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2 years ago

What is the mathematical reasoning for Step 3?

Mathematics

1 answer:

Colt1911 [192]2 years ago

4 0

Based on the operation in step 3, the mathematical reasoning that we see is the Associative property.

<h3 /><h3>What is the reasoning in step 3?</h3>

Step 2 was:

= 3/4x (-8x) + (3/4x) (6)

Step 3 then became:

3/4 x (-8) × x × x + 3/4 x 6x

This shows the associative property because the numbers were regrouped but because they are being multiplied by each other, the result will not change.

Find out more on the associative property at brainly.com/question/13181.

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At a peanut butter factory, the daily production cost, C, for j jars of peanut butter is modeled by the graph below. What are th

Alexeev081 [22]

1) The graph

The corresponding graph shows a growing curve, its shape is kind of the right half of a parabola that opens upward and starts at the point (0, 2500).

The vertical axis corresponds to C(j), it contains divisions of 2500 units, and are marked 2500, 5000, 7500, 10000, 12500, 15000 and 17500.

The horizontal axis corresponds to j, and the marks are 75, 150, 225, 300, 375, and 450.

2) Domain

Domain is the set of possible values for the independent variable, which is placed on the horizontal axis. This is the possible values of j.

They are all the positive numbers and zero, the the domain is:

All real numbers, j, such that j ≥ 0

3) Range

Range is the set of possible images (dependent variable); this is the possible values of C(j).

As you can see on the graph C(j) ≥ 2500

Then, the range is [2500, ∞).

3 0

3 years ago

Read 2 more answers

Explain how to use absolute value to add -8 + 12

KIM [24]

Answer:

-8+12=4 is the correct answer

Thank you

6 0

2 years ago

Read 2 more answers

Approximate the real zeros of f(x)= 2x^3 - 4x^2 - 3 to the nearest tenth.

Scrat [10]

Answer:

b.2.3

Step-by-step explanation:

f(x)= 2x^3 - 4x^2 - 3

see graph below

only x intercept is 2.287

6 0

3 years ago

) One year, professional sports players salaries averaged $1.5 million with a standard deviation of $0.9 million. Suppose a samp

Nutka1998 [239]

Answer:

Probability that the average salary of the 400 players exceeded $1.1 million is 0.99999.

Step-by-step explanation:

We are given that one year, professional sports players salaries averaged $1.5 million with a standard deviation of $0.9 million.

Suppose a sample of 400 major league players was taken.

<em>Let </em> $\bar X$ <em> = sample average salary</em>

The z-score probability distribution for sample mean is given by;

Z = $\frac{ \bar X -\mu}{{\frac{\sigma}{\sqrt{n} } }} }$ ~ N(0,1)

where, $\mu$ = mean salary = $1.5 million

$\sigma$ = standard deviation = $0.9 million

n = sample of players = 400

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the average salary of the 400 players exceeded $1.1 million is given by = P( $\bar X$ > $1.1 million)

P( $\bar X$ > $1.1 million) = P( $\frac{ \bar X -\mu}{{\frac{\sigma}{\sqrt{n} } }} }$ > $\frac{ 1.1-1.5}{{\frac{0.9}{\sqrt{400} } }} }$ ) = P(Z > -8.89) = P(Z < 8.89)

<em>Now, in the z table the maximum value of which probability area is given is for critical value of x = 4.40 as 0.99999. So, we can assume that the above probability also has an area of 0.99999 or nearly close to 1.</em>

Therefore, probability that the average salary of the 400 players exceeded $1.1 million is 0.99999.

4 0

3 years ago

Enter the correct answer pls help

Phoenix [80]

Answer:

$\huge\boxed{\sf x = 8a}$

Step-by-step explanation:

$\sf \frac{3}{a} x - 4 = 20\\\\Add \ 4 \ to \ both \ sides\\\\\frac{3}{a} x = 20+4\\\\\frac{3}{a} x = 24\\\\Multiply \ both \ sides \ by \ a\\\\3x = 24 * a\\\\Divide \ 3 \ to \ both \ sides\\\\x = 24a / 3\\\\x = 8a\\\\\rule[225]{225}{2}$

Hope this helped!

4 0

3 years ago