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
pshichka [43]
3 years ago
7

Please need to know answer ASAP

Mathematics
1 answer:
shepuryov [24]3 years ago
7 0
                                             
the 1st and 2nd choise. 

You might be interested in
An accounting firm is planning for the next tax preparation season. From last years returns, the firm collects a systematic rand
Elena L [17]

Answer:

a)From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error for the mean would be:

\sigma_{\bar X}= \frac{140}{\sqrt{100}} =14

b) We want this probability:

P(\bar X >120)

And we can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

z = \frac{120-90}{\frac{140}{\sqrt{100}}}= 2.143

And we can find this probability with the complement rule and the normal standard deviation or excel and we got:

P( z>2.143) = 1-P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Part a

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error for the mean would be:

\sigma_{\bar X}= \frac{140}{\sqrt{100}} =14

Part b

We want this probability:

P(\bar X >120)

And we can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

z = \frac{120-90}{\frac{140}{\sqrt{100}}}= 2.143

And we can find this probability with the complement rule and the normal standard deviation or excel and we got:

P( z>2.143) = 1-P(Z

4 0
3 years ago
Which statements are true about the expression representing the area of the patio?
dangina [55]

Answer:

the expression representing the area of the patio has four terms

the expression representing the area of the patio is a polynomial

the expression representing the area of the patio has a constant term

the expression representing the area of the patio is cubic

Step-by-step explanation:

4 0
3 years ago
Determine the missing side length
soldier1979 [14.2K]

Answer:

√85

Step-by-step explanation:

The given shape is a right angled triangle.

Let the missing side length be " x ".

By Pythagoras theorem,

x² = 6² + 7²

x² = 36 + 49

x² = 85

x = √85

Therefore, the missing side length be √85.

8 0
2 years ago
A rectangle is 12.5 m wide and 18.24 m long.<br><br> What is the area of the rectangle?
Ivan
Area=228
A=W*L
A=12.5*18.24

3 0
3 years ago
Find the diameter of a circle with circumference of 15.70
Elanso [62]

Find the diameter of a circle with circumference of 15.70

Solution: We are given:

The circumference of a circle =15.70

We are required to find the diameter of the circle based on given circumference.

We know that:

Diameter = \frac{circumference}{\pi}  

                      =\frac{15.70}{3.1416}      \because \pi \approx 3.1416

                      =5.00 rounded to two decimal places

Therefore, the diameter of the circle with circumference 15.70 is 5

7 0
3 years ago
Other questions:
  • Automated manufacturing operations are quite precise but still vary, often with distribution that are close to Normal. The width
    5·1 answer
  • Which figure has the greatest amount of lines of symmetry
    8·1 answer
  • Alfonso is 8 years older than Ashley. Five years ago Alfonso was three times as old as Ashley. How old is Ashley now?
    8·2 answers
  • Cylinder a has a radius of 12 inches and a height of 6 inches. Cylinder b has a volume of 648
    13·1 answer
  • How do i rewrite the sum in the form a(b+c) such that the integers b and c have no common factor. 24+16?
    9·2 answers
  • Please help 50 points <br><br> What is the fractional form of
    6·2 answers
  • What 1x0 -p1s yyyyrr
    13·1 answer
  • A racecar driver has a 0.05 probability of winning any given race in a season. There are 16 races in a season, and
    12·1 answer
  • There are y boats on a lake.
    15·2 answers
  • Find the area of each shaded region in each figure.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!