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tino4ka555 [31]
3 years ago
6

Ralph is purchasing a new gaming system for $300.00. He is trying to decide whether he wants to use cash or his credit card to p

ay. He has $600.00 available in his checking account. Which of the following is not an argument that justifies Ralph's use of his cash to purchase the gaming system? a. Using cash can help Ralph improve his credit score. b. Using cash may limit overspending or impulse buying. c. Cash doesn't come with any potential "over limit" or "late payment" fees. d. Cash will be the easiest method of payment with very few security measures involved.
Mathematics
2 answers:
ra1l [238]3 years ago
6 0

Using cash can help Ralph improve his credit score is just untrue in so many ways.


The answer is choice A because the statement does not justify Ralph's use of cash.

timurjin [86]3 years ago
6 0

Ralph is purchasing a new gaming system for $300.00. He is trying to decide whether he wants to use cash or his credit card to pay. He has $600.00 available in his checking account.

The following statement is not an argument that justifies Ralph's use of his cash to purchase the gaming system-

Using cash can help Ralph improve his credit score.

An argument can be defined as a reason or set of reasons given with the aim of persuading others that an action or idea is right or wrong.

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Answer:

x = 4√5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Trigonometry</u>

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

  • a is a leg
  • b is another leg
  • c is the hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

Leg <em>a</em> = 8

Leg <em>b</em> = 4

Hypotenuse <em>c</em> = <em>x</em>

<em />

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [Pythagorean Theorem]:                                            8² + 4² = x²
  2. Evaluate exponents:                                                                                         64 + 16 = x²
  3. Add:                                                                                                                   80 = x²
  4. [Equality Property] Square root both sides:                                                    √80 = x
  5. Rewrite:                                                                                                             x = √80
  6. Simplify:                                                                                                             x = 4√5
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3 years ago
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brilliants [131]

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Step-by-step explanation:

8 0
3 years ago
Although companies would like consumers to believe that Identity theft protection is an
stiks02 [169]

The obtained answers for the given frequency distribution are:

(a) The formula for the mean in sigma notation is \bar x =\frac{1}{n}  \sum X_i where n is the number of observations; X_i are the n observations.

The mean for the given monthly plan price is $16.1.

(b) The frequency distribution for given data is {$9.99 - 2; $10 - 5; $12 - 1; $12.75 - 2; $14.99 - 6; $20 - 4; $25 - 5}

(c) The formula for the mean using the frequency distribution table is \bar x = \frac{1}{N}\sum f_ix_i where N =\sum f_i and on applying this formula for the given data, the mean is $16.1.

(d) The median for the given data is m_e = 14.99, and the mode for the given data is $14.99

<h3>What are the mean, median, and mode for a frequency distribution?</h3>

The frequency distribution has sample observations x_i and frequencies f_i.

Then, the mean is calculated by

\bar x = \frac{1}{N}\sum f_ix_i

Where N =\sum f_i (Sum of frequencies)

The median is calculated by

m_e=\left \{ {{x_{k}} \ if \ n = 2k+1 \atop {\frac{x_{k}+x_{k+1}}{2}} \ if \ n =2k} \right.

The mode is calculated by

Mode = highest frequency value

<h3>Calculation:</h3>

The given list of data is

{$14.99, $12.75, $14.99, $14.99, $9.99, $25, $25, $10, $14.99, $10, $20, $10, $20, $14.99, $10, $25, $20, $12, $14.99, $25, $25, $20, $12.75, $10, $9.99}

(a) Formula for the mean using sigma notation and use it to calculate the mean:

The formula for the mean is

\bar x =\frac{1}{n}  \sum X_i

Where n = 25; X_i - n observations

On substituting,

Mean \bar x

=1/25(14.99+12.75+14.99+14.99+9.99+25+25+10+14.99+10+20+10+20+14.99+10+25+20+12+14.99+25+25+20+12.75+10+9.99)

= 1/25(402.42)

= 16.09 ≅ 16.1

(b) Constructing a frequency distribution for the data:

Cost - frequency - cumulative frequency

$9.99 - 2 - 2

$10 - 5 - 7

$12 - 1 - 8

$12.75 - 2 - 10

$14.99 - 6 - 16

$20 - 4 - 20

$25 - 5 - 25

Sum of frequencies N = 25;

(c) Using frequency distribution, calculating the mean:

The formula for finding the mean using frequency distribution is

\bar x = \frac{1}{N}\sum f_ix_i

Where N = 25;

On substituting,

\bar x<em> </em>= 1/25 (2 × 9.99 + 5 × 10 + 1 × 12 + 2 × 12.75 + 6 × 14.99 + 4 × 20 + 5 × 25)

  = 1/25 (402.42)

  = 16.09 ≅ 16.1

Therefore, the mean is the same as the mean obtained in option (a).

(d) Calculating the median and the mode:

Since N = 25(odd) i.e., 2· 12 + 1; k = (12 + 1)th term = 13th term

So,  the median m_e = 14.99. (frequency at 13th term)

Since the highest frequency is 6 occurred by the cost is $14.99,

Mode = 14.99

Learn more about frequency distribution here:

brainly.com/question/27820465

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2 years ago
Which equation can be used to find the solution of (1/4)^y+1=64?
Ne4ueva [31]

Answer:

−y−1=3

Step-by-step explanation:

Which equation can be used to find the solution of (1/4)^y+1=64?

This can be solved by power of indices

(1/4)^(y+1)=64

(4^-1)^(y + 1)= 4^3

Note

(x^a)^b = x^ab

Hence:

4^(-1)(y + 1)= 4^3

4^-y - 1 = 4^3

Divide both sides by 4

−y−1=3

Hence, the equation that can be used to find the solution of (1/4)^y+1=64 is

−y−1=3

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3 years ago
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Translate this sentence into an equation.
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Step-by-step explanation:

"product" means multiplication. the same as "times".

so,

135 = r×9

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