 2/3. You’re welcome. :)

Step-by-step explanation:

Answer:

I'll try my best in explaining the steps.

Considering both signs are greater than and less than sign, its an open circle.

For the first equation, you would have an open circle, basically one that isn't colored in, on 8 on the number line. The arrow would be pointing to the left because the equation is telling us numbers that are less than 8.

For the second equation, you would have an open circle, basically one that isn't colored in, on -1 on the number line. The arrow would be pointing to the right because the equation is telling us numbers that are greater than -1.

Step-by-step explanation:

Answer:

y = 3x - 1

Step-by-step explanation:

Well I really don't understand what you're asking, but I'll give it a go.

y = 3x -1

That's what the equation would look like.

Hope this is what you wanted!!!

Answer:

it is c

Step-by-step explanation:

tje biggest is 34-9 which is smallest and get 25

Answer:

Required probability = 2 / 11

Step-by-step explanation:

Sample space of 5 person = 11!

One woman one man arrangement = 2!

Arrangement without woman = 10!

Required probability = [2!][10!] / [11!]

Required probability = 2 / 11

The probability that the parents will be standing next to each​ other is 2/11

Probability is the likelihood or chance that an event will occur.

Given a woman, man and their four children, if their parents will be standing next to each other, that makes it 5 people. The sample space for 5 people is 11!

Pr(parents standing next to each other) =  2!10!/11!

Pr(parents standing next to each other) = 2*10!/11*10!

Pr(parents standing next to each other) = 2/11

Therefore the probability that the parents will be standing next to each​ other is 2/11

Learn more on probability here: https://brainly.com/question/25870256

Answer: 4.5

Step-by-step explanation:

Since the two black chords are congruent, we know that since the bottom black chord is split into two congruent parts, x = 4.5.

Answer:

I didn't know the answer and sorry I am here taking freepoint because I needed them in a hurry so that I can ask my questions from someone else that's why I really sorry and thank you for free points