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stiv31 [10]
3 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]3 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.

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In the equation (x^2+y)^5, what is the coefficient of the term x^4y^3? what is the coefficient of the same term in the expansion
lys-0071 [83]

\displaystyle
(x+y)^n=\sum_{k=0}^n\binom{n}{k}x^{n-k}y^k

<em>-------------------------------------------------------------</em>


\displaystyle&#10;(x^2+y)^n=\sum_{k=0}^n\binom{n}{k}x^{2n-2k}y^k\\&#10;n=5\\&#10;k=3\\\\\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdor5}{2}=10

<u>It's 10.</u>

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

\displaystyle&#10;(3x^2+y)^n=\sum_{k=0}^n\binom{n}{k}(3x)^{2n-2k}y^k=\sum_{k=0}^n\binom{n}{k}\cdot 3^{2n-2k}\cdot x^{2n-2k}y^k\\\\&#10;n=5\\&#10;k=4\\\\&#10;\binom{5}{3}\cdot3^{2\cdot5-2\cdot4}=10\cdot3^{2}=10\cdot9=90

<u>It's 90</u>

6 0
3 years ago
Cuantos números primos hay entre 30 y 40?
max2010maxim [7]

Answer:

Dos numeros primos

Step-by-step explanation:

31 y 37 no son productos de dos números naturales más pequeños. Los otros numeros entre 30 y 40 son compuestos.

6 0
2 years ago
What value of t is the solution of the above equation?
mel-nik [20]

Answer:

15/4, or 3 3/4 is your answer.

Step-by-step explanation:

Isolate the variable, t. Note the equal sign, what you do to one side, you do to the other. Multiply 3/2 to both sides.

(3/2)(2/3)t = (5/2)(3/2)

t = (5/2)(3/2)

t = 15/4

15/4, or 3 3/4 is your answer.

~

7 0
3 years ago
Samantha is making goodie bags for a birthday party. She puts 2 slices of pie in each goodie bag. Her sister then puts an equal
Diano4ka-milaya [45]
5 goodie bags
25 pies
25/2= 12.5
12.5=2.5
The answer varies if you choices are whole numbers or fraction, right now it would be 2 and a half pies but it could change if they are asking for a whole number
7 0
2 years ago
After taxes, Liza makes $2,185.76 each month. From that, she has to pay three bills. For the last month, one bill is for $73.49,
Taya2010 [7]

Answer:

the  amount left to spend is $740.77

Step-by-step explanation:

The computation of the amount left to spend is as follows:

= Each month payment - last month payment bills

= $2,185.76 - $73.49 - $897.19 - $474.31

= $740.77

Hence, the  amount left to spend is $740.77

We simply deduct three amount bills from the each month payment

3 0
2 years ago
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