1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Masja [62]
2 years ago
5

On a standardized exam, the scores are normally distributed with a mean of 120 and

Mathematics
1 answer:
Ierofanga [76]2 years ago
6 0

Answer: z= -0.5

Step-by-step explanation: mean m=120 and deviation s=10.

Z = (x-m)/s= (115-120)/10

You might be interested in
Which security risk is an example of malware?
Elan Coil [88]
D. Worm! Viruses, worms, rasonware, Trojans, bonets, and adware are also some examples!
8 0
3 years ago
Read 2 more answers
Tristan wants to buy 12 cupcakes. Each cupcake costs $2.40. What is the best estimate for how much money Tristan should bring wi
Alenkasestr [34]

Answer: $28.80

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do n
aliya0001 [1]

Answer:

f(x)=\sum_{n=1}^{\infty}(-1)^{(n-1)}2^{n}\dfrac{x^n}{n}

Step-by-step explanation:

The Maclaurin series of a function f(x) is the Taylor series of the function of the series around zero which is given by

f(x)=f(0)+f^{\prime}(0)x+f^{\prime \prime}(0)\dfrac{x^2}{2!}+ ...+f^{(n)}(0)\dfrac{x^n}{n!}+...

We first compute the n-th derivative of f(x)=\ln(1+2x), note that

f^{\prime}(x)= 2 \cdot (1+2x)^{-1}\\f^{\prime \prime}(x)= 2^2\cdot (-1) \cdot (1+2x)^{-2}\\f^{\prime \prime}(x)= 2^3\cdot (-1)^2\cdot 2 \cdot (1+2x)^{-3}\\...\\\\f^{n}(x)= 2^n\cdot (-1)^{(n-1)}\cdot (n-1)! \cdot (1+2x)^{-n}\\

Now, if we compute the n-th derivative at 0 we get

f(0)=\ln(1+2\cdot 0)=\ln(1)=0\\\\f^{\prime}(0)=2 \cdot 1 =2\\\\f^{(2)}(0)=2^{2}\cdot(-1)\\\\f^{(3)}(0)=2^{3}\cdot (-1)^2\cdot 2\\\\...\\\\f^{(n)}(0)=2^n\cdot(-1)^{(n-1)}\cdot (n-1)!

and so the Maclaurin series for f(x)=ln(1+2x) is given by

f(x)=0+2x-2^2\dfrac{x^2}{2!}+2^3\cdot 2! \dfrac{x^3}{3!}+...+(-1)^{(n-1)}(n-1)!\cdot 2^n\dfrac{x^n}{n!}+...\\\\= 0 + 2x -2^2  \dfrac{x^2}{2!}+2^3\dfrac{x^3}{3!}+...+(-1)^{(n-1)}2^{n}\dfrac{x^n}{n}+...\\\\=\sum_{n=1}^{\infty}(-1)^{(n-1)}2^n\dfrac{x^n}{n}

3 0
2 years ago
What is the first step in solving ln(x − 1) = ln6 − lnx for x?
Stels [109]

Answer:

Option C - Simplify the right side using the "difference of two logs is the log of the quotient" property.

Step-by-step explanation:

Given : Expression \ln (x-1)=\ln 6-\ln x

To find : What is the first step in solving  the expression ?

Solution :

Expression \ln (x-1)=\ln 6-\ln x

Step 1 - Simplify the right side using the "difference of two logs is the log of the quotient" property.

i.e. \ln a-\ln b=\ln(\frac{a}{b})

Apply the first step we get,

\ln (x-1)=\ln(\frac{6}{x})

Therefore, Option C is correct.

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cpi%20%20x%5E%7B2%7D%20" id="TexFormula1" title=" \pi x^{2} " alt=" \pi x^{2} " align="
ANEK [815]

The formule is about area of a circle.

\pi x^{2} = a

We need to solve the equation for x. Where x is the radius of the circle.

In order to solve it for x, we need isolate it for x on left side.

So, first we need to get rid pi from left side.

On dividing both sides by pi, we get

\frac{\pi x^2}\pi}=\frac{a}{\pi}

x^2=\frac{a}{\pi}

Taking square root on both sides, we get

\sqrt{x^2}=\sqrt{\frac{a}{\pi}}

x=\sqrt{\frac{a}{\pi}}


4 0
3 years ago
Other questions:
  • A swimming pool at the local park is 25 ft long ,20 ft wide,and 5 ft deep how much water can the pool hold
    6·2 answers
  • The slope-intercept form of the equation of a line that passes through point (-3, 8) is y= -2/3x+6. What is the point-slope
    13·1 answer
  • Use the distributive property to find the product of 4 2/5 x 10
    14·2 answers
  • Which expression is not equivalent to 6^3/6^6?<br><br> 1)1/6^2<br> 2)6^-3<br> 3)1/216<br> 4)1/6^3
    6·2 answers
  • No links and respond with an explanation please.
    10·1 answer
  • Hi can someone help me with number 1 please!!
    8·1 answer
  • Max eats 1 and 1/2 cups of food at each meal, and Fido eats 3/4 cups of food at each meal. If Omar feeds his dogs twice a day ho
    11·2 answers
  • Tarik filled his tank with 11 gallons of
    13·1 answer
  • Add h to g, then divide 10 by the result
    13·2 answers
  • 5-16 Find the general indefinite integral.<br> 16. <img src="https://tex.z-dn.net/?f=%5Cint%20%5Cfrac%7B%5Csin%202%20x%7D%7B%5Cs
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!