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Blababa [14]
3 years ago
5

A person places a bet on the coin toss at the start of the Super Bowl. If the coin comes up HEADS you WIN $100. If the coin come

s up TAILS you LOSE $110. What is the person's expected value of making this bet
Mathematics
1 answer:
devlian [24]3 years ago
4 0

Answer:

- 5

Step-by-step explanation:

Probability of a coin toss : (H, T)

With probability of 0.5 each

X : ____100 ____ - 110

P(x) :___ 0.5 ____ 0.5

Expected value ; E(X) = ΣX*p(X)

E(X) = (100 * 0.5) + (-110 * 0.5)

E(X) = 50 - 55

E(X) = - 5

Expected value = - 5

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The cost of an uber ride, y, based on miles, x is represented by y = 2/3x + 4. How much does a 21-mile ride cost ?
dangina [55]

Answer:

Step-by-step explanation:

Let the cost of the Uber ride be represented by y in dollars.

Let the number of miles that the Uber rides be represented by x.

The equation relating x and y is expressed as

y = 2/3x + 4.

This is a slope intercept form equation. The slope is 2/3 and it represents the cost per mile.

The cost of a 21 mile ride will be

Substituting x = 21 into the given equation, it becomes

y = 2/3 × 21 + 4 = 14 + 4 = 18

The 21 mile ride costs $18

Part B) The $46 ride will cost

Substituting y = 46 into the given equation, it becomes

46 = 2x/3 + 4 =

46 - 4 = 2x/3

42 = 2x/3

2x = 42 × 3 = 126

x = 126/2 = 63

The $46 ride will be 63 miles

6 0
2 years ago
0.4 divided by 0.08=
NISA [10]

Answer:

The answer is five (5)

Step-by-step explanation:


3 0
3 years ago
The sale price of a used car is $4,160 after a 35% discount. What is the original price of the car?
erik [133]

Answer: The original price was $6,400

Step-by-step explanation: To find the original price, divide the sale price by 1 minus the discount rate:  4160 / (1- 0.35) =  4160 / 0.65 = 6400

mark brainliest?? plz :)

3 0
3 years ago
What is the area of the circle shown below?
Andrew [12]

Answer:

201.06

Step-by-step explanation:

5 0
3 years ago
Solve the following triangle. Given A=51 degrees b=40 c=45
STALIN [3.7K]

Answer:

a=36.87\ units

B=57.47^o

C=71.53^o

Step-by-step explanation:

step 1

Find the length side a

Applying the law of cosines

a^2=b^2+c^2-2(b)(c)cos(A)

substitute the given values

a^2=40^2+45^2-2(40)(45)cos(51^o)

a^2=1,359.4466

a=36.87\ units

step 2

Find the measure of angle B

Applying the law of sines

\frac{a}{sin(A)} =\frac{b}{sin(B)}

substitute the given values

\frac{36.87}{sin(51^o)} =\frac{40}{sin(B)}

sin(B)=\frac{sin(51^o)}{36.87}{40}

B=sin^{-1}(\frac{sin(51^o)}{36.87}{40})=57.47^o

step 3

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

A+B+C=180^o

substitute the given values

51^o+57.47^o+C=180^o

108.47^o+C=180^o

C=180^o-108.47^o=71.53^o

5 0
3 years ago
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