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Lapatulllka [165]
3 years ago
15

Blaine's take-home pay is $2,500 each month, and he has created a monthly budget to become more aware of where his money goes. H

is budget is shown below. Blaine finds that he can join a cheaper gym for $40/month, reduce his spending money to $200, and find a phone and internet package for $175. How much will these choices save him each month?
Mathematics
1 answer:
Lostsunrise [7]3 years ago
4 0

Answer:

Amount Blaine save = $250

Step-by-step explanation:

Total take home pay = $2,500

Original budget:

Rent + electricity bills = $990

Food/groceries = $525

Gas + insurance = $320

Spending money = $235

Cellphone + Internet = $250

Gym membership = $180

Total = $2,500

New budget:

Rent + electricity bills = $990

Food/groceries = $525

Gas + insurance = $320

Spending money = $200

Cellphone + Internet = $175

Gym membership = $40

Total = $2,250

How much will these choices save him each month?

Amount Blaine save = Total take home - new budget

= $2,500 - $2,250

= $250

Amount Blaine save = $250

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The missing part of the question is show in bold format.

Your teacher gives you a number cube with numbers 1-6 on its faces. You are asked to state a theoretical probability model for rolling it

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You roll it 500 times and get the following data:

Outcome 1 2 3 4 5 6

Frequency 77 92 75 90 76 90

Exercises 1–2

1. If the equality model was correct, about how many of each outcome

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2. Based on the data from the 500 rolls, how often were odd numbers observed? How often were even numbers observed?

Answer:

Step-by-step explanation:

1.

If the equally likely model was correct,  about how many of each outcome

would you expect to see if the cube is rolled 500 times.

The probability of rolling any of the numbers from 1 to 6 is  p(1/6)

The number of each of the outcomes expected to be seen in 500 rolls of the number cube is np

= 500 * \frac{1}{6}  \\ \\ = \frac{500}{6} \\ \\  = 83.333 \\ \\ \approx 83

2.  From the given data in the roll;

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= \frac{228}{500}

= 0.456

= 45.6%

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The total number of times even number were rolled = 92 + 90 + 90 = 272

Probability of an even number turning up  = \frac{ number \ of  \ required  \ outcome}{ total \  number  \ of  \ possible \ outcome}

= \frac{272}{500}

= 0.544

= 54.4%

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