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Mazyrski [523]
3 years ago
8

Please help me with this

Mathematics
1 answer:
Alex787 [66]3 years ago
6 0
Im srry i cant help with that because K12 will not let me look up answers i bet
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A coin is biased such that a is times as likely to occur as a tail. Find the expected number of when this coin is tossed twice.
Sever21 [200]

Complete question:

A coin is biased such that a head is three times as likely to occur as a tail. Find the expected number of tails when this coin is tossed twice.

Answer:

1/2

Step-by-step explanation:

Head is 3 times as likely to occur as tail;

Hence,

Sample space for 2 tosses :

{HH, HH, HH, HH, HH, HH, HH, HH, HH, HT, HT, HT, HT, HT, HT, TT}

Expected probability (E(x)) = Σx*p(x)

P(x) = required outcome / Total possible outcomes

x : __________ 0 ______ 1 _______ 2

p(x) : ________9/16_____6/16_____1/16

Σx*p(x) : 0(9/16) + 1(6/16) + 2(1/16)

= 0 + 6/16 + 2/16

= 0 + 3/8 + 1/8

= 4/8

= 1/2

8 0
3 years ago
Solve the system shown.
krek1111 [17]
1. Rewrite the system:

 x+12y=68  (i)
 x=8y-12   (ii)

 2. Let's substitute the equation (ii) into the equation (i):

 x+12y=68
 (8y-12)+12y=68

 3. Then, you have:

 8y-12+12y=68

 4. When you clear "y", you have:

 20y-12=68
 20y=68+12
 20y=80
 y=80/20
 y=4

 5. You already have the value of "y". Now, you must substitute this value into the equation (ii):

 x=8y-12
 x=8(4)-12
 x=32-12
 x=20

 6. Therefore, the result is:

 x=20
 y=4
3 0
3 years ago
Tarinda's corn plant was 7- 1/3 inches tall at the end of Week 1. The corn plant was 18 1/2 inches tall at the end of Week 2. Ho
liberstina [14]

Answer:

The corn plant grew by 11.17 inches during week 2.

Step-by-step explanation:

7 and 1/3 inches tall at the end of Week 1.

The height at the end of week 1, as a simple fraction, is:

7 + \frac{1}{3} = \frac{3*7 + 1}{3} = \frac{22}{3}

The corn plant was 18 1/2 inches tall at the end of Week 2.

At the end of week 2, the height will be of:

18 + \frac{1}{2} = \frac{18*2+1}{2} = \frac{37}{2}

How many inches did the corn plant grow during Week 2?

Height at the end of week 2 subtracted by the height at the end of week 1. So

\frac{37}{2} - \frac{22}{3} = \frac{3*37-2*22}{6} = \frac{67}{6} = 11.17

The corn plant grew by 11.17 inches during week 2.

5 0
2 years ago
Both the numerator and denominator of 18/21 can be divided by ___.
alex41 [277]
3.3 hope this helps
3 0
3 years ago
Read 2 more answers
What is the angle of elevation to the nearest tenth of a degree to the top of a 55ft building from 95ft away? Please help fast.
hammer [34]

Answer:

30.1°

Step-by-step explanation:

Let A = angle of elevation

tan A = 55/95

A = arctan 55/95

    = 30.1°

4 0
3 years ago
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