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emmasim [6.3K]
2 years ago
12

Game 1 gives you 200 points every time you score. Game 2 doubles your points every time you score (2, 4, 8, and so on). In which

game do you think you will you earn more points?
Mathematics
1 answer:
nignag [31]2 years ago
6 0
Its depends on how many times you score during the game 

in second game the number of points increases  as a geometric sequence
with common ratio 2

so for example if you score ten times in first game you get 2000 points


if you score 10 times in Game 2 you score   2 * (2^10) - 1  =  2046 points

so playing 10 or more games  is best with Game 2.  Any less plays favours gane 1.

You might be interested in
Which is the graph of the linear inequality 2x – 3y < 12? On a coordinate plane, a solid straight line has a positive slope a
RoseWind [281]

Answer:

A dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.

Step-by-step explanation:

To graph the solution set of the inequality 2x - 3y < 12, first plot the dashed line 2x - 3y = 12 (dashed because the inequality has sign < without notion "or equal to"). This line passes through the points (0,-4) and (3,-2) (their coordinates satisfy the equation of the line). this line has positive slope because

3y=2x-12\\ \\y=\dfrac{2}{3}x-4

and the slope of the line is 2/3.

Now, identify where the origin is (in the region or outside the region). Substitute (0,0) into the inequality:

2\cdot 0-3\cdot 0=0

This means coordinates of the origin satisfy the inequality, so origin belongs to the shaded region. Thus, shade that part which contains origin.

6 0
1 year ago
Read 2 more answers
The health benefits Tom receives from his employer cover 43% of the total monthly premium of $345.00. How much does Tom have to
Elza [17]

Answer:

The Amount tom has to pay is $196.65 therefore, Option b is correct

Step-by-step explanation:

Tom recieves 43% of total monthly premium

That means out of 100%  he is getting 43% he has to pay (100%-43%)= 57% of $345.00

The amount Tom has to pay each month is 57\%\cdot 345.00 it will become .57 \cdot 345.00=196.65

57\%=\frac{57}{100}=.57

Therefore,The Amount tom has to pay is $196.65 that is option b is correct


5 0
1 year ago
Read 2 more answers
Meeting at least one person with the flu in thirteen random encounters on campus when the infection rate is 2% (2 in 100 people
s344n2d4d5 [400]

Answer:

23.1% probability of meeting at least one person with the flu

Step-by-step explanation:

For each encounter, there are only two possible outcomes. Either the person has the flu, or the person does not. The probability of a person having the flu is independent of any other person. 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.

Infection rate of 2%

This means that p = 0.02

Thirteen random encounters

This means that n = 13

Probability of meeting at least one person with the flu

Either you meet none, or you meet at least one. The sum of the probabilities of these outcomes is 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1). Then

P(X \geq 1) = 1 - P(X = 0)

In which

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

P(X = 0) = C_{13,0}.(0.02)^{0}.(0.98)^{13} = 0.7690

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.769 = 0.231

23.1% probability of meeting at least one person with the flu

6 0
1 year ago
Imagine you have a data set with 9,987 names. The data set is sorted alphabetically. You want to find out if the name "David Joy
REY [17]

Answer:

  1

Step-by-step explanation:

David Joyner might be the first name, so you may only have to check 1 name.

6 0
1 year ago
Whats another way to write 300 70 5/10 8/100?
Aloiza [94]
I don't understand what you mean by 300 and 70, unless you meant 300/70 (in that case it would be 30/7). 


5/10 would be 1/5


8/100 would be 2/25.
8 0
2 years ago
Read 2 more answers
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