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scZoUnD [109]
3 years ago
7

Mike has a net spendable income of $1,400. He decides to set up a budget before looking for an apartment or a car. He sets up hi

s budget and finds that he has lots of money left over. He puts the extra money into entertainment.
Housing $420
Food $168
Transportation $210
Insurances $42
Debts $70
Entertainment $224
Clothing $70
Savings $70
Medical $56
Miscellaneous $70
Why might this budget be a problem?


A.) Mike will spend more money than he is earning.

B.) Mike does not have enough money budgeted for food or medical expenses.

C.) Mike is using the minimum recommended percentages for food, housing, and transportation. The costs are likely to exceed the expenses in each category.

D.) Mike has not budgeted all of his money. He will find that he has extra money at the end of the month, which will end up being wasted.
Mathematics
2 answers:
Shtirlitz [24]3 years ago
7 0

C.) Mike is using the minimum recommended percentages for food, housing, and transportation. The costs are likely to exceed the expenses in each category.


Triss [41]3 years ago
5 0

Answer:

Option C is the answer.

Step-by-step explanation:

Mike has a net spendable income of $1,400.

His total budget is :

Housing =$420

Food=$168

Transportation=$210

Insurances=$42

Debts=$70

Entertainment=$224

Clothing=$70

Savings=$70

Medical=$56

Miscellaneous=$70

420+168+210+42+70+224+70+70+56+70=1400

So, out of all the given options, the correct one seems to be :

Mike is using the minimum recommended percentages for food, housing, and transportation. The costs are likely to exceed the expenses in each category.

Therefore, we can say that Mike should budget properly as he is spending more on entertainment, rather than more important categories.

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The amount of money spent on textbooks per year for students is approximately normal.
Ostrovityanka [42]

Answer:a

a

   336.04    <  \mu < 443.96

b

  The  margin of error will increase

c

The  margin of error will decreases

d

The 99% confidence interval is  0.4107 <  p  < 0.4293

Step-by-step explanation:

From the question we are  told that

   The sample size  n =  19

    The sample mean is  \= x  = \$\  390

    The  standard deviation is  \sigma =  \$ \  120

 

Given that the confidence level is  95% then the level of significance is mathematically represented as

           \alpha = 100 -  95

          \alpha  =  5 \%

          \alpha  =  0.05

Next we obtain the critical value of \frac{\alpha }{2} from the normal distribution table

    So  

         Z_{\frac{\alpha }{2} } =  1.96

The  margin of error is mathematically represented as

      E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma}{\sqrt{n} }

=>    E = 1.96 *  \frac{120}{\sqrt{19} }

=>   E = 53.96

The 95% confidence interval is  

     \= x  -  E  <  \mu < \= x  +  E

=>   390  -   53.96   <  \mu < 390  -   53.96

=>  336.04    <  \mu < 443.96

When the confidence level increases the Z_{\frac{\alpha }{2} } also increases which increases the margin of error hence the confidence level becomes wider

Generally the sample size mathematically varies with margin of error as follows

         n  \  \ \alpha  \ \  \frac{1}{E^2 }

So if the sample size increases the margin of error decrease

The  sample proportion is mathematically represented as

       \r p  =  \frac{210}{500}

       \r p  = 0.42

Given that the confidence level is 0.99 the level of significance is  \alpha =  0.01

The critical value of \frac{\alpha }{2} from the normal distribution table is  

      Z_{\frac{\alpha }{2} }  =  2.58

  Generally the margin of error is mathematically represented as

       E =  Z_{\frac{\alpha }{2} }*  \sqrt{ \frac{\r p (1- \r p )}{n} }

=>   E =  0.42 *  \sqrt{ \frac{0.42 (1- 0.42 )}{ 500} }

=>     E =  0.0093

The 99% confidence interval  is

     \r p  -  E <  p  < \r p  +  E

     0.42  -  0.0093 <  p  < 0.42  +  0.0093

     0.4107 <  p  < 0.4293

 

4 0
3 years ago
Please help guys!!!!!!!!!!!!!!
hram777 [196]

Answer:

a) x = -10

b) x = 7

Step-by-step explanation:

a)

2(x + 3) = x - 4

2x + 6 = x - 4

2x - x = -4 - 6

x = -10

b)

4(5x - 2) = 2(9x + 3)

20x - 8 = 18x + 6

20x - 18x = 6 + 8

2x = 14

x = 7

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Answer:

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Step-by-step explanation:

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For a family party, Tanisha made 2/5 of the dessert. If a total of 40 dessert were brought to the party, how many did Tanisha su
Pavel [41]
16 desserts 8+8+8+8+8= 40 so 2/5 of 40 is 16 
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A line, y = mx +b, passes through the point (2,3) and is parallel to y = 2x + 3. What is the value of
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Answer:

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Step-by-step explanation:

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