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
OverLord2011 [107]
2 years ago
9

7. A machine produces memory sticks of varying lengths, distributed uniformly between 3mm and 13 mm. Memory sticks longer than 1

0 mm do not meet the design criteria and must be scrapped. Calculate the proportion of memory sticks that will be scrapped, which is the probability that memory stickers longer than 10 mm will be scrapped.
Mathematics
1 answer:
Mars2501 [29]2 years ago
6 0

Answer:

The proportion of memory sticks that will be scrapped is 0.3 = 30%.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

P(X < x) = \frac{x - a}{b - a}

The probability of finding a value between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The probability of finding a value above x is:

P(X > x) = \frac{b - x}{b - a}

Distributed uniformly between 3mm and 13 mm.

This means that a = 3, b = 13

Calculate the proportion of memory sticks that will be scrapped:

P(X > 10) = \frac{13 - 10}{13 - 3} = \frac{3}{10} = 0.3

The proportion of memory sticks that will be scrapped is 0.3 = 30%.

You might be interested in
Island A is 250 miles from island B. A ship captain travels 260 miles from island A and then finds out he is off course and 160
elena-14-01-66 [18.8K]

CHECK THE COMPLETE QUESTION BELOW

Island A is 250 miles from island B. A ship captain travels 260 miles from island A and then finds that he is off course and 160 miles from island B. What bearing should he turn to, so he is heading straight towards island B?

A. 111.65

B. 119.84

C. 21.65

D. 135.53

Answer:

OPTION A IS CORRECT

A. 111.65

Step-by-step explanation:

This question can be explained using a triangle, let us say triangle ABD

and let us say A and B represent the islands and D is the particular point from where the captain is standing at a distance of 160 miles from B island .

We will be making use of cosines rule to calculate our angles, and we know that from cosine rule

D² = a² + b² -2abCosD

Where, a= 160 b = 260 and d = 250 then we can substitute in order to calculate our angles

250²= 60² + 260² - 2(160*260)Cos(D)

62500= 625600+ 67600- 83200CosD

83200CosD= 25600+ 67600 - 625600

83200CosD= 30700

CosD= 30700/83200

CosD= 0.369

D= cos⁻¹ (0.369)

D=68.35

Therefore, the angle inside the triangle is 68.35°

Now we can now find the bearing the captain supposed to turn , if he is heading to island B which will be the external angle of the triangle, but we know that The external angle =180°(supplimentary angles )

Then the angle he would turn will be external angle of the triangle - 68.35°

= (180 - 68.35)

= 111.65°

Therefore, the bearing the captain should turn is 111.65° for him to be heading straight towards island B.

7 0
3 years ago
I can evaluate expressions if J=3 K=6 M=12 jk+4M divided by 2
kkurt [141]
First plug in the numbers: 3x6+4x12/2. then do the Pemdas, so multiplication first: 18+42/2. then since the division is like a fraction bar, it means to divide but first simplify the 18+42: 60/2. Your answer is 30.
5 0
3 years ago
Juanita a talented artist. She makes and sells t-shirts showing her art work.
liq [111]

Answer:

answer 436 tubig is water halimaw is monster ang Ganda mo Sana kaso ang height mo pang kinder

Step-by-step explanation:

answer is 436 I hope it helps

4 0
2 years ago
the lucases made 14 1/2 pints of jam.theyhve empty 1/4-pint jars to pour the jam into. how many jars will they need?
arsen [322]
29/2*4/1=116/2= and 116/2=58

58 jars
5 0
3 years ago
HELP ME ASAP!!!!!!!!
Marina CMI [18]

Answer:

Step-by-step explanation:

1) 30 : 100 = x : 299

x = (30 x 299)/100

x = 89,70 $

2) 299 - 89,70 = 209,30 $

3)  5 : 100 = x : 209,30

x = 10,465 $

209,30 + 10,465 = 219,77 $

5 0
3 years ago
Other questions:
  • Choose the correct equation type for each system. (Equivalent, Inconsistent, Consistent)
    6·2 answers
  • What is the the decrease in percentage from 248 to 200
    6·1 answer
  • 3.Last year, the numbers of skateboards produced per day at a certain factory were normally distributed with a mean of 20,500 sk
    12·1 answer
  • Can some1 turn these word sentences to numerical equations?
    9·1 answer
  • TEST SCORES Matthew's math test scores this
    6·1 answer
  • What's the absolute value of |n-3|=5<br> I need for the steps to solving the problem shown please.
    11·1 answer
  • Sofia is a helper for the kindergarten class and is in charge of picking a video for their end-of-year party to choose which typ
    13·2 answers
  • 4 tons of sawdust cost $3,120.00. What is the price per pound?
    15·1 answer
  • It took Jahina 6 minutes to drive 21 laps. How many laps per minute did she run? Show your
    9·1 answer
  • What is the pattern in the values as the exponents increase?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!