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
nevsk [136]
2 years ago
7

These data can be approximated quite well by a N(3.4, 3.1) model. Economists become alarmed when productivity decreases. Accordi

ng to the normal model what is the probability that the percent change in worker output per hour from the previous quarter is more than 0.5 standard deviations below the mean?
Mathematics
1 answer:
Ganezh [65]2 years ago
3 0

Answer:

0.6915 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

N(3.4, 3.1)

Mean, μ = 3.4

Standard Deviation, σ = 3.1

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to evaluate:

P(x > \mu-0.5(\sigma)\\P(x > 3.4-0.5(3.1))\\P(x> 1.85)

Evaluation of probability:

P( x > 1.85) = P( z > \displaystyle\frac{1.85 - 3.4}{3.1}) = P(z >-0.5)

= 1 - P(z \leq -0.5)

Calculation the value from standard normal z table, we have,  

P(x > 1.85) = 1 - 0.3085=0.6915 = 69.15\%

0.6915 is the probability that the percent change in worker output per hour from the previous quarter is more than 0.5 standard deviations below the mean.

You might be interested in
How do you write -x+3y=6 in slope intercept form?
Afina-wow [57]

Commenter jdoe said it right: solve for y and leave the rest on the other side.

-x + 3y = 6

3y = 6 + x add x on both sides

3y = x + 6 rearrange to get the x first

y = (x + 6) /3 divide both sides by 3

y = x/3 + 6/3 split the numerator (caution - never split denominators)

y = x/3 + 2 simplify 6/3


Thus the line in slope intercept form of y = mx + b is y = y = \frac{1}{3} x + 2


8 0
3 years ago
Read 2 more answers
For f (x) = 4 x +1 and g(x) = x^2- 5, find (g/f)(x)
Lady bird [3.3K]

Answer:

The answer is: \frac{x^2-5}{4x+1}

Step-by-step explanation:

We are given: f(x)=4x+1 and g(x) = x^2-5

We need to find (g/f)(x).

Simply divide g(x) and f(x)\\.

Which equates to:

(g/f)(x)= \frac{g(x)}{f(x)} =\frac{x^2-5}{4x+1}

This cannot be simplified further, so it is the answer.

3 0
3 years ago
How much is 1 + 1 √2`∞↓1∫∑∑
Soloha48 [4]

Answer:tu

Step-by-step explanation:jthty6866

7 0
2 years ago
Whats the center and the radius of the circle(x+4)²+(y+6)²=64
inessss [21]

Answer:

The center is (-4,-6) and the radius is 8

Step-by-step explanation:

(x+4)²+(y+6)²=64

The equation of a circle can be written in the form

(x-h)²+(y-k)²=r^2

Where (h,k) is the center and r is the radius

Rewriting the equation

(x - -4)²+(y- -6)²=8^2

The center is (-4,-6) and the radius is 8

5 0
3 years ago
120 is what percent of 40?
Keith_Richards [23]
120 would be 300% of 40
3 0
2 years ago
Read 2 more answers
Other questions:
  • Write the slope intercept form of the equation of the line described.
    6·1 answer
  • A long way to get the answer to 783÷5.
    5·2 answers
  • What is 0.6767 as a simplified fraction
    15·1 answer
  • 7/3+3(2/3−1/3)*2 I need an answer to this question really quick, and by the way the two in the end is a second power
    12·2 answers
  • A bag contains 4 red marbles, 5 blue marbles, 6 yellow marbles, and 7 green marbles; Jonathan randomly grabs one marble, puts it
    12·1 answer
  • To obtain the graph of y = (x - 8)2, shift the graph of y = x2 units.
    10·2 answers
  • Michael read 135 pages in 1 1/2hours. Select all of the rates that are equivalent to this rate.
    11·1 answer
  • Is -3 – -44 positive or negative?
    5·1 answer
  • Find the volume of the prism. 4 in. 8 in. 8 in. ​
    10·2 answers
  • Where is the horizontal center of mass of the entire upper extremity?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!