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
Bess [88]
3 years ago
6

The weights of items produced by a company are normally distributed with a mean of 4.5 ounces and a standard deviation of 0.3 ou

nce. a. What is the probability that a randomly selected item from the production will weigh at least 4.14 ounces? b. What percentage of the items weighs between 4.8 and 5.04 ounces? c. Determine the minimum weight of the heaviest 5% of all items produced. d. If 27,875 items of the entire production weigh at least 5.01 ounces, how many items have been produced?
Mathematics
1 answer:
GalinKa [24]3 years ago
3 0

Answer:

The right solution is:

(a) 0.8849

(b) 12.28%

(c) 4.9935

(d) 28004

Step-by-step explanation:

Given:

Mean,

= 4.5

Standard deviation,

= 0.3

(a)

P(x > 4.14)

As we know,

⇒ z = \frac{4.14-4.5}{0.3}

      =-1.20

then,

⇒ P(z>-1.20) = P(z

                          =0.8849

(b)

P(4.8 < x < 5.04)

= P(\frac{4.8-4.5}{0.3} < \frac{x-\mu}{\sigma} < \frac{5.04-4.5}{0.3} )

= P(1

= P(z

= 0.9641 -0.8413

= 0.1228

or,

= 12.28 (%)

(c)

P(x > x) = 0.05

z value will be,

= 1.645

⇒ 1.645 = \frac{x - 4.5}{0.3}

         x = 4.9935

(d)

P(x < 5.01)

⇒ z = \frac{x- \mu}{\sigma}

      =\frac{5.01-4.5}{0.3}

      =1.7

P(z < 1.70) = 0.9554

⇒ n = \frac{27875}{0.9954}

       =28004

You might be interested in
Which property is illustrated by the following statement <br><br> 2x (6) = (6) 2x
igomit [66]

the answer to it is 24X squared but the answer to your question is both are ok they both give u 12X which is 24X squared the way u wrote it lol

4 0
3 years ago
Pls help 20 points and mark brainliest
tatiyna
1:equilateral
2:isosceles
3:scalene
4:right
5:acute
6:obtuse
8 0
3 years ago
Read 2 more answers
2, 7, 26, 101, 400, next number in pattern?
uranmaximum [27]

Answer:

1480

Step-by-step explanation:

26 / 7 is 3.7. 2 x 3.7 = 7.  400 x 3.7 = 1480

7 0
3 years ago
Really confusing......​
valina [46]

Answer:

She spent 40 more dollars or to be exact 40.70 dollars more then aiden

Step-by-step explanation:

Aiden bought 60 candles.

0.37*60 is equal to $22.20

Aidens sister bought 170 candles at same price of $0.37

0.37*170=$62.90

Now subtract

$62.90-22.20=$40.70

She spent 40 more dollars or to be exact 40.70 dollars more then aiden

4 0
3 years ago
Read 2 more answers
Carly eats a bowl of granola for breakfast every morning. She wonders how much granola she eats in a year. If Carly eats about o
sp2606 [1]
36 pounds of granola
7 0
3 years ago
Read 2 more answers
Other questions:
  • Write an equation for the line that passes through (8,6) and (-8,2)​
    6·1 answer
  • Solomon is 9 years younger than his brother.His brother is 21.How old is Solomon.write and solve an equation
    12·2 answers
  • ILL GIVE BRAILIEST JUST ANSWER IT RIGHT
    15·1 answer
  • A ball is dropped from a height of 10 meters. Each time it bounces, it reaches 50% of its previous height. The total vertical di
    10·1 answer
  • Which of the following scatterplots would have a trend line with a negative slope?
    5·1 answer
  • 4<br> Find the surface area of the following rectangular prism?
    14·1 answer
  • Juan bought a basketball for 40% off. If
    5·2 answers
  • A penny is tossed 650 times and heads came up 200 times. What is the experimental probability of tossing tails?
    8·1 answer
  • Which equation below would be parallel to the line y= 2x+5 and pass through the point (3,1)
    15·1 answer
  • A car dealership pays $8,350 for a car. They Mark up the price by 17.4% to get the retail price. What is the retail price of the
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!