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
Margaret [11]
3 years ago
13

Help me out plzzzzzzzzzz!

Mathematics
1 answer:
valentinak56 [21]3 years ago
4 0

Answer:

  1. Independent: one event doesn't depend on the other.
  2. P(Even|Tails): 3/6×1/2= 3/12= 1/4
  3. 0.25 --> 25%
You might be interested in
Please help!!!!<br><br>what is the least common denominator of 1/6, 10/11, 5/12?<br>​
Vesna [10]
<h3>Answer: LCM = 132</h3>

===================================================

Work Shown:

LCM = least common denominator

List out the prime factorization of each denominator

  • 6 = 2*3
  • 11 = 1*11
  • 12 = 2*2*3

So we have the list of primes 2,3, and 11 that help form the denominators when we multiply some of them together.

The prime 2 shows up at most twice, so 2*2 = 4 is a factor of the LCM

The prime 3 shows up at most one time, meaning 3 is also a factor

The prime 11 shows up at most one time, so 11 is another factor

Multiply these factors to get 4*3*11 = 12*11 = 132

The LCM is 132

---------------------

Another Approach:

Focus on 1/6 and 10/11 for now. The LCM is 66 because 6*11 = 66. We simply multiply the denominators together. Then we divide over the GCF 1 to get 66/1 = 66.

The LCM of 1/6 and 10/11 is 66

The fractions 1/6 and 10/11 are equivalent to 11/66 and 60/66 respectively

The original list of fractions updates to 11/66, 60/66, 5/12

We've gone from 3 different denominators to now 2 different denominators.

Repeat the steps of multiplying the denominators and dividing by the GCF

66*12 = 792

792/(gcf of 66 and 12) = 792/6 = 132

So the LCM of all the fractions is 132.

3 0
3 years ago
An insurance policy on an electrical device pays a benefit of 4000 if the device fails during the first year. The amount of the
lora16 [44]

Answer:

Expected benefit under this policy = $ 2694

Step-by-step explanation:

Given - An insurance policy on an electrical device pays a benefit of

            4000 if the device fails during the first year. The amount of the

            benefit decreases by 1000 each successive year until it reaches 0.

            If the device has not failed by the beginning of any given year, the

            probability of failure during that year is 0.4.

To find - What is the expected benefit under this policy ?

Proof -

Let us suppose that,

The benefit = y

Given that, the probability of failure during that year is 0.4

⇒Probability of non-failure = 1 - 0.4 = 0.6

Now,

If the device fail in second year , then

Probability = 0.6×0.4

If the device fail in third year, then

Probability = 0.6×0.6×0.4 = 0.6² × 0.4

Going on like this , we get

If the device is failed in n year, then

Probability = 0.6ⁿ⁻¹ × 0.4

Now,

The probability distribution is-

Benefit , x       4000       3000             2000            1000              0

P(x)                 0.4         0.6×0.4         0.6² × 0.4     0.6³ × 0.4     1 - 0.8704

                      (0.4)       (0.24)            (0.144)         (0.0864)       (0.1296)

At last year, the probability = 1 - (0.4+ 0.24+ 0.144+ 0.0864) = 1 - 0.8704

Now,

We know that,

Expected value ,

E(x) = ∑x p(x)

       = 4000(0.4) + 3000(0.24) + 2000(0.144) + 1000(0.0864) + 0(0.1296)

       = 1600 + 720 + 288 + 86.4 + 0

       = 2694.4

⇒E(x) = 2694.4 ≈ 2694

∴ we get

Expected benefit under this policy = $ 2694

5 0
3 years ago
For the graph below, what is the cost per bottle?
motikmotik
17.5$ for every 5 bottles refilled. $3.50 for every 1 bottle refilled
7 0
3 years ago
Read 2 more answers
1. A metal cylinder is measured to have a length of 5.00 cm and a diameter of 1.26 cm. Compute the volume of the cylinder in cm3
vichka [17]

Answer:

vol = 6.23 cm3

Step-by-step explanation:

dia = 1.26 cm

length = 5.00 cm

vol = area * L

vol = (pi * 1.26² / 4 ) * 5

vol = 6.23 cm3

3 0
3 years ago
Which table represents a proportional relationship that has a constant of proportionality equal to 0.8?
Otrada [13]

The correct answer is the second answer choice.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Joe bought 5.8 pounds of grapes to have as a snack with his 10 friends.If he shares his grapes evenly,how many pounds of grapes
    12·2 answers
  • How to write 16.897 in word form
    13·2 answers
  • Choose the correct equation type for each system.
    15·1 answer
  • you buy a bag of dog food for $12.59 and a bottle of dog shampoo for $4.75. How much more did the dog food cost than the shampoo
    14·1 answer
  • 6 (-3+1) =5 (-2m-2) plz help me ;-----------------------------;
    6·1 answer
  • Suppose you paid $600 to take a geology course, which meets 40 times for one
    7·1 answer
  • Adelphi is 34.3 miles east of sterling. The distance between Adelphi and sterling is
    14·2 answers
  • ??????????????????????????????????
    5·2 answers
  • Genesis has a points card for a movie theater.
    13·2 answers
  • Suppose you like to keep a jar of change on your desk currently at the jar contains the followingWhat is the probability that yo
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!