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guajiro [1.7K]
3 years ago
14

If you roll a die 100 times, what is the approximate probability that you will roll between 9 and 16 ones, inclusive? (Round you

r answer to two decimal places.) HINT [See Example 4.]
Mathematics
1 answer:
Ann [662]3 years ago
4 0

Answer: 0.47

Step-by-step explanation:

Given that

n = 100, probability of rolling 1 = 1/6

binomial approximation

np = 100 ( 1/6) = 16.667

standard deviation = √ 100 × 1/6 ×5/6 = 3.7627

P ( 9 ≤ X ≤ 16 )

= P ( 8.5 < X < 16.5 )

so,

= P ((8.5 - 16.6667) / 3.7627 < Z < (16.5 - 16.6667) / 3.7627

= P ( -2.17 < Z < -0.04 )

= 0.484 - 0.015

= 0.47

Therefore the approximate probability that you will roll between 9 and 16 ones is 0.47

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The price of a watch was increased by 20% to £144. What was the price before the increase?
hammer [34]

Answer:

120 pounds

Step-by-step explanation:

Since the new cost is 144 pounds and this is 20% more,  this is 120% of the original price. Remember 100+20 = 120. To find the original price set up a proportion with these values:

\frac{144}{x}=\frac{120}{100}

Solve for the original price by cross multiplying numerator with denominator.

x(120) = 144(100)

120x = 14400

x= 120 pounds


6 0
3 years ago
Please find answer. <br>​
Inessa [10]
Midpoint formula
(x2-x1 / 2) , (y2-y1/ 2)
x = 4-(-2) / 2 = 3
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8 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=4%5Csqrt%7B3%7D%2B%5Csqrt%7B3%7D" id="TexFormula1" title="4\sqrt{3}+\sqrt{3}" alt="4\sqrt{3}+\
Firlakuza [10]

Answer:

it's 5\sqrt{3}[/tex]

Step-by-step explanation:

hope it helps you

5 0
2 years ago
Read 2 more answers
Help!!! please what's is the figure​
S_A_V [24]

Hello from MrBillDoesMath!

Answer:

108 cm^2

Discussion:

The area of the logo  =

area of Trapezoid on top (I)  + area of triangle on bottom (II)

I  = (1/2) h ( b1 + b2)            h = altitude, b1, b2 = bases

  = (1/2)  6  ( 6  + 12)

  = (1/2) 6 ( 18)

  = 54

II  = (1/2) b h

   = (1/2) (12) ( 15 - 6)               => altitude of triangle = 15 - 6 NOT (1/2) 15

   =  54

I + II= 54 + 54 = 108

Thank you,

MrB

3 0
3 years ago
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