Tom makes a bet with his friend Bob. Bob wagers $100, but Tom decides to make him a deal. If Bob wins, Tom will pay him $100. If Tom wins, Bob will instead pay $1 for the first day, then every day for 10 days he must match the total amount paid so far.
For the first day, Bob will pay $1. The second day, he will pay an additional dollar, since he has only paid $1 thus far. The third day he will pay $2, the fourth $4, and so on.
If Bob has a 75% chance to win, which of the following is the closest to the amount of money Tom will make on average with this bet?
Possible Answers:
A. -$25
B. $50
C. $0
D. $25
E. $100

Answer:

answer is in attachment

The required probabilities are [tex]P(\text{pennies})=\dfrac{13}{28},P(\text{nickels})=\dfrac{27}{140},P(\text{dimes})=\dfrac{3}{14},P(\text{quarters})=\dfrac{9}{70}[/tex].

Given:

Pennies = 65

Nickels = 27

Dimes = 30

Quarters = 18

To find:

The probability of each.

Solution:

The probability formula:

[tex]\text{Probability}=\dfrac{\text{Favorable outcome}}{\text{Total outcomes}}[/tex]

Total number of coins:

[tex]65+27+30+18=140[/tex]

The probability of selecting Pennies is:

[tex]P(\text{pennies})=\dfrac{65}{140}[/tex]

[tex]P(\text{pennies})=\dfrac{13}{28}[/tex]

The probability of selecting nickels is:

[tex]P(\text{nickels})=\dfrac{27}{140}[/tex]

The probability of selecting dimes is:

[tex]P(\text{dimes})=\dfrac{30}{140}[/tex]

[tex]P(\text{dimes})=\dfrac{3}{14}[/tex]

The probability of selecting quarters is:

[tex]P(\text{quarters})=\dfrac{18}{140}[/tex]

[tex]P(\text{quarters})=\dfrac{9}{70}[/tex]

Therefore, the required probabilities are [tex]P(\text{pennies})=\dfrac{13}{28},P(\text{nickels})=\dfrac{27}{140},P(\text{dimes})=\dfrac{3}{14},P(\text{quarters})=\dfrac{9}{70}[/tex].

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Answer:

the cost continues to increase

Step-by-step explanation:

the cost (C) approaches infinity (or becomes very large) as t approaches 100%. Thus, the correct answer is: A. The cost continues to increase.

To determine what happens to the cost (C) as t approaches 100%, we can take the limit of the cost function as t approaches 100.

The cost function is given as: [tex]\[ C = \frac{55,000t}{100 - t} \][/tex]

Now, let's find the limit of C as t approaches 100:[tex]\[ \lim_{{t \to 100}} C = \lim_{{t \to 100}} \frac{55,000t}{100 - t} \][/tex]

To find this limit, we can use direct substitution:[tex]\[ \lim_{{t \to 100}} \frac{55,000 \times 100}{100 - 100} = \lim_{{t \to 100}} \frac{5,500,000}{0} \][/tex]

Since the denominator approaches 0 as t approaches 100, the limit is undefined (infinite).

Therefore, the cost (C) approaches infinity (or becomes very large) as t approaches 100%. Thus, the correct answer is: A. The cost continues to increase.

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[tex]\\ \rm\longmapsto <DEC+<CEF=180[/tex]

[tex]\\ \rm\longmapsto 11x-12+2x+10=180[/tex]

[tex]\\ \rm\longmapsto 13x-1=180[/tex]

[tex]\\ \rm\longmapsto 13x=169[/tex]

[tex]\\ \rm\longmapsto x=\dfrac{169}{13}[/tex]

[tex]\\ \rm\longmapsto x=13[/tex]

Now

[tex]\\ \rm\longmapsto 11x-12=11(13)-12=143-12=131[/tex]

[tex]\\ \rm\longmapsto 2x+10=2(13)+10=36°[/tex]

Answer:

∠ DEC = 142°, ∠ CEF = 38°

Step-by-step explanation:

∠ DEC and ∠ CEF are adjacent angles on the straight line and sum to 180° , so

11x - 12 + 2x + 10 = 180 , that is

13x - 2 = 180 ( add 2 to both sides )

13x = 182 ( divide both sides by 13 )

x = 14

Then

∠ DEC = 11x - 12 = 11(14) - 12 = 154 - 12 = 142°

∠ CEF = 2x + 10 = 2(14) + 10 = 28 + 10 = 38°

Answer:

brainliest is appreciated

Answer:

a positive number

Step-by-step explanation:

-(-) = +

for example, -1 * -1 = 1

Answer:

64 ivy stems

Step-by-step explanation:

72 ivy stems / 18 centerpieces = 4 ivy stems / 1 centerpiece

Create an equation with x being the amount of ivy stems needed.

x / 16 = 4

x = 64

Answer:

x = 48

Step-by-step explanation:

Multiply both sides by 6

x = 6 * 8

x = 48

Check:

48/6 = 8

8 = 8

Answer:

