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
valentinak56 [21]
3 years ago
7

The probability that an appliance is in repair is 0.8. if an apartment complex has 100 such appliances, what is the probability

that at least 90 will be in repair? use the normal approximation to the binomial.
Mathematics
1 answer:
AleksandrR [38]3 years ago
8 0

Answer:

P(X\geq90) =0.00878

Step-by-step explanation:

This situation can be modeled by a binomial distribution of parameters:

p = 0.8\\\\q = 0.2\\\\n = 100

We want to find the probability that at least 90 are in repair.

<u><em>We can approximate this problem to a normal distribution, where:</em></u>

\mu = np

\mu = 80

\sigma = \sqrt{npq}\\\\\sigma = 4

Then we look for

P(X\geq90) = P(X>90 -0.5)\\\\P(X\geq90) = P(X>89.5)

Then we must find the normal standard statistic Z-score

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

Therefore:

P(X>89.5) = P(\frac{X-\mu}{\sigma}>\frac{89.5-80}{4})\\\\P(X>89.5) =P(Z>2.375)

Looking in the standard normal table we obtain:

P(Z>2.375) = 0.00878

You might be interested in
What is the gradient of the blue line Attachment below!!!!!!!!!!!
mr_godi [17]

Answer:

-3 Or 3 it could be any one of them

Step-by-step explanation:

-3 or 3

Rise/run so an

6 0
3 years ago
what percentage of people choose baseball or soccer as their favorite sport there is a circle 25% play basketball 35% play footb
erma4kov [3.2K]

Answer:

  35% chose baseball or soccer

Step-by-step explanation:

  baseball or soccer = 20% + 15% = 35%

_____

The categories add to 100%, so are mutually exclusive, as you expect when they are "favorite sport" categories. Hence the union of two of them will be their sum. (Otherwise, you'd have to subtract the amount by which the categories overlap.)

3 0
3 years ago
What is the typical age of people shown in the frequency table?
Sergio039 [100]

Answer:

Step-by-step explanation:

4 0
3 years ago
Justine is planting flowers in a line that is 1/2 of a yard long. She is going to plant 6 flowers. How far apart will each flowe
erica [24]

Answer:

3 inches apart

Step-by-step explanation:

1/2 yard is 1ft. 6in. in decimal that is 1.5 ft

1.5 ÷6 = 0.25ft

0.25ft is 3 inches so the answer is three inches apart

6 0
3 years ago
Please Help ASAP! Will name Brainliest! Question: Minimize the objective function P = 5x + 8y for the given constraints. x ≥ 0 y
maksim [4K]

Answer:

Option D.

Step-by-step explanation:

Minimize the objective function P = 5x + 8y for the given constraints.

x\geq 0,y\geq 0

2x+3y\geq 15

3x+2y\geq 15

The related equations of above inequalities are

2x+3y=15

3x+2y=15

For 2x+3y=15,

x     y

0     5

7.5   0  

Plot (0,5) and (7.5,0) and join them by straight line.

For 3x+2y=15,

x     y

0     7.5

5      0  

Plot (0,7.5) and (5,0) and join them by straight line.

Check the inequalities for (0,0).

2(0)+3(0)\geq 15\Rightarrow 0\geq 15 False

3(0)+2(0)\geq 15\Rightarrow 0\geq 15 False

It means both lines are solid lines and shaded region for each lies opposite side of (0,0).

From the below graph it is clear that the vertices of feasible region are (0,7.5), (3,3), (7.5,0).

Point       P = 5x + 8y

(0,7.5)     P=5(0)+8(7.5)=60

(3,3)     P=5(3)+8(3)=15+24=39

(7.5,0)     P=5(7.5)+8(0)=37.5 (Minimum)

So, minimum value is 37.5.

Therefore, the correct option is D.

3 0
3 years ago
Other questions:
  • Lawrence just got a $1,500 bonus and is debating between buying a new computer for $700 and buying a home theater for $1,200. He
    14·2 answers
  • Explain how to write the number that is 0.02 less than 1.423
    12·1 answer
  • Can you make more arrays with 8 tiles then 9
    9·2 answers
  • The sum of two numbers is 66. two times the smaller number is 15 more then th larger number what are the numbers
    12·2 answers
  • Plzz help!! Due today!!
    8·1 answer
  • Pls help pls pls pls pls URGENT!!!!!!!! <br> PLS SOMEONEEEEE
    11·2 answers
  • OMG PLS HELP WITH THIS IM PANICKING OMG I GOT A F IN MATH MY MOM JUST YELLED AT ME IM CRYING PLS HELP WITH THS- PLSS TELL ME WHA
    13·1 answer
  • A tree 20 feet tall has a shadow of 15 feet. How tall is Biff if his<br> shadow is 36 inches tall?
    9·1 answer
  • The total cost of painting of four walls of a square hall at Rs. 40 per sq. m. is Rs. 12000. If the hall contains 600 m³ of air,
    13·1 answer
  • Geometry question: Is this enlargement or reduction?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!