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
Arlecino [84]
3 years ago
8

A company sells apples in packages of 444. The masses of the individual apples are normally distributed with a mean of 175\,\tex

t{g}175g175, start text, g, end text and a standard deviation of 15\,\text{g}15g15, start text, g, end text. Assume that the weights of apples are independent from each other.
Mathematics
1 answer:
erastova [34]3 years ago
5 0

Answer: let the probability of  weights less than 160 be the required value, then, using z-score formula

z-score =( x - ∪) ÷ Ф where, x is 160, ∪ is population mean = 175,

Ф is the population standard deviation = 15

  z-score = (160 - 175) ÷ 15 = -1

p(z< -1) = 0.159

Step-by-step explanation:

the question is not complete. Assuming that the missing figure is 160 representing the required weights ess than the normal weights of 175.

step 1. obtain the z-score value by using the formula

          z =( x - ∪) ÷ Ф

step 2. obtain the probability of weights less than 160 from normal distribution table. since z-score value is -1,the probability is obtained as 0.159 that is 15.9%

You might be interested in
6% greater than or less than 48%
elena-s [515]
6% is less than 48%. Due to the reason that 48% is a larger portion.
3 0
3 years ago
Read 2 more answers
The article "Snow Cover and Temperature Relationships in North America and Eurasia"† used statistical techniques to relate the a
poizon [28]

Answer:

Step-by-step explanation:

From the given information,

The ten observation data on october  snow cover for Eurasia  during the years is 6.5, 12.0, 14.9, 10.0, 10.7, 7.9, 21.9, 12.5, 14.5, 9.2

What would you report as a representative, or typical, value of October snow cover for this period, and what prompted your choice?

For the given data, 21.9 is an outlier, so trimmed mean would be good choice for the researcher,

Remove the smallest and the largest values to compute the trimmed mean

\bar x = \frac{12.0+14.9+10.0+10.7+7.9+12.5+14.5+9.2}{8} \\\\=\frac{91.7}{8} \\\\=11.465

6 0
3 years ago
Write the equation in logarithmic form 3^3=27
vladimir2022 [97]

Taking logarithms, you get

3\log{(3)}=\log{(27)}\\\\3=\dfrac{\log{(27)}}{\log{(3)}}\\\\3=\log_{3}{(27)}

8 0
3 years ago
What number can be divided into 2 and 3 equal groups without a remainder?
Studentka2010 [4]

Answer:

a. 36

Step-by-step explanation:

36 is a square root

meaning that 6 and 6 can both go into 36 when multiplied

it can also be divided into 9 and 4

6 0
2 years ago
Read 2 more answers
7. The probability that a randomly chosen student will be left-handed is .09: a) In a class of 108, find the probability that th
vampirchik [111]

Solution :

Let x be student will be left handed

P = 0.09

Using the normal approximation to binomial distribution,

a). n = 108,

    μ = np = 9.72

    $\sigma = \sqrt{np(1-p)}$

       $=\sqrt{8.8452}$

       = 2.9741

Required probability,

P(x=8) = P(7.5 < x < 8.5)

$=P\left(\frac{7.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{8.5-9.72}{2.9741}\right)$

$=P(-0.75 < z < -0.41)$

Using z table,

= P(z<-0.41)-P(z<-0.75)

= 0.3409-0.2266

= 0.1143

b). P(x=12) = P(11.5 < x < 12.5)

$=P\left(\frac{11.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{12.5-9.72}{2.9741}\right)$

$=P(0.60 < z < 0.94)$

Using z table,

= P(z< 0.94)-P(z< 0.60)

= 0.8294 - 0.7257

= 0.1006

7 0
3 years ago
Other questions:
  • Suppose 10% of the flights arriving at an airport arrive early, 60% arrive on time, and 30% arrive late. Valerie used the random
    12·1 answer
  • Evaluate 3(x+4)(x+1)<br> (x+2)(x-2) for x=4​
    10·2 answers
  • What is the maxima or minima of this graph ?????
    7·1 answer
  • In a laboratory, scientist are performing chemical reactions.the amount of product formed by a reaction can be determined by equ
    13·1 answer
  • Carrie has $500 in her bank account. She plans to add $245 a week to her account. Jose has $710 in his bank account. He plans to
    5·1 answer
  • How many three number codes does a combination lock with 40 numbers have if the numbers can repeat?
    12·1 answer
  • Find the absolute Value<br> -8
    6·2 answers
  • What is the domain and range?
    13·1 answer
  • Find the point of intersection of the lines:
    6·2 answers
  • Match the task to the occupation.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!