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
stiv31 [10]
2 years ago
9

Discussion Prompt: A fair coin is tossed twice and the number of heads is recorded. Jose says the P(1 head) = 1/2, while Jeff st

udents says P(1 head) = 1/3. Explain in detail why Jose is correct.
Mathematics
1 answer:
NemiM [27]2 years ago
8 0

Let H represent heads and T represent tails.

Writing HH means we get two heads and HT means we get heads first, then tails second, and so on.

We have these four possible outcomes when flipping two coins

  • HH
  • HT
  • TH
  • TT

Of those four outcomes, two of them have exactly one head show up (HT and TH). The probability of getting exactly one head is 2/4 = 1/2, so this is why Jose is correct.

You might be interested in
If f(x) = (1/8)(8^x), what is f(3)?
faust18 [17]

Answer:

f(3)=64

Step-by-step explanation:

f(3)=(1/8)(8 cubed)

f(3)= 8 to the negative one times 8 cubed

f(3)= 8 squared

f(3)=64

5 0
2 years ago
Read 2 more answers
Find the times (to the nearest hundredth of a second) that the weight is halfway to its maximum negative position over the inter
hoa [83]

Answer:

0.20 and 0.36

Step-by-step explanation:

y(t) = 2 sin (4π t) + 5 cos (4π t)

We wish to convert this to:

y = A sin(ωt + φ)

We know that ω = 4π.  We also know the following:

5 = A sin φ

2 = A cos φ

Divide the first equation by the second equation:

5/2 = tan φ

φ = tan⁻¹(5/2)

Now, square the two equations and add them together.

5² + 2² = (A sin φ)² + (A cos φ)²

29 = A²

A = √29

The equation of the wave is therefore:

y = √29 sin(4π t + tan⁻¹(5/2))

The maximum negative position is -√29.  And half of that is -½√29.

-½√29 = √29 sin(4π t + tan⁻¹(5/2))

-½ = sin(4π t + tan⁻¹(5/2))

7π/6 + 2kπ or 11π/6 + 2kπ = 4π t + tan⁻¹(5/2)

7 + 12k or 11 + 12k = 24t + 6 tan⁻¹(5/2) / π

t = (7 + 12k − 6 tan⁻¹(5/2) / π) / 24 or (11 + 12k − 6 tan⁻¹(5/2) / π) / 24

Trying different integer values of k, we find there are two possible values for t between 0 and 0.5, both when k = 0.

t = (7 − 6 tan⁻¹(5/2) / π) / 24 or (11 − 6 tan⁻¹(5/2) / π) / 24

t ≈ 0.20 or 0.36

5 0
2 years ago
Compare the values of the underlined digits.
Fantom [35]

To solve this problem, you have to determine the value of the number 3 in both numbers:

6,300 – the number 3 is in the hundreds place so its value is 300

530 – the number 3 is in the tens place so its value is 30

To answer the question, the value of 3 in 6,300 is 10 times the value of 3 in 530.

7 0
3 years ago
Find the measure of angle b
anygoal [31]

Answer: 69 degrees!!!!

I hope this helps you and good luck! ☺

7 0
3 years ago
Help right triangle
GarryVolchara [31]
The right triangle is 120 degrees
5 0
2 years ago
Other questions:
  • (5s-6)(3s+2) please just give me the answer I have to turn it in today
    8·1 answer
  • (7+5)-2=(5+7)-2 What property is this??
    8·2 answers
  • How do you find the slope using a table
    13·2 answers
  • What are the potential solutions of In(x? - 25) - 0?<br> O x-+ 13<br> X-V28<br> O x-=10
    10·1 answer
  • Simplify the expression (5 3i) (4-4i) a. 8i b. 9-i c. 9 i d. 9-7i
    11·1 answer
  • Compound inequalities<br>SOLVE FOR X​
    14·2 answers
  • Justin wants to buy a new pair of Jean's. If the jeans were originally $50.00, but are on sale with a 30% discount, how much wil
    7·1 answer
  • Please solve this problem, I have no idea with it
    12·1 answer
  • Michelle rode her bicycle from her house to school at an average speed of 8 miles per hour. Later that day, she rode from school
    13·1 answer
  • Using technology or by hand, make a dot plot representing the data shown in the table. Make sure to label your plot appropriatel
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!