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Katena32 [7]
3 years ago
7

Mia tossed a penny, a nickel, and a dime. Which is a complete tree diagram for all possible outcomes, where H represents heads a

nd T represents tails?
(the answer choices ar in the picture :D)

Mathematics
1 answer:
Novay_Z [31]3 years ago
8 0

Mia tossed a penny,a nickel and a dime all possible outcomes of H is the answer C.

Step-by-step explanation:

  • The two possible outcomes for penny,nickel and dime is H & T.
  • H is for head T is for tail.
  • Let A {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}
  • Tossing a fair coin will give the above result.
  • S is the called the n number of outcomes that are available for a set.
  • Total outcome of Sample space 8.
  • The three diagram is like a game theory it exploits different outcome.
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The mean incubation time of fertilized eggs is 21 days. Suppose the incubation times are approximately normally distributed with
Korvikt [17]

Answer:

a) 20.16; b) 20.49 and 21.51

Step-by-step explanation:

We use z scores for each of these.  The formula for a z score is

z=\frac{X-\mu}{\sigma}.

For part a, we want the 20th percentile; this means we want 20% of the data to be lower than this. We find the value in the cells of the z table that are the closest to 0.20 as we can get; this is 0.2005, which corresponds with a z score of -0.84.

Using this, 21 as the mean and 1 as the standard deviation,

-0.84 = (X-21)/1

-0.84 = X-21

Add 21 to each side:

-0.84+21 = X-21+21

20.16 = X

For part b, we want the middle 39%.  This means we want 39/2 = 19.5% above the mean and 19.5% below the mean; this means we want

50-19.5 = 30.5% = 0.305 and

50+19.5 = 69.5% = 0.695.

Looking these values up in the cells of the z table, we find those exact values; 0.305 corresponds with z = -0.51 and 0.695 corresponds with z = 0.51:

-0.51 = (X-21)/1

-0.51 = X-21

Add 21 to each side:

-0.51+21 = X-21+21

20.49 = X

0.51 = (X-21)/1

0.51 = X-21

Add 21 to each side:

0.51+21 = X-21+21

21.51 = X

4 0
3 years ago
Express f(x) = |x-2| +|x+2| in the non-modulus form. Hence, sketch the graph of f.
alexgriva [62]
Recall that

|x|=\begin{cases}x&\text{if }x\ge0\\-x&\text{if }x

There are three cases to consider:

(1) When x+2, we have |x+2|=-(x+2) and |x-2|=-(x-2), so

|x-2|+|x+2|=-(x-2)-(x+2)=-2x-4

(2) When x+2\ge0 and x-2, we get |x+2|=x+2 and |x-2|=-(x-2), so

|x-2|+|x+2|=-(x-2)+(x+2)=4

(3) When x-2\ge0, we have |x+2|=x+2 and |x-2|=x-2, so

|x-2|+|x+2|=(x-2)+(x+2)=2x

So

|x-2|+|x+2|=\begin{cases}-2x-4&\text{if }x
4 0
3 years ago
999,765 rounded to the nearest hundred thousand
BigorU [14]
The answer will be: 1,000,000 if you round to the nearest hundred thousands. Hope it helps! :D
4 0
3 years ago
Read 2 more answers
139 students choose to attend one of three after school activities: football, tennis or running.
attashe74 [19]
Answer: 29/139

Explanation:

Total student: 139 (66 boys/73 girls)

Football: 56 student (28 boy/28 girl)

Tennis: 54 student (27 boy/ 27 girl)

Running: 29 student (18 girls/11 boys)

The probability that a student chose running is 29/139

5 0
2 years ago
Solve: 3 = 27^2x+1<br><br> please solve quickly! thank you!
kap26 [50]

Answer: I believe this will be your answer for this.

<u>x = </u>2/729<u>  so basically this is your solution of x equaling to 2 over 729.</u>

<u>(hope this helps!)</u>

8 0
2 years ago
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