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3 years ago

The antiderivative of 5x

Mathematics

1 answer:

Anni [7]3 years ago

5 0

The antiderivate of 5x is 5x^2 / 2 .

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A company sells 14 types of crackers that they label varieties 1 through 14, based on spice level. What is the probability that

Kazeer [188]

Answer:

$P(x\le 4\ or x> 10) = \frac{4}{7}$ or $P(x\le 4\ or x> 10) = 0.5714$

Step-by-step explanation:

Given

$x = \{1,2,3,4,5,6,7,8,9,10,11,12,13,14\}$

Required

Determine $P(x\le 4\ or x> 10)$

Because the events are independent, the probability can be solved using:

$P(A\ or\ B) = P(A) + P(B)$

So, we have:

$P(x\le 4\ or x> 10) = P(x \le 4) + P(x > 10)$

When $x \le 4$ , we have: $x = \{1,2,3,4\}$

So:

$P(x \le 4) = \frac{4}{14}$

Also:

When $x > 10$ , we have: $x = \{11,12,13,14\}$

So:

$P(x>10) =\frac{4}{14}$

$P(x\le 4\ or x> 10) = P(x \le 4) + P(x > 10)$ becomes

$P(x\le 4\ or x> 10) = \frac{4}{14} + \frac{4}{14}$

$P(x\le 4\ or x> 10) = \frac{4+4}{14}$

$P(x\le 4\ or x> 10) = \frac{8}{14}$

$P(x\le 4\ or x> 10) = \frac{4}{7}$

$P(x\le 4\ or x> 10) = 0.5714$

4 0

3 years ago

The Gordon family plans to buy a TV. One TV has a purchase price of $330 and an estimated yearly operating cost of $14. The othe

anygoal [31]

They should purchase the $369 one with the $9 plan.

330 + (14x8) =442

369+ (9x8) = 441

Hope this helps!

6 0

3 years ago

Read 2 more answers

(x - 3)(x + 5) = 0<br> Solve for X

Dmitrij [34]

Answer:

x= 3,-5

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is the range of 2/(x^2-2x-3)

timama [110]

The range is going to 3

8 0

3 years ago

If f(x) = x^3 find df/dx | x= -5

asambeis [7]

Answer:

Step-by-step explanation:

So we have:

$f(x)=x^3$

Take the derivative of the function. Use the power rule, which states that:

$\frac{d}{dx}(x^n)=nx^{n-1}$

Therefore:

$\frac{d}{dx}[f(x)]=\frac{d}{dx}[x^3]$

Use power rule:

$\frac{df}{dx}=3x^2$

Now, substitute in -5:

$3(-5)^2$

Square and multiply:

$=3(25)=75$

So our answer is 75.

This means that the slope of the line tangent to the point (-5,-125) on the graph x^3 is 75.

And we're done!

8 0

3 years ago