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
Blababa [14]
3 years ago
15

Potatoes: Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 9 ounces and a standard deviatio

n of 1.2 ounces. Round your answers to 4 decimal places.
(a) If one potato is randomly selected, find the probability that it weighs less than 10 ounces.


(b) If one potato is randomly selected, find the probability that it weighs more than 12 ounces.


(c) If one potato is randomly selected, find the probability that it weighs between 10 and 12 ounces.

Mathematics
1 answer:
katrin2010 [14]3 years ago
5 0

Answer: a)  79.10 %           b) 7%                c)19.85 %

Step-by-step explanation:

a) Z = ( × - μ ) ÷ σ           Where  μ mean of population σ standard               deviation Z is the abscissa to give the area or probability we are looking for associated to the value 10 ounces ( × )

So:  Z = ( 10 - 9 ) ÷ 1.2  ⇒ Z = 1/1.2 ⇒   Z = 0.83  it has to be below this value

From Z tables we get  P [ Z ≤ 0.82 ] = 0.7910  0r  79.10 %

b) Following the same procedure: We look for

P [ Z > ( x - μ ) ÷   σ ]    ⇒   Z  =  ( 12 -10 ) ÷ 1.2  = 2.5

From Z table we get the area under the curve from the left tail up to the point Z < 2.5 ( 2.5 not included) but we were asked for the area out of that previous so 1- 0.9930 = 0.007 is the area we are looking for

So P (b) = 0.007  or 7 %

Finally between the two points above mentioned ( 10 ≤  Z  ≤ 12 ) we use the previous values (taking in consideration the limits, according to the problem statement )

Z ≤ 10     Z ⇒( 10-9  ) ÷ 1.2   Z = 0.7967

Z ≥ 12     Z ⇒ ( 12 - 9 ) ÷ 1.2  Z = 0.9952

The interval is between these two points

0.9952 - 0.7967 = 0.1985   ⇒ or 19.85 %

The attached help in the understanding of the solution

                               

You might be interested in
Solve for x: 9x-1=10x+9<br><br> How do you get x off one side and onto the other, please explain
Stels [109]

Answer:

x = -10

Step-by-step explanation:

9x-1=10x+9

9x-1+1=10x+9+1

9x=10x+10

9x-10x=10x-10x+10

-x=10

-x/-1=10/-1

x= -10

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

4 0
3 years ago
The base of an isosceles triangle is parallel to the x-axis. The y-axis passes through an end point of the base. If the endpoint
AnnyKZ [126]
The first x coordinate is given by 0 and the second one is given as j. So the length of the base is j. (Sometimes in math they give letters rather than numbers. And since you know it is an isosceles then the other vertex should be at x-coordinate half j or j/2.
5 0
2 years ago
Solve each system of equation<br> Y=-3x+5 <br> 5x-4y=-3
____ [38]
Y = -3x + 5
5x - 4y = -3

   5x - 4(-3x + 5) = -3
5x + 4(3x) - 4(5) = -3
     5x + 12x - 20 = -3
             17x - 20 = -3
                   + 20  + 20
                    17x = 17
                     17     17
                        x = 1
                        y = -3x + 5
                        y = -3(1) + 5
                        y = -3 + 5
                        y = 2
                  (x, y) = (1, 2)
6 0
3 years ago
What two numbers multiply to equal -27 but adds up to equal -6
kkurt [141]

Answer:

-9 and 3

Step-by-step explanation:

as -9×3= -27

and

-9+3= -6

4 0
3 years ago
PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
Sunny_sXe [5.5K]

Answer:

The answer is  -4.

Step-by-step explanation:

Because the 4 x 4 is 16

4 0
3 years ago
Other questions:
  • Jennifer traveled from West
    7·1 answer
  • Getaway travel agency surveyed a random sample of 45 of their clients about their vacation plans. Of the client surveyed, 21 exp
    5·1 answer
  • A dataset has 1000 records and 50 variables with 5% of the values missing, spread randomly throughout the records and variables.
    9·1 answer
  • \begin{aligned} &amp;-5y=-5 \\\\ &amp;7x+6y=7 \end{aligned}
    7·1 answer
  • How to this problem -6a&lt;9+3y&gt;6
    14·1 answer
  • Which of the following is a integer -5/4, and 2?
    8·1 answer
  • Solve for x.<br><br><br><br> ​ −2(x+14)+1=5 ​<br><br> ​ Enter your answer in the box.
    12·2 answers
  • Suppose that $9000 is placed in an account that pays 2% interest compounded each year. Assume that no withdrawals are made from
    10·1 answer
  • A driver stopped to purchase 27 gallons of gas and paid $62.10. What is the unit rate for gas?
    10·2 answers
  • Factor the polymonial completely using the X method x2 + 13x - 48 quickest response gets braniliest
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!