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borishaifa [10]
3 years ago
5

Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to f

our decimal places.) The area to the right of z = 1.51 is
Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
7 0

Answer:

P(z>1.51) =1-P(Z

And i fwe look into the normalstandar dtable we can find the desired probability:

P(z>1.51) =1-P(Z

And then the The area to the right of z = 1.51 is 0.0655

Step-by-step explanation:

For this case we want to find the following probability:

P(z>1.51)

And for this case we can use the normal standard distribution and the complement rule and we have this:

P(z>1.51) =1-P(Z

And i fwe look into the normalstandar dtable we can find the desired probability:

P(z>1.51) =1-P(Z

And then the The area to the right of z = 1.51 is 0.0655

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If you construct a line perpendicular to Line A given by y=22 through S(1,5) not on the line y =22 find the distance from s to l
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3 years ago
Find f'(x) and state the domain of f':<br> f(x) = In (2x^2+1)
-Dominant- [34]

Answer:

f'(x) = \frac{4x}{2x^2+1}

Domain: All Real Numbers

General Formulas and Concepts:

<u>Algebra I</u>

  • Domain is the set of x-values that can be inputted into function f(x)

<u>Calculus</u>

The derivative of a constant is equal to 0

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Chain Rule: \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

Derivative: \frac{d}{dx} [ln(u)] = \frac{u'}{u}

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = ln(2x² + 1)

<u>Step 2: Differentiate</u>

  1. Derivative ln(u) [Chain Rule/Basic Power]:                          f'(x) = \frac{1}{2x^2+1} \cdot 2 \cdot 2x^{2-1}
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  3. Multiply:                                                                                                     f'(x) = \frac{4x}{2x^2+1}

<u>Step 3: Domain</u>

We know that we would have issues in the denominator when we have a rational expression. However, we can see that the denominator would never equal 0.

Therefore, our domain would be all real numbers.

We can also graph the differential function to analyze the domain.

5 0
3 years ago
Find the value of<br> 3a²-4ab-26² when A= -1 and b-4
nata0808 [166]

Answer:

-657

Step-by-step explanation:

a= -1\\b= 4\\

Substituting the value of a and b

3a^{2}-4ab-26^{2}  \\3(-1)^{2} -4(-1)(4)-676\\3-4(-4)-676\\3+16-676\\19-676\\-657

The value of    3a²-4ab-26²  is -657

4 0
3 years ago
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