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Arte-miy333 [17]
3 years ago
12

The largest z-score available in most tables is 2.99, which corresponds to a probability of 99.86%. A fair coin is

Mathematics
1 answer:
lana66690 [7]3 years ago
5 0

Answer:

The number of heads observed is 121.14 heads

Step-by-step explanation:

The formula for the z-score of a proportion is given as follows;

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{pq}{n}}}

Where:

{\hat{p} = Sample proportion

p = Population success proportion = 0.5

q = 1 - p = 1 - 0.5 = 0.5

n = Number in of observation = 200

z = 2.99

Hence, we have;

z=\dfrac{\hat{p}-0.5}{\sqrt{\dfrac{0.5 \times 0.5}{200}}} = 2.99

Therefore;

{\hat{p}-0.5}{} = 2.99 \times \sqrt{\dfrac{0.5 \times 0.5}{200}} = 2.99 \times\dfrac{\sqrt{2} }{40}

{\hat{p} = 0.6057

Whereby \ \hat p = \dfrac{Number \ of \ heads}{Number \ of \ observation} =  \dfrac{Number \ of \ heads}{200} = 0.6057

∴ The number of heads observed = 200 × 0.6057 = 121.14 heads.

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kerry and four friends want to the movies they purchased sodas costing $5.50 each and hotdog each cosing $12.75 they each contri
grandymaker [24]

Answer:

they will each receive $1.75

Step-by-step explanation:

5.50*5= 27.50

12.75*5= 63.75

27.50+63.75= 91.25

20*5= 100

100-91.25=8.75

8.75/5= $1.75

hope this helps

4 0
2 years ago
Solve 2x + 5y = 20; 3x - 10y = 37 by elimination. How do you do this? Thank-you!
mr Goodwill [35]

\left\{\begin{array}{ccc}2x+5y=20&\text{multiply both sides by 2}\\3x-10y=37\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}4x+10y=40\\3x-10y=37\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad7x=77\qquad\text{divide both sides by 7}\\.\qquad\boxed{x=11}\\\\\text{Put the value of x to the first equation:}\\\\2(11)+5y=20\\\\22+5y=20\qquad\text{subtract 22 from both sides}\\\\5y=-2\qquad\text{divide both sides by 5}\\\\\boxed{y=-\dfrac{2}{5}}\\\\Answer:\ \boxed{x=11\ and\ y=-\dfrac{2}{5}}

6 0
3 years ago
Which expression is equivalent to the expression 5(3x+4-x)
Artyom0805 [142]
(5)(3x)+(5)(4)+(5)(-x)
15x+20-5x
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3 0
3 years ago
Pls anyone help need help
Neko [114]

Answer:

- 2 ≤ n < 8

Step-by-step explanation:

The closed circle at - 2 indicates that n can equal - 2

The open circle at 8 indicates that n cannot equal 8

Otherwise n can be all value between - 2 and 8 including - 2, thus

- 2 ≤ n < 8

3 0
3 years ago
Carol used 114 cups of flour in 2 muffins. How many cups of flour are needed to make 12 similar muffins?
son4ous [18]

Answer:

7 1/2 cups

Step-by-step explanation:

If Carol uses 1 1/4 cups of flour for 2 muffins, then she will need to repeat this conversion 6 times since she wants to make identical 12 muffins in all.

So, 1 1/4 * 6 = 7 1/2

Therefore, she needs 7 1/2 cups of flour

Hope that helps! :)

7 0
3 years ago
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