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inessss [21]
3 years ago
9

A modified roulette wheel has 32 slots. One slot is​ 0, another is​ 00, and the others are numbered 1 through 30​, respectively.

You are placing a bet that the outcome is an odd number.​ (In roulette, 0 and 00 are neither odd nor​ even.) a. What is your probability of​ winning? The probability of winning is StartFraction 15 Over 32 EndFraction . ​(Type an integer or a simplified​ fraction.) b. What are the actual odds against​ winning? The actual odds against winning are
Mathematics
1 answer:
RUDIKE [14]3 years ago
5 0

Answer:

(a)\dfrac{15}{32}

(b) 17:15

Step-by-step explanation:

(a)

The roulette wheel has 32 slots (inclusive of 0 and 00)

Number of Odd Numbers between 1 to 30 =15

Since you are placing a bet that the outcome is an odd number.

P(\text{Winning})=\dfrac{\text{Number of Odd Numbers}}{\text{Total Number of Slots}} \\=\dfrac{15}{32}

(b) The actual odds against​ winning

\text{Actual Odds against Winning})=\dfrac{32-15}{15}\\=\dfrac{17}{15}

Therefore, the actual odds against​ winning are 17:15

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The weight of adults Male beagles are normally distributed, with a mean of 25 pounds and a standard deviation of 4 pounds.
a_sh-v [17]

Answer:

There is a 95.6% chance that the weight will fall within this range.

Step-by-step explanation:

This is because the extremes that are given are roughly two standard deviations from the mean. To be outside of that, there is only 2.2% likelihood to be higher and another 2.2% to be lower. When we subtract these two from 100%, we get our probability.

100% - 2.2% - 2.2% = 95.6%

6 0
3 years ago
A 20 ft flag pole casts a shadow 32 ft long. What is the angle of elevation of the sun?
Nookie1986 [14]

Answer:

<em>The angle of elevation of the sun is 32°</em>

Step-by-step explanation:

<u>Right Triangles</u>

The flagpole and the ground form a right angle (90°). In triangles with right angles, the trigonometric ratios are satisfied.

Each acute angle has an adjacent leg and an opposite leg. The tangent ratio relates to both legs.

\displaystyle \tan x=\frac{\text{opposite leg}}{\text{adjacent leg}}

The opposite leg to angle x is 20 ft and the adjacent leg is 32 ft, thus:

\displaystyle \tan x=\frac{20}{32}=0.625

Calculate x by using the inverse tangent:

x=\arctan 0.625

x=32^\circ

The angle of elevation of the sun is 32°

7 0
3 years ago
What is 43.78 in word form
KengaRu [80]
43.78 = forty three and seventy eight hundredths.
8 0
3 years ago
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Mark has $16 to buy lunch for himself and his sister. He wants to buy at least one sandwich and one bag of chips. Sandwiches cos
faltersainse [42]

Answer:

Victor runs a small sandwich shop. He decides to start offering bags of chips to his customers. He finds a supplier where he can buy chips for $0.30 per bag. Victor needs to determine how much to charge for the chips at his shop. He does some research by talking to other nearby sandwich shop owners. The table below shows their sales per week for two different prices. (The values are: 150 bags sold, for $1.00 per bag, and 350 bags sold, for $0.50 per bag.) Victor believes that there is a linear relationship between the number of bags sold and the price. Victor wants to price the bags of chips so that he will maximize his profits. Determine the price Victor should charge for a bag of chips. Use the equation P(x)=R(x)-C(x), where P(x) represents profit, R(x) represents revenue, and C(x) represents cost. Each is a function of the number of bags of chips sold, x. Round your answer to the nearest nickel.

Step-by-step explanation:

Victor runs a small sandwich shop. He decides to start offering bags of chips to his customers. He finds a supplier where he can buy chips for $0.30 per bag. Victor needs to determine how much to charge for the chips at his shop. He does some research by talking to other nearby sandwich shop owners. The table below shows their sales per week for two different prices. (The values are: 150 bags sold, for $1.00 per bag, and 350 bags sold, for $0.50 per bag.) Victor believes that there is a linear relationship between the number of bags sold and the price. Victor wants to price the bags of chips so that he will maximize his profits. Determine the price Victor should charge for a bag of chips. Use the equation P(x)=R(x)-C(x), where P(x) represents profit, R(x) represents revenue, and C(x) represents cost. Each is a function of the number of bags of chips sold, x. Round your answer to the nearest nickel.

4 0
2 years ago
Solve the system of equations below by graphing.
AleksandrR [38]
I think it would be B hope it helps
5 0
3 years ago
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