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
Semenov [28]
3 years ago
8

Spike is not a terribly bright student. His chances of passing chemistry are 0.35; mathematics, 0.40; and both, 0.12. Are the ev

ents "Spike passes chemistry" and "Spike passes mathematics" independent? What is the probability that he fails both subjects?
Mathematics
1 answer:
Feliz [49]3 years ago
8 0

Answer:

The events "Spike passes chemistry" and "Spike passes mathematics" are not independent.

The probability that he fails both subjects = 0.37

Step-by-step explanation:

The probability of Spike passing Chemistry = P(Chemistry) = 0.35

The probability of Spike passing Mathematics = P(Mathematics) = 0.40

The probability of Spike passing both Chemistry and Mathematics = P(Chemistry,Mathematics) = 0.12

For the events "Spike passes chemistry" and "Spike passes mathematics" to be independent, P(Chemistry,Mathematics) should be equal to P(Chemistry) * P(Mathematics)

But P(Chemistry) * P(Mathematics)=0.35*0.40 =0.14

So the two events are not independent.

The Probability that he passes Chemistry or Mathematics is given by P(Chemistry) + P(Mathematics) - P(Chemistry,Mathematics)

= 0.35+0.40-0.12=0.63

So the probability that he fails both subjects is the complement of this, namely (1 - 0.63) = 0.37

You might be interested in
Which term can be added to the list so that greatest common factor of the three terms is 12h^3? 36h^3 12h^6. 6h^3. 12h^2. 30h^4.
Juliette [100K]

Answer:

Last Option 48h^{5}.

Step-by-step explanation:

In this question we will do the factors of given two terms then we will do the common factors of all the terms given in answer to match with.

Common factors of 36h³ = 1×2×2×3×3×h×h×h

Common factors of 12h^{6} = 1×2×2×3×h×h×h×h×h×h

In these two terms greatest common factor Of these two terms is = 1×2×2×3×h×h×h = 12h³

Therefore the third term will be the number which has the greatest common factor = 12h³

So the given terms are

6h³ = 1×2×3×h×h×h

12h² = 1×2×2×3×h×h

30h^{4} = 1×2×3×5×h×h×h×h

48h^{5} = 1×2×2×2×2×3×h×h×h×h×h

Therefore the greatest common factor of the term which matches with 12h³ is 48h^{5}

3 0
3 years ago
I really need help<br> I have a 25 in math<br> I really need help
kupik [55]

Answer:

I don't understand the question

8 0
3 years ago
Find the roots of each equation by factoring
Korolek [52]

Answer:

x=7 x=-7

Step-by-step explanation:

Solution is attached.

7 0
3 years ago
Plz help i only need this question who ever get its right will get 77 point
Ivanshal [37]

Answer:

I don't know..............

8 0
3 years ago
Read 2 more answers
Factor: 4x^2-12x+9=0
Andreas93 [3]
Use formula a^2-2ab+b^2=(a-b)^2

4x^2-12x+9&#10;\\(2x)^2-2(2x)(3)+3^2&#10;\\(2x-3)^2
6 0
3 years ago
Read 2 more answers
Other questions:
  • 1. Ki’von has a sink that is shaped like a half-sphere. The sink has a diameter of 20 inches. One day, his sink clogged. He has
    6·1 answer
  • central shooting is hosting a “central has talent” show. They will award various prizes for the best 3 acts in a show. First pla
    10·1 answer
  • You buy a car for $8,000 that depreciates at a rate of 11% a year. How much is the car worth after 5 years?
    5·1 answer
  • A trader needs $300000 to improve her business, she deposits $110000 in her savings account at 5% per annum compound interest. s
    6·1 answer
  • Please help!!!<br><br><br>find the measure of the largest interior angle of this polygon ​
    15·1 answer
  • The table shows the minutes students spent studying for their history exam and the scores they received.
    13·1 answer
  • The dog park had 14 dogs in it .6 of the dogs we're huskies .8 of the dogs were mutts . Write the ratio of huskies to mutts as t
    12·1 answer
  • Which associations best describe the scatter plot?
    6·2 answers
  • Please help, it is a bonus problem so you don't have to show your work. But I would like to see it.
    9·2 answers
  • (Total for
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!