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
Gelneren [198K]
3 years ago
11

The weight distribution of parcels sent in a certain manner is normal with mean value 17 lb and standard deviation 3.3 lb. The p

arcel service wishes to establish a weight value c beyond which there will be a surcharge. What value of c is such that 99% of all parcels are at least 1 lb under the surcharge weight? (Round your answer to three decimal places.) c = lb
Mathematics
1 answer:
Yakvenalex [24]3 years ago
7 0

Answer: The value of c would be 26.514 lb.

Step-by-step explanation:

Since we have given that

Mean = 17 lb

Standard deviation = 3.3 lb

At 99%  level of significance, z = 2.58

So, it becomes,

Z=\dfrac{X-\mu}{\sigma}\\\\2.58=\dfrac{X-17}{3.3}\\\\2.58\times 3.3=X-17\\\\8.514+17=X\\\\X=25.514

So, the weight c would be

c=25.514+1\\\\c=26.514

Hence, the value of c would be 26.514 lb.

You might be interested in
You recently took a statistics exam in a large class. The instructor tells the class that the scores were Normally distributed,
Lunna [17]

Answer:

b. the area to the right of 2

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is also the area to the left of Z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to the right of Z.

In this problem:

X = 96, \mu = 72, \sigma = 12

Z = \frac{X - \mu}{\sigma}

Z = \frac{96 - 72}{12}

Z = 2

Percentage who did better:

P(Z > 2), which is the area to the right of 2.

5 0
3 years ago
What is 4×5/8 please write the correct answer
wel
The answer would be 2.5.

hope this helps (;

4 0
3 years ago
Read 2 more answers
Figure A is a scale image of Figure B.<br><br> What is the value of x?<br> PS. it's not 17
Oksanka [162]

Step-by-step explanation:

24÷(45÷25)= 21

x=21

Hope this helped!

4 0
2 years ago
Read 2 more answers
Which are the solutions of x2 = –13x – 4?
kobusy [5.1K]

x2 = -13x - 4=

2x = -13x - 4=

2x+13x=-13x-4+13x

15x=-4

x=4/15

i hope this is correct

7 0
3 years ago
What is the mean absolute deviation for 7, 5, 1, 6, 2, and 3?
Gwar [14]

7, 5, 1, 6, 2 Mean Absolute Deviation = 2.16

3, 6, 3, 2, 1 Mean Absolute Deviation = 1.2

3 0
3 years ago
Other questions:
  • 5. What are the zeros of the graph below?<br> A -2 and 0<br> B-1 and 0<br> C 0 and 2
    6·1 answer
  • John and Andrew have £3.40 between them. John has £1.20 more than Andrew. John has £u and Andrew £v
    6·1 answer
  • Write as a percent and a fraction 0.81
    7·2 answers
  • find a number such that if 8 is subtracted from 9 times the number , the result is 6 more than twice the number​
    12·1 answer
  • Find the point of intersection of each pair of lines using substitution
    10·1 answer
  • Please give me the correct answer.​
    5·2 answers
  • Half of the number, n, plus eight?
    10·2 answers
  • 90 + 90 ÷ 90 = _________​
    12·1 answer
  • 5 | 61251 is this true or false?
    11·1 answer
  • For the equation 2n - 3 = 7, what is the coefficient of the variable
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!