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sergey [27]
3 years ago
15

Olivia has $240 in her bank account. Each month, her bank deducts a $12.50 fee for maintaining a balance below $250. If Olivia m

akes no other deposits or withdrawals, how much money will be in her account at the end of five months.
Mathematics
2 answers:
Vikentia [17]3 years ago
8 0
Olivia will have $177.50 in the end of five months after all fees.
lukranit [14]3 years ago
5 0
Let's find the equatio first to represent this problem.
240-12.50x=y
X is the number of months, and y is the remaining amount of money in her account. We're are looking for 5 months, so let's plug in 5 for x.
240-12.50(5)=y
240-62.5=y
177.50=y
Olivia will have $177.50 at the end of five months.
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Answer:

True

Step-by-step explanation:

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3 years ago
A rectangular patio has a length of 12 1/2 feet and an area of 103 1/8 square feet. What is the width of the patio?
Rina8888 [55]
Length of the rectangular patio = 12 1/2 feet
                                                  = 25/2 feet
Area of the rectangular patio = 103 1/8 square feet
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Let us assume the width of the rectangular patio = x feet
 Then
Area of the rectangular patio = Length * Width
825/8 = (25/2) * x
25x/2 = 825/8
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So the width of the rectangular patio is 8 1/4 feet. I hope the procedure is clear enough for you to understand.
6 0
3 years ago
10. Suppose you earn $7.25 per hour working part-time for a florist. What is the minimum number of hours you must work to earn a
UNO [17]
To make it like a simple, I'll make an equation. Let x be the number of hours because x represents unknown and we don't know the hours. Then your per hour is $7.25 right? so it would be x7.25. You want to know how many hours you will work so you can earn $125. The equation is simple as this x7.25 = 125.
All you have to do is divide the equation by 7.25 because that's your per hour.
It will look like this, <u>x7.25</u> = <u>125</u>   then the answer would be 17.24 hours. 
                                   7.25   7.25
5 0
3 years ago
A recent study found that 51 children who watched a commercial for Walker Crisps (potato chips) featuring a long-standing sports
hichkok12 [17]

Answer:

1

The claim is that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

2

The kind of test to use is a t -test because a t -test is used to check if there is a difference between means of a population

3

t  =  3.054

4

The p-value  is   p-value  =  P(Z >  3.054) = 0.0011291

5

The conclusion is  

There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

The test statistics is  

Step-by-step explanation:

From the question we are told that

   The first sample size is  n_1  =  51

    The first sample  mean is \mu_1  =  36

    The second sample size is  n_2  =  41

    The second sample  size is  \mu_2  =  25

     The first standard deviation is  \sigma _1  =  21.4 \  g

    The second standard deviation is  \sigma _2  =  12.8 \  g

  The  level of significance is  \alpha =  0.05

The  null hypothesis is  H_o  :  \mu_1 = \mu_ 2

The  alternative hypothesis is  H_a :  \mu_1 > \mu_2

Generally the test statistics is mathematically represented as

    t  =  \frac{\= x_1 - \= x_2}{ \sqrt{ \frac{s_1^2}{n_1}  + \frac{s_2^2}{n_2}  } }

=>   t  =  \frac{ 36 - 25}{ \sqrt{ \frac{ 21.4^2}{51}  + \frac{ 12.8^2}{41}  } }

=> t  =  3.054

The  p-value is mathematically represented as

     p-value  =  P(Z >  3.054)

Generally from the z table  

             P(Z >  3.054) =  0.0011291

=>   p-value  =  P(Z >  3.054) = 0.0011291

From the values obtained  we see that p-value  < \alpha so  the null hypothesis is rejected

Thus the conclusion is  

  There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

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