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3 years ago

A. two column proof b. two-paragraph proof c. flowchart proof d. one-paragraph proof

Mathematics

1 answer:

Natasha2012 [34]3 years ago

3 0

Answer:

a. two column proof

Step-by-step explanation:

This is a two column proof, for 2 columns are given to you.

One column is the "Statements" column, which lists everything in mathematical terms.

The other column is the "Reasons" column, which lists everything by definition (either Theorem, Postulate, or Definition).

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Kelsey makes pendants that she would like to sell at an upcoming craft fair. She must pay $200 to rent a booth at the craft fair

lubasha [3.4K]

Answer:

Additional 26 pendants are to be sold to make profit.

Step-by-step explanation:

Rent of booth at the craft fair = $200

Cost of material for each pendant = $7.80

Let Kelsey makes $x$ number of pendants.

To calculate the total spending, we have to add the rent of booth at the craft fair and cost of material for $x$ number of pendants.

Cost of material for $x$ number of pendants = Cost of material for each pendant multiplied by number of pendants

Cost of material for $x$ number of pendants = $7.80 $\times$ $x$

So, total cost = $200 + $7.80 $\times$ $x$

Now, each pendant is sold at $13.50

So, total money made by selling $x$ pendants = $13.50 $\times$ $x$

For making profit, total money made must be greater than the total cost.

Therefore, the inequality becomes:

$\bold{13.50 \times x > 200+7.80\times x }$

Let us solve the inequality now:

$13.50x - 7.80x>200\\\Rightarrow 5.7x > 200\\\Rightarrow \bold{x > 35.08}$

So, at least 36 pendants are to be sold to make a profit.

Additional 36-10 = 26 pendants are to be sold to make profit.

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3 years ago

As the number of degrees of freedom for a t distribution increases. True or False

valkas [14]

Answer:

t distribution behaves like standard normal distribution as the number of freedom increases.

Step-by-step explanation:

The question is missing. I will give a general information on t distribution.

t-distribution is used instead of normal distribution when the sample size is small (usually smaller than 30) or population standard deviation is unknown.

Degrees of freedom is the number of values in a sample that are free to vary. As the number of degrees of freedom for a t-distribution increases, the distribution looks more like normal distribution and follows the same characteristics.

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Answer:

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Step-by-step explanation:

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Answer:

6..........................

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