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LenaWriter [7]
3 years ago
12

A coin is flipped twice. What is the probability that it will come up once heads and once tails

Mathematics
1 answer:
Illusion [34]3 years ago
5 0

1/2 or 50%, because there are two possibilities out of four.

If you think about flipping a coin twice, there are exactly four possible outcomes:

  Flip 1          Flip 2

1. tails            heads

2. tails            tails

3. heads        tails

4. heads        heads

In two of these possibilities (1 and 3) the coin flipped different sides.

That means 2/4 possibilities matched, and this can be reduced to 1/2

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How to graph y <7/3x- 5
fenix001 [56]
Use Desmos the graphing app it's great!
8 0
3 years ago
Crop researchers plant 15 plots with a new variety of corn. The yields in bushels per acre are: 138.0 139.1 113.0 132.5 140.7 10
son4ous [18]
There is a relationship between confidence interval and standard deviation:
\theta=\overline{x} \pm \frac{z\sigma}{\sqrt{n}}
Where \overline{x} is the mean, \sigma is standard deviation, and n is number of data points.
Every confidence interval has associated z value. This can be found online.
We need to find the standard deviation first: 
\sigma=\sqrt{\frac{\sum(x-\overline{x})^2}{n}
When we do all the calculations we find that:
\overline{x}=123.8\\ \sigma=11.84
Now we can find confidence intervals:
($90\%,z=1.645): \theta=123.8 \pm \frac{1.645\cdot 11.84}{\sqrt{15}}=123.8 \pm5.0\\($95\%,z=1.960): \theta=123.8 \pm \frac{1.960\cdot 11.84}{\sqrt{15}}=123.8 \pm 5.99\\ ($99\%,z=2.576): \theta=123.8 \pm \frac{2.576\cdot 11.84}{\sqrt{15}}=123.8 \pm 7.87\\
We can see that as confidence interval increases so does the error margin. Z values accociated with each confidence intreval also get bigger as confidence interval increases.
Here is the link to the spreadsheet with standard deviation calculation:
https://docs.google.com/spreadsheets/d/1pnsJIrM_lmQKAGRJvduiHzjg9mYvLgpsCqCoGYvR5Us/edit?usp=sharing
6 0
3 years ago
I need help pleace ​
Whitepunk [10]

Answer

<em>length = width + 15</em>

<em>Area = length * width; area is 54 square feet.</em>

<em>Two equations are:</em>

<em>L = W + 15</em>

<em>L * W = 54</em>

<em>To solve, we substitute first equation into second equation:</em>

<em>(W + 15) * W = 54</em>

<em>w^2 + 15w = 54</em>

<em>w^2 + 15w - 54 = 0</em>

<em>(w+18)(w-3) = 0</em>

<em>w = -18 or 3</em>

<em>The width cannot be negative, so 3 is the width and since length is 15 more than width, length is 18:</em>

<em />

<em>Length = 18 feet</em>

<em>Width = 3 feet</em>

<em />

<em />

7 0
3 years ago
Find the value or measure below. Assume that lines that appear tangent to be tangent.​
Ahat [919]

Answer:

x = 11.2

Step-by-step explanation:

hypotenuse = 8.4 (radius) + 5.6 = 14  

using the Pythagorean theorem:

x² = 14² - 8.4² = 196 - 70.56 =125.44

x = √125.44 = 11.2

5 0
3 years ago
Which equation shows the value of -2/5-(-9/15)
enot [183]

Answer:

D.

Step-by-step explanation:

-2/5 - (-9/15) = -2/5 + 9/15.

both of those equations are equivalent.

hope this helps.

7 0
2 years ago
Read 2 more answers
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