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Lesechka [4]
3 years ago
7

Eborah finds that the theoretical probability of flipping "heads" on a fair coin was 50%. After she flipped the fair coin 100 ti

mes, she calculated that she flipped "heads" 45 times. What is the percent difference in theoretical and experimental probability?
Mathematics
1 answer:
eimsori [14]3 years ago
3 0

Answer:

5%

Step-by-step explanation:

Given that:

Theoretical probability = 50%

The experimental probability = number of desired outcome / number of trials

Hence, experimental probability = 45 / 100 = 0.45

0.45 = 0.45 * 100% = 45%

Percentage difference in theoretical and experimental probability :

Theoretical - experimental

50% - 45% = 5%

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Answer:

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Step-by-step explanation:

y - y₁ = m(x - x₁)

⇒ y - 0 = -1/2(x - 6)

⇒ y = -1/2x + 3

8 0
3 years ago
Use the distributive property to remove the parentheses. -6(5y-2u-3)
olga55 [171]
<h2>Answer: -30y + 12u + 18 </h2>

<h3>Step-by-step explanation:</h3>

    <em> by multiplying each term in the parentheses by the term outside</em>

-6(5y-2u-3) = (-6 × 5y) + (-6 × - 2u) + (-6 × -3)

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7 0
3 years ago
I need help now, please. Please explain also. Thanks!
Slav-nsk [51]

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Step-by-step explanation:

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4 0
3 years ago
Mai will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $59.96 and costs an a
juin [17]

Answer:

600 miles.

Step-by-step explanation:

So basically we can write both plans as linear functions:

F(x) = $59.96+$0.14 . x

S(x) = $71.96+$0.12 . x

Where F(x) is the first plan, S(x) is the second one and X are the miles driven.

To know how many miles does Mai need to drive for the two plans to cost the same, we equalize both equations and isolate x.

F(x) = S (x)

$59.96+$0.14.x = $71.96+$0.12.x \\0.14x-0.12x=71.96-59.96\\0.02x=12\\x=12 : 0.02\\x= 600

Mai has to drive 600 miles for the two plans to cost the same-

4 0
3 years ago
Lauren Michel lends $17,000 at a rate of 10.7% .
Maru [420]
Given:
Principal = 17,000
rate = 10.7%
term = x/360
interest = 1,121.72

Interest = Principal * rate * term
1,121.72 = 17,000 * .107 * x/360
1,121.72 = 1,819x / 360
1,121.72 * 360 = 1,819x
403,632 / 1,819 = x
221.90 = x

Lauren Michelle will have to wait 222 days for her investment to earn $1,121.72

Given:
Principal = x
rate = 9%
term = 10 months
interest = 1,687.50

Interest = Principal * rate * term
1,687.50 = x * 0.09 * 10/12
1,687.50 = x * 0.075
1,687.50 / 0.075 = x
22,500 = x

The amount Sandra Leatherwood invested was $22,500.


7 0
3 years ago
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