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LuckyWell [14K]
3 years ago
5

You have money in your wallet, but you don't know the exact amount. When a friend asks you, you say that you have 100 dollars gi

ve or take 25. Write an inequality to describe the amount of money in your wallet.
Mathematics
1 answer:
Flauer [41]3 years ago
6 0

Answer: 75 < x < 125.

Step-by-step explanation:

Let x be the amount of money in your wallet.  

The phrase "100 dollars give or take 25" means wallet can have money between (100-25) dollars and (100+25) dollars.

i.e. 100-25 < x < 100+25

⇒ 75 < x < 125.

That means the amount of money in your wallet lies between 75 dollars and 125 dollars.

Hence, the inequality to describe the amount of money in your wallet is 75 < x < 125.

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kozerog [31]

Answer:

test? :/

Step-by-step explanation:

6 0
3 years ago
What is the standard deviation of this data set? Use a calculator to help you.
ale4655 [162]

Answer:

Standard deviation = 14.064

Step-by-step explanation:

We are given the following data;

        X                          X - Xbar                  (X-Xbar)^{2}

       20                     20 - 46 = -26                    676

       23                     23 - 46 = - 23                    529

       32                     32 - 46 = -14                      196

       36                     36 - 46 = -10                      100

       41                      41 - 46 = -5                         25

       43                     43 - 46 = -3                          9

       44                     44 - 46 = -2                          4

       45                     45 - 46 = -1                           1

       47                      47 - 46 = 1                            1

       54                      54 - 46 = 8                        64

       55                      55 - 46 = 9                        81

      59                       59 - 46 = 13                      169

       61                       61 - 46 = 15                       225

       63                       63 - 46 = 17                      289

       66                       66 - 46 = 20                <u>     400    </u>    

                                                    \sum(X-Xbar)^{2} <u>= 2769 </u>

Firstly we will calculate Mean, Xbar = \frac{\sum X}{n}

  Xbar = \frac{20+ 23+ 32+ 36+ 41+ 43+ 44+ 45+ 47+ 54+ 55+ 59+ 61+ 63+ 66}{15} = 45.93 ≈ 46

Now, Standard deviation formula is given by;

                   s = \sqrt{\frac{ \sum(X-Xbar)^{2}}{n-1}} = \sqrt{\frac{ 2769}{15-1}} = 14.064 .

7 0
3 years ago
14=3/8 find the quotient
ANTONII [103]

Answer:

The equation is always false

Step-by-step explanation:

5 0
3 years ago
What is the interquartile range of the numbers 9, 28, 16, 2, 33, 6, 10
Mumz [18]

Answer:

IQR = 22

Step-by-step explanation:

IQR Formula:

IQR = Q3 - Q1

In order you find Q3 and Q1, please follow these steps:

1. First, you need to order the list of numbers from least to greatest:

2, 6, 9, 10, 16, 28, 33

2. Then, you need to find the median, or the middle number.

2, 6, 9, 10, 16, 28, 33

3. In order to find IQR, you must find the first and third quartiles.

2, 6, 9, 10, 16, 28, 33

Q1 = 6

Q3 = 28

This is because 6 basically means that all the numbers leading to 6 would account for 25% of the data while all the numbers leading to 28 would account for 75% of the data, hence why these are called quartiles.

Now since you have Q1 and Q3, you follow the formula.

28 - 6 = 22

IQR = 22

6 0
3 years ago
Complete the recursive formula of the geometric sequence 16\,,\,3.2\,,\,0.64\,,\,0.128,...16,3.2,0.64,0.128,
Nastasia [14]

Answer:

a_{n+1}=0.2a_n for all n>0, a_1=16

Step-by-step explanation:

Let \{a_n\}=\{16,3.2,0.64,0.128,\cdots \} be the sequence described.

A geometric sequence has the following property: there exists some r (the ratio of the sequence) such that \frac{a_{n+1}}{a_n}=r forr all n>0.

To find r, note that

\frac{3.2}{16}=\frac{32}{10(16)}=\frac{2}{10}=\frac{1}{5}=0.2

Similarly

\frac{0.64}{3.2}=\frac{64}{10(32)}=\frac{1}{5}=0.2

\frac{0.128}{0.64}=\frac{1}{5}=0.2

Thus a_{n+1}=r a_n=\frac{a_n}{5}=0.2a_n for all n>0, and a_1=16

3 0
3 years ago
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