[tex] \frac{x}{6} = 8 \\ \\ x = 8 \times 6 \\ \\ x = 48[/tex]

Answer:

probability is 1/2

Step-by-step explanation:

multiples of 3 that will occur in standard dice = 3,6

hence, theres 3 occasions that u will roll a 4 or multiple of 3 on a standard # cube:

3/6 = 1/2

Answer:

Step-by-step explanation:

E ⊂ F ⊂ G

Answer:

5

Step-by-step explanation:

24-8X=-16

24+16=8X

40=8X

X=5

Answer:

x=5

Step-by-step explanation:

24 - 8x = -16

=> 24 + 16 = 8x

=> 8x = 24 + 16

=> 8x = 40

=> x = 40/8

=> x = 5

Call a bottle of juice costs is x

$2.49 + 12x = $27.57

             12x = $27.57 - $2.49

             12x = $25.08

                 x = $25.08 / 12

                 x = $2.09

SO each bottle of juice costs $2.09.

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Answer:

Step-by-step explanation:

50 por que si no lO seeee agradezcan que respondo

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

Explanation:

If we tried the x coordinate of choice A, then,

y = -3x-7

y = -3*2-7

y = -6-7

y = -13

This shows that the point (2,-13) is on the line and not (2,-1). This rules out choice A, and also choice E.

Let's try x = -2

y = -3x-7

y = -3*(-2)-7

y = 6-7

y = -1

This shows that (-2,-1) is a point on the line, and it points us to choice C being the final answer. This rules out choice B.

If we tried x = 1, then,

y = -3x-7

y = -3*1-7

y = -3-7

y = -10

Which shows that (1,-10) is a point on this line, which rules out choice D.

The visual summary is shown below as a graph. Only point C is on the red line.

Answer:

3+16 divided by 4 is 4.75

4×7-2×6..... is5.33

168

m∠AVC+m∠CVB=m∠AVB. Option b is correct.

Given a figure in which point C is inside ∠AVB and ∠AVB=62°.

A geometric figure formed by two lines starting from a common point or two planes starting from a common line is called an angle. The space between these lines or planes is measured in degrees.

Knowing that a point C is between ∠AVB and ∠AVC=39° and ∠CVB=23°, then

From the figure, we can see that C is inside ∠AVB, so ∠AVB is divided into two parts, namely ∠AVC and ∠CVB

m∠AVC+m∠CVB=m∠AVB

Now substitute the values ​​we get

39°+23°=62°

62°=62°

So both sides are equal and it's proven.

Hence, a point C is between ∠AVB and ∠AVB=62° then m∠AVC+m∠CVB=m∠AVB.

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Answer:

y + 8 = -4 (x + 6)

Step-by-step explanation:

y + 8 = -4 (x + 6)

Answer:  12 units

Replace "units" with "feet", "meters", etc. if your teacher instructs it.

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

Explanation:

M is the midpoint, which means segments LM and MN are the same length. This is because M cut LN in half.

So,

LM = MN

3x = 2x+2

3x-2x = 2

x = 2

Use this x value to then say

Segments LM and MN are 6 units each.

From that, we know,

LN = LM+MN = 6+6 = 12

The distance from your house to your friends house is 12 units.

The can contains 15.7 g of sugar per 100 mL. So if the can holds 330 mL of soft drink, then overall it contains

(15.7 g) / (100 mL) × (330 mL) = 51.81 g

of sugar, and this is

(51.81 g) / (90 g) ≈ 0.575667 ≈ 57.6%

so Tom's friend is correct.

Answer:

- [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m = [tex]\frac{1-(-4)}{1-0}[/tex] = [tex]\frac{1+4}{1}[/tex] = 5

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex]

Answer:

137027.1 Rupees

Step-by-step explanation:

(125200+5302) * 0.05 = 6525.1

130502+6525.1 =  137027.1

7 people can be divided into 2 groups, the first group having 4 people; and the second group having 3 people.

Answer:

1. 3x-9+2y

2. 7x+6

Step-by-step explanation:

1. 2x + (x - 4) + (2y - 5)

  2x+x-4+2y-5

  3x-9+2y

2. 3(x - 2) + 4(x + 3)

  3x+4x-6+12

  7x+6

Answer:

1. 3x - 9 + 2y               2. 7x + 6

Step-by-step explanation:

1.

2x + (x - 4) + (2y - 5) =

3x - 9 + 2y

2.

3(x - 2) + 4(x + 3) =

3x - 6 + 4x + 12 =

7x + 6

Answer:

Yes, this is a function.

Step-by-step explanation:

Every input has its own unique output (no x number goes to more than one y number).

Hi ;-)

[tex]8x=y \ \ /:8\\\\\boxed{x=\frac{y}{8}}[/tex]

If 0 is subtracted from any number, then the result is the Number itself.

Example :-

Answer:

looks like there's 5

Step-by-step explanation:

acute angles are under 90°

obtuse are over 90°

right angles are 90°