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3 years ago

Which measure of central tendency is the value that appears most often in a set of data?

Mathematics

2 answers:

Scilla [17]3 years ago

6 0

Answer:

That's Correct! the value that appears the most is the Mode.

Step-by-step explanation:

34kurt3 years ago

5 0

The mode is the value that appears most often

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Write f(x)=8x^2-4x+11 in vertex form

Vlad [161]

Answer:

$f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}$

$f(x)=8(x-0.25)^{2}+10.5$

Step-by-step explanation:

we have

$f(x)=8x^{2}-4x+11$

This is a vertical parabola open upward (because the leading coefficient is positive)

The vertex is a minimum

Convert to vertex form

Factor the leading coefficient

$f(x)=8(x^{2}-\frac{1}{2}x)+11$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+11-\frac{1}{2}$

$f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+\frac{21}{2}$

Rewrite as perfect squares

$f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}$ ----> equation in vertex form

$f(x)=8(x-0.25)^{2}+10.5$

The vertex is the point (0.25,10.5)

3 0

3 years ago

Margot has 21 1/2 pounds of flour 8 pounds of butter and 18 1/2 ponds of sugar to make shortbread cookies if she makes 12 batche

adell [148]

Answer:

<em>4 pounds of ingredients are used in each batch.</em>

Step-by-step explanation:

Amount of flour = $21\frac{1}{2}pounds = \frac{43}{2}pounds$

Amount of butter = 8 pounds

Amount of sugar = $18\frac{1}{2}pounds= \frac{37}{2} pounds$

So, the <u>total amount of all ingredients</u> will be: $(\frac{43}{2}+\frac{37}{2}+8)pounds = (\frac{43+37+16}{2}) pounds= \frac{96}{2} pounds = 48 pounds$

Given that, she makes 12 batches of cookies using all the ingredients.

Thus, the amount of ingredients used in each batch $=\frac{48}{12} pounds = 4 pounds$

5 0

3 years ago

4) HELP ASAP is about cylinders and stuff and I have to wash dishes and stuff so please help me and if you can show work that wo

Nutka1998 [239]

Answer:

<h2>C. 533.8 ft. squared</h2>

Step-by-step explanation:

Depending on the Pi that you use, the answer should be fairly close, for this I used the full Pi in the equation and got about 534.07 and answer C is closest to that answer so C is the best option.

Hope this helps! Have a good day/night!

5 0

3 years ago

Read 2 more answers

Simplify using the order of operations. (2 + 1) 3 ÷ 32 = 1 3 9 2

puteri [66]

Answer: I believe the answer is 0.1875. Must be a typo here, because...

Step-by-step explanation: parentheses first. (2+1)3%32=

After parentheses are taken out. 3x3%32= No exponents, so multiply or divide, whatever comes first.

6%32 is 0.1875

5 0

3 years ago

A probability distribution is a listing of all the outcomes of an experiment and the probability associated with each outcome. T

Novosadov [1.4K]

Answer:

True.

Step-by-step explanation:

A probability distribution is a listing of all the outcomes of an experiment and the probability associated with each outcome. Probability distribution is associated with the following characteristics or properties;

1. The outcomes are mutually exclusive.

2. The list of outcomes is exhaustive, which simply means that the sum of all probabilities of the outcomes must equal one (1).

3. The probability for a particular value or outcome must be between 0 and 1.

Since a probability distribution gives the likelihood of an outcome or event, a single random variable is divided into two main categories, namely;

I. Probability density functions for continuous variables.

II. Discrete probability distributions for discrete variables.

For example, when a coin is tossed, you can only have a head or tail (H or T).

Also, when you throw a die, the only possible outcome is 1/6 and the total probability for it all must equal to one (1).

5 0

3 years ago