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
sammy [17]
2 years ago
9

The weights of certain machine components are normally distributed with a mean of 8.04 g and a standard deviation of 0.08 g. Fin

d the two weights that separate the top 3% and the bottom 3%. (These weights could serve as limits used to identify which components should be rejected)
Mathematics
1 answer:
NISA [10]2 years ago
5 0

Answer:

The bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.

Step-by-step explanation:

We are given that

Mean, \mu=8.04 g

Standard deviation, \sigma=0.08g

We have to find the two weights that separate the top 3% and the bottom 3%.

Let x be the weight of  machine components

P(Xx_2)=0.03

P(X

=0.03

From z- table we get

P(Z1.88)=0.03

Therefore, we get

\frac{x_1-8.04}{0.08}=-1.88

x_1-8.04=-1.88\times 0.08

x_1=-1.88\times 0.08+8.04

x_1=7.8896

\frac{x_2-8.04}{0.08}=1.88

x_2=1.88\times 0.08+8.04

x_2=8.1904

Hence, the bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.

You might be interested in
I NEEEEEED HEEEEEEEP PLZZZZZZZZ
Tema [17]

So, since the student makes $30 each week, we can disregard the number of hours.


So, we can model this situation by the following equation

9.5h+30


So, if he works 10.25 hrs (15 minutes = .25 of 1 hr) we just plug that number in

9.5h+30\\9.5(10.25)+30\\127.275

Since it's money we round to the nearest cent

So he will make $127.28 Next week

6 0
3 years ago
Function g is a transformation of the parent exponential function. Which statements are true about function g?
Elan Coil [88]

Answer:

function g is positive over (-∞, ∞)

function g has a y-intercept of (0,4)

function g decreasing over the interval (-∞, 0)

Step-by-step explanation:

3 0
3 years ago
Alice works at a health care facility. She has measured the hemoglobin levels of 200 people. The data follows a normal distribut
amid [387]
              This is a normal distribution with a Mean: 14 g/dL and a Standard deviation: 1 g/dL.
    A ) Hemoglobin levels less than 13:
    13 = 14 - 1 = Mean - 1 SD
    0.16  x 200 = 32
    Answer:  32 people.
    B ) Hemoglobin levels greater than 14 :
     0.50  x 200 = 100
     Answer:  100 people. 
7 0
3 years ago
-3x+7 x=-2<br> PLEASE SHOW WORK. Thanks
galben [10]

Answer:

1  :

Step  2  :

Equations which are never true :

2.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2      Solve  :    2x+1 = 0

Subtract  1  from both sides of the equation :

                     2x = -1

Divide both sides of the equation by 2:

                    x = -1/2 = -0.500

One solution was found :

                  x = -1/2 = -0.500

5 0
3 years ago
A 9 kilogram bag of animal feed costs $45. ​ What is the unit price per kilogram?
kotykmax [81]
The unit price per kg is $5, to find this divide the 9 kilograms into the price $45 the answer is what each kilogram is worth
6 0
3 years ago
Other questions:
  • You are at a trade show where you are selling baseball cards for $4 a card and buying baseball cards for $6 a card. If you start
    13·1 answer
  • Calvin deposits $400 in a savings account that accrues 5% interest compounded monthly. after c years, calvin has $658.80. makayl
    10·2 answers
  • The greatest common factor of 16 20 and 24
    15·1 answer
  • Twice the number (x) is less than 10
    8·1 answer
  • I need help with a question! Thank you!
    15·2 answers
  • X + 5y = -2
    10·1 answer
  • Recall your hypotheses about the impact of the independent variables on the number of daily check-ins. Are there any coefficient
    10·1 answer
  • What is 45m/15s as a rate
    15·1 answer
  • 4. In the quadratic function y = 232 + ba + c, the<br> affects the width of the parabola.
    7·1 answer
  • Employee B got a one time bonus of $90. He makes $13 an hour. If he was paid $415, how
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!