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3 years ago

14

Justin is saving money for a new gaming console. He currently has $200 in a saving account and each week $10 to his balance. In

how many weeks will he have $500?

1 answer:

Nikitich [7]3 years ago

8 0

$500 - $200 = $300 dollars left.

$300 divided by $10 = 30 weeks.

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A football team has a probability of .75 of winning when playing any of the other four teams in its conference. If the games are

Alexeev081 [22]

Answer:

0.3164 = 31.64% probability the team wins all its conference games

Step-by-step explanation:

For each conference game, there are only two possible outcomes. Either the team wins it, or they lose. The probability of winning a game is independent of any other game. This means that the binomial probability distribution is used 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 football team has a probability of .75 of winning when playing any of the other four teams in its conference.

The probability means that $p = 0.75$ , and four games means that $n = 4$

If the games are independent, what is the probability the team wins all its conference games?

This is P(X = 4). So

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

$P(X = 4) = C_{4,4}.(0.75)^{4}.(0.25)^{0} = 0.3164$

0.3164 = 31.64% probability the team wins all its conference games

4 0

3 years ago

Explain the difference between four times the sum of X and Y and the sum of four times X and Y

tester [92]

Answer:

Condition 1:

four times the sum of X and Y = 4(X + Y)

Condition 2:

the sum of four times X and Y= 4X + Y

Difference:

In condition 1, both the variables are first added and then multiplied by four. This can be simplified as:

4X +4Y

I condition 2, only the variable X is multiplied with 4 and then added to Y.

Conclusion:

With positive integers, condition 1 will always give a greater value.

With negative integers, condition 2 will have greater value.

I hope it will help you!

6 0

3 years ago

Is 4, 8, 12, 16, 20 a Linear Sequence or Exponential Sequence?

RideAnS [48]

Answer:

linear sequence

Step-by-step explanation:

because the numbers have a common difference

5 0

3 years ago

Kenny’s height is 1 meter 75 centimeters. How tall is Kenny in millimeters? REMEMBER: 1 meter = 100 centimeters : 1 centimeter =

Serga [27]

If I did the math right the answer should be 1,750

6 0

3 years ago

Read 2 more answers

the ratio of red marbles to yellow marbles placed in a bag is 2:7. More marbles are added to the bag: 3 red and 3 yellow marbles

Anvisha [2.4K]

Answer: False.

Step-by-step explanation:

Initially, the ratio is 2:7

This means that if we have 2 red marbles, we must have 7 yellow ones.

The quotient here is 7/2 = 3.5

Now, if you add 3 marbles of each colour, then we have:

2 + 3 = 5 red marbles

7 + 3 = 10 yellow marbles.

Now the ratio is 5:10

This means that for every 5 red marbles, we have 10 yellow ones.

But now we can divide both numbers by the same positive integer, because they have a common factor equal to 5.

5/5 = 1

10/5 = 2

Then we have:

5:10 = 1:2

So the new ratio is 1:2

Then the ratio changed when we added the new marbles, which means that Maria was wrong.

8 0

2 years ago