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
dusya [7]
3 years ago
14

Ana is choosing a pillow for her bed. The probability that the pillow is encased in microfiber is 0.5 . The probability that the

pillow is filled with memory foam is 0.7. The probability that the pillow is filled with memory foam and encased in microfiber is 0.3. Which equation shows the correct use of the addition rule to determine the probability that the pillow is either encased in microfiber or filled with memory foam?
Mathematics
1 answer:
Ymorist [56]3 years ago
3 0

Answer:

P(A or B) = P(A) + P(B) - P(A and B) = 0.5 + 0.7 - 0.3 = 0.9

Step-by-step explanation:

The equation we should use to calculate the addition of probabilities is:

P(A or B) = P(A) + P(B) - P(A and B)

Notice that if we just sum P(A) + P(B), our result would be wrong, because we would sum the intersection of those events two times.

So, in this case, if we call 'A' the pillow being encased in microfiber and 'B' the pillow being filled with memory foam, we have that:

P(A) = 0.5

P(B) = 0.7

P(A and B) = 0.3

So the addition of both probabilities is:

P(A or B) = 0.5 + 0.7 - 0.3 = 0.9

You might be interested in
Three coins are tossed. What is the probability that all three will land heads up?
Rus_ich [418]

Answer:

1/8

Step-by-step explanation:

7 0
3 years ago
Tara bicycles 15 mph with no wind. Against the wind, she bikes 10 miles in the same time that it takes to bike 16 miles with the
wlad13 [49]

Answer:

3.46 mph

Step-by-step explanation:

Speed of Tara bicycling without wind effect = 15mph

let the speed of wind be x mph

If she cycles against the wind then her speed will be decrease by the amount as the speed of wind

Then,

Speed of Tara bicycling against wind effect = (15-x)mph

distance traveled by Tara against wind = 10 miles

we know that

time = distance by speed

time taken by Tara while traveling against wind = 10/(15-x)

_______________________________________________________

If she cycles with the wind then her speed will be increase by the amount as the speed of wind

Then,

Speed of Tara bicycling with wind effect = (15+x)mph

distance traveled by Tara w wit wind = 16 miles

time taken by Tara while traveling with wind = 16/(15+x)

___________________________________________

it is given that both the time are same

time taken by Tara while traveling with wind  = time taken by Tara while traveling against wind

16/(15+x) = 10/(15-x)

=> 16(15-x)=10(15+x)

=> 240 - 16x = 150 +10x

=>240 - 150 = 10x+16x

=> 90 = 26x

=> x = 90/26 = 3.46

Thus, speed of wind is 3.46 mph.

5 0
3 years ago
Please help me and give explanation
Nastasia [14]

Answer:

It is 3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Will give Brainest answer !!! 30 points !!
vova2212 [387]

Answer:

1 is greater than 2 is 5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Look at the sample below 2x-8=12
guajiro [1.7K]

Answer:

x = 10

Step-by-step explanation:

Make x the subject

2x - 8 = 12

2x = 12 + 8

2x = 20

x = 20/2

x = 10

!!

5 0
3 years ago
Other questions:
  • Find (f^-1)'(a):<br> f(x) = 3+x^2+tan(pi(x)/2), <br> -1
    13·1 answer
  • To shop a package, a company charges a one-time fee plus a fee based on the weight of the package. The table below shows the tot
    8·1 answer
  • Pat listed all the numbers have 15 as a multiple. write the numbers in pat's list
    14·1 answer
  • A pickup truck carrying 10 to the 3rd power identical bricks weighs 6,755 pounds. If the empty truck weighs 6,240 pounds, what i
    15·1 answer
  • A fraction that is less than 5/8 but with the same denominator
    15·1 answer
  • What is – 3(8y)? in mathematics form
    6·1 answer
  • A line is reflected. Which of these could be the result?<br> O A.<br> B.<br> O c.<br> /<br> OD.
    14·2 answers
  • What is the value of m in the equation one-half m minus three-fourths n equals 16, when n equals 8?
    15·1 answer
  • Does side lengths 2, 5 and 7 form a right triangle
    11·1 answer
  • Where does billy bob johns
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!