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
Lostsunrise [7]
2 years ago
11

Deep mixing is a ground improvement method developed for soft soils like​ clay, silt, and peat. Civil engineers investigated the

properties of soil improved by deep mixing with​ lime-cement columns. The mixed soil was tested by advancing a cylindrical rod with a cone tip down into the soil. During​ penetration, the cone penetrometer measures the cone tip resistance​ (megapascals, MPa). The researchers established that tip resistance for the deep mixed soil followed a normal distribution with muμequals=2.72.7 MPa and sigmaσequals=0.80.8 MPa. Complete parts a through c.
a. Find the probability that the tip resistance will fall between 1.3 and 4.0 MPa.
P (1.3 < x < 4.0) = ____

b. Find the probability that the tip resistance will exceed 1.0 MPa.
P (x > 1) = ____

c. Find a value of tip​ resistance, T, such that 36​% of all soil samples have tip resistance values that exceed T.
T = ____
Mathematics
1 answer:
Kitty [74]2 years ago
5 0

Answer:

a)  0.9078

b) 0.9832

c) T = 2.9867

Step-by-step explanation:

Given:-

T  ~ N (2.7 , 0.8 )

Find:

Find the probability that the tip resistance will fall between 1.3 and 4.0 MPa.

Find the probability that the tip resistance will exceed 1.0 MPa.

Find a value of tip​ resistance, T, such that 36​% of all soil samples have tip resistance values that exceed T

Solution:

a) To find the P ( 1.3 < x < 4.0 ) we will first compute the z-score values:

        P (1.3 < x < 4.0 ) = P ( (1.3 - 2.7)/0.8 < Z < (4.0 - 2.7)/0.8)

        P (1.3 < x < 4.0 ) = P ( -1.75 < Z < 1.625)

- Using the Z-table values we can evaluate the probability:

       P (1.3 < x < 4.0 ) = P ( -1.75 < Z < 1.625) = 0.9078

b) To find the P ( x > 1 ) we will first compute the z-score values:

        P ( x > 1.0 ) = P ( Z > (1.0 - 2.7)/0.8)

        P ( x > 1.0 ) = P ( Z > -2.125)

- Using the Z-table values we can evaluate the probability:

       P ( x > 1.0 ) = P ( Z > -2.125) = 0.9832

c) To find the P ( x > T ) we will first compute the z-score values:

       P ( x > T ) = P ( Z > (T - 2.7)/0.8) = 0.36

  - We will search for the z value with the condition above from Z-table.

       P ( Z > (T - 2.7)/0.8) = 0.36,  Z = 0.358375

  - Hence, we calculate for T:

        T = 0.358375*0.8 + 2.7

        T = 2.9867

You might be interested in
Using the sum or difference formulas,how do we find the exact value of sin (285°)?
Semenov [28]
See attachment for the answer:

6 0
3 years ago
How can properties help me divide?
mariarad [96]
Properties can help you divide because if you didn't follow them we would have incorrect answers and would be very held back in science and mathematics
8 0
2 years ago
Simplify.<br><br> 5 • 2 • (–4) + 6 ÷ 2
Natasha2012 [34]

Answer:

- 37

Step-by-step explanation:

5 • 2 • ( - 4 ) + 6 ÷ 2

= 5 • 2 • ( - 4 ) + [ 6 ÷ 2 ]

= 10 • ( - 4 ) + 3

= - 40 + 3

= - 37

4 0
2 years ago
The annual interest rate of Mike's savings account is 4.8%, and simple interest is calculated monthly. What is the periodic inte
Reptile [31]

The correct option will be: d. 0.4%

For finding the periodic interest rate , we need to divide the annual interest rate by the number of times interest calculated in a year.

Here, the simple interest is calculated monthly, that means the number of times interest calculated in a year will be 12.

Annual interest rate is 4.8%

So, the periodic interest rate = \frac{4.8}{12}= 0.4%

5 0
3 years ago
Read 2 more answers
A soap factory randomly inspects 100 bars of soap to better identify problems that occur during the manufacturing
Mekhanik [1.2K]

Answer:

idk

Step-by-step explanation:

sorry

8 0
3 years ago
Read 2 more answers
Other questions:
  • A pitcher's arm rotates at a speed of 7 degrees per millisecond (degrees/ms)
    14·2 answers
  • A school contains 357 boys and 323 girls.
    13·1 answer
  • An accountant makes 57,000 per year. what is the monthly salary
    5·1 answer
  • What is 975 times 65
    10·1 answer
  • What is the quotient of 18/1000?
    9·2 answers
  • you have piano lessons every 7 days and tuba lessons every 3 days. Today you have both lessons. Not counting today or the day wh
    5·1 answer
  • Tia’s car needs repairs. Honest Harry will charge $70 per hour plus $130 for the part. Lucky Lou will charge $80 per hour plus $
    7·2 answers
  • Question: Explain why the researchers used data from ten trails and averaged them, rather than data from a single trail. PLEASE
    14·1 answer
  • Please help me big finals test!!!!
    10·1 answer
  • Which of the following is the solution to the inequality?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!