Ask question

Ask question

All categories

aleksklad [387]

3 years ago

6

Yesterday you borrowed $60 from your brother. Every day that you don't pay it back, you owe $2.00 more. So today, day one, you o

we him $62.00, on day two you will owe him $64.00, on day three you will owe him $66.00, etc. If you still haven't paid him back, how much will you owe him on day 25?

1 answer:

Mariulka [41]3 years ago

6 0

Answer:

110 dollars.

Step-by-step explanation:

Since every day you owe him 2 dollars more, and its been 25 days, 25 x 2 is 50.

You originally owed him 60, and 50 dollars in late fees, so 60 + 50 = 110.

You owe him 110 dollars.

You might be interested in

I need help pls thank y

otez555 [7]

What do you need help with

5 0

3 years ago

It 3x - 2 = 7, then 3x = 9<br> is an example of the ?

vova2212 [387]

Answer:

Addition Property of Equality

Step-by-step explanation:

So we had:

$3x-2=7$

And then we got:

$3x=9$

We did this by adding 2 to both sides of the equation. When we added 2, the left side cancelled and the right side equated to 9:

$(3x-2)+2=(7)+2\\3x=9$

Since we added 2 to both sides, this is an example of the addition property of equality.

3 0

3 years ago

Someone plz help me 1-1\2c=6

GarryVolchara [31]

1 - 1/2c = 6

1 -1 - 1/2c = 6 -1 (subtract 1 on both sides)

-1/2c = 5 (next do the inverse operation)

c = 5 ÷ 1/2

c = -10

to check your answer substitute the value of c in the equation;

1- 1/2c = 6

1- 1/2(-10) = 6

1 + 5 = 6

6 =6

6 0

3 years ago

If you know the length of the side of the square, how can you figure out the area?

KengaRu [80]

Answer:

By multiplying

If the sides were 5 then you would do 5x5 to get the area

Hope this makes sense :)

8 0

3 years ago

The Slow Ball Challenge or The Fast Ball Challenge.

cupoosta [38]

Answer:

Fast ball challenge

Step-by-step explanation:

Given

Slow Ball Challenge

$Pitches = 7$

$P(Hit) = 80\%$

$Win = \$60$

$Lost = \$10$

Fast Ball Challenge

$Pitches = 3$

$P(Hit) = 70\%$

$Win = \$60$

$Lost = \$10$

Required

Which should he choose?

To do this, we simply calculate the expected earnings of both.

Considering the slow ball challenge

First, we calculate the binomial probability that he hits all 7 pitches

$P(x) =^nC_x * p^x * (1 - p)^{n - x}$

Where

$n = 7$ --- pitches

$x = 7$ --- all hits

$p = 80\% = 0.80$ --- probability of hit

So, we have:

$P(x) =^nC_x * p^x * (1 - p)^{n - x}$

$P(7) =^7C_7 * 0.80^7 * (1 - 0.80)^{7 - 7}$

$P(7) =1 * 0.80^7 * (1 - 0.80)^0$

$P(7) =1 * 0.80^7 * 0.20^0$

Using a calculator:

$P(7) =0.2097152$ --- This is the probability that he wins

i.e.

$P(Win) =0.2097152$

The probability that he lose is:

$P(Lose) = 1 - P(Win)$ ---- Complement rule

$P(Lose) = 1 -0.2097152$

$P(Lose) = 0.7902848$

The expected value is then calculated as:

$Expected = P(Win) * Win + P(Lose) * Lose$

$Expected = 0.2097152 * \$60 + 0.7902848 * \$10$

Using a calculator, we have:

$Expected = \$20.48576$

Considering the fast ball challenge

First, we calculate the binomial probability that he hits all 3 pitches

$P(x) =^nC_x * p^x * (1 - p)^{n - x}$

Where

$n = 3$ --- pitches

$x = 3$ --- all hits

$p = 70\% = 0.70$ --- probability of hit

So, we have:

$P(3) =^3C_3 * 0.70^3 * (1 - 0.70)^{3 - 3}$

$P(3) =1 * 0.70^3 * (1 - 0.70)^0$

$P(3) =1 * 0.70^3 * 0.30^0$

Using a calculator:

$P(3) =0.343$ --- This is the probability that he wins

i.e.

$P(Win) =0.343$

The probability that he lose is:

$P(Lose) = 1 - P(Win)$ ---- Complement rule

$P(Lose) = 1 - 0.343$

$P(Lose) = 0.657$

The expected value is then calculated as:

$Expected = P(Win) * Win + P(Lose) * Lose$

$Expected = 0.343 * \$60 + 0.657 * \$10$

Using a calculator, we have:

$Expected = \$27.15$

So, we have:

$Expected = \$20.48576$ -- Slow ball

$Expected = \$27.15$ --- Fast ball

<em>The expected earnings of the fast ball challenge is greater than that of the slow ball. Hence, he should choose the fast ball challenge.</em>

5 0

3 years ago