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
xenn [34]
3 years ago
11

A manufacturer of industrial solvent guarantees its customers that each drum of solvent they ship out contains at least 100 lbs

of solvent. Suppose the amount of solvent in each drum is normally distributed with a mean of 101.3 pounds and a standard deviation of 3.68 pounds. a) What is the probability that a drum meets the guarantee? Give your answer to four decimal places. b) What would the standard deviation need to be so that the probability a drum meets the guarantee is 0.97? Give your answer to three decimal places.
Mathematics
1 answer:
Hitman42 [59]3 years ago
4 0

Answer:

Step-by-step explanation:

Let X be the solvent present

Then given that the manufacturer of industrial solvent guarantees its customers that each drum of solvent they ship out contains at least 100 lbs of solvent.

X is N(101.3, 3.68)

a) P(X>100) = P(Z>\frac{100-101.3}{3.68} =P(Z>-0.35)\\=0.6368

Probability = 0.6368

b) P(X>100)= 0.97 means Z score = 1.88

X=100+1.88(s) =101.3

s=1.3/1.88=0.6914

You might be interested in
Question 5 of 10
Mrrafil [7]

Answer:

S=6a^2

S=6×2^2

S=6×4=24

The right answer is C

8 0
2 years ago
Read 2 more answers
1.304×10^7 in standerd form
docker41 [41]
1.304*10^7 

= 13040000

4 0
3 years ago
Read 2 more answers
Justify the last two steps of the proof. Help pls :)
Lelu [443]

Answer:

3. ST ≅ TS is a reflexive property

4. SSS (as we have just proved that all 3 corresponding sides are congruent)

Step-by-step explanation:

3. ST ≅ TS is a reflexive property

4. SSS (as we have just proved that all 3 corresponding sides are congruent)

4 0
2 years ago
HELP!! I WILL MARK FIRST RIGHT PERSON BRAINIEST!!!!!!!! Dana walks to the store from the park, it is 8 blocks south and 6 blocks
natita [175]

Answer:

10 blocks

Step-by-step explanation:

South and West are perpendicular to each other, meaning they form a right angle. With the diagonal intersecting with each of the corners, we can form a right triangle. We can use Pythagorean Theorem (a^2 + b^2 = c^2) to find that 8^2 + 6^2 = (diagonal)^2.    8^2 + 6^2 = 100. The square route of 100 is 10, meaning Dana would have to walk 10 blocks.

6 0
3 years ago
A dot plot titled Distance from School in Blocks going from 1 to 6. 1 has 6 dots, 2 has 5 dots, 3 has 4 dots, 4 has 2 dots, 5 ha
Basile [38]

Answer:

Sorry its late

Step-by-step explanation:

A dot plot titled Distance from School in Blocks going from 1 to 6. 1 has 6 dots, 2 has 5 dots, 3 has 4 dots, 4 has 2 dots, 5 has 3 dots, and 6 has 2 dots.

Wynn needs to find the center of the data set shown on the dot plot.

The dot plot has

✔ 22

dots.

The dot plot has

✔ 11

dots to the left of the

center and

✔ 11

dots to the right of the center.

The center of the data set is

✔ between 2 and 3

.

7 0
2 years ago
Read 2 more answers
Other questions:
  • (3^n*3^2)^4=3^28<br> Enter the value of n for the equation<br> N= ?
    10·1 answer
  • Mary drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Mary drove h
    10·1 answer
  • Can concrete blocks be weighed with food scales
    8·2 answers
  • Given: 315/1575. Write the prime fractorization of the numerator and the denominator, then write the fraction in lowest terms.
    12·1 answer
  • What is the are of a hexagon with a radius of 5 inches?
    13·1 answer
  • Find the indicated side of the<br> triangle.<br> b<br> 7<br> 45°<br> a<br> b = [?]VO
    5·1 answer
  • If the equation below represents the total cost of 3 boxes of cereal and 2 loaves of bread is $15," then x represents
    14·1 answer
  • At Mario’s Italian restaurant, 118 of the 200 plates are dirty. What percent of the plates are clean
    15·1 answer
  • Which rational number best describes Point A and Point B on the number line? *
    13·1 answer
  • Write the sentence as an equation.<br><br> the quotient of 331 and u is the same as 13
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!