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2 years ago

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Mathematics

1 answer:

Sloan [31]2 years ago

4 0

Answer:

Scenario 1: Correlation without causation

Scenario 2: Correlation with causation

Hope this helps!

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The equation of a curve is y = x³ + 4x. Show that the value of y increases when x increases. ² is a decreasing function.

belka [17]

We will see that f'(x) > 0, which means that f(x) is an increasing function.

<h3>How to prove that the function is increasing?</h3>

For any function f(x), if f'(x) > 0, then f(x) is increasing for any value of x.

Here we have the cubic function:

f(x) = x³ + 4x

If we differentiate this, we get:

f'(x) = df(x)/dx = 3x² + 4.

And notice that x² is always positive, then f'(x) > 0, which means that f(x) is an increasing function.

If you want to learn more about cubic functions:

brainly.com/question/20896994

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7 0

2 years ago

A piece of paper is 4/1000 inches thick. how many sheets of paper will it take to make a stack 1 inch high

mihalych1998 [28]

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~~

If a paper is 4/1000 inches think, how many of them will it take to equal 1000?

Well... if we take 1000 divided by 4 we get 250.

So 250 sheets of paper would be 1 inch thick...

4 0

3 years ago

Read 2 more answers

If you are given x2 + 12x + 6 + 3x + 1 what does the expression equal if x=8

zimovet [89]

Answer:

143

Step-by-step explanation:

x2 + 12x + 6 + 3x + 1

substitute

(8)2+12(8)+6 +3(8) +1

distrubute

16+96+6+24+1

add like terms

143

7 0

3 years ago

1. Dei has $10 to spend on nail polish. With

Rashid [163]

Answer:

Yes she can

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Consider rolling a fair die thrice and tossing a fair coin sixteen times. Assume that all the tosses and rolls are independent.

Trava [24]

The probability that the total number of heads in all the coin tosses equals 12 is 0.0273.

Given a fair dice and tossing a fair coin sixteen times.

We have to find the probability that the total number of heads in all the coin tosses equals 12.

The probability lies between 0 and 1.

Probabiltiy of coming head when the coin is tossed 1 time is 0.5 and probability of coming tails is also 0.5.

Let X shows the sum of heads while tossing.

P(X=12)=?

We can find the probability using binomial theorem.

= $16C_{12} (0.5)^{12} (0.5)^{2}$

We have to toss sixteen times and out of 16 times we need head 12 times.

=16!/12!4!*0.00024*0.0625

=1820*0.000015

=0.0273

Hence the probability that the total number of heads in all the coin tosses equals 12 is 0.0273.

Learn more about probability at brainly.com/question/24756209

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8 0

2 years ago