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rusak2 [61]
3 years ago
8

Each day Donna and Mary toss a coin to see who buys the other person coffee ​($2.34 a​ cup). One tosses and the other calls the

outcome. If the person who calls the outcome is​ correct, the other buys the​ coffee; otherwise the caller pays. Assume that an honest coin is​ used, that Mary tosses the​ coin, and that Donna calls the outcome. Find​ Mary's expected payback. Is this a fair​ game?
Mathematics
1 answer:
netineya [11]3 years ago
7 0

Answer:

yes

Step-by-step explanation:

Each day Donna and Mary toss a coin to see who buys the other person coffee ​($2.34 a​ cup). One tosses and the other calls the outcome. If the person who calls the outcome is​ correct, the other buys the​ coffee; otherwise the caller pays. Assume that an honest coin is​ used, that Mary tosses the​ coin, and that Donna calls the outcome.

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Mr. Trager has $500.00 to spend at a bicycle store. All prices listed below include tax. . He buys a new bicycle for $273.98. .
Anon25 [30]

Answer:

2 outfits

Step-by-step explanation:

first you have the total amount of money he has.

next subtract the amount of money he spends on the new bicycle

500-273.98=226.02

next find the total cost of the 3 bicycle reflectors

7.23 times 3 = 21.69

Subtract that total from the remaining amount of money left

226.02 - 21.69 = 204.33

Then subtract the helmet from the remaining money

204.33 - 42.36 = 161.97

now divide the remaining money by 78.12 to find out how many outfits he can buy

161.97 / 78.12 = around 2.07

So the answer is he can only buy 2 outfits with the remaining money

(you can not buy 2.07 outfits)

hope this helps and was what you were looking for

3 0
3 years ago
3/5 of the 30 students are boys how many students are girls
anygoal [31]

if 3/5 are boys

1- 3/5

5/5 -3/5 = 2/5  are girls

2/5 * 30 = 60/5 = 12

12 are girls

6 0
3 years ago
Read 2 more answers
The triangular region shows the number of possible ounces of platinum, x, and the number of possible ounces of silver, y, a jewe
LiRa [457]
Below are the choices that can be found elsewhere:

A.12 oz of gold and 20 oz of silver

B.10 oz of gold and 10 oz of silver

C.16 oz of gold and 30 oz of silver

<span>D.25 oz of gold and 20 oz of silver
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4 0
3 years ago
Ava is buying paint from Amazon. Ava
irina [24]

Answer:

2.625 cups or 21 ounces

Step-by-step explanation:

Ava needs 3/4 cup of blue paint for every 1 cup of white paint. So, the ratio is 0.75 : 1.

She has 28 ounces of white paint. But, you have to convert ounces to cups.

1 cup = 8 ounces

28 ounces ÷ 8 ounces/cup = 3.5 cups

Now set up a ratio.

\frac{0.75}{1} = \frac{x}{3.5}

X (how much blue paint is needed) is over 3.5 cups (the amount of white paint she has)

Cross multiply and divide.

\frac{0.75}{1} = \frac{x}{3.5}

x = 0.75 × 3.5

x = 2.625 cups

To convert to ounces, multiply by 8.

2.625 cups × 8 ounces = 21 ounces

Therefore, Ava needs 2.625 cups or 21 ounces of blue paint.

Hope that helps.

5 0
3 years ago
16. A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours
Reika [66]

Answer:

a) 23.11% probability of making exactly four sales.

b) 1.38% probability of making no sales.

c) 16.78% probability of making exactly two sales.

d) The mean number of sales in the two-hour period is 3.6.

Step-by-step explanation:

For each phone call, there are only two possible outcomes. Either a sale is made, or it is not. The probability of a sale being made in a call is independent from other calls. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours, find:

Six calls per hour, 2 hours. So

n = 2*6 = 12

Sale on 30% of these calls, so p = 0.3

a. The probability of making exactly four sales.

This is P(X = 4).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{12,4}.(0.3)^{4}.(0.7)^{8} = 0.2311

23.11% probability of making exactly four sales.

b. The probability of making no sales.

This is P(X = 0).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138

1.38% probability of making no sales.

c. The probability of making exactly two sales.

This is P(X = 2).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678

16.78% probability of making exactly two sales.

d. The mean number of sales in the two-hour period.

The mean of the binomia distribution is

E(X) = np

So

E(X) = 12*0.3 = 3.6

The mean number of sales in the two-hour period is 3.6.

4 0
3 years ago
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