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3 years ago

What is a two column proof

Mathematics

2 answers:

Oksana_A [137]3 years ago

6 0

Answer: uses a visual representation of the logical flow of steps needed to reach a conclusion.

Step-by-step explanation:

A two column proof uses a visual representation of the logical flow of steps needed to reach a conclusion.

It is arranged into two columns named as "statement" and "reason" columns, where each statement must have valid logical and mathematical reason needed to reach the required conclusion..

The reasons in a two column proof are generally given details, vocabulary, definitions, postulates and previously proved theorems.

Hence, the correct statement is "uses a visual representation of the logical flow of steps needed to reach a conclusion."

ruslelena [56]3 years ago

3 0

A, the first choice. c doesn't say tht its in a logical flow

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A recent survey reported that small businesses spend 24 hours a week marketing their business. A local chamber of commerce claim

kakasveta [241]

Answer:

Following are the responses to the given choices:

Step-by-step explanation:

In step 1:

State the zero and alternate test hypotheses. Insert underneath.

$H_0 : \mu = 24: H_a : \mu < 24$

$H_0$ Smaller companies in their region are and they spend at least 24 hours per week on the marketing of the these companies

$H_1$ There really is no growth for smaller firms in their area because the companies spend or less 24 hours per week on marketing.

In step 2:

Each test statistics meaning is calculated. Around two decimal places for your reply.

$z=\frac{\bar{X}-\mu_{0}}{\frac{\sigma}{\sqrt{n}}}=\frac{23.2-24}{\frac{4.2}{\sqrt{88}}}=-1.787$

In step 3:

Draw a start and write the decision.

Since it is observed that $z=-1.787 < z_c=-1.64$ it is then concluded that the null hypothesis is rejected.

Consequently we consider that small companies in their field may not expand, as they spend or less 24 hours per week on marketing.

5 0

2 years ago

How do i solve this?

timofeeve [1]

(f - g)(x) = f(x) - g(x)

… = (3x² - 4) - (4x + 1)

… = 3x² - 4x - 5

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=%5Cbf%20x-17%3D-25" id="TexFormula1" title="\bf x-17=-25" alt="\bf x-17=-25" align="absmiddle"

Sonbull [250]

To solve this, add 17 to both sides:
x = -25 + 17
x = -8

5 0

3 years ago

Read 2 more answers

Ed turns 34 and deposits $100 at the end of each month in IRA that earns 9% interest p.A compounded monthly. Find how much will

pickupchik [31]

Answer:

FV= $123,879.85

Step-by-step explanation:

Giving the following information:

Montlhy deposit (A)= $100

Monthly interest rate (i)= 0.09/12= 0.0075

Number of periods (n)= 12*26= 312 months

<u>To calculate the future value, we need to use the following formula:</u>

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {100*[(1.0075^312) - 1]} / 0.0075

FV= $123,879.85

3 0

2 years ago

9/20

NISA [10]

For this case we must find the solution of the following quadratic equation:

$x ^ 2 + 5x + 7 = 0$

Where:

$a = 1\\b = 5\\c = 7$

Then, the solution is given by:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

Substituting the values:

$x = \frac {-5 \pm \sqrt {5 ^ 2-4 (1) (7)}} {2 (1)}\\x = \frac {-5 \pm \sqrt {25-28}} {2}\\x = \frac {-5 \pm \sqrt {-3}} {2}$

By definition we have: $i ^ 2 = -1$

$x = \frac {-5 \pm \sqrt {3i ^ 2}} {2}\\x = \frac {-5 \pm i \sqrt {3}} {2}$

Thus, we have two complex roots.

Answer:

The equation has no real roots.

4 0

3 years ago